Details

sample592.0ms

Algorithm

intervals

Results

422.0ms	162×	body	1280	valid
106.0ms	50×	body	640	valid
20.0ms	19×	body	320	valid
5.0ms	18×	body	80	valid
5.0ms	7×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

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

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.2b

localize53.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite59.0ms

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))
25.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series248.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
76.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (39.0ms)

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

prune658.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.7b

localize81.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite98.0ms

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:

20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series217.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
72.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.8s

Counts

52 → 52

Iterations

Useful iterations: 2 (22.0ms)

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

prune811.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 25.7b

localize69.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite51.0ms

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:

18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series213.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (28.0ms)

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

prune837.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.7b

localize48.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
7.4b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite52.0ms

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))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series164.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.0s

Counts

65 → 65

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	63	773
1	113	626
2	235	586
3	574	586
4	2250	586
done	5000	577

prune576.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 25.7b

regimes1.8s

Accuracy

0% (0.5b remaining)

Error of 24.6b against oracle of 24.1b and baseline of 24.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	70
1	43	70
done	43	70

end0.0ms

sample19.1s

Algorithm

intervals

Results

12.2s	4673×	body	1280	valid
4.4s	1979×	body	640	valid
1.6s	565×	body	320	valid
166.0ms	612×	body	80	valid
152.0ms	173×	body	160	valid