Details

sample553.0ms

Algorithm

intervals

Results

361.0ms	149×	body	1280	valid
92.0ms	65×	body	640	valid
29.0ms	6×	body	160	valid
16.0ms	16×	body	320	valid
5.0ms	20×	body	80	valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (61.0ms)

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.0b

localize58.0ms

Local error

Found 4 expressions with local error:

3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- phi1 phi2) 2.0))
4.5b	(sin (/ (- phi1 phi2) 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:

19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- phi1 phi2) 2.0))
19.0ms	(sin (/ (- phi1 phi2) 2.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- phi1 phi2) 2.0))
63.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.9s

Counts

52 → 52

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	64	508
1	111	504
2	190	452
3	354	452
4	757	452
5	1862	452
done	5000	452

prune848.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 24.6b

localize110.0ms

Local error

Found 4 expressions with local error:

3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- phi1 phi2) 2.0))

rewrite48.0ms

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))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- phi1 phi2) 2.0))

series202.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify4.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	64	508
1	111	504
2	190	452
3	354	452
4	757	452
5	1862	452
done	5000	452

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.2b

localize95.0ms

Local error

Found 4 expressions with local error:

3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite82.0ms

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))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
27.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.8s

Counts

52 → 52

Iterations

Useful iterations: 2 (37.0ms)

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

prune839.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.1b

localize113.0ms

Local error

Found 4 expressions with local error:

3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite75.0ms

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))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series203.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
57.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (18.0ms)

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

prune662.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.1b

regimes2.0s

Accuracy

0% (0.4b remaining)

Error of 14.0b against oracle of 13.6b and baseline of 14.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample21.0s

Algorithm

intervals

Results

15.4s	4675×	body	1280	valid
3.5s	1977×	body	640	valid
803.0ms	591×	body	320	valid
286.0ms	559×	body	80	valid
195.0ms	200×	body	160	valid
1.0ms	1×	body	640	nan
0.0ms	1×	body	80	nan