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Subject: Re: The King at Leiden

Author: John Merlino

Date: 12:05:10 05/22/03

Go up one level in this thread


On May 22, 2003 at 00:53:37, Stephen A. Boak wrote:

>On May 21, 2003 at 08:50:15, Uri Blass wrote:
>>
>>That tells us that testers were simply lazy at that time and did not try all
>>combination of changing one parameter.
>>
>>Ed found that reducing the chess knowledge of Rebel from 100 to 25 helps but no
>>tester was able to find it.
>>
>>Uri
>
>Let's think.
>
>How many combinations of single parameters & values are there?
>How many single parameters can be adjusted on CM9000?
>How many possible numerical settings on each parameter can be used?
>Multiply the figures.  Call this result 'A'.

I can answer that!

I'll even edit the ranges of ones that people would reasonably stay within:

Style values
Attacker/Defender = 200 values
Strength of Play = 1 value (nobody would change this below the maximum)
Material/Positional = 200 values
Randomness = 1 value (nobody would normally change this below the value of 0)
Selective Search = 16 values (normally, about half of these are used by testers)
Contempt for Draw = 21 values (I'll assume that testers would not use values
outside the range of -1.0 to 1.0)
Transposition Table = Using the CM GUI, depending on how much RAM the computer
has, a typical tester will have about 6 values to choose from)

Positional values
King Safety, Mobility, Pawn Weakness, Control of Center, Passed Pawns = 200
values for BOTH self and opponent, meaning there are 10 settings with 200 values
each in this section. And I have known users to test both the minimum and
maximum values, so the entire range of all of these is "valid".

Material values
All pieces, both self and opponent, literally have 150 values, although I don't
think any user would deviate more than 20% or so from the default. So, let's
approximately say:

Pawn = 5 values each
Knight = 12 values each
Bishop = 12 values each
Rook = 20 values each
Queen = 40 values each

So, 12 settings with 200 values each = 200^12 = ((2 x 10^2) ^ 12) =
(2^12 x 10^24) = appr. (4 x 10^27)

....

uh, do I need to go on?

Ok, fine. The remainder of the values are (16 x 21 x 6 x 5 x 5 x 12 x 12 x 12 x
12 x 20 x 20 x 40 x 40) = (6 x 10^14)

so

(4 x 10^27) x (6 x 10^14) is a really frickin' big number....

jm



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