Details

sample26.0ms

Algorithm

intervals

Results

12.0ms	88×	body	1280	valid
4.0ms	134×	body	80	valid
2.0ms	20×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	6×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 14.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(atan (+ N 1.0))
1.5b	(- (atan (+ N 1.0)) (atan N))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `flip3--` `diff-atan` `flip--`

Counts

2 → 5

Calls

2 calls:

1.0ms	(atan (+ N 1.0))
2.0ms	(- (atan (+ N 1.0)) (atan N))

series12.0ms

Counts

2 → 6

Calls

2 calls:

1.0ms	(atan (+ N 1.0))
11.0ms	(- (atan (+ N 1.0)) (atan N))

simplify58.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	55	58
1	117	56
2	228	55
3	434	53
4	1626	53
5	5002	53

prune16.0ms

Filtered

11 candidates to 4 candidates (36.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	2	12

Merged error: 0.3b

Counts

12 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(atan2 1.0 (fma N (+ N 1.0) 1))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

Counts

1 → 0

Calls

1 calls:

1.0ms

(atan2 1.0 (fma N (+ N 1.0) 1))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(atan2 1.0 (fma N (+ N 1.0) 1))

simplify8.0ms

Algorithm

egg-herbie

Counts

3 → 3

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	20	9
2	39	9
3	49	9
4	49	9

prune0.0ms

Filtered

3 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	3	2	5

Merged error: 0.3b

Counts

5 → 2

regimes24.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample713.0ms

Algorithm

intervals

Results

387.0ms	2883×	body	1280	valid
124.0ms	4068×	body	80	valid
65.0ms	609×	body	640	valid
25.0ms	300×	body	320	valid
9.0ms	140×	body	160	valid