Details

sample570.0ms

Algorithm

intervals

Results

317.0ms	150×	body	1280	valid
167.0ms	65×	body	640	valid
14.0ms	17×	body	320	valid
13.0ms	17×	body	80	valid
5.0ms	7×	body	160	valid

simplify6.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	26	1117
1	56	1117
2	99	1092
3	176	1092
4	349	1092
5	606	1092
6	1329	1092
7	4817	1092
done	5000	1092

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.7b

localize123.0ms

Local error

Found 4 expressions with local error:

3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- phi1 phi2) 2.0))
8.0ms	(sin (/ (- phi1 phi2) 2.0))

series552.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- phi1 phi2) 2.0))
395.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify4.7s

Counts

52 → 52

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	64	12536
1	111	11912
2	194	11882
3	356	11852
4	761	11852
5	1648	11852
6	4304	11852
done	5000	11852

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 23.4b

localize156.0ms

Local error

Found 4 expressions with local error:

3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- phi1 phi2) 2.0))

series217.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- lambda1 lambda2) 2.0))
57.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify5.0s

Counts

52 → 52

Iterations

Useful iterations: 3 (171.0ms)

Iter	Nodes	Cost
0	64	12536
1	111	11912
2	194	11867
3	356	11852
4	761	11852
5	1648	11852
6	4304	11852
done	5000	11852

prune1.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 13.7b

localize152.0ms

Local error

Found 4 expressions with local error:

3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series222.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify4.9s

Counts

52 → 52

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	34	12536
1	59	11912
2	101	11852
3	187	11852
4	387	11852
5	819	11852
6	2180	11852
done	5001	11852

prune1.3s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.7b

localize190.0ms

Local error

Found 4 expressions with local error:

3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series204.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify4.9s

Counts

52 → 52

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	34	12536
1	59	11912
2	101	11852
3	187	11852
4	387	11852
5	819	11852
6	2180	11852
done	5001	11852

prune1.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.7b

regimes3.3s

Accuracy

0% (0.4b remaining)

Error of 13.7b against oracle of 13.3b and baseline of 13.7b

bsearch0.0ms

simplify13.0ms

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	39	1857
1	50	1857
done	50	1857

end0.0ms

sample20.1s

Algorithm

intervals

Results

14.9s	4731×	body	1280	valid
3.4s	1928×	body	640	valid
591.0ms	197×	body	160	valid
583.0ms	555×	body	320	valid
157.0ms	591×	body	80	valid