pull up vs haul up

pull up and haul up both are verbs.

Word	Noun	Adjective	Verb	Adverb
pull up	No	No	Yes	No
haul up	No	No	Yes	No

As verbs, pull up and haul up are synonyms defined as:

Other synonyms of pull up include draw up.

pull up (verb)	haul up (verb)
remove, usually with some force or effort; also used in an abstract sense	come to a halt after driving somewhere
cause (a vehicle) to stop
come to a halt after driving somewhere
straighten oneself