>From what Peter showed, the answer to (part of) the original questions
seems to be that *yes*, a B-tree GIN can be quite appealing. The test times
aren't too worrisome, and the index size is about 1/12th of a B-tree. I
added on the sizes, and divided each index size by a full B-tree:

Method      Count  Min       Avg         Median     Max      KB
KB/B-Tree
Partial     5      9.050    9.7724    9.185     12.151      392     0.018
B-tree      5      9.971   12.8036   10.226     21.600   21,960     1.000
GIN         5      9.542   10.3644   10.536     10.815    1,872     0.085
Hash        5     10.801   11.7448   11.047     14.875   48,096     2.190

I'm not great at ASCII tables, I'm attaching a picture...don't know if that
works here.

[image: results_table.jpeg]

I guess I'd say at this point:

* The test case I set up is kind of silly and definitely not representative
of a variety of data distributions.

* Hash index is not well-matched to low-cardinality (=== "high collision")
values.

* Partial B-trees aren't going to save space if you need one for each
distinct value. And there's an overhead to index maintenance, so there's
that. (But partial indexes in Postgres are fantastic in the right
situations....this probably isn't one.)

* A B-tree GIN index performs well and is space-efficient.

Might be overriding a bit here from an artificial/toy test, but I find the
results Peter offered pretty encouraging. It *really *feels wrong to use a
standard B-tree for low-cardinality columns. It's just a badly matched data
structure. Hash too....there you see the results quite dramatically, but
it's a closely related problem. A GIN index *seems* like it's well-matched
to low-cardinality indexing.

Now that this is all in my head a bit, I'm hoping for more feedback and
real-world observations. Any commentary appreciated.

On Sun, Jun 2, 2019 at 9:10 AM Morris de Oryx <morrisdeo...@gmail.com>
wrote:

> Peter, thanks a lot for picking up on what I started, improving it, and
> reporting back. I *thought *I was providing timing estimates from the
> EXPLAIN cost dumps. Seems not. Well, there's another thing that I've
> learned.
>
> Your explanation of why the hash index bloats out makes complete sense, I
> ought to have thought that.
>
> Can you tell me how you get timing results into state_test_times? I know
> how to turn on time display in psql, but I much prefer to use straight SQL.
> The reason for that is my production code is always run through a SQL
> session, not typing things into psql.
>
> On Sat, Jun 1, 2019 at 11:53 PM Peter J. Holzer <hjp-pg...@hjp.at> wrote:
>
>> On 2019-06-01 17:44:00 +1000, Morris de Oryx wrote:
>> > Since I've been wondering about this subject, I figured I'd take a bit
>> of time
>> > and try to do some tests. I'm not new to databases or coding, but have
>> been
>> > using Postgres for less than two years. I haven't tried to generate
>> large
>> > blocks of test data directly in Postgres before, so I'm sure that there
>> are
>> > better ways to do what I've done here. No worries, this gave me a
>> chance to
>> > work through at least some of the questions/problems in setting up and
>> running
>> > tests.
>> >
>> > Anyway, I populated a table with 1M rows of data with very little in
>> them, just
>> > a two-character state abbreviation. There are only 59 values, and the
>> > distribution is fairly even as I used random() without any tricks to
>> shape the
>> > distribution. So, each value is roughly 1/60th of the total row count.
>> Not
>> > realistic, but what I've got.
>> >
>> > For this table, I built four different kind of index and tried each one
>> out
>> > with a count(*) query on a single exact match. I also checked out the
>> size of
>> > each index.
>> >
>> > Headline results:
>> >
>> > Partial index: Smaller (as expeced), fast.
>> > B-tree index: Big, fast.
>> > GIN: Small, slow.
>> > Hash: Large, slow. ("Large" may be exaggerated in comparison with a
>> B-tree
>> > because of my test data.)
>>
>> You didn't post any times (or the queries you timed), so I don't know
>> what "fast" and "slow" mean.
>>
>> I used your setup to time
>>     select sum(num) from state_test where abbr = 'MA';
>> on my laptop (i5-7Y54, 16GB RAM, SSD, Pgsql 10.8) and here are the
>> results:
>>
>> hjp=> select method, count(*),
>>         min(time_ms),
>>         avg(time_ms),
>>         percentile_cont(0.5) within group (order by time_ms) as median,
>>         max(time_ms)
>>     from state_test_times
>>     group by method
>>     order by 5;
>>
>>  method  | count |  min   |   avg   | median |  max
>> ---------+-------+--------+---------+--------+--------
>>  Partial |     5 |   9.05 |  9.7724 |  9.185 | 12.151
>>  B tree  |     5 |  9.971 | 12.8036 | 10.226 |   21.6
>>  GIN     |     5 |  9.542 | 10.3644 | 10.536 | 10.815
>>  Hash    |     5 | 10.801 | 11.7448 | 11.047 | 14.875
>>
>> All the times are pretty much the same. GIN is third by median, but the
>> difference is tiny, and it is secondy by minium and average and even
>> first by maximum.
>>
>> In this case all the queries do a bitmap scan, so the times are probably
>> dominated by reading the heap, not the index.
>>
>> > method    pg_table_size    kb
>> > Partial   401408    392 Kb
>> > B tree    22487040    21960 Kb
>> > GIN       1916928    1872 Kb
>> > Hash      49250304    48096 Kb
>>
>> I get the same sizes.
>>
>>
>> > Okay, so the partial index is smaller, basically proportional to the
>> fraction
>> > of the file it's indexing. So that makes sense, and is good to know.
>>
>> Yeah. But to cover all values you would need 59 partial indexes, which
>> gets you back to the size of the full btree index. My test shows that it
>> might be faster, though, which might make the hassle of having to
>> maintain a large number of indexes worthwhile.
>>
>> > The hash index size is...harder to explain...very big. Maybe my tiny
>> > strings? Not sure what size Postgres hashes to. A hash of a two
>> > character string is likely about worst-case.
>>
>> I think that a hash index is generally a poor fit for low cardinality
>> indexes: You get a lot of equal values, which are basically hash
>> collisions. Unless the index is specifically designed to handle this
>> (e.g. by storing the key only once and then a tuple list per key, like a
>> GIN index does) it will balloon out trying to reduce the number of
>> collisions.
>>
>>         hp
>>
>> --
>>    _  | Peter J. Holzer    | we build much bigger, better disasters now
>> |_|_) |                    | because we have much more sophisticated
>> | |   | h...@hjp.at         | management tools.
>> __/   | http://www.hjp.at/ | -- Ross Anderson <https://www.edge.org/>
>>
>

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