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Subject: Faster, deeper and more of such...

Author: Ed Schröder

Date: 10:42:49 09/14/00


In the upcoming Rebel Century 3.0 I have implemented a little
statistic routine that reveals something about the nature of SEARCH
that could be important for the future of computer chess in the sense
that it says "something" one may expect in the near future because
of faster and faster PC's.

Research on this issue have already been done by Bob and Ernst and
it has made me curious so I have spend a little time on it. The
statistic shows 2 things:

a) number of fail-low's for each depth;
b) number of "changed moves" for each depth.

(a) is not so important as often fail-low's do not mean anything but I
wanted to know anyway.

(b) is extremely important as it shows for each depth how many times
Rebel changed its mind. As you can see in the below statistic the %
diminish and diminish the deeper Rebel goes.

How to read the overview:
- first column: iteration depth;
- second column: number of times the depth was reached;
- third column: number of fail-low's;
- fourth column: percentage of fail-low's;
- Fifth column: number of changed moves;
- Last column: percentage of changed moves;

SEARCH OVERVIEW
===============

1      4726         0 ( 0)        0 ( 0)
2      4726      1000 (21)     1889 (39)
3      4726       495 (10)     1468 (31)
4      4719       209 ( 4)     1085 (22)
5      4719       218 ( 4)     1222 (25)
6      4699       191 ( 4)     1139 (24)
7      4655       141 ( 3)      948 (20)
8      4572       109 ( 2)      837 (18)
9      4457        79 ( 1)      777 (17)
10      3998        86 ( 2)      644 (16)
11      3015        64 ( 2)      374 (12)
12      1904        55 ( 2)      204 (10)
13      1093        37 ( 3)       77 ( 7)
14       584        22 ( 3)       35 ( 5)
15       356        15 ( 4)       22 ( 6)
16       230         7 ( 3)        6 ( 2)
17       157         6 ( 3)        2 ( 1)
18       123         6 ( 4)        3 ( 2)
19        88         0 ( 0)        0 ( 0)
20        67         0 ( 0)        1 ( 1)
21        55         0 ( 0)        1 ( 1)
22        54         0 ( 0)        1 ( 1)
23        50         0 ( 0)        0 ( 0)
24        47         0 ( 0)        0 ( 0)
25        40         0 ( 0)        0 ( 0)
26        30         0 ( 0)        0 ( 0)
27        28         0 ( 0)        0 ( 0)
28        22         0 ( 0)        0 ( 0)
29        19         0 ( 0)        0 ( 0)
30        14         0 ( 0)        0 ( 0)
31        14         0 ( 0)        0 ( 0)
32        13         0 ( 0)        0 ( 0)
33        12         0 ( 0)        0 ( 0)
34        12         0 ( 0)        0 ( 0)
35        10         0 ( 0)        0 ( 0)
36        10         0 ( 0)        0 ( 0)
37        10         0 ( 0)        0 ( 0)
38        10         0 ( 0)        0 ( 0)
39        10         0 ( 0)        0 ( 0)
40         8         0 ( 0)        0 ( 0)
41         8         0 ( 0)        0 ( 0)
42         5         0 ( 0)        0 ( 0)
43         4         0 ( 0)        0 ( 0)
44         3         0 ( 0)        0 ( 0)
45         3         0 ( 0)        0 ( 0)
46         2         0 ( 0)        0 ( 0)
47         2         0 ( 0)        0 ( 0)
48         2         0 ( 0)        0 ( 0)
49         2         0 ( 0)        0 ( 0)
50         2         0 ( 0)        0 ( 0)
51         2         0 ( 0)        0 ( 0)
52         2         0 ( 0)        0 ( 0)
53         2         0 ( 0)        0 ( 0)
54         2         0 ( 0)        0 ( 0)
55         2         0 ( 0)        0 ( 0)
56         2         0 ( 0)        0 ( 0)
57         2         0 ( 0)        0 ( 0)
58         2         0 ( 0)        0 ( 0)
59         2         0 ( 0)        0 ( 0)
60         2         0 ( 0)        0 ( 0)

After iteration 19 one hardly sees any changes. One might wonder
if a doubling in speed is still good for 50-70 elo (as often said
here).

One thing that should be added to the overview is a division in
middle-game and end-game (I think).

The overview was created by playing a 40/40 auto232 match (about
50 games). Results are automatically kept so that a next auto232
match the statistic is automatically updated.

Also if you are playing your normal (manual) games or analyze positions
the statistic is maintained. It would be nice to see how the statistic
would look like after say 100,000 moves.

Ed




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