Details

sample563.0ms

Algorithm

intervals

Results

404.0ms	156×	body	1280	valid
95.0ms	59×	body	640	valid
25.0ms	22×	body	320	valid
5.0ms	17×	body	80	valid
2.0ms	3×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	170	65
4	315	65
5	556	65
6	1459	65
7	4884	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))

rewrite24.0ms

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

series28.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify713.0ms

Counts

44 → 44

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	174	396
3	320	396
4	623	396
5	1491	396
done	5001	396

prune381.0ms

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))

rewrite24.0ms

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 (/ (- phi1 phi2) 2.0))

series25.0ms

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))

simplify726.0ms

Counts

44 → 44

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	174	396
3	320	396
4	623	396
5	1491	396
done	5001	396

prune441.0ms

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

localize46.0ms

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))

rewrite24.0ms

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))

series25.0ms

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))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify1.2s

Counts

44 → 44

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	92	396
3	165	396
4	317	396
5	753	396
6	2941	396
done	5001	396

prune531.0ms

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))

rewrite25.0ms

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))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series25.0ms

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))

simplify677.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	59	711
1	113	574
2	246	530
3	601	530
4	2007	530
done	5001	530

prune378.0ms

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

sample17.4s

Algorithm

intervals

Results

12.7s	4864×	body	1280	valid
3.1s	1861×	body	640	valid
618.0ms	531×	body	320	valid
183.0ms	553×	body	80	valid
149.0ms	196×	body	160	valid

Details

sample563.0ms

simplify2.3s

prune8.0ms

localize33.0ms

rewrite24.0ms

series28.0ms

simplify713.0ms

prune381.0ms

localize52.0ms

rewrite24.0ms

series25.0ms

simplify726.0ms

prune441.0ms

localize46.0ms

rewrite24.0ms

series25.0ms

simplify1.2s

prune531.0ms

localize52.0ms

rewrite25.0ms

series25.0ms

simplify677.0ms

prune378.0ms

regimes2.4s

bsearch0.0ms

simplify4.0ms

end0.0ms

sample17.4s

Profiling