run up vs chalk up

run up and chalk up both are verbs.

Word	Noun	Adjective	Verb	Adverb
run up	No	No	Yes	No
chalk up	No	No	Yes	No

As verbs, run up and chalk up are synonyms defined as:

run up (verb)	chalk up (verb)
pile up (debts or scores)	keep score, as in games
raise by using ropes and pulleys	accumulate, sometimes as a debt
fasten by sewing; do needlework
make by sewing together quickly
accumulate, sometimes as a debt