As nouns the difference between improvement and augment

is that improvement is the act of improving; advancement or growth; promotion in desirable qualities; progress toward what is better; melioration; as, the improvement of the mind, of land, roads, etc while augment is in some Indo-European languages, a prefix e- (a- in Sanskrit) indicating a past tense of a verb.

As a verb augment is

to increase; to make larger or supplement.

Restare is likely misspelled.

Restare has no English definition.

As a verb retain is

to keep in possession or use.

In transitive terms the difference between barrel and hurtle

is that barrel is to put or to pack in a barrel or barrels while hurtle is to hurl or fling; to throw hard or violently.

In intransitive terms the difference between barrel and hurtle

is that barrel is to move quickly or in an uncontrolled manner while hurtle is to move rapidly, violently, or without control.

As a noun barrel

is (countable) a round vessel or cask, of greater length than breadth, and bulging in the middle, made of staves bound with hoops, and having flat ends or heads sometimes applied to a similar cylindrical container made of metal, usually called a drum.

As a verb barrel

is to put or to pack in a barrel or barrels.

As a proper noun storm is

.

As nouns the difference between host and heap

is that host is autumn (season) while heap is heap.

As verbs the difference between retrieve and restare

is that retrieve is to regain or get back something while restare is .

As a noun retrieve

is a retrieval.

As adjectives the difference between exuberant and amiable

is that exuberant is exuberant while amiable is friendly; kind; sweet; gracious; as, an amiable temper or mood; amiable ideas.

As adjectives the difference between obnoxious and egregious

is that obnoxious is extremely unpleasant, offensive, very annoying, odious or contemptible while egregious is exceptional, conspicuous, outstanding, most usually in a negative fashion.

As a proper noun house

is (us) the house of representatives, "the house".

As a verb contain is

(lb) to hold inside.

As nouns the difference between casing and box

is that casing is that which encloses or encases while box is box (rectangular container).

As a verb casing

is .