Details

sample267.0ms

Algorithm

intervals

Results

186.0ms	157×	body	1280	valid
37.0ms	52×	body	640	valid
8.0ms	18×	body	320	valid
3.0ms	24×	body	80	valid
2.0ms	5×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	186	63
4	371	63
5	700	63
6	1587	63
done	5001	63

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.2b

localize34.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- phi1 phi2) 2.0))
4.2b	(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))

series155.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- phi1 phi2) 2.0))
38.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify2.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	64	508
1	111	504
2	190	452
3	354	452
4	757	452
5	1862	452
done	5000	452

prune492.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 21.8b

localize51.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- phi1 phi2) 2.0))

rewrite42.0ms

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 (/ (- lambda1 lambda2) 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))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify2.6s

Counts

52 → 52

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	64	508
1	111	504
2	190	452
3	354	452
4	757	452
5	1862	452
done	5000	452

prune688.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.5b

localize48.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 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:

13.0ms	(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))

series152.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.7s

Counts

52 → 52

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	189	452
4	394	452
5	940	452
6	2827	452
done	5000	452

prune640.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 13.4b

localize49.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
6.3b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `div-sub` `log-pow` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 48

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify3.2s

Counts

60 → 60

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	62	628
1	97	585
2	158	526
3	284	526
4	576	526
5	1428	526
6	4166	526
done	5000	526

prune536.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 13.4b

regimes2.7s

Accuracy

0% (0.4b remaining)

Error of 14.2b against oracle of 13.8b and baseline of 14.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	94
1	44	94
done	44	94

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.8s	4755×	body	1280	valid
1.4s	1932×	body	640	valid
257.0ms	541×	body	320	valid
78.0ms	573×	body	80	valid
61.0ms	201×	body	160	valid
2.0ms	3×	body	640	nan
0.0ms	1×	body	160	nan