Details

sample587.0ms

Algorithm

intervals

Results

406.0ms	157×	body	1280	valid
110.0ms	55×	body	640	valid
14.0ms	15×	body	320	valid
5.0ms	21×	body	80	valid
5.0ms	8×	body	160	valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (28.0ms)

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

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.9b

localize97.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 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))
24.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series224.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.6s

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

prune662.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.4b

localize74.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite62.0ms

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))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.9s

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

prune898.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.4b

localize102.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
7.8b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite439.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

402.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series186.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.2s

Counts

65 → 65

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	63	773
1	113	626
2	235	586
3	574	586
4	2250	586
done	5000	577

prune881.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.4b

localize89.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(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:

11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series208.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.7s

Counts

52 → 52

Iterations

Useful iterations: 2 (28.0ms)

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

prune737.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 23.4b

regimes2.2s

Accuracy

0% (0.6b remaining)

Error of 24.4b against oracle of 23.8b and baseline of 24.4b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	73
1	43	73
done	43	73

end0.0ms

sample18.9s

Algorithm

intervals

Results

14.5s	4755×	body	1280	valid
2.8s	1908×	body	640	valid
652.0ms	578×	body	320	valid
140.0ms	557×	body	80	valid
117.0ms	206×	body	160	valid
3.0ms	3×	body	640	nan
0.0ms	1×	body	160	nan