If you can keep it at shock level throughout the day, it will clear faster, but if you can only do so at night, then that's all you can really do. It is true that the chlorine works more efficiently at night because the UV rays aren't consuming part of it. However, you don't really know your shock level unless you know a CYA level--you can order CYA reagent online from several places but it takes a few days to arrive....can you maybe get a pool store to test it for you in the meantime?
Even if you have 0 CYA, your shock level should still be 12 ppm of chlorine...keeping 9 ppm may stop additional algae from growing, but it's not going to do much to kill off what you already have. In 21,500 gallons of water, each 1/2 gallon of 6% bleach that you add will raise your FC by about 1.4 ppm, so you can use that as a guide to figure out how much you need to raise your FC to shock level.
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