Details

sample568.0ms

Algorithm

intervals

Results

404.0ms	149×	body	1280	valid
93.0ms	67×	body	640	valid
14.0ms	18×	body	320	valid
4.0ms	17×	body	80	valid
3.0ms	5×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.0b

localize100.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
5.3b	(sin (/ (- phi1 phi2) 2.0))
5.3b	(sin (/ (- phi1 phi2) 2.0))

rewrite60.0ms

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))
11.0ms	(sin (/ (- phi1 phi2) 2.0))
18.0ms	(sin (/ (- phi1 phi2) 2.0))

series229.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- phi1 phi2) 2.0))
42.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify4.5s

Counts

52 → 52

Iterations

Useful iterations: 2 (74.0ms)

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

prune892.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 23.6b

localize137.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
5.3b	(sin (/ (- phi1 phi2) 2.0))

rewrite76.0ms

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))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- phi1 phi2) 2.0))

series226.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
73.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.8s

Counts

52 → 52

Iterations

Useful iterations: 2 (65.0ms)

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

prune1.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 14.2b

localize140.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite60.0ms

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

series263.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
72.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (38.0ms)

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

prune1.1s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 14.2b

localize154.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite90.0ms

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))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series240.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
75.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.8s

Counts

52 → 52

Iterations

Useful iterations: 2 (34.0ms)

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

prune827.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 14.2b

regimes4.2s

Accuracy

0% (0.5b remaining)

Error of 13.8b against oracle of 13.3b and baseline of 13.8b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	93
1	44	93
done	44	93

end0.0ms

sample19.8s

Algorithm

intervals

Results

13.2s	4731×	body	1280	valid
4.4s	1927×	body	640	valid
690.0ms	571×	body	80	valid
584.0ms	558×	body	320	valid
177.0ms	214×	body	160	valid
2.0ms	1×	body	640	nan