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HyperLogLog sounds interesting, but looking at the Github page of that extension it mentions that it has been tested with the versions 9.0, 9.1, 9.2, 9.3 and the last commit is 2014. Is it just finished and doesn't need any updates to keep up with newer Postgres versions? Or is it more of an abandonded project?

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Most parts of the PostgreSQL extension API are really stable so if it is a simple extension one should not be too worried about the project being inactive. The extensions I have written have not required any changes at all when upgrading PostgreSQL.

Hyperloglog is a pretty straightforward, simple and awesome algorithm.. probably that is the reason.. Take a look at redis implementation.. it is very easily readable.

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