Details

sample263.0ms

Algorithm

intervals

Results

186.0ms	157×	body	1280	valid
37.0ms	52×	body	640	valid
9.0ms	18×	body	320	valid
3.0ms	24×	body	80	valid
2.0ms	5×	body	160	valid

simplify4.6s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.2b

localize40.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- phi1 phi2) 2.0))
4.2b	(sin (/ (- phi1 phi2) 2.0))

rewrite38.0ms

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:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- phi1 phi2) 2.0))
9.0ms	(sin (/ (- phi1 phi2) 2.0))

series352.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- phi1 phi2) 2.0))
238.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify4.4s

Counts

44 → 44

Iterations

Useful iterations: 2 (29.0ms)

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

prune379.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 21.8b

localize54.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- phi1 phi2) 2.0))

rewrite38.0ms

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:

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

series152.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify4.3s

Counts

44 → 44

Iterations

Useful iterations: 2 (28.0ms)

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

prune543.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 13.5b

localize42.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite41.0ms

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:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.8s

Counts

44 → 44

Iterations

Useful iterations: 2 (16.0ms)

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

prune525.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 13.5b

localize53.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
6.3b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite59.0ms

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:

11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
28.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series149.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify3.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (24.0ms)

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

prune422.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.4b

regimes1.6s

Accuracy

0% (0.4b remaining)

Error of 14.2b against oracle of 13.8b and baseline of 14.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample7.9s

Algorithm

intervals

Results

5.6s	4755×	body	1280	valid
1.4s	1932×	body	640	valid
260.0ms	541×	body	320	valid
75.0ms	573×	body	80	valid
64.0ms	201×	body	160	valid
2.0ms	3×	body	640	nan
0.0ms	1×	body	160	nan