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===== Decompression - Pool vs Solo =====

[[https://www.chia.net/2023/01/20/plot-compression-is-here/|Compressed plots]] work with a [[|guides:plotting:tradeoff|“time-space” tradeoff]], removing parts of the plot and recreating them on the fly during farming. This latter part means that whenever a (partial) proof is fetched, additional computational resources will be utilised, compared to the OG uncompressed plots (C0). In this guide, we try to quantify how much extra resources are used for a farmer due to "recomputation"/"decompression" in a pool vis-à-vis if they were farming solo. 
We make a distinction between 
  * **quality recomputations**: passing the plot filter
  * **proof recomputations**: performing a (partial) proof lookup

== note: for simplicity we use k32 and plotfilter 512==


==== Quality Recomputations ====
For every signage point (9216 per day), a k32 has a 1/512 chance to pass the plotfilter. When passing the filter, a quality string lookup needs to be performed. In the case of compressed plots, this means part of the plot must now be recomputed. 
That means that for every signage point, 1/512 = 0.001953125 expected recomputations per k32.


==== Proof Recomputations ====
When pooling, every k32 is expected to produce 10 point per day on average. 
Reiterating that at 
  * difficulty 1, that is 10 (partial) proofs per day of 1 point,
  * difficulty 10, that is 1 (partial) proof per day of 10 points,
  * difficulty 100, that is 0.1 (partial) proofs per day of 100 points, 
  * etc.

That means that with **difficulty 1** for every signage point, 10/9216 = 0.001085069444 expected recomputations per k32.

==== Pool vs Solo ====

Putting those together, we see that* 
  * a solo farmer is doing 1/512 recomputations per signage point
  * a poolfarmer with **difficulty 1** is doing 1/512 + 10/9216 recomputations per signage point

That means that the poolfarmer incurs an overhead of ~56% at plotfilter 512. And half of that at plotfilter 216. 
This overhead decreases linearly with pool difficulty, so that

^  Pool Difficulty  ^  Overhead  ^^
^                 ^plotfilter 512 ^ plotfilter 256 ^
| 1 | 56% | 28% | 
| 5 | 11% | 6%  | 
|10 | 6%  | 3%  | 
|50 | 1%  | 0,5%|
|100|0,5% | 0,3%|
|500|0,1% | 0,06%| 
== *for simplicity we ignore recomputations for actual blocks ==

The implication of this is that the computational overhead due to pooling could be said to be directly independent of farm size, although indirectly large farmers generally have a higher pool difficulty. 

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TIP: When farming compressed plots in a pool, consider increasing your difficulty a bit. e.g. from 3 minutes per partial, to 6 minutes per partial. See https://xchdata.io/diffcalc to choose your optimal difficulty. 
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