Thanks to the excellent help of mas985 I learned that my pump (very expensive 2hp) will do a turnover of my pool in roughly 2 hours. My understanding is that water turnover is important to mix the water and evenly distribute chlorine, in addition to filter out detritus.
Until the day put in my two-speed pump, or perhaps in leiu of replacing the pump altogether I have been wondering if it's feasible to simply run my pump, for example, 2 hrs mid-morning and 2 in the late evening, and then manually circulate the water with my net or the brush in the evening (and perhaps the morning). This "manual water circulation" would take only 1 minute or so. Stirring the pot so to speak .
Am I wrong in thinking that instead of running a very expensive pump 8-10 hrs per day I could run it perhaps 4 hrs per day for filtration purposes and manually circulate the water once or twice per day during the hottest months to evenly distribute chlorine? Why would this not work?