Details

sample313.0ms

Algorithm

intervals

Results

208.0ms	152×	body	1280	valid
46.0ms	54×	body	640	valid
18.0ms	31×	body	320	valid
2.0ms	15×	body	80	valid
2.0ms	4×	body	160	valid

simplify76.0ms

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

prune8.0ms

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

localize39.0ms

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))

series23.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify190.0ms

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

prune443.0ms

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

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))

rewrite22.0ms

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))

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify82.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (77.0ms)

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

prune665.0ms

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

localize40.0ms

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))

rewrite22.0ms

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))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series23.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify196.0ms

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

prune593.0ms

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

localize40.0ms

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

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify82.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (77.0ms)

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

prune425.0ms

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

regimes1.8s

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

sample9.2s

Algorithm

intervals

Results

6.5s	4756×	body	1280	valid
1.7s	1892×	body	640	valid
348.0ms	573×	body	320	valid
98.0ms	573×	body	80	valid
79.0ms	207×	body	160	valid

Details

sample313.0ms

simplify76.0ms

prune8.0ms

localize39.0ms

rewrite20.0ms

series23.0ms

simplify190.0ms

prune443.0ms

localize42.0ms

rewrite22.0ms

series23.0ms

simplify82.0ms

prune665.0ms

localize40.0ms

rewrite22.0ms

series23.0ms

simplify196.0ms

prune593.0ms

localize40.0ms

rewrite21.0ms

series23.0ms

simplify82.0ms

prune425.0ms

regimes1.8s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample9.2s

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