Recompense is a related term of cost.
As verbs the difference between recompense and cost
is that
recompense is while
cost is to incur a charge; to require payment of a price.
As a noun cost is
manner; way; means; available course; contrivance or
cost can be amount of money, time, etc that is required or used or
cost can be (obsolete) a rib; a side.