Details

sample603.0ms

Algorithm

intervals

Results

422.0ms	147×	body	1280	valid
109.0ms	64×	body	640	valid
13.0ms	15×	body	320	valid
7.0ms	23×	body	80	valid
4.0ms	7×	body	160	valid

simplify7.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	177	65
4	303	65
5	522	65
6	1279	65
7	4457	65
done	5000	65

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.8b

localize59.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- phi1 phi2) 2.0))
3.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- phi1 phi2) 2.0))
11.0ms	(sin (/ (- phi1 phi2) 2.0))

series181.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
57.0ms	(sin (/ (- phi1 phi2) 2.0))
43.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify7.4s

Counts

44 → 44

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	170	396
3	308	396
4	577	396
5	1423	396
6	4703	396
done	5000	396

prune700.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.6b

localize120.0ms

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))
3.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- phi1 phi2) 2.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify7.1s

Counts

44 → 44

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	170	396
3	308	396
4	577	396
5	1423	396
6	4703	396
done	5000	396

prune942.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.4b

localize110.0ms

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))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series216.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
73.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.6s

Counts

44 → 44

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	168	396
4	306	396
5	742	396
6	2431	396
done	5000	396

prune705.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.3b

localize122.0ms

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))
3.6b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `div-sub` `log-pow` `sin-diff` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 40

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify4.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	58	568
1	91	533
2	146	470
3	251	470
4	474	470
5	1173	470
6	3597	470
done	5000	470

prune782.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.3b

regimes3.3s

Accuracy

0% (0.4b remaining)

Error of 14.5b against oracle of 14.0b and baseline of 14.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	96
1	51	96
done	51	96

end0.0ms

sample20.4s

Algorithm

intervals

Results

13.9s	4748×	body	1280	valid
3.7s	1911×	body	640	valid
1.6s	537×	body	320	valid
233.0ms	228×	body	160	valid
157.0ms	578×	body	80	valid