Details

sample266.0ms

Algorithm

intervals

Results

188.0ms	156×	body	1280	valid
42.0ms	62×	body	640	valid
7.0ms	14×	body	320	valid
3.0ms	22×	body	80	valid
1.0ms	2×	body	160	valid

simplify74.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	38
1	98	38
2	182	38
3	309	38
4	609	38
5	2169	38
6	5001	38
done	5001	38

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize33.0ms

Local error

Found 4 expressions with local error:

2.2b	(sin (/ (- lambda1 lambda2) 2.0))
2.2b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- phi1 phi2) 2.0))
2.7b	(sin (/ (- phi1 phi2) 2.0))

rewrite40.0ms

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))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- phi1 phi2) 2.0))
9.0ms	(sin (/ (- phi1 phi2) 2.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- phi1 phi2) 2.0))
37.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify78.0ms

Counts

44 → 44

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	102	248
1	170	216
2	356	216
3	692	216
4	2118	216
5	5001	216
done	5001	216

prune371.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.7b

localize52.0ms

Local error

Found 4 expressions with local error:

2.2b	(sin (/ (- lambda1 lambda2) 2.0))
2.2b	(sin (/ (- lambda1 lambda2) 2.0))
2.2b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- phi1 phi2) 2.0))

rewrite42.0ms

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:

13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series150.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify78.0ms

Counts

44 → 44

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	102	248
1	170	216
2	356	216
3	692	216
4	2118	216
5	5001	216
done	5001	216

prune571.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 13.6b

localize43.0ms

Local error

Found 4 expressions with local error:

2.2b	(sin (/ (- lambda1 lambda2) 2.0))
2.2b	(sin (/ (- lambda1 lambda2) 2.0))
2.2b	(sin (/ (- lambda1 lambda2) 2.0))
2.2b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite42.0ms

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))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series155.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify196.0ms

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216
done	5002	216

prune511.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.5b

localize48.0ms

Local error

Found 4 expressions with local error:

2.2b	(sin (/ (- lambda1 lambda2) 2.0))
2.2b	(sin (/ (- lambda1 lambda2) 2.0))
2.2b	(sin (/ (- lambda1 lambda2) 2.0))
6.6b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite41.0ms

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:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series146.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify85.0ms

Counts

57 → 57

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	106	313
1	282	309
2	784	309
3	3070	309
4	5002	282
done	5002	282

prune433.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.5b

regimes1.6s

Accuracy

0% (0.5b remaining)

Error of 14.7b against oracle of 14.2b and baseline of 14.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	65
1	50	65
done	50	65

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.7s	4767×	body	1280	valid
1.4s	1930×	body	640	valid
287.0ms	559×	body	320	valid
88.0ms	585×	body	80	valid
50.0ms	161×	body	160	valid