Paquita wrote:Do I understand correctly that T&E is Trial and Error,
Yes
Paquita wrote:and that T&E(3) means three recursive steps of brute force are needed to solve it?
Not of brute force, but of T&E.
Paquita wrote:That does sound like a possible rating for hard puzzles.
T&E-depth is a universal rating for all the puzzles, not only the hard ones.
Paquita wrote:But if I am correct, only two puzzles of T&E(3) are now available? (Found by Mith).
Mith has now found 100,000s of them.
Paquita wrote:I would assume we do the T&E rating in addition to SER.
T&E-depth is a very broad classification. Each T&E level has many sub-levels:
T&E(1) is sub-divided by the levels of the B rating
T&E(2) is sub-divided by the levels of the BpB rating
More generally, for any n>0, T&E(n+1) is sub-divided by the T&E(Bp, n), p>0
As of now, all the known puzzles in T&E(3) are in T&E(B2, 2).
SER cuts through all the T&E levels and is largely unrelated to them, especially if you don't delete the uniqueness techniques from it.
When you're looking for hard puzzles, you have to decide which criterion you use. There's no "potential hardest"; that's pure BS; "hardest" is meaningful only wrt to some chosen rating.
The most remarkable result in the past year is the huge number of new puzzles that have been found after using T&E-depth instead of SER as the search criterion. Many of them are also hard wrt the SER, but not all.
Paquita wrote:As for the other approach, the expansion of puzzles by Singles, I do not quite grasp the concept yet. Can anyone explain what it is and how it can be used to rate puzzles?
It is related to generation, not to rating.
In vicinity search, instead of looking for neighbours of the minimal puzzles you have already found, first expand them by Singles, look for the neighbours of the expansions and then look for minimals of these neighbours. This produces many more minimals. The problem is, this produces minimals that have the same expansions, and that's why min-expands become more interesting than minimals.
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