Details

sample518.0ms

Algorithm

intervals

Results

333.0ms	157×	body	1280	valid
76.0ms	61×	body	640	valid
58.0ms	20×	body	320	valid
3.0ms	14×	body	80	valid
3.0ms	4×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	186	63
4	371	63
5	700	63
6	1587	63
done	5001	63

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.6b

localize57.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.9s

Counts

52 → 52

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	189	452
4	394	452
5	940	452
6	2827	452
done	5000	452

prune649.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 24.1b

localize55.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series210.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	189	452
4	394	452
5	940	452
6	2827	452
done	5000	452

prune836.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.1b

localize71.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
24.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series197.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.8s

Counts

52 → 52

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	189	452
4	394	452
5	940	452
6	2827	452
done	5000	452

prune917.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 24.1b

localize102.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	189	452
4	394	452
5	940	452
6	2827	452
done	5000	452

prune609.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 24.1b

regimes1.2s

Accuracy

0% (0.5b remaining)

Error of 23.9b against oracle of 23.4b and baseline of 23.9b

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	33	69
1	42	69
done	42	69

end0.0ms

sample17.0s

Algorithm

intervals

Results

11.9s	4714×	body	1280	valid
3.1s	1938×	body	640	valid
1.0s	558×	body	320	valid
218.0ms	573×	body	80	valid
109.0ms	218×	body	160	valid