Details

sample566.0ms

Algorithm

intervals

Results

383.0ms	145×	body	1280	valid
102.0ms	58×	body	640	valid
20.0ms	21×	body	320	valid
7.0ms	26×	body	80	valid
5.0ms	7×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	189	63
4	394	63
5	1056	63
done	5000	63

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.1b

localize85.0ms

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))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- phi1 phi2) 2.0))
13.0ms	(sin (/ (- phi1 phi2) 2.0))

series228.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- phi1 phi2) 2.0))
67.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.0s

Counts

52 → 52

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	64	508
1	111	504
2	196	454
3	426	452
4	1113	452
5	3111	452
done	5000	452

prune861.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.0b

localize122.0ms

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))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- phi1 phi2) 2.0))

series235.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
71.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.0s

Counts

52 → 52

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	64	508
1	111	504
2	196	453
3	426	452
4	1113	452
5	3111	452
done	5000	452

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 15.5b

localize144.0ms

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))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series243.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.8s

Counts

52 → 52

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	102	452
3	227	452
4	575	452
5	1702	452
done	5000	452

prune1.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 15.4b

localize122.0ms

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` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series225.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
69.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.7s

Counts

52 → 52

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	102	452
3	227	452
4	575	452
5	1702	452
done	5000	452

prune932.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.4b

regimes4.6s

Accuracy

0% (0.5b remaining)

Error of 14.3b against oracle of 13.8b and baseline of 14.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	108
1	46	108
done	46	108

end0.0ms

sample21.0s

Algorithm

intervals

Results

14.4s	4729×	body	1280	valid
3.9s	1951×	body	640	valid
1.6s	560×	body	320	valid
268.0ms	552×	body	80	valid
133.0ms	209×	body	160	valid
1.0ms	1×	body	640	nan