Details

sample538.0ms

Algorithm

intervals

Results

380.0ms	155×	body	1280	valid
89.0ms	58×	body	640	valid
19.0ms	22×	body	320	valid
4.0ms	6×	body	160	valid
3.0ms	15×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize91.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- phi1 phi2) 2.0))
2.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite77.0ms

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:

18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- phi1 phi2) 2.0))
22.0ms	(sin (/ (- phi1 phi2) 2.0))

series217.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- phi1 phi2) 2.0))
45.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify2.5s

Counts

44 → 44

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	176	396
3	389	396
4	914	396
5	2732	396
done	5000	396

prune611.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 21.8b

localize87.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(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:

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

series229.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify2.4s

Counts

44 → 44

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	176	396
3	389	396
4	914	396
5	2732	396
done	5000	396

prune953.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.8b

localize118.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite95.0ms

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:

22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series220.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify1.7s

Counts

44 → 44

Iterations

Useful iterations: 2 (29.0ms)

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

prune871.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 11.8b

localize115.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
6.7b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite66.0ms

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:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series187.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.4s

Counts

57 → 57

Iterations

Useful iterations: 2 (85.0ms)

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

prune762.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 11.8b

regimes2.8s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	108
1	48	108
done	48	108

end0.0ms

sample20.8s

Algorithm

intervals

Results

14.0s	4661×	body	1280	valid
5.0s	1983×	body	640	valid
778.0ms	571×	body	320	valid
156.0ms	567×	body	80	valid
136.0ms	220×	body	160	valid
2.0ms	2×	body	640	nan
1.0ms	2×	body	80	nan