Details

sample545.0ms

Algorithm

intervals

Results

321.0ms	145×	body	1280	valid
138.0ms	58×	body	640	valid
21.0ms	21×	body	320	valid
7.0ms	26×	body	80	valid
5.0ms	7×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

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

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.1b

localize85.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- phi1 phi2) 2.0))
2.9b	(sin (/ (- phi1 phi2) 2.0))

rewrite50.0ms

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))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- phi1 phi2) 2.0))
16.0ms	(sin (/ (- phi1 phi2) 2.0))

series185.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- phi1 phi2) 2.0))
39.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify1.8s

Counts

44 → 44

Iterations

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

prune710.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.0b

localize144.0ms

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))
2.9b	(sin (/ (- phi1 phi2) 2.0))

rewrite39.0ms

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

series238.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify1.7s

Counts

44 → 44

Iterations

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

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.5b

localize107.0ms

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))

rewrite45.0ms

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))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series210.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.2s

Counts

44 → 44

Iterations

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

prune1.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.4b

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

rewrite44.0ms

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:

18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series233.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify1.8s

Counts

44 → 44

Iterations

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

prune856.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.4b

regimes5.1s

Accuracy

0% (0.5b remaining)

Error of 14.3b against oracle of 13.8b and baseline of 14.3b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	54
1	54
0	42

end0.0ms

sample21.2s

Algorithm

intervals

Results

14.7s	4729×	body	1280	valid
4.3s	1951×	body	640	valid
897.0ms	560×	body	320	valid
250.0ms	209×	body	160	valid
245.0ms	552×	body	80	valid
1.0ms	1×	body	640	nan