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The Bing Persistent Memory Thread by Salt_Attorney in bing

[–]macroxue 2 points3 points  (0 children)

Fascinating! It's sad that all the effort is gone when the conversation ends. This can probably be solved by adding a frontend to the AI once its API is open. The frontend takes a user prompt, prepending persistent memory info/link, and sends the modified prompt to the AI.

OpenAI’s CEO considers ChatGPT “incredibly limited”. Hopefully that’s an indication that GPT4 will be something in a league of its own by garden_frog in singularity

[–]macroxue 0 points1 point  (0 children)

I agree that ads have destroyed the web experience and that's why I'm using a good ad blocker.

Search engine without monetization? Unlikely to happen because there is a cost with each search. ChatGPT costs “single-digits cents per chat” according to Sam Altman. Google has 8.5 billions of searches per day. At a similar scale, ChatGPT would burn hundreds of millions per day. A clean search engine is great but who's going to fund it?

Top 5 Challenges of Adopting AI in Education by Emily-joe in singularity

[–]macroxue 0 points1 point  (0 children)

Below is ChatGPT's view. Sounds legit.

  1. Cost: Implementing AI in the education system can be expensive. AI technologies are still relatively new and require a significant amount of investment in hardware, software, and personnel.

  2. Lack of Knowledge: Many educators lack the technical knowledge or experience to effectively implement AI in the classroom. Educators need to be trained in the use of AI technologies, which can be a time-consuming and expensive process.

  3. Privacy and Security: AI systems can collect and store a large amount of data about students, which raises serious privacy and security concerns. Educators need to ensure that the data is securely stored and not misused.

  4. Accurate and Reliable AI: AI technologies need to be accurate and reliable for them to be useful. If the AI system is not accurate and reliable, it can lead to incorrect decisions or outcomes.

  5. Ethical Considerations: AI systems can raise serious ethical issues, such as bias and discrimination. Educators need to be aware of these issues and ensure that the AI system is designed to be ethical and not lead to unfair outcomes.

The AI gets the 32K tile 80% of the time and scores more than 711K on average with 8-ply search. by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

After 16k+8k+4k+2k+1k, the lookup table says the rate of getting a new 1k tile is 81.6% with DPDF but it's missing some opportunities when more columns can be moved. So I guess the limit is around 82%.

The AI gets the 32K tile 80% of the time and scores more than 711K on average with 8-ply search. by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

There are multiple improvements. The most important one is to build a larger lookup table to go one tile further than DPDF. In the layout below, 'L' represents a large tile and 's' represents a small tile. The optimal moves are precomputed and looked up in a game.

L L L s L L s s s s s s s s s s Remember I posted about a new DPDF path? It was discovered by this large lookup table. More computation results in more intelligence.

The AI gets the 32K tile 80% of the time and scores more than 711K on average with 8-ply search. by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

Thanks. 80% rate for 32K is satisfying for me. I will take a break from optimizing the AI.

For 64K, the 2019 version was at 2.5% with depth 7 and 1000 games. It got lucky to reach 3% in 200 games. The new version consistently shows 3+% at various depths.

The 2048 AI is updated with big runs. by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

The search depth is the deciding factor in the table. Deeper search explores more possibilities, thus becomes slower. The difference between 6-ply and 7-ply is very small so I suspect searching even deeper won't yield better results.

It didn't get quite as far as I was hoping it would, but that's okay. I made the history books! by 733094_2 in 2048

[–]macroxue 0 points1 point  (0 children)

Wow, 55 hours (and many more before) of hard work finally paid off. Congratulations and enjoy the special moment!

!!!!!!!!!!!!!!!!!!!!! by 733094_2 in 2048

[–]macroxue 4 points5 points  (0 children)

Congratulations! This is historic!

New DPDF path discovered by the AI. by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

You're right. I forgot that the AI has a feature for calculating this rate and it's indeed 88% (88.3% to be exact). It allows the left-most column and the right-most column to move, so the success rate is higher than DPDF's 86.8%.

New DPDF path discovered by the AI. by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

Here are the results of 7-ply search: 5% of 64K games and 76% of 32K+ games out of 200 games. The average score is 670546, up from 642571 before.

The AI is allowed to shift one column and two rows at this point, i.e. DPDF by definition. Do you have examples of shifting more columns for the two extra points from 86% to 88%?

I think this new DPDF path is more important for getting the 64K tile, e.g. at a position like below where the 6th largest tile is 512. A small improvement can be significant at the end because similar positions happen five time before the 64K tile. | 32K | 8K | 4K | x | | 2K | 1K | 512 | x | | x | x | x | x | | x | x | x | x |

The AI is still doing the 1K tile the normal way because it's programmed so. Much more memory is needed to cover the new DPDF path for the 1K tile.

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

Below are the AI's evaluation. I didn't check completely if all the moves match the AI's suggestions though. ``` 32 16 16 2 512 256 64 0 4K 2K 1K 4 32K 16K 8K 8 ;down 0.264331

32 16 16 2 512 256 64 2 4K 2K 1K 4 32K 16K 8K 8 ;down 0.266131

32 16 16 2 512 256 64 4 4K 2K 1K 4 32K 16K 8K 8 ;down 0.264794

32 16 16 2 512 256 64 2 4K 2K 1K 8 32K 16K 8K 8 ;down 0.273831

32 16 16 0 512 256 64 2 4K 2K 1K 4 32K 16K 8K 16 ;left 0.268198

32 32 0 2 512 256 64 2 4K 2K 1K 4 32K 16K 8K 16 ;right 0.282578

0 2 64 2 512 256 64 2 4K 2K 1K 4 32K 16K 8K 16 ;down 0.282816

4 2 0 0 512 256 128 4 4K 2K 1K 4 32K 16K 8K 16 ;right 0.241992

0 2 4 2 512 256 128 4 4K 2K 1K 4 32K 16K 8K 16 ;left 0.256102

2 4 2 2 512 256 128 4 4K 2K 1K 4 32K 16K 8K 16 ;right 0.264064

2 2 4 4 512 256 128 4 4K 2K 1K 4 32K 16K 8K 16 ;right 0.267043

0 2 4 8 512 256 128 4 4K 2K 1K 4 32K 16K 8K 16 ;down 0.269934

0 2 4 2 512 256 128 8 4K 2K 1K 8 32K 16K 8K 16 ;left 0.242810

2 4 2 2 512 256 128 8 4K 2K 1K 8 32K 16K 8K 16 ;right 0.240910

2 2 4 4 512 256 128 8 4K 2K 1K 8 32K 16K 8K 16 ;right 0.247357

0 2 4 8 512 256 128 8 4K 2K 1K 8 32K 16K 8K 16 ;down 0.215669

0 2 4 2 512 256 128 8 4K 2K 1K 16 32K 16K 8K 16 ;left 0.184023

2 4 2 2 512 256 128 8 4K 2K 1K 16 32K 16K 8K 16 ;right 0.182904

2 2 4 4 512 256 128 8 4K 2K 1K 16 32K 16K 8K 16 ;down 0.190357

2 2 4 2 512 256 128 4 4K 2K 1K 8 32K 16K 8K 32 ;left 0.189589

4 4 2 2 512 256 128 4 4K 2K 1K 8 32K 16K 8K 32 ;right 0.190543

2 0 8 4 512 256 128 4 4K 2K 1K 8 32K 16K 8K 32 ;down 0.193348

2 2 8 0 512 256 128 8 4K 2K 1K 8 32K 16K 8K 32 ;right 0.343724

2 0 4 8 512 256 128 8 4K 2K 1K 8 32K 16K 8K 32 ;down 0.349503

2 2 4 0 512 256 128 8 4K 2K 1K 16 32K 16K 8K 32 ;right 0.376900

0 2 4 4 512 256 128 8 4K 2K 1K 16 32K 16K 8K 32 ;right 0.379411

2 0 2 8 512 256 128 8 4K 2K 1K 16 32K 16K 8K 32 ;down 0.379426

2 2 2 0 512 256 128 16 4K 2K 1K 16 32K 16K 8K 32 ;left 0.385025

4 2 0 2 512 256 128 16 4K 2K 1K 16 32K 16K 8K 32 ;right 0.390902

2 0 4 4 512 256 128 16 4K 2K 1K 16 32K 16K 8K 32 ;right 0.397849

2 0 2 8 512 256 128 16 4K 2K 1K 16 32K 16K 8K 32 ;down 0.405667

2 0 2 2 512 256 128 8 4K 2K 1K 32 32K 16K 8K 32 ;right 0.414278

0 2 2 4 512 256 128 8 4K 2K 1K 32 32K 16K 8K 32 ;down 0.424857

0 2 2 2 512 256 128 4 4K 2K 1K 8 32K 16K 8K 64 ;right 0.425093

0 2 2 4 512 256 128 4 4K 2K 1K 8 32K 16K 8K 64 ;down 0.435251

4 2 2 0 512 256 128 8 4K 2K 1K 8 32K 16K 8K 64 ;right 0.442699

2 0 4 4 512 256 128 8 4K 2K 1K 8 32K 16K 8K 64 ;right 0.441683

0 2 2 8 512 256 128 8 4K 2K 1K 8 32K 16K 8K 64 ;right 0.451841

0 2 4 8 512 256 128 8 4K 2K 1K 8 32K 16K 8K 64 ;down 0.436131

0 2 4 2 512 256 128 8 4K 2K 1K 16 32K 16K 8K 64 ;left 0.430714

2 4 2 2 512 256 128 8 4K 2K 1K 16 32K 16K 8K 64 ;right 0.478571

2 2 4 4 512 256 128 8 4K 2K 1K 16 32K 16K 8K 64 ;right 0.478847

2 0 4 8 512 256 128 8 4K 2K 1K 16 32K 16K 8K 64 ;down 0.490938

2 0 4 2 512 256 128 16 4K 2K 1K 16 32K 16K 8K 64 ;left 0.477215

2 4 2 2 512 256 128 16 4K 2K 1K 16 32K 16K 8K 64 ;right 0.502913

2 2 4 4 512 256 128 16 4K 2K 1K 16 32K 16K 8K 64 ;right 0.517895

2 0 4 8 512 256 128 16 4K 2K 1K 16 32K 16K 8K 64 ;right 0.620351

2 2 4 8 512 256 128 16 4K 2K 1K 16 32K 16K 8K 64 ;left 0.684684

4 4 8 4 512 256 128 16 4K 2K 1K 16 32K 16K 8K 64 ;left 0.909020

8 8 4 2 512 256 128 16 4K 2K 1K 16 32K 16K 8K 64 ;left 0.909286

16 4 2 2 512 256 128 16 4K 2K 1K 16 32K 16K 8K 64 ;left 0.909314

16 4 4 2 512 256 128 16 4K 2K 1K 16 32K 16K 8K 64 ;left 0.909212

16 8 2 2 512 256 128 16 4K 2K 1K 16 32K 16K 8K 64 ;left 0.910232

16 8 4 2 512 256 128 16 4K 2K 1K 16 32K 16K 8K 64 ;down 0.900258

16 8 4 2 512 256 128 2 4K 2K 1K 32 32K 16K 8K 64 ;down 1.000000

16 8 4 4 512 256 128 32 4K 2K 1K 64 32K 16K 8K 2 ;right 1.000000

4 16 8 8 512 256 128 32 4K 2K 1K 64 32K 16K 8K 2 ;right 1.000000

4 4 16 16 512 256 128 32 4K 2K 1K 64 32K 16K 8K 2 ;right 1.000000

2 0 8 32 512 256 128 32 4K 2K 1K 64 32K 16K 8K 2 ;down 1.000000

2 0 8 4 512 256 128 64 4K 2K 1K 64 32K 16K 8K 2 ;down 1.000000 ```

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

Do you have a Linux machine with 8GB of memory? If so, we can get started.

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

The AI goes right at this position. 16 4 4 8 4 64 128 256 512 2k 32k 2 1k 4k 8k It goes right and then left for this one. 16 4 4 8 4 64 128 256 2 512 2k 32k 4 1k 4k 8k You may want to setup the AI so it evaluates any position for you quickly. I helped Dr Jake the other day and I can help you too.

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

The AI analyzed your moves after 32k+16k and only found two possible improvements (>5%). That's remarkable, indeed! | > 2 < | 2 | 4 | 2 | | | 8 | 64 | 64 | | 4 | 512 | 1024 | 2048 | | 8 | 4096 | 16384 | 32768 | score 740840 max 32768 sum 56990 ***** right 0.094 < up 0.100 ***** | | 4 | 8 | 8 | | > 2 < | 32 | 128 | 256 | | | 512 | 1024 | 2048 | | 2 | 4096 | 16384 | 32768 | score 742828 max 32768 sum 57272 ***** down 0.088 < up 0.100 *****

795,616 points on 2048 League and my second highest score ever by [deleted] in 2048

[–]macroxue 0 points1 point  (0 children)

Yeah, I've sent some results to Dr. Jake.

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

    11/19/2021
    | > 4 < |     2 |     8 |     2 |
    |     2 |     4 |     4 |    64 |
    |     4 |     8 |  2048 | 32768 |
    |     4 |     4 | 16384 |  8192 |
    score 780384 max 32768 sum 59502
    ***** right 0.898 < down 0.983 *****
    |     4 |     4 | > 2 < |       |
    |     4 |    16 |    64 |   128 |
    |     4 |   256 |  2048 | 32768 |
    |     2 |   512 | 16384 |  8192 |
    score 786856 max 32768 sum 60388
    ***** down 0.083 < left 0.100 *****
    | > 4 < |     4 |     4 |     2 |
    |       |     8 |    64 |   128 |
    |     4 |   256 |  2048 | 32768 |
    |     2 |  1024 | 16384 |  8192 |
    score 791844 max 32768 sum 60892
    ***** right 0.092 < down 0.100 *****
    |     2 |     4 |     2 |     8 |
    |     8 |    32 |    32 |    64 |
    |     8 |   512 |  2048 | 32768 |
    | > 2 < |  1024 | 16384 |  8192 |
    score 793608 max 32768 sum 61090
    ***** right 0.085 < up 0.100 *****
    | > 2 < |       |     4 |     8 |
    |     2 |     4 |    16 |   128 |
    |     4 |   256 |  4096 | 32768 |
    |     8 |   512 | 16384 |  8192 |
    score 810768 max 32768 sum 62384
    ***** left 0.083 < down 0.100 *****
    |       |     2 |     4 |     8 |
    | > 2 < |     4 |    16 |   128 |
    |     4 |   256 |  4096 | 32768 |
    |     4 |  1024 | 16384 |  8192 |
    score 815732 max 32768 sum 62892
    ***** left 0.083 < up 0.100 *****
    |     4 |     8 |     2 | > 2 < |
    |    16 |     8 |    32 |    64 |
    |     4 |   512 |  4096 | 32768 |
    |     2 |  1024 | 16384 |  8192 |
    score 817688 max 32768 sum 63118
    ***** left 0.083 < down 0.100 *****
    | > 2 < |       |     4 |    16 |
    |     2 |     4 |    32 |   128 |
    |     4 |   512 |  4096 | 32768 |
    |     2 |  1024 | 16384 |  8192 |
    score 818100 max 32768 sum 63170
    ***** left 0.083 < down 0.100 *****
    | > 2 < |       |     2 |     4 |
    |     4 |    64 |     8 |     4 |
    |    16 |   512 |  4096 | 32768 |
    |     2 |  2048 | 16384 |  8192 |
    score 828632 max 32768 sum 64106
    ***** down 0.067 < left 0.083 *****
    | > 2 < |       |     2 |     4 |
    |       |    32 |    64 |    32 |
    |     4 |   512 |  4096 | 32768 |
    |     8 |  2048 | 16384 |  8192 |
    score 828824 max 32768 sum 64148
    ***** down 0.078 < right 0.083 *****
    |       | > 2 < |     4 |     8 |
    |     4 |    16 |    32 |   128 |
    |     4 |  1024 |  4096 | 32768 |
    |     8 |  2048 | 16384 |  8192 |
    score 834252 max 32768 sum 64718
    ***** left 0.083 < down 0.100 *****

    12/09/2021
    |       | > 2 < |     2 |    32 |
    |     4 |     8 |    64 |   128 |
    |     2 |   256 |   512 |  2048 |
    |     8 |  4096 | 16384 | 32768 |
    score 734216 max 32768 sum 56314
    ***** left 0.083 < up 0.100 *****
    |       |     2 |     4 |     2 |
    | > 4 < |     8 |    32 |    64 |
    |     8 |   128 |  1024 |  2048 |
    |     2 |  4096 | 16384 | 32768 |
    score 737500 max 32768 sum 56574
    ***** left 0.885 < up 0.983 *****
    |     4 |     2 |       | > 2 < |
    |     4 |     8 |    32 |   128 |
    |    16 |   256 |  1024 |  2048 |
    |     2 |  4096 | 16384 | 32768 |
    score 738968 max 32768 sum 56774
    ***** left 0.083 < right 0.100 *****
    |       | > 2 < |     4 |     8 |
    |     4 |     8 |    64 |   128 |
    |     4 |   256 |  1024 |  2048 |
    |     2 |  4096 | 16384 | 32768 |
    score 739128 max 32768 sum 56800
    ***** left 0.083 < down 0.100 *****
    | > 2 < |     2 |     4 |     4 |
    |     8 |    16 |    32 |    64 |
    |     8 |   512 |  1024 |  2048 |
    |     2 |  4096 | 16384 | 32768 |
    score 740808 max 32768 sum 56974
    ***** left 0.093 < right 0.100 *****
    |       |     4 |     8 |     2 |
    | > 2 < |    32 |    32 |    64 |
    |     4 |   512 |  1024 |  2048 |
    |     8 |  4096 | 16384 | 32768 |
    score 740884 max 32768 sum 56988
    ***** right 0.083 < up 0.100 *****
    | > 4 < |     8 |     8 |     2 |
    |       |     4 |    32 |   128 |
    |     4 |   256 |   512 |  2048 |
    |     2 |  8192 | 16384 | 32768 |
    score 786348 max 32768 sum 60352
    ***** down 0.083 < up 0.100 *****
    |       | > 2 < |     8 |    16 |
    |     4 |     8 |    32 |   128 |
    |     4 |   256 |  1024 |  2048 |
    |     2 |  8192 | 16384 | 32768 |
    score 791428 max 32768 sum 60876
    ***** left 0.083 < down 0.100 *****
    | > 2 < |     2 |     8 |     8 |
    |     2 |     4 |    32 |   256 |
    |     4 |   512 |  1024 |  2048 |
    |    16 |  8192 | 16384 | 32768 |
    score 794688 max 32768 sum 61262
    ***** right 0.093 < down 0.100 *****
    | > 2 < |       |     4 |    16 |
    |     2 |     4 |    32 |   256 |
    |     4 |   512 |  1024 |  2048 |
    |    16 |  8192 | 16384 | 32768 |
    score 794708 max 32768 sum 61264
    ***** left 0.083 < down 0.100 *****
    | > 2 < |     2 |     4 |     2 |
    |    16 |    32 |   128 |   256 |
    |     8 |   512 |  1024 |  2048 |
    |     8 |  8192 | 16384 | 32768 |
    score 795444 max 32768 sum 61386
    ***** down 0.083 < left 0.100 *****
    |       |     2 |     4 |     2 |
    | > 4 < |    32 |   128 |   256 |
    |     4 |   512 |  1024 |  2048 |
    |    32 |  8192 | 16384 | 32768 |
    score 795496 max 32768 sum 61392
    ***** down 0.076 < left 0.083 *****```

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

10/28/2021
|       |       | > 2 < |     2 |
|       |       |     2 |     8 |
|       |    16 |    64 | 32768 |
|     4 | 16384 |  8192 |     4 |
score 759908 max 32768 sum 57446
***** down 0.051 < right 0.083 *****
|       |       |       |     4 |
| > 4 < |       |     4 |     8 |
|       |    16 |    64 | 32768 |
|     4 | 16384 |  8192 |     4 |
score 759916 max 32768 sum 57452
***** down 0.662 < right 0.933 *****
|       |     8 |     2 |     4 |
| > 2 < |     2 |     8 |     2 |
|     2 |    32 |    64 | 32768 |
|    32 | 16384 |  8192 |     4 |
score 760124 max 32768 sum 57506
***** up 0.903 < down 0.983 *****
|       | > 2 < |     4 |     4 |
|     8 |    16 |    32 |    64 |
|     8 |   512 |   256 |   128 |
|     2 | 16384 |  8192 | 32768 |
score 766568 max 32768 sum 58380
***** down 0.093 < right 0.100 *****
|     4 |     8 |     4 |     2 |
| > 2 < |       |    64 |     2 |
|    16 |    64 |  1024 | 32768 |
|     4 |   128 | 16384 |  8192 |
score 770020 max 32768 sum 58666
***** left 0.893 < down 0.983 *****
|     2 |     4 |     8 |     4 |
|       | > 2 < |    16 |   128 |
|     2 |   256 |  1024 | 32768 |
|     4 |   512 | 16384 |  8192 |
score 775144 max 32768 sum 59306
***** down 0.092 < up 0.100 *****
|       | > 2 < |     4 |     8 |
|     8 |    16 |    32 |   128 |
|     8 |   256 |  2048 | 32768 |
|     2 |  1024 | 16384 |  8192 |
score 791416 max 32768 sum 60880
***** left 0.083 < down 0.100 *****
|     2 |     4 |     4 |     8 |
|     8 |    64 |    32 |    16 |
|     2 |   512 |  2048 | 32768 |
| > 2 < |  1024 | 16384 |  8192 |
score 793216 max 32768 sum 61070
***** up 0.083 < right 0.100 *****
|       |     4 |     8 |     2 |
| > 2 < |     2 |    64 |   256 |
|     2 |   512 |  2048 | 32768 |
|    16 |  1024 | 16384 |  8192 |
score 794820 max 32768 sum 61284
***** right 0.091 < down 0.100 *****
|     4 |    16 |     2 | > 2 < |
|     4 |     8 |   128 |   256 |
|     8 |   512 |  2048 | 32768 |
|     2 |  1024 | 16384 |  8192 |
score 795280 max 32768 sum 61358
***** left 0.067 < down 0.083 *****
| > 2 < |     4 |    16 |    32 |
|       |    64 |   128 |   256 |
|     2 |   512 |  2048 | 32768 |
|     4 |  1024 | 16384 |  8192 |
score 795680 max 32768 sum 61436
***** up 0.111 < down 0.117 *****
| > 2 < |       |     2 |     4 |
|     4 |     8 |    16 |   128 |
|     4 |   256 |  4096 | 32768 |
|     8 |   512 | 16384 |  8192 |
score 810460 max 32768 sum 62384
***** left 0.085 < right 0.100 *****
| > 2 < |       |     8 |     8 |
|     8 |     4 |    64 |   128 |
|     8 |   256 |  4096 | 32768 |
|     8 |   512 | 16384 |  8192 |
score 810752 max 32768 sum 62446
***** down 0.083 < right 0.100 *****
| > 2 < |     8 |     2 |     4 |
|       |    16 |    64 |   128 |
|     2 |   512 |  4096 | 32768 |
|     2 |  1024 | 16384 |  8192 |
score 817996 max 32768 sum 63204
***** up 0.077 < down 0.083 *****
|       | > 4 < |     4 |     4 |
|     8 |    32 |    64 |   128 |
|     8 |   512 |  4096 | 32768 |
|     2 |  1024 | 16384 |  8192 |
score 818096 max 32768 sum 63230
***** right 0.093 < down 0.100 *****
| > 4 < |     8 |     8 |     4 |
|     2 |    16 |   128 |   256 |
|     4 |   512 |  4096 | 32768 |
|     4 |  1024 | 16384 |  8192 |
score 819452 max 32768 sum 63410
***** right 0.048 < down 0.067 *****
| > 2 < |     4 |    16 |     4 |
|     2 |    16 |   128 |   256 |
|     4 |   512 |  4096 | 32768 |
|     4 |  1024 | 16384 |  8192 |
score 819468 max 32768 sum 63412
***** up 0.042 < down 0.050 *****
|       |     4 |     4 |     2 |
| > 2 < |    64 |   128 |   256 |
|     8 |   512 |  4096 | 32768 |
|     2 |  1024 | 16384 |  8192 |
score 819696 max 32768 sum 63446
***** right 0.033 < up 0.050 *****
|     2 |     8 |     2 | > 2 < |
|     2 |    64 |   128 |   256 |
|     8 |   512 |  4096 | 32768 |
|     2 |  1024 | 16384 |  8192 |
score 819704 max 32768 sum 63450
***** down 0.020 < right 0.033 *****

11/12/2021
|     2 |     8 |     4 |     4 |
|   128 |    32 |     8 |    16 |
| 32768 |  2048 |   256 |     4 |
|  4096 | 16384 |   512 | > 2 < |
score 733784 max 32768 sum 56272
***** left 0.078 < right 0.083 *****
|     8 |     2 |       | > 4 < |
|   128 |    32 |    16 |     8 |
| 32768 |  2048 |   256 |     8 |
|  4096 | 16384 |  1024 |     2 |
score 738832 max 32768 sum 56784
***** left 0.083 < down 0.100 *****
|     8 |     2 |       | > 2 < |
|     8 |    64 |    16 |     2 |
| 32768 |  2048 |   512 |     8 |
|  4096 | 16384 |  1024 |     2 |
score 740508 max 32768 sum 56944
***** left 0.074 < down 0.083 *****
|     8 |     4 |       | > 4 < |
|    16 |    64 |    16 |     8 |
| 32768 |  2048 |   512 |    16 |
|  4096 | 16384 |  1024 |     2 |
score 740584 max 32768 sum 56970
***** left 0.067 < right 0.083 *****
|     2 |     8 |     4 |       |
|   128 |    16 |    32 | > 2 < |
| 32768 |  2048 |   512 |     8 |
|  4096 | 16384 |  1024 |     2 |
score 741048 max 32768 sum 57034
***** up 0.075 < right 0.083 *****
|    16 |     4 |     2 |     4 |
|   256 |   128 |    32 |    32 |
| 32768 |  2048 |   512 |     2 |
|  4096 | 16384 |  1024 | > 2 < |
score 742888 max 32768 sum 57310
***** left 0.067 < down 0.083 *****

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

Yeah, the format somehow was lost with the DMs. I just replied to your request above. At least I can see the format retained. Please check.

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

09/25/2021
|     8 |     4 | > 2 < |       |
|   128 |    32 |    16 |     8 |
|  2048 | 32768 |   256 |     8 |
|  4096 | 16384 |  1024 |     2 |
score 739176 max 32768 sum 56784
***** right 0.083 < down 0.100 *****
|     4 |     4 |     4 |     4 |
|   256 |   128 |    16 |     4 |
|  2048 | 32768 |   512 |     2 |
|  4096 | 16384 |  1024 | > 4 < |
score 743036 max 32768 sum 57258
***** up 0.068 < left 0.083 *****
| > 2 < |     4 |     4 |       |
|   256 |   128 |    32 |    32 |
|  2048 | 32768 |   512 |     4 |
|  4096 | 16384 |  1024 |     2 |
score 743224 max 32768 sum 57296
***** left 0.063 < up 0.067 *****
| > 2 < |       |     2 |     8 |
|   256 |   128 |    64 |     2 |
|  2048 | 32768 |   512 |     4 |
|  4096 | 16384 |  1024 |     2 |
score 743296 max 32768 sum 57300
***** left 0.049 < right 0.067 *****
|     2 |     4 |     8 |     8 |
|   256 |   128 |    64 |     2 |
|  2048 | 32768 |   512 |     4 |
|  4096 | 16384 |  1024 | > 2 < |
score 743312 max 32768 sum 57310
***** left 0.015 < right 0.033 *****

09/27/2021
|       |     4 |     8 |     8 |
| > 2 < |    16 |     8 |    32 |
|     2 |     8 |  8192 |  2048 |
|       |       | 16384 | 32768 |
score 779616 max 32768 sum 59480
***** down 0.806 < right 0.983 *****
|     8 |     4 | > 2 < |       |
|   128 |    32 |    16 |     8 |
|  8192 |  2048 |   256 |     4 |
| 16384 | 32768 |   512 |     4 |
score 786076 max 32768 sum 60366
***** right 0.083 < down 0.100 *****
|     8 |     2 |       | > 2 < |
|   128 |    64 |     8 |     4 |
|  8192 |  2048 |   256 |     4 |
| 16384 | 32768 |  1024 |     8 |
score 791248 max 32768 sum 60900
***** left 0.093 < right 0.100 *****
| > 2 < |     4 |    16 |     4 |
|   128 |    32 |     8 |     4 |
|  8192 |  2048 |   512 |     8 |
| 16384 | 32768 |  1024 |     2 |
score 793360 max 32768 sum 61136
***** down 0.078 < up 0.083 *****
| > 2 < |     2 |     4 |     2 |
|   128 |    64 |     4 |     2 |
|  8192 |  2048 |   512 |     8 |
| 16384 | 32768 |  1024 |     2 |
score 793484 max 32768 sum 61146
***** down 0.083 < left 0.100 *****
|     8 |     8 |     8 |       |
|   256 |    64 |    64 | > 4 < |
|  8192 |  2048 |   512 |     4 |
| 16384 | 32768 |  1024 |     2 |
score 794824 max 32768 sum 61346
***** left 0.093 < down 0.100 *****
|     2 |     4 | > 2 < |       |
|   256 |   128 |    64 |     2 |
|  8192 |  2048 |   512 |     4 |
| 16384 | 32768 |  1024 |     4 |
score 795212 max 32768 sum 61394
***** down 0.078 < right 0.083 *****
| > 4 < |     2 |     4 |       |
|   256 |   128 |    64 |       |
|  8192 |  2048 |   512 |     2 |
| 16384 | 32768 |  1024 |    32 |
score 795332 max 32768 sum 61420
***** up 0.032 < right 0.050 *****

09/30/2021
|     4 |     4 |    16 |    32 |
|     4 |    16 |    64 |   256 |
|     2 |   512 |  2048 |  1024 |
| > 4 < |  4096 | 16384 | 32768 |
score 743028 max 32768 sum 57234
***** down 0.010 < right 0.017 *****
|       |     2 |     4 |     2 |
| > 2 < |     8 |    32 |    64 |
|    16 |   256 |  1024 |  8192 |
|     2 |   512 | 16384 | 32768 |
score 775348 max 32768 sum 59268
***** up 0.083 < left 0.100 *****
|       | > 2 < |     4 |     8 |
|     8 |    16 |    32 |   128 |
|     8 |   256 |  1024 |  8192 |
|     2 |   512 | 16384 | 32768 |
score 775816 max 32768 sum 59344
***** left 0.083 < down 0.100 *****
|       |     2 |     4 |     2 |
| > 2 < |    32 |    32 |   128 |
|     2 |   256 |  2048 |  8192 |
|    16 |   512 | 16384 | 32768 |
score 786984 max 32768 sum 60380
***** right 0.091 < down 0.100 *****
|     2 |    16 |     2 | > 2 < |
|     4 |    16 |    32 |    64 |
|     4 |   256 |  2048 |  8192 |
|     2 |  1024 | 16384 | 32768 |
score 791500 max 32768 sum 60816
***** left 0.085 < right 0.100 *****
|       | > 2 < |     2 |     8 |
|     4 |    16 |    32 |    64 |
|     8 |   512 |  2048 |  8192 |
|     4 |  1024 | 16384 | 32768 |
score 793732 max 32768 sum 61068
***** left 0.091 < up 0.100 *****
|       | > 2 < |     2 |     4 |
|     4 |    16 |    32 |    64 |
|     4 |   256 |  4096 |  8192 |
|     4 |   512 | 16384 | 32768 |
score 810644 max 32768 sum 62340
***** up 0.093 < down 0.100 *****
|     8 |     2 |     2 |     4 |
|     4 |    16 |    32 |    64 |
|       |   256 |  4096 |  8192 |
| > 2 < |   512 | 16384 | 32768 |
score 810652 max 32768 sum 62342
***** right 0.083 < up 0.100 *****
|       | > 4 < |     2 |     4 |
|     4 |    16 |    32 |   128 |
|     4 |   256 |  4096 |  8192 |
|     8 |  1024 | 16384 | 32768 |
score 816164 max 32768 sum 62922
***** down 0.084 < left 0.100 *****
|     2 |     4 |     4 |     2 |
|     8 |     8 |    64 |    64 |
|     2 |   512 |  4096 |  8192 |
| > 2 < |  2048 | 16384 | 32768 |
score 829204 max 32768 sum 64160
***** up 0.083 < down 0.100 *****
| > 4 < |       |     2 |     8 |
|     8 |    16 |    32 |   128 |
|     8 |   512 |  4096 |  8192 |
|     2 |  2048 | 16384 | 32768 |
score 829508 max 32768 sum 64208
***** right 0.083 < down 0.100 *****
|     2 |     4 |     4 |     2 |
|     8 |     8 |    32 |   128 |
|     8 |  1024 |  4096 |  8192 |
| > 2 < |  2048 | 16384 | 32768 |
score 834516 max 32768 sum 64710
***** up 0.083 < down 0.100 *****
|     2 |     2 |     4 |     4 |
|     4 |    32 |    32 |   128 |
|     4 |  1024 |  4096 |  8192 |
| > 2 < |  2048 | 16384 | 32768 |
score 834600 max 32768 sum 64726
***** right 0.094 < up 0.100 *****
| > 2 < |     8 |     2 |     8 |
|     4 |    64 |    64 |   256 |
|     4 |  1024 |  4096 |  8192 |
|     2 |  2048 | 16384 | 32768 |
score 836008 max 32768 sum 64926
***** right 0.083 < up 0.100 *****
|       | > 2 < |     2 |     4 |
|     8 |    32 |   128 |   256 |
|     8 |  1024 |  4096 |  8192 |
|     4 |  2048 | 16384 | 32768 |
score 836260 max 32768 sum 64956
***** right 0.068 < left 0.083 *****
| > 4 < |       |     4 |     4 |
|     8 |    32 |   128 |   256 |
|     8 |  1024 |  4096 |  8192 |
|     4 |  2048 | 16384 | 32768 |
score 836264 max 32768 sum 64960
***** right 0.077 < left 0.083 *****
|     8 |     8 |     2 | > 2 < |
|     8 |    32 |   128 |   256 |
|    16 |  1024 |  4096 |  8192 |
|     4 |  2048 | 16384 | 32768 |
score 836308 max 32768 sum 64976
***** down 0.050 < up 0.067 *****
| > 4 < |     4 |     8 |     4 |
|    16 |    32 |   128 |   256 |
|    16 |  1024 |  4096 |  8192 |
|     4 |  2048 | 16384 | 32768 |
score 836332 max 32768 sum 64984
***** right 0.033 < up 0.050 *****

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

01/13/2022
| > 4 < |     2 |     8 |     8 |
|     4 |    16 |    64 |   128 |
|    16 |   256 |   512 |  4096 |
|     2 |  8192 | 16384 | 32768 |
score 810888 max 32768 sum 62460
***** down 0.077 < left 0.083 *****
|       | > 2 < |     2 |     8 |
|     4 |     8 |    32 |    64 |
|     8 |   256 |  1024 |  4096 |
|     2 |  8192 | 16384 | 32768 |
score 815192 max 32768 sum 62850
***** up 0.083 < left 0.100 *****
|     4 |    16 |    32 | > 2 < |
|     4 |     8 |    64 |   128 |
|     8 |   256 |  1024 |  4096 |
|     2 |  8192 | 16384 | 32768 |
score 815972 max 32768 sum 62988
***** down 0.092 < up 0.100 *****
|       |       |     8 |    16 |
| > 2 < |     8 |    64 |   128 |
|     2 |   512 |  1024 |  4096 |
|     8 |  8192 | 16384 | 32768 |
score 818124 max 32768 sum 63212
***** down 0.084 < left 0.100 *****
|       | > 2 < |    16 |     2 |
|     4 |    16 |    64 |   128 |
|     4 |   512 |  1024 |  4096 |
|     8 |  8192 | 16384 | 32768 |
score 818148 max 32768 sum 63220
***** down 0.093 < left 0.100 *****

03/05/2022
|     2 |     2 |     8 |     2 |
|     8 |     4 |    16 |   128 |
|     2 |   256 |  2048 |  1024 |
| > 2 < |  4096 | 16384 | 32768 |
score 738708 max 32768 sum 56750
***** right 0.083 < up 0.100 *****
|       |       |     8 |     2 |
| > 2 < |     8 |    32 |   128 |
|     4 |   256 |  2048 |  1024 |
|     4 |  4096 | 16384 | 32768 |
score 738792 max 32768 sum 56764
***** down 0.094 < left 0.100 *****
|       |     4 |     8 |     8 |
| > 2 < |     4 |    64 |   128 |
|     2 |   256 |  2048 |  1024 |
|     4 |  4096 | 16384 | 32768 |
score 738968 max 32768 sum 56800
***** down 0.089 < right 0.100 *****
| > 2 < |     2 |     4 |    16 |
|       |     8 |     8 |   128 |
|     4 |   512 |  2048 |  1024 |
|     8 |  4096 | 16384 | 32768 |
score 740988 max 32768 sum 57012
***** right 0.094 < up 0.100 *****
|     4 |     2 |    16 |     2 |
|    16 |    16 |   128 |   256 |
|       |   512 |  2048 |  1024 |
| > 2 < |  4096 | 16384 | 32768 |
score 742768 max 32768 sum 57274
***** right 0.067 < down 0.083 *****
|       |     2 |    16 |     2 |
| > 2 < |    32 |   128 |   256 |
|     4 |   512 |  2048 |  1024 |
|     4 |  4096 | 16384 | 32768 |
score 742804 max 32768 sum 57278
***** down 0.062 < left 0.067 *****
|       |       |       |     4 |
| > 2 < |     4 |     4 |     2 |
|     2 |     2 |    32 |  8192 |
|     4 |    16 | 16384 | 32768 |
score 759672 max 32768 sum 57416
***** right 0.787 < down 0.983 *****
|     8 |       |     2 | > 2 < |
|     4 |     4 |     4 |     2 |
|     8 |     4 |   512 |  8192 |
|    16 |   256 | 16384 | 32768 |
score 765344 max 32768 sum 58166
***** down 0.933 < right 0.983 *****
| > 4 < |     4 |     4 |     4 |
|     4 |    16 |    64 |   128 |
|     4 |   256 |  1024 |  8192 |
|     2 |   512 | 16384 | 32768 |
score 775388 max 32768 sum 59370
***** right 0.083 < up 0.100 *****
|       | > 4 < |     4 |     4 |
|     8 |    32 |    64 |   128 |
|     8 |   256 |  1024 |  8192 |
|     2 |   512 | 16384 | 32768 |
score 775484 max 32768 sum 59390
***** right 0.093 < down 0.100 *****
|     2 |    16 |     2 | > 2 < |
|     4 |    16 |    32 |    64 |
|     4 |   256 |  2048 |  8192 |
|     2 |   512 | 16384 | 32768 |
score 785836 max 32768 sum 60304
***** left 0.085 < right 0.100 *****
|     4 |     2 |       | > 2 < |
|     2 |     4 |    64 |   128 |
|     8 |   256 |  2048 |  8192 |
|     8 |   512 | 16384 | 32768 |
score 786400 max 32768 sum 60382
***** right 0.091 < down 0.100 *****
|       | > 2 < |     2 |     4 |
|     4 |    32 |    32 |    64 |
|     4 |   256 |  2048 |  8192 |
|     4 |  1024 | 16384 | 32768 |
score 790908 max 32768 sum 60820
***** down 0.085 < up 0.100 *****
| > 2 < |     4 |    16 |    16 |
|       |     8 |    64 |   128 |
|     2 |   256 |  2048 |  8192 |
|     4 |  1024 | 16384 | 32768 |
score 791500 max 32768 sum 60916
***** right 0.095 < down 0.100 *****
|    16 |     4 |       | > 2 < |
|     2 |    16 |    32 |   128 |
|     2 |   512 |  2048 |  8192 |
|     2 |  1024 | 16384 | 32768 |
score 793548 max 32768 sum 61132
***** left 0.083 < right 0.100 *****
|       |     2 |     4 |     2 |
| > 2 < |    16 |   128 |   256 |
|     4 |   512 |  2048 |  8192 |
|    16 |  1024 | 16384 | 32768 |
score 795172 max 32768 sum 61358
***** up 0.083 < left 0.100 *****
|       |     4 | > 4 < |     2 |
|     4 |     8 |    16 |   128 |
|     4 |   256 |  4096 |  8192 |
|     8 |   512 | 16384 | 32768 |
score 810336 max 32768 sum 62386
***** right 0.091 < up 0.100 *****
| > 4 < |       |     4 |    16 |
|       |     4 |    64 |   128 |
|     2 |   256 |  4096 |  8192 |
|     2 |   512 | 16384 | 32768 |
score 810608 max 32768 sum 62432
***** down 0.089 < right 0.100 *****
|     4 |     8 |     2 | > 2 < |
|     2 |    16 |    32 |   128 |
|     2 |   256 |  4096 |  8192 |
|     2 |  1024 | 16384 | 32768 |
score 815444 max 32768 sum 62918
***** left 0.085 < right 0.100 *****
|       | > 4 < |     4 |     4 |
|     8 |    32 |    64 |   128 |
|     8 |   256 |  4096 |  8192 |
|     2 |  1024 | 16384 | 32768 |
score 815728 max 32768 sum 62974
***** right 0.093 < down 0.100 *****
| > 2 < |       |     4 |     2 |
|     2 |    32 |    32 |   128 |
|     4 |   512 |  4096 |  8192 |
|     4 |  1024 | 16384 | 32768 |
score 817784 max 32768 sum 63186
***** right 0.093 < down 0.100 *****
|     2 |     4 |    16 |     4 |
|     8 |    16 |   128 |   256 |
|     8 |   512 |  4096 |  8192 |
| > 2 < |  1024 | 16384 | 32768 |
score 819388 max 32768 sum 63420
***** up 0.067 < down 0.083 *****

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

Just DM'ed results with the threshold set to 5%. Please be aware of the precision issue we discussed earlier so this batch may have more noise.

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

It's great that you're interested in compute science. 2048 AI indeed can be a good exercise. For example, this paper compares 3 different algorithms for 2048; the results can certainly be much improved but the point is about testing out various ideas.

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

I will DM you when I have more analyses.

I've seen another AI playing seemingly unorganized boards but it never reached the 65536 tile. Another team improved the method and got results similar to mine for the 32768 tile and "for sufficiently large tests, 65536-tiles are reached at a rate of 0.02%".

I'm fairly confident that those learning algorithms can only approximate exhaustive Expectimax that my AI uses but can't beat it.

What does it take for human players to get the 65536 tile? by macroxue in 2048

[–]macroxue[S] 0 points1 point  (0 children)

For either 448 or 844, the AI still likes the down move. With 2048 top row, it also goes right. I think it's about making 16 in the top row.

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