The phrase "not compulsory" implies that something is optional or voluntary. There are a variety of synonyms that can be used instead of this phrase, depending on the context. Some alternative phrases include "non-mandatory," "unenforced," "elective," "discretionary," "voluntary," "freewill," and "non-essential." These synonyms can be used in a variety of contexts, such as in reference to courses that are not required for graduation, activities that are not necessary but are encouraged, or policies that are not enforced but are recommended. Using these synonyms can help to convey the same idea as "not compulsory," but with slightly different connotations or tones depending on the specific word choice.