Alexander Kuzmenkov <a.kuzmen...@postgrespro.ru> writes:
> On 01.03.2018 06:23, David Gould wrote:
>> In theory the sample pages analyze uses should represent the whole table
>> fairly well. We rely on this to generate pg_statistic and it is a key
>> input to the planner. Why should we not believe in it as much only for
>> reltuples? If the analyze sampling does not work, the fix would be to improve
>> that, not to disregard it piecemeal.

> Well, that sounds reasonable. But the problem with the moving average 
> calculation remains. Suppose you run vacuum and not analyze. If the 
> updates are random enough, vacuum won't be able to reclaim all the 
> pages, so the number of pages will grow. Again, we'll have the same 
> thing where the number of pages grows, the real number of live tuples 
> stays constant, and the estimated reltuples grows after each vacuum run.

You claimed that before, with no more evidence than this time, and I still
don't follow your argument.  The number of pages may indeed bloat but the
number of live tuples per page will fall.  Ideally, at least, the estimate
would remain on-target.  If it doesn't, there's some other effect that
you haven't explained.  It doesn't seem to me that the use of a moving
average would prevent that from happening.  What it *would* do is smooth
out errors from the inevitable sampling bias in any one vacuum or analyze
run, and that seems like a good thing.

> I did some more calculations on paper to try to understand this. If we 
> average reltuples directly, instead of averaging tuple density, it 
> converges like it should. The error with this density calculation seems 
> to be that we're effectively multiplying the old density by the new 
> number of pages. I'm not sure why we even work with tuple density. We 
> could just estimate the number of tuples based on analyze/vacuum, and 
> then apply moving average to it. The calculations would be shorter, too. 
> What do you think?

I think you're reinventing the way we used to do it.  Perhaps consulting
the git history in the vicinity of this code would be enlightening.

                        regards, tom lane

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