Somewhat contrived, but dust off your favorite race cube algorithm.
XGID=--ABBBBB-BB----bbbabbbb---:0:0:1:00:0:0:0:0:10
X:Player 1 O:Player 2
Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| O O O O | | O O O O |
| O O O | | O O O O |
| | | |
| | | |
| | | |
| |BAR| |
| | | |
| | | |
| | | |
| X X X | | X X X X |
| X X X | | X X X X X |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 90 O: 97 X-O: 0-0
Cube: 1
X on roll, cube action
Trice, Isight, Thorpe, and Kieth metrics all correctly calculate this as
a take, since 90 to 98 is a score well within the take region.
Of those, only Trice correctly says it's a double (not sure what the "modified" Keith count is that allegedly gets it right) But it's barely
a double according to the rollout. XGID=--ABBBBB-BB----bbbabbbb---:0:0:1:00:0:0:0:0:10
X:Player 1 O:Player 2
Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| O O O O | | O O O O |
| O O O | | O O O O |
| | | |
| | | |
| | | |
| |BAR| |
| | | |
| | | |
| | | |
| X X X | | X X X X |
| X X X | | X X X X X |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 90 O: 97 X-O: 0-0
Cube: 1
X on roll, cube action
Analyzed in Rollout
No double
Player Winning Chances: 71.79% (G:0.00% B:0.00%)
Opponent Winning Chances: 28.21% (G:0.00% B:0.00%)
Double/Take
Player Winning Chances: 71.79% (G:0.00% B:0.00%)
Opponent Winning Chances: 28.21% (G:0.00% B:0.00%)
Cubeless Equities: No Double=+0.436, Double=+0.871
Cubeful Equities:
No double: +0.681 (-0.007)
Double/Take: +0.688
Double/Pass: +1.000 (+0.312)
Best Cube action: Double / Take
Rollout:
1296 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
Confidence No Double: ± 0.003 (+0.678..+0.685)
Confidence Double: ± 0.004 (+0.684..+0.692)
Double Decision confidence: 99.5%
Take Decision confidence: 100.0%
Duration: 2 minutes 54 seconds
eXtreme Gammon Version: 2.10
You can see the Keith modifications that I'm referring to about 3/4ths of the way through this page. And yes, it gets it right.
http://bgonline.org/jf.html
You can see the Keith modifications that I'm referring to about 3/4ths of the way through this page. And yes, it gets it right.
http://bgonline.org/jf.html
On 9/26/2022 7:03 PM, Stick Rice wrote:
You can see the Keith modifications that I'm referring to about
3/4ths of the way through this page. And yes, it gets it right.
http://bgonline.org/jf.html
There's a lot to digest on that page, but my reading is that the short version of the "modified" Keith count is to expand the doubling window
for longer races. Am I missing something?
On 9/26/2022 7:03 PM, Stick Rice wrote:
You can see the Keith modifications that I'm referring to about 3/4ths of the way through this page. And yes, it gets it right.
http://bgonline.org/jf.htmlWhat other articles do you have with a URL of the form http://bgonline.org/SOMETHING.html ?
I know about http://bgonline.org/epc.html but don't remember
any others.
---
Tim Chow
Sysop: | Keyop |
---|---|
Location: | Huddersfield, West Yorkshire, UK |
Users: | 297 |
Nodes: | 16 (2 / 14) |
Uptime: | 14:49:07 |
Calls: | 6,667 |
Calls today: | 1 |
Files: | 12,216 |
Messages: | 5,336,683 |