Details

sample739.0ms

Algorithm

intervals

Results

508.0ms	151×	body	1280	valid
123.0ms	62×	body	640	valid
31.0ms	22×	body	320	valid
8.0ms	8×	body	160	valid
4.0ms	13×	body	80	valid

simplify10.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4933
6	1366
5	618
4	351
3	176
2	99
1	56
0	26

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.5b

localize189.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- phi1 phi2) 2.0))
4.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- phi1 phi2) 2.0))
26.0ms	(sin (/ (- phi1 phi2) 2.0))

series333.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sin (/ (- lambda1 lambda2) 2.0))
97.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- phi1 phi2) 2.0))
74.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify7.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
6	4430
5	1662
4	767
3	358
2	194
1	111
0	64

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 24.0b

localize258.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- phi1 phi2) 2.0))

series295.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(sin (/ (- lambda1 lambda2) 2.0))
73.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
80.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify7.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
6	4430
5	1662
4	767
3	358
2	194
1	111
0	64

prune1.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 15.1b

localize242.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
24.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series286.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
73.0ms	(sin (/ (- lambda1 lambda2) 2.0))
73.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.6s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
6	1244
5	580
4	348
3	176
2	101
1	59
0	34

prune1.9s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.0b

localize291.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
29.0ms	(sin (/ (- lambda1 lambda2) 2.0))
24.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series305.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(sin (/ (- lambda1 lambda2) 2.0))
75.0ms	(sin (/ (- lambda1 lambda2) 2.0))
76.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.5s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
6	1244
5	580
4	348
3	176
2	101
1	59
0	34

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.0b

regimes7.6s

Accuracy

0% (0.4b remaining)

Error of 14.0b against oracle of 13.5b and baseline of 14.0b

bsearch0.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	46
1	46
0	38

end2.0ms

sample30.6s

Algorithm

intervals

Results

21.8s	4702×	body	1280	valid
5.8s	1890×	body	640	valid
1.6s	600×	body	320	valid
274.0ms	196×	body	160	valid
234.0ms	613×	body	80	valid
1.0ms	1×	body	320	nan