Details

sample660.0ms

Algorithm

intervals

Results

462.0ms	149×	body	1280	valid
111.0ms	67×	body	640	valid
18.0ms	18×	body	320	valid
5.0ms	17×	body	80	valid
3.0ms	5×	body	160	valid

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	26	65
1	73	65
2	228	63
3	728	63
done	5000	63

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.0b

localize68.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
5.3b	(sin (/ (- phi1 phi2) 2.0))
5.3b	(sin (/ (- phi1 phi2) 2.0))

rewrite96.0ms

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))
33.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- phi1 phi2) 2.0))
21.0ms	(sin (/ (- phi1 phi2) 2.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- phi1 phi2) 2.0))
48.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify5.6s

Counts

52 → 52

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	64	508
1	147	504
2	581	452
3	2568	452
done	5000	452

prune838.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 23.6b

localize90.0ms

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))
5.3b	(sin (/ (- phi1 phi2) 2.0))

rewrite77.0ms

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:

19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
27.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- phi1 phi2) 2.0))

series205.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify5.5s

Counts

52 → 52

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	64	508
1	147	504
2	581	452
3	2568	452
done	5000	452

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 14.2b

localize117.0ms

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))

rewrite54.0ms

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))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series250.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify10.8s

Counts

52 → 52

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	34	508
1	77	504
2	302	452
3	1363	452
done	5000	452

prune1.1s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 14.2b

localize150.0ms

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))

rewrite70.0ms

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))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series216.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify11.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	34	508
1	77	504
2	302	452
3	1363	452
done	5000	452

prune858.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 14.2b

regimes4.0s

Accuracy

0% (0.4b remaining)

Error of 13.7b against oracle of 13.3b and baseline of 13.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	93
1	44	93
done	44	93

end0.0ms

sample19.8s

Algorithm

intervals

Results

14.4s	4731×	body	1280	valid
3.8s	1927×	body	640	valid
498.0ms	558×	body	320	valid
202.0ms	571×	body	80	valid
122.0ms	214×	body	160	valid
2.0ms	1×	body	640	nan