Have you looked at our Best Guess table? With a CYA of 45, you need to maintain an FC of 15 at least. If it's a concrete pool you can safely go higher.
I'm not sure what the exact new stronger bleach is, but I'm going to assume it's 8.25%. Now with your pool, each gallon will add about 3.3 ppm of chlorine, so you'd need at least 4 1/2 gallons all at once just to get it to 15 if you didn't have algae...then it gets consumed killing algae.

If I were you I'd be planning on adding up to 5 gallons 3x a day until I could maintain an FC of 15ppm. Or, if you can get 12% liquid chlorine, each gallon will add nearly 5ppm, so I'd plan on adding up to 3 gallons of that 3x day.