Details

sample303.0ms

Algorithm

intervals

Results

200.0ms	146×	body	1280	valid
50.0ms	56×	body	640	valid
22.0ms	27×	body	320	valid
3.0ms	22×	body	80	valid
2.0ms	6×	body	160	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	56	38
1	98	38
2	182	38
3	309	38
4	609	38
5	2169	38
6	5001	38

prune11.0ms

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: 23.0b

Counts

2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- phi1 phi2) 2.0))
3.5b	(sin (/ (- phi1 phi2) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))

series141.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- phi1 phi2) 2.0))
34.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	102	248
1	170	216
2	356	216
3	692	216
4	2118	216
5	5001	216

prune365.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	32	12	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	12	45

Merged error: 21.9b

Counts

45 → 12

localize50.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- phi1 phi2) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	102	248
1	170	216
2	356	216
3	692	216
4	2118	216
5	5001	216

prune522.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	38	6	44
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	40	16	56

Merged error: 12.6b

Counts

56 → 16

localize43.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify196.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216

prune488.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	42	18	60

Merged error: 12.6b

Counts

60 → 18

localize51.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
8.2b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series141.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (79.0ms)

Iter	Nodes	Cost
0	106	313
1	282	309
2	784	309
3	3070	309
4	5002	282

prune418.0ms

Filtered

57 candidates to 44 candidates (77.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	58	17	75

Merged error: 12.6b

Counts

75 → 17

regimes1.4s

Accuracy

0% (0.4b remaining)

Error of 14.2b against oracle of 13.8b and baseline of 14.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	58
1	49	58

end0.0ms

sample9.3s

Algorithm

intervals

Results

6.7s	4836×	body	1280	valid
1.7s	1865×	body	640	valid
337.0ms	562×	body	320	valid
88.0ms	547×	body	80	valid
75.0ms	193×	body	160	valid