Details

sample40.0ms

Algorithm

intervals

Results

17.0ms	81×	body	1280	valid
7.0ms	138×	body	80	valid
4.0ms	22×	body	640	valid
1.0ms	11×	body	320	valid
0.0ms	4×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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: 13.2b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(atan (+ N 1.0))
1.4b	(- (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))

simplify56.0ms

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 2 expressions with local error:

0.0b	(fma N (+ N 1.0) 1)
0.4b	(atan2 1.0 (fma N (+ N 1.0) 1))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

2 → 1

Calls

2 calls:

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

series21.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(fma N (+ N 1.0) 1)
2.0ms	(atan2 1.0 (fma N (+ N 1.0) 1))

simplify152.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	17
1	46	17
2	114	17
3	239	17
4	667	17
5	3314	17
6	5001	17

prune2.0ms

Filtered

7 candidates to 1 candidates (14.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	7	2	9

Merged error: 0.3b

Counts

9 → 2

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample937.0ms

Algorithm

intervals

Results

596.0ms	2874×	body	1280	valid
124.0ms	4015×	body	80	valid
69.0ms	607×	body	640	valid
29.0ms	324×	body	320	valid
12.0ms	180×	body	160	valid