alt Hacker NewsOne cubic metre of water is 1000 liters. A typical 25m swimming pool ("short course" / half of olympic size) is 20-25m wide. That's at least 500 m^2 surface area. At an average depth of only 1m (very conservative even for a recreational pool), that is 500,000 liters just to cycle the water once a year. Estimates I can find suggests 3-7 times as much as that on a yearly basis for a typical recreational pool.
So unless you're talking about a tiny private residential pool you're at least an order of magnitude off.
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As someone who has been maintaining a pool for several years, you really hope you don't have to cycle the full amount of water once a year. You're really doing something wrong or incredibly unlucky if that's the case. That's at least true for the climate I live in. If I lived in a different climate, I'd probably forego having a pool.
It was incredibly painful when I had to drain the pool for deep maintenance a few years ago, and I'm not looking forward to having to do it again in a little while.
Also, most residential pool owners don't have half olympic pools in their yard. They're usually much smaller than that.
Well, OP said "small swimming pool". I guess it's ambiguous.