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Age: 46
Joined: 07 Jun 2014
Posts: 391
Location: Beuern


PostPosted: 27.05.2019, 22:03    (No subject) Reply with quoteBack to top

Die momentane RakeSearch-Anwendung wird alsbald die Arbeit beendet haben.
Es ist allerdings bereits eine neue in Vorbereitung, die eigentlich für eine ziemlich große und ausführliche Suche gedacht wäre, aber da sie viel zu lange dauern könnte, wird nur ein Teil gestartet:
Rake search of diagonal Latin squares: Future of the RakeSearch project
Dear folks!

Two days ago the project reached a milestone of 95% of completion. As part of the current search, it remains to process about 1100 000 workunits. In the next few days, we plan to generate one or several bunches of workunits for new search - in space of diagonal Latin squares of rank 10. Initially, tasks only under Linux x86-64 platform will be available, if their processing is successful, the application for Windows will be released.

A few words about the new search. We expect that an typical task will process more squares for the same time (on average). In the application for a new search, we implement some optimizations and it will be significantly faster than default application for search in space of rank 9. Another interesting thing - the search space, itself. We increase a square rank by only one stage - from 9 to 10. Currently, for workunit names we use a format R9_<8> (R9_022248939 for example) and first digit from tuple - always 0. But for the naming of workunits for a new search, if we try to count all of them, we must use a format like _0000000000000001! (We don't know the number of workunits for full search in space of rank 10 precisely, but rough estimate - about 160 millions of millions of workunits). The current search comprises 23 000 000 workunits, but the full search in rank 10 space targets about 7 000 000 searches of rank 9! Of course, we cannot perform a search like this. Even with new Ryzens. :)

Also, today we do not know whether or not "permutational" orthogonal diagonal Latin squares of rank 10 exist.

For the reasons listed below, we plan to perform a search over a tiny part of entire search space - may be 1 million of workunits, may be larger, but we don't want to run an endless search without any results, because many other interesting and useful projects exist.

Thank you for attention and participation!

Life is Science, and Science rules. To the universe and beyond
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