Details

sample543.0ms

Algorithm

intervals

Results

391.0ms	152×	body	1280	valid
78.0ms	56×	body	640	valid
18.0ms	19×	body	320	valid
6.0ms	22×	body	80	valid
5.0ms	7×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	870
4	325
3	180
2	96
1	56
0	26

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.7b

localize66.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- phi1 phi2) 2.0))
9.0ms	(sin (/ (- phi1 phi2) 2.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- phi1 phi2) 2.0))
45.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify1.6s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
5	2609
4	890
3	386
2	176
1	103
0	60

prune823.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 21.6b

localize135.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- phi1 phi2) 2.0))

series203.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify1.9s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
5	2609
4	890
3	386
2	176
1	103
0	60

prune1.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.3b

localize97.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series205.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.0s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
5	1328
4	449
3	203
2	92
1	55
0	32

prune1.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.3b

localize141.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

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

series209.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.0s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
5	1328
4	449
3	203
2	92
1	55
0	32

prune760.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.3b

regimes3.3s

Accuracy

0% (0.4b remaining)

Error of 13.8b against oracle of 13.4b and baseline of 13.8b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	52
1	52
0	41

end0.0ms

sample21.3s

Algorithm

intervals

Results

16.2s	4765×	body	1280	valid
3.2s	1928×	body	640	valid
754.0ms	561×	body	320	valid
246.0ms	556×	body	80	valid
121.0ms	193×	body	160	valid
1.0ms	1×	body	640	nan
1.0ms	1×	body	160	nan