Details

sample633.0ms

Algorithm

intervals

Results

446.0ms	147×	body	1280	valid
103.0ms	64×	body	640	valid
15.0ms	15×	body	320	valid
9.0ms	23×	body	80	valid
4.0ms	7×	body	160	valid

simplify4.7s

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.8b

localize83.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- phi1 phi2) 2.0))
3.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite68.0ms

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:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- phi1 phi2) 2.0))
28.0ms	(sin (/ (- phi1 phi2) 2.0))

series225.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- phi1 phi2) 2.0))
67.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.9s

Counts

52 → 52

Iterations

Useful iterations: 2 (35.0ms)

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

prune758.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 24.5b

localize127.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite95.0ms

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:

30.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- phi1 phi2) 2.0))

series219.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.9s

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

prune1.2s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.4b

localize98.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite58.0ms

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:

12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series260.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sin (/ (- lambda1 lambda2) 2.0))
69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (25.0ms)

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

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.3b

localize140.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite61.0ms

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:

13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series242.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.7s

Counts

52 → 52

Iterations

Useful iterations: 2 (26.0ms)

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

prune635.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.3b

regimes3.9s

Accuracy

0% (0.4b remaining)

Error of 14.5b against oracle of 14.0b and baseline of 14.5b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	93
1	43	93
done	43	93

end0.0ms

sample18.0s

Algorithm

intervals

Results

12.8s	4748×	body	1280	valid
3.5s	1911×	body	640	valid
833.0ms	537×	body	320	valid
132.0ms	578×	body	80	valid
115.0ms	228×	body	160	valid