Details

sample485.0ms

Algorithm

intervals

Results

366.0ms	161×	body	1280	valid
57.0ms	54×	body	640	valid
14.0ms	18×	body	320	valid
3.0ms	17×	body	80	valid
2.0ms	6×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	180	65
4	322	65
5	852	65
done	5000	65

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.3b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series236.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify1.7s

Counts

44 → 44

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	92	396
3	201	396
4	448	396
5	1251	396
done	5000	396

prune614.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.8b

localize82.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
6.4b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
33.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series208.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.4s

Counts

57 → 57

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	59	711
1	124	574
2	580	530
done	5000	530

prune727.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 23.8b

localize80.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

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:

20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
24.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series216.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
57.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify1.5s

Counts

44 → 44

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	92	396
3	201	396
4	448	396
5	1251	396
done	5000	396

prune872.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 23.7b

localize138.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series213.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify1.7s

Counts

44 → 44

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	92	396
3	201	396
4	448	396
5	1251	396
done	5000	396

prune763.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 23.6b

regimes2.4s

Accuracy

0% (0.7b remaining)

Error of 24.3b against oracle of 23.6b and baseline of 24.3b

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	46	107
1	59	107
done	59	107

end0.0ms

sample18.4s

Algorithm

intervals

Results

13.2s	4739×	body	1280	valid
3.6s	1925×	body	640	valid
542.0ms	536×	body	320	valid
250.0ms	224×	body	160	valid
179.0ms	578×	body	80	valid
2.0ms	1×	body	640	nan