Details

sample529.0ms

Algorithm

intervals

Results

389.0ms	161×	body	1280	valid
76.0ms	54×	body	640	valid
17.0ms	18×	body	320	valid
4.0ms	17×	body	80	valid
4.0ms	6×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	189	63
4	394	63
5	1058	63
done	5000	63

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.3b

localize83.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite58.0ms

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:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series225.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	102	452
3	226	452
4	564	452
5	1743	452
done	5000	452

prune725.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.8b

localize101.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite61.0ms

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:

14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(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:

48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	102	452
3	226	452
4	564	452
5	1743	452
done	5000	452

prune790.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.8b

localize72.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite95.0ms

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:

19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
71.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.9s

Counts

52 → 52

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	102	452
3	226	452
4	564	452
5	1743	452
done	5000	452

prune788.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.8b

localize118.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite55.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series238.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.3s

Counts

52 → 52

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	102	452
3	226	452
4	564	452
5	1743	452
done	5000	452

prune695.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.8b

regimes2.0s

Accuracy

0% (0.6b remaining)

Error of 24.2b against oracle of 23.7b and baseline of 24.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	72
1	45	72
done	45	72

end0.0ms

sample19.4s

Algorithm

intervals

Results

13.9s	4739×	body	1280	valid
3.5s	1925×	body	640	valid
875.0ms	536×	body	320	valid
178.0ms	578×	body	80	valid
169.0ms	224×	body	160	valid
1.0ms	1×	body	640	nan