Details

sample319.0ms

Algorithm

intervals

Results

205.0ms	152×	body	1280	valid
56.0ms	54×	body	640	valid
18.0ms	31×	body	320	valid
2.0ms	15×	body	80	valid
2.0ms	4×	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

prune9.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 26.2b

Counts

2 → 1

localize44.0ms

Local error

Found 4 expressions with local error:

4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 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 (/ (- lambda1 lambda2) 2.0))

series183.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify198.0ms

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

prune456.0ms

Filtered

44 candidates to 40 candidates (9.1%)

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: 25.8b

Counts

45 → 12

localize47.0ms

Local error

Found 4 expressions with local error:

4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
6.8b	(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))

series182.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(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

prune666.0ms

Filtered

57 candidates to 43 candidates (24.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	54	15	69

Merged error: 25.8b

Counts

69 → 15

localize45.0ms

Local error

Found 4 expressions with local error:

4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(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))

series181.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify195.0ms

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

prune607.0ms

Filtered

44 candidates to 40 candidates (9.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	43	16	59

Merged error: 25.8b

Counts

59 → 16

localize42.0ms

Local error

Found 4 expressions with local error:

4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
6.8b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite24.0ms

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))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series181.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (78.0ms)

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

prune423.0ms

Filtered

57 candidates to 39 candidates (31.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	57	16	73

Merged error: 25.8b

Counts

73 → 16

regimes1.9s

Accuracy

0% (0.7b remaining)

Error of 24.2b against oracle of 23.5b and baseline of 24.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	42
1	35	42

end0.0ms

sample9.6s

Algorithm

intervals

Results

6.8s	4756×	body	1280	valid
1.7s	1892×	body	640	valid
345.0ms	573×	body	320	valid
96.0ms	573×	body	80	valid
84.0ms	207×	body	160	valid

Details

sample319.0ms

simplify77.0ms

prune9.0ms

localize44.0ms

rewrite20.0ms

series183.0ms

simplify198.0ms

prune456.0ms

localize47.0ms

rewrite21.0ms

series182.0ms

simplify85.0ms

prune666.0ms

localize45.0ms

rewrite21.0ms

series181.0ms

simplify195.0ms

prune607.0ms

localize42.0ms

rewrite24.0ms

series181.0ms

simplify83.0ms

prune423.0ms

regimes1.9s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample9.6s

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