BitChanger Busy beaver
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Counting instructions
Both }
and <
count as 1 instruction.
Both entering and skipping a [
count as 1 instruction.
Every time reach a ]
we either skip past it counting 1 instruction or we jump directly after the matching [
also counting 1 instruction.
Confirmed optimal
These are confirmed to be the best for lengths 1-14. Time' and Program' count ]
as two steps instead (jump to [
, followed by [
itself.)
length | Time | Program | Time' | Program' |
---|---|---|---|---|
0 | 0 |
|
0 |
|
1 | 1 | } |
1 | }
|
2 | 2 | }} |
2 | }}
|
3 | 3 | }}} |
3 | }}}
|
4 | 4 | }}}} |
4 | }}}}
|
5 | 5 | }}}}} |
6 | }<[}]
|
6 | 8 | }}<[<] |
10 | }}<[<]
|
7 | 11 | }}}<[<] |
14 | }}}<[<]
|
8 | 14 | }}}}<[<] |
18 | }}}}<[<]
|
9 | 17 | }}}}}<[<] |
22 | }}}}}<[<]
|
10 | 22 | }}}}<[}<<] |
26 | }}}}}}<[<]
|
11 | 27 | }}}}}<[}<<] |
35 | }}}<[[<]}}]
|
12 | 36 | }}}}<[[<]}}] |
47 | }}}}<[[<]}}]
|
13 | 45 | }}}}}<[[<]}}] |
59 | }}}}}<[[<]}}]
|
14 | 58 | }<[}}<<<[<]}}] |
71 | }}}}}}<[[<]}}]
|
See BitChanger Busy beaver/Proof for details.
Longer lengths
}}}}<[}[}<}]}<[}[}<}]}<[}[}<}]}<[<]}<<]}<<] 43 characters
originally from
>+>+>+>+[+>[>]+[+>[>]+[+>[>]+[<]+<]+<]+<]