The phrase "made off the top of one's head" means to come up with something without much thought or preparation, often hastily. Synonyms for this phrase include "spontaneously", "impulsively", "off the cuff", "ad lib", "improvised", "unplanned", "unrehearsed", "instinctively", and "in the moment". It is important to note that while these phrases share a similar meaning to "made off the top of one's head", they are not always interchangeable. Context and tone of the situation can determine which phrase is most appropriate to use. Overall, these synonyms depict a creative and intuitive way of coming up with ideas without relying on preconceived notions or expectations.