For what it's worth, we had a Hayward 250k BTU added for our IG 18x36/25k pool at the start of the season. We wanted to be able to extend the swimming season for our grandson as he uses it as part of physical therapy.
Total cost was roughly 4600 including new gas line (about 30ft) with double shut-offs (inside and out), external GFCI power outlet, installation, plumbing and so on.
Gas line itself was bout 900, although that did include some other minor items they did at the same time.
Pool was 46F when we opened it - heater took it to 80 in about 60 hours. Cost about $300 extra on the gas bill the first month (last two weeks of April in Mid-Michigan)
This month, after negotiating 84F as the wife-acceptable minimum, we're lookin at roughly $150~$200 'extra' on the bill this month. Figuring that to be under $10 day over the last 2 months, or barely a Venti Caramel Frappuccino and a Donut each, we consider it to be money well spent...plus swimming every day is better for us than the aforementioned delicious comestibles...
I expect the cost-per-day across the entire season to average out pretty low overall...especially as the ambient average temps increase, unless of course the wife figures out how to up the temperature to a non-negotiated higher value
Keep in mind that your initial warm up cost will be driven by water volume, while your ongoing heating costs will be driven more by surface area (due to evaporative heat loss) and a good solar cover can radically reduce that (and hence reduce your heating requirement).
YMMV
p.s. Now I want a donut...and the pool is currently 84.8F