Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample4.0s (32.3%)

Results

2.6s	2221×	body	2048	valid
730.0ms	971×	body	1024	valid
511.0ms	4549×	body	256	valid
190.0ms	515×	body	512	valid

Bogosity

preprocess14.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-1`
2×	`rational_best-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	10	21
2	12	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-1`
2×	`rational_best-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	10	21
2	12	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

13.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.7b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(atan.f64 (+.f64 N 1))
✓	2.4b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	-inf	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	0	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	-inf	(atan.f64 (+.f64 N 1))
0.0ms	N	@	0	(atan.f64 (+.f64 N 1))

rewrite361.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`rational_best-simplify-1`
1108×	`rational_best-2`
1108×	`rational_best-3`
1108×	`rational_best-1`
1092×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	56	32
2	81	32
3	97	32
4	113	32
5	140	32
6	175	32
7	236	32
8	403	32
9	825	32
10	1545	32
11	2018	32
12	2147	32
13	2292	32
14	2394	32
15	2814	32
16	3553	32
17	4748	32
18	6006	32
19	6352	32
20	6718	32
21	6830	32
22	6850	32
23	7016	32
24	7360	32
25	7738	32

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan.f64 (+.f64 N 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) 2) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) (.f64 (atan.f64 N) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (.f64 (atan.f64 N) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (+.f64 (.f64 (atan.f64 N) -2) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2))) (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2)) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))) (.f64 (atan.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2)) (.f64 (atan.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 N) -2) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))) (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 (atan.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) -3) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) -4) (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) -4) (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 N 1)) -4)) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) 4)) (-.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) 2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) (.f64 (atan.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (.f64 (atan.f64 N) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) 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Outputs

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

simplify265.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational_best-simplify-1`
1356×	`rational_best-simplify-52`
1134×	`rational_best-simplify-2`
936×	`rational_best-simplify-46`
866×	`rational_best-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	178	3065
1	267	3065
2	579	2621
3	1686	2569
4	3761	2557
5	5355	2557
6	6400	2557
7	6796	2557
8	6933	2557
9	6968	2557
10	7109	2557

Stop Event

1×	node limit

Counts

115 → 130

Calls

Call 1

Inputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
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(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
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(+.f64 (*.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
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(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 3))
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(+.f64 (.f64 (atan.f64 N) -4) (-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2)))
(+.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)) (neg.f64 (atan.f64 (+.f64 N 1))))
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(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(/.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
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(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) (.f64 (atan.f64 N) -2))
(+.f64 (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (.f64 (atan.f64 N) -3))
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(+.f64 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
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(+.f64 (-.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2))) (-.f64 (.f64 (atan.f64 N) 2) (*.f64 (atan.f64 (+.f64 N 1)) -4)))
(-.f64 (atan.f64 (+.f64 N 1)) 0)
(-.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (neg.f64 (atan.f64 N)))
(-.f64 0 (neg.f64 (atan.f64 (+.f64 N 1))))
(-.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))
(-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) -2))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1)
(/.f64 (atan.f64 (+.f64 N 1)) 1)
(/.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1)
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(neg.f64 (neg.f64 (atan.f64 (+.f64 N 1))))

Outputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
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(atan.f64 (+.f64 1 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -2)))
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(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
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(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) 0)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (neg.f64 (atan.f64 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (.f64 (atan.f64 N) 2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 2)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) (.f64 (atan.f64 N) -2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (.f64 (atan.f64 N) -3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2)) (.f64 (atan.f64 N) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (.f64 (atan.f64 N) 2) (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (-.f64 (.f64 (atan.f64 N) 2) (atan.f64 (+.f64 N 1))) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (-.f64 (.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) -2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (.f64 (atan.f64 (+.f64 N 1)) 4))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (.f64 (atan.f64 N) -3) (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) -4)) (-.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 1 N)) 2) (.f64 (atan.f64 N) -4)) (-.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 1 N)) (.f64 (atan.f64 N) 2))))
(+.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 N 1)) -4)) (-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N))))
(+.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 1 N)) -4)) (+.f64 (atan.f64 N) (-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (*.f64 (atan.f64 (+.f64 1 N)) 2))))
(+.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 1 N)) -4)) (+.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (-.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 1 N)) 2))))
(+.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 1 N)) -4)) (+.f64 (.f64 (atan.f64 N) 2) (.f64 (atan.f64 (+.f64 1 N)) -3)))
(+.f64 (+.f64 (.f64 (atan.f64 N) 2) (.f64 (atan.f64 (+.f64 1 N)) -3)) (-.f64 (.f64 (atan.f64 (+.f64 1 N)) 4) (.f64 (atan.f64 N) 2)))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) 4)) (-.f64 (.f64 (atan.f64 N) 2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2))))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 1 N)) 2) (.f64 (atan.f64 N) 4)) (-.f64 (.f64 (atan.f64 N) 2) (+.f64 (atan.f64 (+.f64 1 N)) (.f64 (atan.f64 N) -2))))
(+.f64 (-.f64 (.f64 (atan.f64 N) 2) (.f64 (atan.f64 (+.f64 N 1)) -4)) (-.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 2))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) (.f64 (atan.f64 (+.f64 N 1)) 6))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (-.f64 (.f64 (atan.f64 N) 2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) 4)))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 1 N)) 2) (.f64 (atan.f64 N) 4)) (-.f64 (.f64 (atan.f64 N) 2) (+.f64 (atan.f64 (+.f64 1 N)) (.f64 (atan.f64 N) -2))))
(+.f64 (-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N))) (-.f64 (.f64 (atan.f64 N) -2) (*.f64 (atan.f64 (+.f64 N 1)) -4)))
(+.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 1 N)) -4)) (+.f64 (atan.f64 N) (-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (*.f64 (atan.f64 (+.f64 1 N)) 2))))
(+.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 1 N)) -4)) (+.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (-.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 1 N)) 2))))
(+.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 1 N)) -4)) (+.f64 (.f64 (atan.f64 N) 2) (.f64 (atan.f64 (+.f64 1 N)) -3)))
(+.f64 (+.f64 (.f64 (atan.f64 N) 2) (.f64 (atan.f64 (+.f64 1 N)) -3)) (-.f64 (.f64 (atan.f64 (+.f64 1 N)) 4) (.f64 (atan.f64 N) 2)))
(+.f64 (-.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) -4)))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 1 N)) 2) (.f64 (atan.f64 N) -4)) (-.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 1 N)) (.f64 (atan.f64 N) 2))))
(+.f64 (-.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2))) (-.f64 (.f64 (atan.f64 N) 2) (*.f64 (atan.f64 (+.f64 N 1)) -4)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(-.f64 (atan.f64 (+.f64 N 1)) 0)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(-.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (neg.f64 (atan.f64 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(-.f64 0 (neg.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(-.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) -2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(/.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(/.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(neg.f64 (neg.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))

eval34.0ms (0.3%)

Compiler: Compiled 2299 to 1507 computations (34.4% saved)

prune457.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	3	131

Error

13.5b

Counts

131 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.7b	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 N))
▶	13.7b	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))
✓	13.7b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Status

Error

Program

▶

13.7b

(-.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) (*.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 N))

▶

13.7b

(-.f64 (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) (*.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))

✓

13.7b

(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 42 to 34 computations (19% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
✓	0.0b	(*.f64 (atan.f64 (+.f64 N 1)) -3)
✓	0.1b	(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3))
✓	30.4b	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))

Compiler

Compiled 55 to 43 computations (21.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))
1.0ms	N	@	inf	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))
0.0ms	N	@	0	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))
0.0ms	N	@	-inf	(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3))
0.0ms	N	@	0	(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3))

rewrite228.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`rational_best-simplify-1`
1098×	`rational_best-simplify-2`
1032×	`rational_best-2`
1032×	`rational_best-3`
1032×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	91	49
2	126	49
3	144	49
4	160	49
5	191	49
6	250	49
7	377	49
8	687	49
9	1719	49
10	3184	49
11	3445	49
12	3548	49
13	3689	49
14	3784	49
15	5087	49
16	6274	49
17	7402	49
18	7846	49

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3))
(*.f64 (atan.f64 (+.f64 N 1)) -3)

Inputs

(-.f64 (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) (*.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))

(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) (*.f64 (atan.f64 (+.f64 N 1)) -3))

(*.f64 (atan.f64 (+.f64 N 1)) -3)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -4) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 (+.f64 N 1)) -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 5) (.f64 (atan.f64 (+.f64 N 1)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -8) (.f64 (atan.f64 (+.f64 N 1)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 3))) (.f64 2 (+.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (neg.f64 (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (neg.f64 (atan.f64 N))))) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -4) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (atan.f64 (+.f64 N 1)) 3))))))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (atan.f64 N)) (-.f64 (*.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1)))) (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1)) 5)) (*.f64 (atan.f64 (+.f64 N 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (atan.f64 N) -2) (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1)) -5)) (*.f64 (atan.f64 (+.f64 N 1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 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egg-rr> (2) ((x neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -4) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) (*.f64 (atan.f64 (+.f64 N 1)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 (+.f64 N 1)) -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -5) (*.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 5) (*.f64 (atan.f64 (+.f64 N 1)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -8) (*.f64 (atan.f64 (+.f64 N 1)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 3))) (*.f64 2 (+.f64 (atan.f64 N) (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) (neg.f64 (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -6) (*.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (+.f64 (atan.f64 N) (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) (neg.f64 (atan.f64 N))))) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) -4) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3))))))

simplify350.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1406×	`rational_best-simplify-1`
1150×	`rational_best-simplify-56`
1124×	`rational_best-simplify-54`
1040×	`rational_best-simplify-2`
910×	`rational_best-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	194	5621
1	332	2849
2	804	2849
3	2064	2849
4	3684	2849
5	4627	2849
6	5231	2849
7	5710	2849
8	6040	2849
9	6089	2849
10	6690	2849
11	7516	2849
12	7922	2849

Stop Event

1×	node limit

Counts

143 → 122

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (+.f64 (.f64 4 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 -3 (atan.f64 (-.f64 1 (.f64 -1 N))))) (atan.f64 N))
(-.f64 (+.f64 (.f64 4 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 -3 (atan.f64 (-.f64 1 (.f64 -1 N))))) (atan.f64 N))
(-.f64 (+.f64 (.f64 4 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 -3 (atan.f64 (-.f64 1 (.f64 -1 N))))) (atan.f64 N))
(-.f64 (+.f64 (.f64 4 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 -3 (atan.f64 (-.f64 1 (.f64 -1 N))))) (atan.f64 N))
(+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1))))
(+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1))))
(+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1))))
(+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1))))
(+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1))))
(+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1))))
(+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1))))
(+.f64 (.f64 -3 (atan.f64 (+.f64 N 1))) (.f64 4 (atan.f64 (+.f64 N 1))))
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Outputs
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(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(/.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) 0)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) 3))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (.f64 (atan.f64 (+.f64 N 1)) -4))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (neg.f64 (atan.f64 N)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 0 (neg.f64 (atan.f64 (+.f64 N 1))))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) -2))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 (+.f64 N 1)) -3))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(*.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1))))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(*.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(/.f64 (atan.f64 (+.f64 N 1)) 1)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(/.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(neg.f64 (neg.f64 (atan.f64 (+.f64 N 1))))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 -3 (atan.f64 (+.f64 N 1))))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) -4))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) 0)
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) -3))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) -2))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) (neg.f64 (atan.f64 (+.f64 N 1))))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -4) (atan.f64 (+.f64 N 1)))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) -6))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 (+.f64 N 1)) -5))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) (.f64 (atan.f64 (+.f64 N 1)) 2))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 5) (.f64 (atan.f64 (+.f64 N 1)) -8))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -8) (.f64 (atan.f64 (+.f64 N 1)) 5))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 3))) (.f64 2 (+.f64 (atan.f64 N) (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) (neg.f64 (atan.f64 N))))))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (.f64 (atan.f64 (+.f64 N 1)) 3))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 2 (+.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (neg.f64 (atan.f64 N))))) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 3))))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) 4))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) 0)
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(-.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) 3))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) 2))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 (+.f64 N 1)))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -4) (neg.f64 (atan.f64 (+.f64 N 1))))
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) 1)
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) -1)
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) 1)
(*.f64 -3 (atan.f64 (+.f64 N 1)))
(neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3))
(*.f64 -3 (atan.f64 (+.f64 N 1)))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
✓	0.0b	(*.f64 (atan.f64 (+.f64 N 1)) 3)
✓	0.1b	(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2))
✓	30.4b	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 N))

Compiler

Compiled 55 to 43 computations (21.8% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	N	@	-inf	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 N))
0.0ms	N	@	0	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 N))
0.0ms	N	@	inf	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 N))
0.0ms	N	@	0	(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2))
0.0ms	N	@	-inf	(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2))

rewrite226.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2016×	`rational_best-simplify-1`
1264×	`rational_best-2`
1264×	`rational_best-3`
1264×	`rational_best-1`
1260×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	90	49
2	126	49
3	165	49
4	234	49
5	353	49
6	701	49
7	1689	49
8	3447	49
9	5280	49
10	6770	49
11	7555	49
12	7788	49
13	7788	49

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

Inputs
(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 N))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2))
(*.f64 (atan.f64 (+.f64 N 1)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (atan.f64 N)) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (atan.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) (-.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) (neg.f64 (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) -5)) (-.f64 (*.f64 (atan.f64 N) -2) (*.f64 (atan.f64 (+.f64 N 1)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) (*.f64 (atan.f64 (+.f64 N 1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 6) (*.f64 (atan.f64 (+.f64 N 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 6) (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -6) (*.f64 (atan.f64 (+.f64 N 1)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -4) (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) -9) (*.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (+.f64 N 1)) 9) (*.f64 (atan.f64 (+.f64 N 1)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6)) (*.f64 (atan.f64 (+.f64 N 1)) -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 7)) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -4) (*.f64 (atan.f64 (+.f64 N 1)) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -4) (*.f64 (atan.f64 (+.f64 N 1)) 7)) (*.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) -6)) (*.f64 (atan.f64 (+.f64 N 1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) 4)) (*.f64 (atan.f64 (+.f64 N 1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) -2) (*.f64 (atan.f64 (+.f64 N 1)) -5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) (*.f64 (atan.f64 (+.f64 N 1)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) 6) (*.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) -6) (*.f64 (atan.f64 (+.f64 N 1)) -9))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan.f64 (+.f64 N 1)) -4) (*.f64 (atan.f64 (+.f64 N 1)) -7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3))))))

simplify725.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

2256×	`rational_best-simplify-42`
1272×	`rational_best-simplify-55`
1266×	`rational_best-simplify-1`
1170×	`rational_best-simplify-29`
992×	`rational_best-simplify-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	286	8231
1	451	6579
2	973	6579
3	1950	6579
4	3718	6579
5	4746	4563
6	5275	4563
7	5639	4563
8	5925	4563
9	5965	4563
10	6342	4563
11	6575	4563
12	7183	4563
13	7473	4563
14	7727	4563
15	7743	4563
16	7743	4563
17	7743	4563

Stop Event

1×	node limit

Counts

201 → 188

Calls

Call 1

Inputs
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N)))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N))))))
(-.f64 (.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N)))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N))))))
(-.f64 (.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N)))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N))))))
(-.f64 (.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N)))) (+.f64 (atan.f64 N) (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N))))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 2 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(-.f64 (.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(-.f64 (.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(-.f64 (.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 2 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N))))
(.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N))))
(.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N))))
(.f64 3 (atan.f64 (-.f64 1 (.f64 -1 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
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(+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N)))
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(+.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1)) 2))
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(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N))))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (atan.f64 N))))
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(+.f64 (*.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
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(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 5) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -4) (atan.f64 N)))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -2)) (atan.f64 N))
(+.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 N) -2)) (-.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 2)))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N))) (.f64 (atan.f64 N) -3))
(+.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (atan.f64 N))) (+.f64 (.f64 (atan.f64 N) -2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))))
(+.f64 (.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (atan.f64 N)) (*.f64 (atan.f64 N) -2)))
(+.f64 (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))) (.f64 (atan.f64 N) -4))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 4))
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(+.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 N 1)) -6)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) -5)))
(+.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N 1)) -3))
(+.f64 (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (.f64 (atan.f64 (+.f64 N 1)) 4))
(+.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (atan.f64 N))) (.f64 (atan.f64 (+.f64 N 1)) -3))
(+.f64 (*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -2) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(+.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2)) (.f64 2 (atan.f64 N)))
(+.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (atan.f64 N)) (.f64 (atan.f64 N) -2)) (*.f64 2 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))
(+.f64 (.f64 (atan.f64 N) -3) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N))))
(+.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) -2) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (atan.f64 N)))
(+.f64 (.f64 (atan.f64 N) -4) (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 2 (atan.f64 N)))))
(+.f64 (+.f64 (.f64 (atan.f64 N) -2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (atan.f64 N))) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (atan.f64 N))))
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(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -3))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 7))
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Outputs
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(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (.f64 (atan.f64 (+.f64 N 1)) 6))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) (neg.f64 (atan.f64 (+.f64 N 1))))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -3))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 4)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (.f64 (atan.f64 (+.f64 N 1)) 9))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -4) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) -6)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -9) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 9) (.f64 (atan.f64 (+.f64 N 1)) -6))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 6)) (*.f64 (atan.f64 (+.f64 N 1)) -9))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 7)) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -4) (.f64 (atan.f64 (+.f64 N 1)) 7)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -4) (.f64 (atan.f64 (+.f64 N 1)) 7)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 7)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) -6)) (.f64 (atan.f64 (+.f64 N 1)) -4))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 4)) (.f64 (atan.f64 (+.f64 N 1)) 6))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) -2))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) 0)
(*.f64 3 (atan.f64 (+.f64 N 1)))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (atan.f64 (+.f64 N 1))))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(-.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) -3))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 (+.f64 N 1)) -5))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (.f64 (atan.f64 (+.f64 N 1)) -6))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 4) (atan.f64 (+.f64 N 1)))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) 3))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (.f64 (atan.f64 (+.f64 N 1)) -9))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -4) (.f64 (atan.f64 (+.f64 N 1)) -7))
(*.f64 3 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) 1)
(*.f64 3 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3) -1)
(*.f64 3 (atan.f64 (+.f64 N 1)))
(pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) 3) 1)
(*.f64 3 (atan.f64 (+.f64 N 1)))
(neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -3))
(*.f64 3 (atan.f64 (+.f64 N 1)))

eval222.0ms (1.8%)

Compiler: Compiled 12569 to 9069 computations (27.8% saved)

prune97.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	564	2	566
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	564	5	569

Error

13.4b

Counts

569 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.7b	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 N))
▶	32.2b	(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) -5))) (atan.f64 N))
▶	32.2b	(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 7))) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6))) (atan.f64 N))
✓	13.7b	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))
✓	13.7b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 96 to 80 computations (16.7% saved)

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (atan.f64 (+.f64 N 1)) 7)
✓	0.9b	(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 7)))
✓	3.1b	(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 7))) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6)))
✓	30.7b	(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 7))) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6))) (atan.f64 N))

Compiler

Compiled 116 to 97 computations (16.4% saved)

series47.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
44.0ms	N	@	inf	(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 7))) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6))) (atan.f64 N))
1.0ms	N	@	0	(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 7))) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6))) (atan.f64 N))
1.0ms	N	@	-inf	(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 7))) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6))) (atan.f64 N))
0.0ms	N	@	0	(*.f64 (atan.f64 (+.f64 N 1)) 7)
0.0ms	N	@	-inf	(*.f64 (atan.f64 (+.f64 N 1)) 7)

rewrite220.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1378×	`rational_best-simplify-1`
1146×	`rational_best-2`
1146×	`rational_best-3`
1146×	`rational_best-1`
1140×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	188
1	134	122
2	193	66
3	249	66
4	294	66
5	384	66
6	600	66
7	1052	66
8	2231	66
9	3620	66
10	3830	66
11	3853	66
12	3953	66
13	4245	66
14	5070	66
15	6251	66
16	7602	66

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 7))) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6))) (atan.f64 N))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 7))) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 7)))
(*.f64 (atan.f64 (+.f64 N 1)) 7)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (neg.f64 (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 7) (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (-.f64 (neg.f64 (atan.f64 N)) 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 2 (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (+.f64 (neg.f64 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12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (neg.f64 (atan.f64 N))) (.f64 (atan.f64 (+.f64 N 1)) -11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -14)) (.f64 (atan.f64 (+.f64 N 1)) 15))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -7) (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 7) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -15)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -28) (+.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (neg.f64 (atan.f64 N))) (.f64 (atan.f64 (+.f64 N 1)) 17)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -28) (neg.f64 (+.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -12)) (.f64 (atan.f64 (+.f64 N 1)) -17))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 17) (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (neg.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (neg.f64 (atan.f64 N))) (.f64 (atan.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 15)) (.f64 (atan.f64 (+.f64 N 1)) -14))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (neg.f64 (+.f64 (.f64 (atan.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) -14))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (.f64 (atan.f64 (+.f64 N 1)) -28)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (.f64 (atan.f64 (+.f64 N 1)) 17))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) -28)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -17))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -28)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (.f64 (atan.f64 (+.f64 N 1)) 28))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (.f64 (atan.f64 (+.f64 N 1)) 17)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (.f64 (atan.f64 (+.f64 N 1)) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -7) (.f64 (atan.f64 (+.f64 N 1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -28) (.f64 (atan.f64 (+.f64 N 1)) 17))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 17) (.f64 (atan.f64 (+.f64 N 1)) -28))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -17) (.f64 (atan.f64 (+.f64 N 1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -4) (.f64 (atan.f64 (+.f64 N 1)) -7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) -28)) (.f64 (atan.f64 (+.f64 N 1)) 14))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (.f64 (atan.f64 (+.f64 N 1)) -28)) (.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -28)) (.f64 (atan.f64 (+.f64 N 1)) 11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (.f64 (atan.f64 (+.f64 N 1)) 17)) (.f64 (atan.f64 (+.f64 N 1)) -14))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (.f64 (atan.f64 (+.f64 N 1)) -6))) (.f64 (atan.f64 (+.f64 N 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (.f64 (atan.f64 (+.f64 N 1)) 28))) (.f64 (atan.f64 (+.f64 N 1)) 11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (.f64 (atan.f64 (+.f64 N 1)) 17))) (.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (atan.f64 (+.f64 N 1)) -11))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan.f64 (+.f64 N 1)) -11)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (+.f64 N 1)) -11) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (atan.f64 (+.f64 N 1)) 11))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (+.f64 N 1)) 11) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -11 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 11 (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (atan.f64 (+.f64 N 1))) 11)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (atan.f64 (+.f64 N 1)) 11))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 7) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan.f64 (+.f64 N 1)) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) 7) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 7) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) -7) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan.f64 (+.f64 N 1)) 7) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (atan.f64 (+.f64 N 1)) -7))))))

simplify748.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1790×	`rational_best-simplify-42`
1624×	`rational_best-simplify-53`
1332×	`rational_best-simplify-1`
1196×	`rational_best-simplify-2`
996×	`rational_best-simplify-54`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	318	11353
1	590	7559
2	1191	6839
3	2104	6839
4	2954	6831
5	3408	4031
6	3928	4031
7	4706	4031
8	5323	4031
9	5594	4031
10	5890	4031
11	5890	4031
12	7175	4031
13	7258	4031
14	7363	4031
15	7427	4031
16	7479	4031
17	7515	4031

Stop Event

1×	node limit

Counts

201 → 180

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 12 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 12 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 12 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 12 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 12 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 12 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 12 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 12 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 14 (atan.f64 (+.f64 N 1)))))
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(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -4) (.f64 (atan.f64 (+.f64 N 1)) -7))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(+.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) -28)) (*.f64 (atan.f64 (+.f64 N 1)) 14))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(+.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (.f64 (atan.f64 (+.f64 N 1)) -28)) (*.f64 (atan.f64 (+.f64 N 1)) 3))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(+.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -28)) (*.f64 (atan.f64 (+.f64 N 1)) 11))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(+.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (.f64 (atan.f64 (+.f64 N 1)) 17)) (*.f64 (atan.f64 (+.f64 N 1)) -14))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(+.f64 (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (.f64 (atan.f64 (+.f64 N 1)) -6))) (*.f64 (atan.f64 (+.f64 N 1)) -3))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(+.f64 (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (.f64 (atan.f64 (+.f64 N 1)) 28))) (*.f64 (atan.f64 (+.f64 N 1)) 11))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(+.f64 (neg.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (.f64 (atan.f64 (+.f64 N 1)) 17))) (*.f64 (atan.f64 (+.f64 N 1)) 3))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(.f64 1 (.f64 (atan.f64 (+.f64 N 1)) -11))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) 1)
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(.f64 -1 (.f64 (atan.f64 (+.f64 N 1)) 11))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) -1)
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(*.f64 11 (neg.f64 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(*.f64 (neg.f64 (atan.f64 (+.f64 N 1))) 11)
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) -11) 1)
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 11) -1)
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) -11) 1)
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) 11))
(-.f64 (.f64 3 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 7) 0)
(*.f64 (atan.f64 (+.f64 N 1)) 7)
(+.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) 7))
(*.f64 (atan.f64 (+.f64 N 1)) 7)
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 7) 0)
(*.f64 (atan.f64 (+.f64 N 1)) 7)
(-.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) -7))
(*.f64 (atan.f64 (+.f64 N 1)) 7)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 7) 1)
(*.f64 (atan.f64 (+.f64 N 1)) 7)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) -7) -1)
(*.f64 (atan.f64 (+.f64 N 1)) 7)
(pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) 7) 1)
(*.f64 (atan.f64 (+.f64 N 1)) 7)
(neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -7))
(*.f64 (atan.f64 (+.f64 N 1)) 7)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (atan.f64 (+.f64 N 1)) -5)
✓	0.9b	(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5))
✓	3.1b	(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) -5)))
✓	30.7b	(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) -5))) (atan.f64 N))

Compiler

Compiled 95 to 78 computations (17.9% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) -5))) (atan.f64 N))
1.0ms	N	@	0	(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) -5))) (atan.f64 N))
1.0ms	N	@	inf	(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) -5))) (atan.f64 N))
0.0ms	N	@	inf	(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) -5)))
0.0ms	N	@	-inf	(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) -5)))

rewrite395.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`rational_best-simplify-1`
1182×	`rational_best-simplify-2`
1136×	`rational_best-2`
1136×	`rational_best-3`
1136×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	122
1	114	66
2	170	66
3	211	66
4	254	66
5	334	66
6	505	66
7	891	66
8	2047	66
9	3481	66
10	3725	66
11	4050	66
12	4590	66
13	5897	66
14	7215	66

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) -5))) (atan.f64 N))
(+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) -5)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5))
(*.f64 (atan.f64 (+.f64 N 1)) -5)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) (+.f64 (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -4)) (.f64 (atan.f64 (+.f64 N 1)) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -10) (neg.f64 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -10) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -9) (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 7) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (atan.f64 N))) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 4)) (.f64 (atan.f64 (+.f64 N 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 12)) (.f64 (atan.f64 (+.f64 N 1)) -11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -10) (neg.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) (.f64 (atan.f64 (+.f64 N 1)) 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -10) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (.f64 (atan.f64 (+.f64 N 1)) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan.f64 (+.f64 N 1)) 11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) 22))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 (+.f64 N 1)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 5) (.f64 (atan.f64 (+.f64 N 1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -4) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 5) (.f64 (atan.f64 (+.f64 N 1)) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 10) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) 7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 9) (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -3) (.f64 (atan.f64 (+.f64 N 1)) 14))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -9) (.f64 (atan.f64 (+.f64 N 1)) 20))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 7) (.f64 (atan.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 5) (.f64 (atan.f64 (+.f64 N 1)) 10)) (.f64 (atan.f64 (+.f64 N 1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 20) (.f64 (atan.f64 (+.f64 N 1)) -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 20) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (.f64 (atan.f64 (+.f64 N 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 16) (.f64 (atan.f64 (+.f64 N 1)) -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (.f64 (atan.f64 (+.f64 N 1)) 10)) (.f64 (atan.f64 (+.f64 N 1)) -10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 22) (.f64 (atan.f64 (+.f64 N 1)) -11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 24) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 12)) (.f64 (atan.f64 (+.f64 N 1)) 24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 10)) (.f64 (atan.f64 (+.f64 N 1)) 20))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (atan.f64 (+.f64 N 1)) 11))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan.f64 (+.f64 N 1)) 11)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (+.f64 N 1)) 11) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 11 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (atan.f64 (+.f64 N 1)) -11))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (+.f64 N 1)) -11) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -11 (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (atan.f64 (+.f64 N 1))) -11)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (atan.f64 (+.f64 N 1)) -11))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -10) (.f64 (atan.f64 (+.f64 N 1)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 (+.f64 N 1)) -7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 5) (.f64 (atan.f64 (+.f64 N 1)) -10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -4) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (.f64 (atan.f64 (+.f64 N 1)) 7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 10) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) (.f64 (atan.f64 (+.f64 N 1)) -10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (/.f64 (.f64 (atan.f64 (+.f64 N 1)) 17) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 7) (.f64 (atan.f64 (+.f64 N 1)) -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) (.f64 (atan.f64 (+.f64 N 1)) -10)) (.f64 (atan.f64 (+.f64 N 1)) 10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -7) (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -8) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -22) (.f64 (atan.f64 (+.f64 N 1)) 17))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 17) (.f64 (atan.f64 (+.f64 N 1)) -22))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) -4)) (.f64 (atan.f64 (+.f64 N 1)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (atan.f64 (+.f64 N 1)) 17) -1) (.f64 (atan.f64 (+.f64 N 1)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) 11))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (atan.f64 (+.f64 N 1)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -6) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 5) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan.f64 (+.f64 N 1)) -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) 5))))))

simplify557.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

2332×	`rational_best-simplify-1`
1630×	`rational_best-simplify-55`
1472×	`rational_best-simplify-42`
936×	`rational_best-simplify-2`
932×	`rational_best-simplify-8`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	300	11084
1	461	7366
2	1221	4050
3	2819	4050
4	4099	4034
5	5700	4034
6	6127	4034
7	6341	4034
8	6432	4034
9	6432	4034
10	7835	4034

Stop Event

1×	node limit

Counts

216 → 188

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 6 (atan.f64 (+.f64 N 1))) (.f64 -10 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 -5 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 6 (atan.f64 (+.f64 N 1))) (.f64 -10 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 -5 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 6 (atan.f64 (+.f64 N 1))) (.f64 -10 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 -5 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 6 (atan.f64 (+.f64 N 1))) (.f64 -10 (atan.f64 (+.f64 N 1)))) (+.f64 (atan.f64 N) (*.f64 -5 (atan.f64 (+.f64 N 1)))))
(-.f64 (+.f64 (.f64 6 (atan.f64 (+.f64 N 1))) (.f64 -10 (atan.f64 (+.f64 N 1)))) (+.f64 (*.f64 -5 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (+.f64 (.f64 6 (atan.f64 (+.f64 N 1))) (.f64 -10 (atan.f64 (+.f64 N 1)))) (+.f64 (*.f64 -5 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (+.f64 (.f64 6 (atan.f64 (+.f64 N 1))) (.f64 -10 (atan.f64 (+.f64 N 1)))) (+.f64 (*.f64 -5 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (+.f64 (.f64 6 (atan.f64 (+.f64 N 1))) (.f64 -10 (atan.f64 (+.f64 N 1)))) (+.f64 (*.f64 -5 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (+.f64 (.f64 6 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 -10 (atan.f64 (-.f64 1 (.f64 -1 N))))) (+.f64 (atan.f64 N) (.f64 -5 (atan.f64 (-.f64 1 (.f64 -1 N))))))
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(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -22) (.f64 (atan.f64 (+.f64 N 1)) 17))
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 17) (.f64 (atan.f64 (+.f64 N 1)) -22))
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(+.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) -4)) (.f64 (atan.f64 (+.f64 N 1)) -8))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -8) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) -4)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) -8))
(+.f64 (/.f64 (.f64 (atan.f64 (+.f64 N 1)) 17) -1) (.f64 (atan.f64 (+.f64 N 1)) 12))
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) 6))
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) 11))
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -5) 0)
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(-.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) 5))
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -6))
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) 4))
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -6) (neg.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) -5) 1)
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 5) -1)
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) -5) 1)
(*.f64 (atan.f64 (+.f64 N 1)) -5)
(neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) 5))
(*.f64 (atan.f64 (+.f64 N 1)) -5)

eval375.0ms (3%)

Compiler: Compiled 8799 to 6775 computations (23% saved)

prune425.0ms (3.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	403	2	405
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	405	5	410

Error

13.4b

Counts

410 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14)) (atan.f64 N))
✓	13.7b	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 N))
▶	32.2b	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12)) (atan.f64 N))
✓	13.7b	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))
✓	13.7b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 76 to 62 computations (18.4% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (atan.f64 (+.f64 N 1)) -12)
✓	0.9b	(*.f64 (atan.f64 (+.f64 N 1)) -11)
✓	3.1b	(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12))
✓	30.7b	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12)) (atan.f64 N))

Compiler

Compiled 55 to 43 computations (21.8% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12)) (atan.f64 N))
0.0ms	N	@	0	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12)) (atan.f64 N))
0.0ms	N	@	-inf	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12)) (atan.f64 N))
0.0ms	N	@	-inf	(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12))
0.0ms	N	@	inf	(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12))

rewrite334.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational_best-2`
1252×	`rational_best-3`
1252×	`rational_best-1`
1246×	`rational_best-4`
1246×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	90	66
2	126	66
3	165	66
4	235	66
5	358	66
6	723	66
7	1666	66
8	3623	66
9	4706	66
10	5215	66
11	5716	66
12	6404	66
13	7341	66

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

Inputs
(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12)) (atan.f64 N))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12))
(*.f64 (atan.f64 (+.f64 N 1)) -11)
(*.f64 (atan.f64 (+.f64 N 1)) -12)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (+.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 13)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) 2) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 23)) (+.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 N 1)) -22)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 13))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 12)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -22) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 23) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 24) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (neg.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -24))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -10) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -10) (+.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 13) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2)) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 N) -2)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) (.f64 (atan.f64 N) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 N) -2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 N) 2) (.f64 (atan.f64 (+.f64 N 1)) 12)) (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (atan.f64 N)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (.f64 (atan.f64 N) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (atan.f64 N)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 23) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -22))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 N 1)) -22)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 23)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 12)) (.f64 (atan.f64 (+.f64 N 1)) -10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 13)) (.f64 (atan.f64 (+.f64 N 1)) -11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -24))) (.f64 (atan.f64 (+.f64 N 1)) -23))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2)) (.f64 (atan.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (atan.f64 N)) (.f64 (atan.f64 N) -2)) (+.f64 (.f64 (atan.f64 N) 2) (.f64 (atan.f64 (+.f64 N 1)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) -3) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (.f64 (atan.f64 N) -2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) -4) (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 N) -2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (atan.f64 N))) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 2)) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 (atan.f64 (+.f64 N 1)) 11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (neg.f64 (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 11)) (.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 23)) (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 N 1)) -24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 12)) (.f64 (atan.f64 (+.f64 N 1)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -22)) (.f64 (atan.f64 (+.f64 N 1)) 23))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 N 1)) -24)) (-.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 23)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 N))) 2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (+.f64 (atan.f64 (+.f64 N 1)) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (.f64 (atan.f64 (+.f64 N 1)) 13))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) 2) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (.f64 (atan.f64 (+.f64 N 1)) -23))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -24) (.f64 (atan.f64 (+.f64 N 1)) 13))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -13) (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 (+.f64 N 1)) -13))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -22) (.f64 (atan.f64 (+.f64 N 1)) 11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 24) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (.f64 (atan.f64 (+.f64 N 1)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 12)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (atan.f64 N)))) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 11))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (atan.f64 N)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (atan.f64 (+.f64 N 1)) 11))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (.f64 (atan.f64 (+.f64 N 1)) 23))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (atan.f64 (+.f64 N 1)) 11))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) -13))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) -11))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 (+.f64 N 1)) -10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (.f64 (atan.f64 (+.f64 N 1)) -23))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -24) (.f64 (atan.f64 (+.f64 N 1)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -13) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -22) (.f64 (atan.f64 (+.f64 N 1)) 10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 22) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (.f64 (atan.f64 (+.f64 N 1)) 11)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 N)))) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 11)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 11)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 N)))) (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (atan.f64 (+.f64 N 1)) -13) 2) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) -13)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (atan.f64 (+.f64 N 1)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 11))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (.f64 (atan.f64 (+.f64 N 1)) 23))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (atan.f64 (+.f64 N 1)) 12))))))

simplify816.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

2408×	`rational_best-simplify-42`
1594×	`rational_best-simplify-54`
1548×	`rational_best-simplify-1`
1090×	`rational_best-simplify-2`
732×	`rational_best-simplify-49`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	294	7174
1	525	5662
2	1293	5662
3	2476	5662
4	4119	5662
5	5180	3562
6	5772	3562
7	5898	3562
8	5998	3562
9	6135	3562
10	6666	3562
11	6910	3562
12	7328	3562
13	7522	3562
14	7614	3562
15	7680	3562
16	7700	3562
17	7791	3562
18	7791	3562

Stop Event

1×	node limit

Counts

202 → 172

Calls

Call 1

Inputs
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (+.f64 (.f64 -12 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (+.f64 (.f64 -12 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (+.f64 (.f64 -12 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (+.f64 (.f64 -12 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (+.f64 (.f64 -12 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (+.f64 (.f64 -12 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (+.f64 (.f64 -12 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (+.f64 (.f64 -12 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N)))) (+.f64 (.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N)))) (+.f64 (.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N)))) (+.f64 (.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N)))) (+.f64 (.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N)))) (atan.f64 N)))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (.f64 -12 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (.f64 -12 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (.f64 -12 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (.f64 -12 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (.f64 -12 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (.f64 -12 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (.f64 -12 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (.f64 -12 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(-.f64 (.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(-.f64 (.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(-.f64 (.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N)))) (.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N)))))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N))))
(.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N))))
(.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N))))
(.f64 -11 (atan.f64 (-.f64 1 (.f64 -1 N))))
(*.f64 -12 (atan.f64 (+.f64 N 1)))
(*.f64 -12 (atan.f64 (+.f64 N 1)))
(*.f64 -12 (atan.f64 (+.f64 N 1)))
(*.f64 -12 (atan.f64 (+.f64 N 1)))
(*.f64 -12 (atan.f64 (+.f64 N 1)))
(*.f64 -12 (atan.f64 (+.f64 N 1)))
(*.f64 -12 (atan.f64 (+.f64 N 1)))
(*.f64 -12 (atan.f64 (+.f64 N 1)))
(.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N))))
(.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N))))
(.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N))))
(.f64 -12 (atan.f64 (-.f64 1 (.f64 -1 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (atan.f64 N)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (+.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 13)))
(+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 N) -2)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (+.f64 (neg.f64 (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1)) 2)))
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Outputs
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(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -12)))
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(atan.f64 (+.f64 N 1))
(-.f64 (.f64 -11 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) -12))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) -12))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -11) 0)
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 (+.f64 N 1)))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) -11))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (.f64 (atan.f64 (+.f64 N 1)) -23))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -24) (.f64 (atan.f64 (+.f64 N 1)) 13))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -13) (.f64 (atan.f64 (+.f64 N 1)) 2))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 (+.f64 N 1)) -13))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -22) (.f64 (atan.f64 (+.f64 N 1)) 11))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 24) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (*.f64 (atan.f64 (+.f64 N 1)) 12)))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 12)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 12)))))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (atan.f64 N)))) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 11))))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (atan.f64 N)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (atan.f64 N)))))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) 12))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -11) 0)
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -12) (neg.f64 (atan.f64 (+.f64 N 1))))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(-.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) 11))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 12) (.f64 (atan.f64 (+.f64 N 1)) 23))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) -11) 1)
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 11) -1)
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) -11) 1)
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) 11))
(*.f64 -11 (atan.f64 (+.f64 N 1)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) -13))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -11) (neg.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -12) 0)
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) -12))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) -11))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 (+.f64 N 1)) -10))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (.f64 (atan.f64 (+.f64 N 1)) -23))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -24) (.f64 (atan.f64 (+.f64 N 1)) 12))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) -13) (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -22) (.f64 (atan.f64 (+.f64 N 1)) 10))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 22) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (*.f64 (atan.f64 (+.f64 N 1)) 11)))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 N)))) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) 12))))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 11)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -23) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 11)))))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -12) (atan.f64 N)))) (+.f64 (atan.f64 N) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 12) (atan.f64 N))))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(+.f64 (.f64 (.f64 (atan.f64 (+.f64 N 1)) -13) 2) (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) -13)))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -11) (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -12) 0)
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(-.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) 12))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) 11))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 11) (.f64 (atan.f64 (+.f64 N 1)) 23))
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) -12) 1)
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 12) -1)
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) -12) 1)
(*.f64 (atan.f64 (+.f64 N 1)) -12)
(neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) 12))
(*.f64 (atan.f64 (+.f64 N 1)) -12)

localize66.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (atan.f64 (+.f64 N 1)) 14)
✓	0.9b	(*.f64 (atan.f64 (+.f64 N 1)) 15)
✓	3.1b	(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14))
✓	30.7b	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14)) (atan.f64 N))

Compiler

Compiled 55 to 43 computations (21.8% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14)) (atan.f64 N))
0.0ms	N	@	-inf	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14)) (atan.f64 N))
0.0ms	N	@	inf	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14)) (atan.f64 N))
0.0ms	N	@	-inf	(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14))
0.0ms	N	@	0	(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14))

rewrite201.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational_best-2`
1252×	`rational_best-3`
1252×	`rational_best-1`
1246×	`rational_best-4`
1246×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	90	66
2	126	66
3	165	66
4	235	66
5	358	66
6	723	66
7	1666	66
8	3623	66
9	4706	66
10	5215	66
11	5716	66
12	6404	66
13	7341	66

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

Inputs
(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14)) (atan.f64 N))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) 15)
(*.f64 (atan.f64 (+.f64 N 1)) 14)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (+.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -13)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) (.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (+.f64 (neg.f64 (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) 2) (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -14))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -15) (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -29)) (+.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 N 1)) 30)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 N) -2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -13))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 15))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -14)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 30) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -29) (atan.f64 N)))))) (#(struct:change 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#<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 N) -2)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -14)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2)) (.f64 (atan.f64 N) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 N) 2)) (+.f64 (.f64 (atan.f64 N) -2) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 N) 2) (.f64 (atan.f64 (+.f64 N 1)) -14)) (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (atan.f64 N)) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 N) 2))) (.f64 (atan.f64 N) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (atan.f64 N)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (.f64 (atan.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -29) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) 30))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 N 1)) 30)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -14)) (.f64 (atan.f64 (+.f64 N 1)) 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (atan.f64 N)) (.f64 (atan.f64 (+.f64 N 1)) -13)) (.f64 (atan.f64 (+.f64 N 1)) 15))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) 28))) (.f64 (atan.f64 (+.f64 N 1)) 29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (.f64 (atan.f64 N) -2)) (.f64 (atan.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 14))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan.f64 (+.f64 N 1)) 15))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (.f64 (atan.f64 (+.f64 N 1)) 29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 28) (.f64 (atan.f64 (+.f64 N 1)) -13))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 13) (.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 (+.f64 N 1)) 13))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 30) (.f64 (atan.f64 (+.f64 N 1)) -15))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -28) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (.f64 (atan.f64 (+.f64 N 1)) -14)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -14)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -14)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (atan.f64 N)))) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -15))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (atan.f64 N)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) -14))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -15))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (.f64 (atan.f64 (+.f64 N 1)) -29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) -15) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (atan.f64 (+.f64 N 1)) -15))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 13))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan.f64 (+.f64 N 1)) 14))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 15))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 (+.f64 N 1)) 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -15) (.f64 (atan.f64 (+.f64 N 1)) 29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 28) (.f64 (atan.f64 (+.f64 N 1)) -14))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 13) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) 30) (.f64 (atan.f64 (+.f64 N 1)) -16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan.f64 (+.f64 N 1)) -30) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (.f64 (atan.f64 (+.f64 N 1)) -15)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (atan.f64 N)))) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -14))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -15)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -15)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (atan.f64 N)))) (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (atan.f64 (+.f64 N 1)) 13) 2) (-.f64 (atan.f64 (+.f64 N 1)) (.f64 (atan.f64 (+.f64 N 1)) 13)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (atan.f64 (+.f64 N 1)) -14))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) -15))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan.f64 (+.f64 N 1)) -15) (.f64 (atan.f64 (+.f64 N 1)) -29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (atan.f64 (+.f64 N 1)) -14))))))

simplify760.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

2410×	`rational_best-simplify-42`
1606×	`rational_best-simplify-54`
1548×	`rational_best-simplify-1`
1090×	`rational_best-simplify-2`
732×	`rational_best-simplify-49`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	294	7174
1	525	5662
2	1293	5662
3	2476	5662
4	4119	5662
5	5180	3562
6	5786	3562
7	5912	3562
8	5998	3562
9	6143	3562
10	6678	3562
11	6922	3562
12	7340	3562
13	7534	3562
14	7626	3562
15	7692	3562
16	7712	3562
17	7803	3562
18	7803	3562

Stop Event

1×	node limit

Counts

202 → 173

Calls

Call 1

Inputs
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (+.f64 (atan.f64 N) (.f64 14 (atan.f64 (+.f64 N 1)))))
(-.f64 (.f64 15 (atan.f64 (-.f64 1 (.f64 -1 N)))) (+.f64 (atan.f64 N) (.f64 14 (atan.f64 (-.f64 1 (.f64 -1 N))))))
(-.f64 (.f64 15 (atan.f64 (-.f64 1 (.f64 -1 N)))) (+.f64 (atan.f64 N) (.f64 14 (atan.f64 (-.f64 1 (.f64 -1 N))))))
(-.f64 (.f64 15 (atan.f64 (-.f64 1 (.f64 -1 N)))) (+.f64 (atan.f64 N) (.f64 14 (atan.f64 (-.f64 1 (.f64 -1 N))))))
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(atan.f64 (+.f64 N 1))
(+.f64 (+.f64 (atan.f64 N) (+.f64 (.f64 (atan.f64 N) -2) (.f64 (atan.f64 (+.f64 N 1)) 30))) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) -29)))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(+.f64 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (atan.f64 N))) (.f64 (atan.f64 (+.f64 N 1)) -28))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(+.f64 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (atan.f64 N))) (.f64 (atan.f64 (+.f64 N 1)) 15))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 60) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -29) (*.f64 (atan.f64 (+.f64 N 1)) 30)))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -56) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (*.f64 (atan.f64 (+.f64 N 1)) -28)))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(*.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(*.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1)
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(/.f64 (atan.f64 (+.f64 N 1)) 1)
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(/.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1)
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(neg.f64 (neg.f64 (atan.f64 (+.f64 N 1))))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(-.f64 (.f64 15 (atan.f64 (+.f64 N 1))) (.f64 (atan.f64 (+.f64 N 1)) 14))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 15) 0)
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 14) (atan.f64 (+.f64 N 1)))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) 15))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (.f64 (atan.f64 (+.f64 N 1)) 29))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 28) (.f64 (atan.f64 (+.f64 N 1)) -13))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 13) (.f64 (atan.f64 (+.f64 N 1)) 2))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 (+.f64 N 1)) 13))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 30) (.f64 (atan.f64 (+.f64 N 1)) -15))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -28) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (*.f64 (atan.f64 (+.f64 N 1)) -14)))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -14)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -14)))))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (atan.f64 N)))) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) -15))))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (atan.f64 N)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (atan.f64 N)))))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) -14))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 15) 0)
(*.f64 15 (atan.f64 (+.f64 N 1)))
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 14) (neg.f64 (atan.f64 (+.f64 N 1))))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(-.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) -15))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -14) (.f64 (atan.f64 (+.f64 N 1)) -29))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 15) 1)
(*.f64 15 (atan.f64 (+.f64 N 1)))
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) -15) -1)
(*.f64 15 (atan.f64 (+.f64 N 1)))
(pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) 15) 1)
(*.f64 15 (atan.f64 (+.f64 N 1)))
(neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -15))
(*.f64 15 (atan.f64 (+.f64 N 1)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) 13))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 15) (neg.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 14) 0)
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) 14))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) 15))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -2) (.f64 (atan.f64 (+.f64 N 1)) 16))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -15) (.f64 (atan.f64 (+.f64 N 1)) 29))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 28) (.f64 (atan.f64 (+.f64 N 1)) -14))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (*.f64 (atan.f64 (+.f64 N 1)) 13) (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) 30) (.f64 (atan.f64 (+.f64 N 1)) -16))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (.f64 (atan.f64 (+.f64 N 1)) -30) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (*.f64 (atan.f64 (+.f64 N 1)) -15)))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (.f64 2 (+.f64 (atan.f64 N) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (atan.f64 N)))) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (*.f64 (atan.f64 (+.f64 N 1)) -14))))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -15)))) (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 29) (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 N) (.f64 (atan.f64 (+.f64 N 1)) -15)))))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (.f64 2 (+.f64 (neg.f64 (atan.f64 N)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 14) (atan.f64 N)))) (+.f64 (atan.f64 N) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) -14) (atan.f64 N))))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(+.f64 (.f64 (.f64 (atan.f64 (+.f64 N 1)) 13) 2) (-.f64 (atan.f64 (+.f64 N 1)) (*.f64 (atan.f64 (+.f64 N 1)) 13)))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 15) (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(-.f64 (*.f64 (atan.f64 (+.f64 N 1)) 14) 0)
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(-.f64 0 (*.f64 (atan.f64 (+.f64 N 1)) -14))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(-.f64 (neg.f64 (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 (+.f64 N 1)) -15))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(-.f64 (.f64 (atan.f64 (+.f64 N 1)) -15) (.f64 (atan.f64 (+.f64 N 1)) -29))
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) 14) 1)
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(/.f64 (*.f64 (atan.f64 (+.f64 N 1)) -14) -1)
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) 14) 1)
(*.f64 (atan.f64 (+.f64 N 1)) 14)
(neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) -14))
(*.f64 (atan.f64 (+.f64 N 1)) 14)

eval213.0ms (1.7%)

Compiler: Compiled 6504 to 4622 computations (28.9% saved)

prune87.0ms (0.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	345	0	345
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	345	5	350

Error

13.4b

Counts

350 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.2b	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14)) (atan.f64 N))
✓	13.7b	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 N))
✓	32.2b	(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12)) (atan.f64 N))
✓	13.7b	(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))
✓	13.7b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 76 to 62 computations (18.4% saved)

regimes50.0ms (0.4%)

Accuracy

Total -18.8b remaining (-137.8%)

Threshold costs -18.8b (-137.8%)

Counts

7 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 (.f64 (atan.f64 (+.f64 N 1)) 4) (.f64 (atan.f64 (+.f64 N 1)) -3)) (atan.f64 N))
(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) -11) (.f64 (atan.f64 (+.f64 N 1)) -12)) (atan.f64 N))
(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 N))
(-.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 15) (.f64 (atan.f64 (+.f64 N 1)) 14)) (atan.f64 N))
(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 6) (.f64 (atan.f64 (+.f64 N 1)) -5)) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) -5))) (atan.f64 N))
(-.f64 (+.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) 3) (.f64 2 (.f64 (atan.f64 (+.f64 N 1)) 7))) (.f64 2 (*.f64 (atan.f64 (+.f64 N 1)) 6))) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Calls

2 calls:

5.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
13.7b	1	`N`
13.7b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 134 to 103 computations (23.1% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

soundness0.0ms (0%)

end13.0ms (0.1%)

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

Details

analyze0.0ms (0%)

sample4.0s (32.3%)

preprocess14.0ms (0.1%)

simplify10.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite361.0ms (2.9%)

simplify265.0ms (2.1%)

eval34.0ms (0.3%)

prune457.0ms (3.7%)

localize24.0ms (0.2%)

series2.0ms (0%)

rewrite228.0ms (1.8%)

simplify350.0ms (2.8%)

localize23.0ms (0.2%)

series5.0ms (0%)

rewrite226.0ms (1.8%)

simplify725.0ms (5.8%)

eval222.0ms (1.8%)

prune97.0ms (0.8%)

localize47.0ms (0.4%)

series47.0ms (0.4%)

rewrite220.0ms (1.8%)

simplify748.0ms (6%)

localize38.0ms (0.3%)

series3.0ms (0%)

rewrite395.0ms (3.2%)

simplify557.0ms (4.4%)

eval375.0ms (3%)

prune425.0ms (3.4%)

localize24.0ms (0.2%)

series3.0ms (0%)

rewrite334.0ms (2.7%)

simplify816.0ms (6.5%)

localize66.0ms (0.5%)

series2.0ms (0%)

rewrite201.0ms (1.6%)

simplify760.0ms (6.1%)

eval213.0ms (1.7%)

prune87.0ms (0.7%)

regimes50.0ms (0.4%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end13.0ms (0.1%)

Profiling