Details

sample270.0ms

Algorithm

intervals

Results

185.0ms	151×	body	1280	valid
48.0ms	65×	body	640	valid
8.0ms	16×	body	320	valid
3.0ms	19×	body	80	valid
2.0ms	5×	body	160	valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	169	65
4	310	65
5	529	65
6	1411	65
7	4708	65
done	5000	65

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize38.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- phi1 phi2) 2.0))
3.3b	(sin (/ (- phi1 phi2) 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))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

series150.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- phi1 phi2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify1.9s

Counts

44 → 44

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	170	396
3	309	396
4	605	396
5	1455	396
done	5000	396

prune388.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.6b

localize50.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(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:

7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

series146.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify1.9s

Counts

44 → 44

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	170	396
3	309	396
4	605	396
5	1455	396
done	5000	396

prune544.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 14.0b

localize46.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 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 (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series155.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.9s

Counts

44 → 44

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	158	396
4	304	396
5	737	396
6	2897	396
done	5000	396

prune508.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 14.0b

localize52.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 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))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series154.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify4.1s

Counts

44 → 44

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	158	396
4	304	396
5	737	396
6	2897	396
done	5000	396

prune393.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 14.0b

regimes1.3s

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	38	94
1	49	94
done	49	94

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.8s	4767×	body	1280	valid
1.5s	1948×	body	640	valid
270.0ms	517×	body	320	valid
76.0ms	217×	body	160	valid
74.0ms	553×	body	80	valid
1.0ms	1×	body	640	nan
0.0ms	1×	body	320	nan