Details

sample560.0ms

Algorithm

intervals

Results

398.0ms	149×	body	1280	valid
101.0ms	65×	body	640	valid
16.0ms	16×	body	320	valid
5.0ms	20×	body	80	valid
3.0ms	6×	body	160	valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (74.0ms)

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: 26.0b

localize85.0ms

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))

rewrite56.0ms

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))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- phi1 phi2) 2.0))
11.0ms	(sin (/ (- phi1 phi2) 2.0))

series244.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- phi1 phi2) 2.0))
55.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.7s

Counts

52 → 52

Iterations

Useful iterations: 2 (67.0ms)

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

prune648.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 24.6b

localize71.0ms

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))

rewrite87.0ms

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:

24.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- phi1 phi2) 2.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify4.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (56.0ms)

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

localize90.0ms

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))

rewrite65.0ms

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))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
32.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series253.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (36.0ms)

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

prune986.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.1b

localize99.0ms

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))

rewrite100.0ms

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:

20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series217.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.5s

Counts

52 → 52

Iterations

Useful iterations: 2 (39.0ms)

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

prune659.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.1b

regimes2.3s

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	39	96
1	49	96
done	49	96

end0.0ms

sample21.3s

Algorithm

intervals

Results

14.0s	4675×	body	1280	valid
4.3s	1977×	body	640	valid
1.3s	591×	body	320	valid
728.0ms	200×	body	160	valid
219.0ms	559×	body	80	valid
8.0ms	1×	body	640	nan
0.0ms	1×	body	80	nan