run up vs cast on

run up and cast on both are verbs.

Word	Noun	Adjective	Verb	Adverb
run up	No	No	Yes	No
cast on	No	No	Yes	No

As verbs, cast on is a hyponym of run up; that is, cast on is a word with a more specific, narrower meaning than run up:

run up (verb)	cast on (verb)
pile up (debts or scores)	make the first row of stitches when knitting
raise by using ropes and pulleys
fasten by sewing; do needlework
make by sewing together quickly
accumulate, sometimes as a debt