overhaul v.

word-forming element meaning variously "above; highest; across; higher in power or authority; too much; above normal; outer; beyond in time, too long," from Old English ofer (from PIE root *uper "over"). Over and its Germanic relations were widely used as prefixes, and sometimes could be used with negative force. This is rare in Modern English, but compare Gothic ufarmunnon "to forget," ufar-swaran "to swear falsely;" Old English ofercræft "fraud."

In some of its uses, moreover, over is a movable element, which can be prefixed at will to almost any verb or adjective of suitable sense, as freely as an adjective can be placed before a substantive or an adverb before an adjective. [OED]

Among the old words not now existing are Old English oferlufu (Middle English oferlufe), literally "over-love," hence "excessive or immoderate love." Over- in Middle English also could carry a sense of "too little, below normal," as in over-lyght "of too little weight" (c. 1400), overlitel "too small" (mid-14c.), oversmall (mid-13c.), overshort, etc.

"pull or draw forcibly," 1580s, hall, variant of Middle English halen "to drag, pull" (see hale (v.)). Spelling with -au- or -aw- is from early 17c. Related: Hauled; hauling. To haul off "pull back a little" before striking or otherwise acting is American English, 1802.

c. 1200, "drag, pull," in Middle English used of arrows, bowstrings, reins, swords, anchors, etc., from Old French haler "to pull, haul, tow, tug" (12c.), from Frankish *halon or Old Dutch halen or some other Germanic source, from Proto-Germanic *halon "to call," from PIE root *kele- (2) "to shout." Figurative sense of "to draw (someone) from one condition to another" is late 14c. Related: Haled; haling.