Details

sample568.0ms

Algorithm

intervals

Results

410.0ms	156×	body	1280	valid
97.0ms	59×	body	640	valid
26.0ms	22×	body	320	valid
5.0ms	17×	body	80	valid
2.0ms	3×	body	160	valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	169	65
4	310	65
5	529	65
6	1411	65
7	4773	65
done	5000	65

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 25.6b

Counts

2 → 1

localize33.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
4.4b	(sin (/ (- phi1 phi2) 2.0))
4.4b	(sin (/ (- phi1 phi2) 2.0))

rewrite26.0ms

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))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

series24.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify2.3s

Counts

44 → 44

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	170	396
3	309	396
4	605	396
5	1453	396
done	5000	396

prune367.0ms

Filtered

40 candidates to 44 candidates (-10.0%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	28	16	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	16	45

Merged error: 24.2b

Counts

45 → 16

localize52.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
4.4b	(sin (/ (- phi1 phi2) 2.0))

rewrite23.0ms

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:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

series24.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify2.3s

Counts

44 → 44

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	170	396
3	309	396
4	605	396
5	1453	396
done	5000	396

prune434.0ms

Filtered

40 candidates to 44 candidates (-10.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	42	18	60

Merged error: 12.5b

Counts

60 → 18

localize45.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite23.0ms

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:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series23.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify4.9s

Counts

44 → 44

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	158	396
4	304	396
5	737	396
6	2911	396
done	5001	396

prune513.0ms

Filtered

40 candidates to 44 candidates (-10.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	42	20	62

Merged error: 12.4b

Counts

62 → 20

localize52.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
7.4b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite24.0ms

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:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series24.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.3s

Counts

57 → 57

Iterations

Useful iterations: 2 (198.0ms)

Iter	Nodes	Cost
0	59	711
1	106	574
2	221	530
3	542	530
4	1818	530
done	5000	530

prune362.0ms

Filtered

43 candidates to 57 candidates (-32.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	54	23	77

Merged error: 12.4b

Counts

77 → 23

regimes2.4s

Accuracy

0% (0.5b remaining)

Error of 14.1b against oracle of 13.7b and baseline of 14.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample17.3s

Algorithm

intervals

Results

12.5s	4864×	body	1280	valid
3.2s	1861×	body	640	valid
641.0ms	531×	body	320	valid
184.0ms	553×	body	80	valid
147.0ms	196×	body	160	valid

Details

sample568.0ms

simplify5.2s

prune8.0ms

localize33.0ms

rewrite26.0ms

series24.0ms

simplify2.3s

prune367.0ms

localize52.0ms

rewrite23.0ms

series24.0ms

simplify2.3s

prune434.0ms

localize45.0ms

rewrite23.0ms

series23.0ms

simplify4.9s

prune513.0ms

localize52.0ms

rewrite24.0ms

series24.0ms

simplify2.3s

prune362.0ms

regimes2.4s

bsearch0.0ms

simplify4.0ms

end0.0ms

sample17.3s

Profiling