Details

sample822.0ms

Algorithm

intervals

Results

538.0ms	151×	body	1280	valid
122.0ms	62×	body	640	valid
88.0ms	22×	body	320	valid
6.0ms	8×	body	160	valid
5.0ms	13×	body	80	valid

simplify10.4s

Counts

1 → 1

Iterations

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

prune57.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.5b

localize196.0ms

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))

rewrite82.0ms

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:

20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- phi1 phi2) 2.0))
20.0ms	(sin (/ (- phi1 phi2) 2.0))

series282.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
75.0ms	(sin (/ (- lambda1 lambda2) 2.0))
74.0ms	(sin (/ (- phi1 phi2) 2.0))
67.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify6.9s

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

localize240.0ms

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))

rewrite85.0ms

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))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
30.0ms	(sin (/ (- phi1 phi2) 2.0))

series312.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- lambda1 lambda2) 2.0))
77.0ms	(sin (/ (- lambda1 lambda2) 2.0))
73.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify7.1s

Counts

52 → 52

Iterations

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

prune1.9s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 15.1b

localize248.0ms

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))

rewrite101.0ms

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:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series314.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(sin (/ (- lambda1 lambda2) 2.0))
71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(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

prune1.8s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.0b

localize310.0ms

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))

rewrite94.0ms

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:

25.0ms	(sin (/ (- lambda1 lambda2) 2.0))
23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
23.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series299.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
83.0ms	(sin (/ (- lambda1 lambda2) 2.0))
76.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(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

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.0b

regimes8.2s

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

end0.0ms

sample27.4s

Algorithm

intervals

Results

20.7s	4702×	body	1280	valid
4.5s	1890×	body	640	valid
824.0ms	600×	body	320	valid
279.0ms	613×	body	80	valid
189.0ms	196×	body	160	valid
1.0ms	1×	body	320	nan