sum up vs add

sum up and add both are verbs.

Word	Noun	Adjective	Verb	Adverb
sum up	No	No	Yes	No
add	No	No	Yes	No

As verbs, sum up and add are synonyms defined as:

Other synonyms of sum up include add together, add up, sum, summate, tally, tot, tot up, total, tote up.

sum up (verb)	add (verb)
give a summary (of)	make an addition (to); join or combine or unite with others; increase the quality, quantity, size or scope of
determine the sum of	make an addition by combining numbers
be a summary of	determine the sum of
	state or say further
	bestow a quality on
	constitute an addition