Look at it this way, you have a population of 300 of algae spores, they double and the extra clorine kills half, tomorrow you have 300 algae spores, they double and the extra clorine you tossed in killed 300 off again, never ending cycle. This will lead to insanity.
Just slam the pool, if it's clear it will be a quick slam, go to Walmart and get 6% bleach, they always have tons of it. This reduces algae to 0.