Details

sample651.0ms

Algorithm

intervals

Results

423.0ms	155×	body	1280	valid
94.0ms	58×	body	640	valid
80.0ms	22×	body	320	valid
5.0ms	15×	body	80	valid
4.0ms	6×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (33.0ms)

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.8b

localize58.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- phi1 phi2) 2.0))
2.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite71.0ms

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))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- phi1 phi2) 2.0))
18.0ms	(sin (/ (- phi1 phi2) 2.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
71.0ms	(sin (/ (- phi1 phi2) 2.0))
52.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.6s

Counts

52 → 52

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	64	508
1	111	504
2	196	452
3	436	452
4	1113	452
5	3140	452
done	5000	452

prune745.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 21.8b

localize92.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- phi1 phi2) 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:

21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- phi1 phi2) 2.0))

series228.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.3s

Counts

52 → 52

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	64	508
1	111	504
2	196	452
3	436	452
4	1113	452
5	3140	452
done	5000	452

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.8b

localize100.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite54.0ms

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

series189.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (27.0ms)

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

prune878.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.8b

localize76.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite67.0ms

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))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series227.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (21.0ms)

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

prune784.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 11.8b

regimes3.9s

Accuracy

0% (0.6b remaining)

Error of 14.1b against oracle of 13.5b and baseline of 14.1b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	94
1	45	94
done	45	94

end0.0ms

sample17.3s

Algorithm

intervals

Results

12.2s	4661×	body	1280	valid
3.3s	1983×	body	640	valid
678.0ms	571×	body	320	valid
289.0ms	567×	body	80	valid
163.0ms	220×	body	160	valid
2.0ms	2×	body	640	nan
0.0ms	2×	body	80	nan