Checker plays with no equity difference are already not counted as decisions. Do you mean guaranteed to have a cash post roll given that your roll is played correctly? Is there still a fishing for a decision issue since could roll until the cube is no longer an optional double?
How are you defining backgammon saving and gammon saving moves? For example if a player plays the backgammon saving move in the following position would you want to give them an error and not even a decision?
      
 
        
 | | White is Player 2
score: 0
pip: 12 | | 13 point match | pip: 78
score: 0
Blue is Player 1 |
|
| XGID=-BBBBBBAA------------Ad---:2:1:1:21:0:0:0:13:10 |
| Blue to play 21 |
| 1. | Rollout1 | 8/6 7/6 | eq: -1.831 |
| Player:
Opponent: | 0.00% (G:0.00% B:0.00%)
100.00% (G:77.58% B:11.11%) | Conf.: ± 0.000 (-1.831...-1.831) - [100.0%]
Duration: 0.1 second |
|
| 2. | Rollout1 | 21/18 | eq: -1.847 (-0.016) |
| Player:
Opponent: | 0.00% (G:0.00% B:0.00%)
100.00% (G:86.76% B:0.00%) | Conf.: ± 0.000 (-1.848...-1.847) - [0.0%]
Duration: 0.1 second |
|
| 3. | XG Roller++ | 21/19 2/1 | eq: -1.945 (-0.114) |
| Player:
Opponent: | 0.00% (G:0.00% B:0.00%)
100.00% (G:89.28% B:11.11%) | |
|
| 4. | 4-ply | 21/19 7/6 | eq: -1.909 (-0.078) |
| Player:
Opponent: | 0.00% (G:0.00% B:0.00%)
100.00% (G:85.61% B:11.11%) | |
|
| 5. | 4-ply | 21/20 8/6 | eq: -1.913 (-0.083) |
| Player:
Opponent: | 0.00% (G:0.00% B:0.00%)
100.00% (G:86.05% B:11.11%) | |
|
| |
1 1296 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.10, MET: Rockwell-Kazaross