The algecide, and perhaps the pool perfect, likely used up chlorine that could have been whacking algae instead. At its simplest, going green to clear is getting the chlorine up to a shock level and keeping it there until the water is clear again. I suspect that the chlorine level over 10 days fell fairly low at times and the algae got a chance to bounce back at bit. It takes a surprising amount of chlorine to kill off all the algae. You are correct that the algae is using up the chlorine going in.
Do you know how much water is in your pool? http://www.poolforum.com/zxq/BleachCalc262.exe is useful to calculate the amount of bleach required to get to a target chlorine level.
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