Details

sample784.0ms

Algorithm

intervals

Results

574.0ms	160×	body	1280	valid
113.0ms	63×	body	640	valid
22.0ms	18×	body	320	valid
4.0ms	11×	body	80	valid
3.0ms	4×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (34.0ms)

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

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.3b

localize124.0ms

Local error

Found 4 expressions with local error:

5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite83.0ms

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

series283.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
79.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify4.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (37.0ms)

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

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 22.5b

localize151.0ms

Local error

Found 4 expressions with local error:

5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite83.0ms

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

series288.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
81.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify4.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (37.0ms)

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

prune1.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 22.5b

localize176.0ms

Local error

Found 4 expressions with local error:

5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(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:

18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series255.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify4.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (34.0ms)

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

prune1.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 22.5b

localize150.0ms

Local error

Found 4 expressions with local error:

5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite99.0ms

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))
33.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series291.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(sin (/ (- lambda1 lambda2) 2.0))
72.0ms	(sin (/ (- lambda1 lambda2) 2.0))
75.0ms	(sin (/ (- lambda1 lambda2) 2.0))
69.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify4.6s

Counts

52 → 52

Iterations

Useful iterations: 2 (39.0ms)

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

prune1.1s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 22.5b

regimes5.1s

Accuracy

0% (0.5b remaining)

Error of 24.1b against oracle of 23.6b and baseline of 24.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	67
1	35	67
done	35	67

end0.0ms

sample23.7s

Algorithm

intervals

Results

16.5s	4745×	body	1280	valid
4.3s	1904×	body	640	valid
1.5s	590×	body	320	valid
309.0ms	196×	body	160	valid
176.0ms	567×	body	80	valid
4.0ms	3×	body	640	nan