Details

sample750.0ms

Algorithm

intervals

Results

450.0ms	147×	body	1280	valid
198.0ms	73×	body	640	valid
23.0ms	19×	body	80	valid
17.0ms	15×	body	320	valid
2.0ms	3×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	26	1117
1	56	1117
2	100	1092
3	189	1092
4	394	1092
5	1056	1092
done	5000	1092

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.0b

localize117.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- phi1 phi2) 2.0))
3.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite70.0ms

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:

14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
24.0ms	(sin (/ (- phi1 phi2) 2.0))
15.0ms	(sin (/ (- phi1 phi2) 2.0))

series236.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- phi1 phi2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify4.1s

Counts

52 → 52

Iterations

Useful iterations: 3 (187.0ms)

Iter	Nodes	Cost
0	64	12536
1	111	11912
2	196	11882
3	426	11852
4	1113	11852
5	3111	11852
done	5000	11852

prune944.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 22.4b

localize147.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite64.0ms

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:

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

series224.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.5s

Counts

52 → 52

Iterations

Useful iterations: 3 (178.0ms)

Iter	Nodes	Cost
0	64	12536
1	111	11912
2	196	11867
3	426	11852
4	1113	11852
5	3111	11852
done	5000	11852

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.7b

localize141.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite51.0ms

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))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series204.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	34	12536
1	59	11912
2	102	11852
3	227	11852
4	575	11852
5	1702	11852
done	5000	11852

prune1.3s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 12.6b

localize189.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite41.0ms

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:

14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series185.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.3s

Counts

52 → 52

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	34	12536
1	59	11912
2	102	11852
3	227	11852
4	575	11852
5	1702	11852
done	5000	11852

prune1.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 12.6b

regimes5.5s

Accuracy

0% (0.4b remaining)

Error of 14.4b against oracle of 14.0b and baseline of 14.4b

bsearch0.0ms

simplify15.0ms

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	37	1787
1	44	1787
done	44	1787

end0.0ms

sample20.0s

Algorithm

intervals

Results

13.7s	4791×	body	1280	valid
3.9s	1938×	body	640	valid
1.5s	536×	body	320	valid
184.0ms	556×	body	80	valid
109.0ms	183×	body	160	valid
3.0ms	2×	body	640	nan
1.0ms	1×	body	160	nan