Details

sample465.0ms

Algorithm

intervals

Results

334.0ms	149×	body	1280	valid
73.0ms	65×	body	640	valid
12.0ms	16×	body	320	valid
4.0ms	20×	body	80	valid
3.0ms	6×	body	160	valid

simplify7.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	177	65
4	303	65
5	522	65
6	1279	65
7	4457	65
done	5000	65

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.1b

localize75.0ms

Local error

Found 4 expressions with local error:

3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- phi1 phi2) 2.0))
4.5b	(sin (/ (- phi1 phi2) 2.0))

rewrite69.0ms

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:

21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- phi1 phi2) 2.0))
15.0ms	(sin (/ (- phi1 phi2) 2.0))

series226.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- phi1 phi2) 2.0))
48.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify7.7s

Counts

44 → 44

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	170	396
3	308	396
4	577	396
5	1423	396
6	4703	396
done	5000	396

prune733.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.6b

localize91.0ms

Local error

Found 4 expressions with local error:

3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- phi1 phi2) 2.0))

rewrite65.0ms

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:

25.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- phi1 phi2) 2.0))

series183.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify7.1s

Counts

44 → 44

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	170	396
3	308	396
4	577	396
5	1423	396
6	4703	396
done	5000	396

prune932.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 15.2b

localize76.0ms

Local error

Found 4 expressions with local error:

3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite55.0ms

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:

11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.2s

Counts

44 → 44

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	168	396
4	306	396
5	742	396
6	2431	396
done	5000	396

prune737.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 15.1b

localize125.0ms

Local error

Found 4 expressions with local error:

3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite88.0ms

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:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
30.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series198.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.7s

Counts

44 → 44

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	168	396
4	306	396
5	742	396
6	2431	396
done	5000	396

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 15.1b

regimes2.2s

Accuracy

0% (0.4b remaining)

Error of 14.0b against oracle of 13.6b and baseline of 14.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	96
1	49	96
done	49	96

end0.0ms

sample19.8s

Algorithm

intervals

Results

12.7s	4675×	body	1280	valid
4.9s	1977×	body	640	valid
685.0ms	559×	body	80	valid
675.0ms	591×	body	320	valid
157.0ms	200×	body	160	valid
1.0ms	1×	body	640	nan
0.0ms	1×	body	80	nan