The only algaecide that TFP would recommend using (but not as a regular chemical addition) is polyquat 60. It’s the most effective quat based algaecide that is available and causes the least amount of trouble in a chlorinated pool. There are similar compounds called linear quat algaecides but those are cheap, less effective and can cause foaming as they breakdown. Other types of algaecides are either based on creating chloramine in your water (EDTA or ammonium based chemicals), metals like copper (very bad) OR bromine (very, very bad for a chlorinated pool).
Bottom line is this if - if you don’t need a algaecide for a specific reason, then don’t use them.