Details

sample325.0ms

Algorithm

intervals

Results

232.0ms	158×	body	1280	valid
55.0ms	61×	body	640	valid
6.0ms	10×	body	320	valid
4.0ms	21×	body	80	valid
2.0ms	6×	body	160	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

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: 25.6b

Counts

2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
4.1b	(sin (/ (- phi1 phi2) 2.0))
4.1b	(sin (/ (- phi1 phi2) 2.0))

rewrite23.0ms

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))
6.0ms	(sin (/ (- phi1 phi2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

series152.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- phi1 phi2) 2.0))
40.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify79.0ms

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

prune385.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	33	11	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	11	45

Merged error: 23.9b

Counts

45 → 11

localize50.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
4.1b	(sin (/ (- phi1 phi2) 2.0))

rewrite25.0ms

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:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(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))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify79.0ms

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

prune535.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	39	16	55

Merged error: 11.6b

Counts

55 → 16

localize48.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite21.0ms

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 (/ (- lambda1 lambda2) 2.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify193.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

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

prune508.0ms

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: 11.5b

Counts

60 → 18

localize54.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
5.3b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite23.0ms

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))

series153.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (80.0ms)

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

prune420.0ms

Filtered

57 candidates to 44 candidates (77.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	55	20	75

Merged error: 11.5b

Counts

75 → 20

regimes1.7s

Accuracy

0% (0.4b remaining)

Error of 13.3b against oracle of 12.9b and baseline of 13.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	58
1	51	58

end0.0ms

sample9.6s

Algorithm

intervals

Results

6.8s	4724×	body	1280	valid
1.8s	1921×	body	640	valid
371.0ms	559×	body	320	valid
103.0ms	578×	body	80	valid
89.0ms	221×	body	160	valid

Details

sample325.0ms

simplify77.0ms

prune6.0ms

localize34.0ms

rewrite23.0ms

series152.0ms

simplify79.0ms

prune385.0ms

localize50.0ms

rewrite25.0ms

series147.0ms

simplify79.0ms

prune535.0ms

localize48.0ms

rewrite21.0ms

series153.0ms

simplify193.0ms

prune508.0ms

localize54.0ms

rewrite23.0ms

series153.0ms

simplify85.0ms

prune420.0ms

regimes1.7s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample9.6s

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