Details

sample275.0ms

Algorithm

intervals

Results

193.0ms	156×	body	1280	valid
43.0ms	62×	body	640	valid
7.0ms	14×	body	320	valid
3.0ms	22×	body	80	valid
1.0ms	2×	body	160	valid

simplify80.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	38
1	102	38
2	191	38
3	377	38
4	776	38
5	2500	38
6	5002	38
done	5002	38

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize35.0ms

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))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- phi1 phi2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- phi1 phi2) 2.0))
37.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify85.0ms

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	110	276
1	190	248
2	404	248
3	880	248
4	2552	248
5	5001	248
done	5001	248

prune430.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.6b

localize54.0ms

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))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series146.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify82.0ms

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	110	276
1	190	248
2	404	248
3	880	248
4	2552	248
5	5001	248
done	5001	248

prune631.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 13.6b

localize49.0ms

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))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series153.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify65.0ms

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	58	276
1	99	248
2	212	248
3	467	248
4	1459	248
5	5002	248
done	5002	248

prune597.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.5b

localize51.0ms

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))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 53

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series150.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify85.0ms

Counts

65 → 65

Iterations

Useful iterations: 4 (81.0ms)

Iter	Nodes	Cost
0	112	341
1	294	341
2	811	341
3	3181	341
4	5001	314
done	5001	314

prune508.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.5b

regimes1.6s

Accuracy

0% (0.5b remaining)

Error of 14.6b against oracle of 14.2b and baseline of 14.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	58
1	51	58
done	51	58

end0.0ms

sample8.1s

Algorithm

intervals

Results

5.8s	4767×	body	1280	valid
1.4s	1930×	body	640	valid
270.0ms	559×	body	320	valid
79.0ms	585×	body	80	valid
53.0ms	161×	body	160	valid