Details

sample608.0ms

Algorithm

intervals

Results

387.0ms	145×	body	1280	valid
76.0ms	58×	body	640	valid
69.0ms	7×	body	160	valid
19.0ms	21×	body	320	valid
7.0ms	26×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	180	65
4	325	65
5	870	65
done	5000	65

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.1b

localize117.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- phi1 phi2) 2.0))
2.9b	(sin (/ (- phi1 phi2) 2.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- phi1 phi2) 2.0))
16.0ms	(sin (/ (- phi1 phi2) 2.0))

series249.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- phi1 phi2) 2.0))
67.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify1.8s

Counts

44 → 44

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	176	400
3	386	396
4	890	396
5	2609	396
done	5000	396

prune802.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 24.0b

localize172.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- phi1 phi2) 2.0))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- phi1 phi2) 2.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify1.8s

Counts

44 → 44

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	176	398
3	386	396
4	890	396
5	2609	396
done	5000	396

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 15.5b

localize116.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series222.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.0s

Counts

44 → 44

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	92	396
3	203	396
4	449	396
5	1328	396
done	5000	396

prune918.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 15.4b

localize129.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series225.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify1.9s

Counts

44 → 44

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	92	396
3	203	396
4	449	396
5	1328	396
done	5000	396

prune714.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.4b

regimes3.3s

Accuracy

0% (0.4b remaining)

Error of 14.2b against oracle of 13.8b and baseline of 14.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	96
1	51	96
done	51	96

end0.0ms

sample20.7s

Algorithm

intervals

Results

13.8s	4729×	body	1280	valid
4.7s	1951×	body	640	valid
651.0ms	560×	body	320	valid
590.0ms	552×	body	80	valid
253.0ms	209×	body	160	valid
1.0ms	1×	body	640	nan