Details

sample618.0ms

Algorithm

intervals

Results

383.0ms	147×	body	1280	valid
158.0ms	73×	body	640	valid
13.0ms	15×	body	320	valid
5.0ms	19×	body	80	valid
3.0ms	3×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.0b

localize135.0ms

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))

rewrite46.0ms

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))
14.0ms	(sin (/ (- phi1 phi2) 2.0))
16.0ms	(sin (/ (- phi1 phi2) 2.0))

series227.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(sin (/ (- phi1 phi2) 2.0))
64.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
5	3111
4	1113
3	426
2	196
1	111
0	64

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 22.4b

localize139.0ms

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))

rewrite42.0ms

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))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- phi1 phi2) 2.0))

series201.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
5	3111
4	1113
3	426
2	196
1	111
0	64

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.7b

localize130.0ms

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))

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series220.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.9s

Counts

52 → 52

Iterations

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

prune1.3s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 12.6b

localize187.0ms

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))

rewrite423.0ms

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))
372.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series192.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.3s

Counts

52 → 52

Iterations

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

prune1.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 12.6b

regimes5.9s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	46
1	46
0	38

end0.0ms

sample18.0s

Algorithm

intervals

Results

12.1s	4791×	body	1280	valid
3.9s	1938×	body	640	valid
1.0s	536×	body	320	valid
173.0ms	556×	body	80	valid
138.0ms	183×	body	160	valid
3.0ms	2×	body	640	nan
0.0ms	1×	body	160	nan