haul away vs take away

haul away and take away both are verbs.

Word	Noun	Adjective	Verb	Adverb
haul away	No	No	Yes	No
take away	No	No	Yes	No

As verbs, take away is a hypernym of haul away; that is, take away is a word with a broader meaning than haul away:

Other hypernyms of haul away include take out.

haul away (verb)	take away (verb)
take away by means of a vehicle	take out or remove
	remove something concrete, as by lifting, pushing, or taking off, or remove something abstract
	get rid of something abstract
	take away a part from; diminish
	buy and consume food from a restaurant or establishment that sells prepared food
	remove from a certain place, environment, or mental or emotional state; transport into a new location or state
	take from a person or place