The Collaborative International Dictionary of English v.0.48:
Fast \Fast\, adv. [OE. faste firmly, strongly, quickly, AS.
f[ae]ste. See Fast, a.]
1. In a fast, fixed, or firmly established manner; fixedly;
We will bind thee fast. --Judg. xv.
2. In a fast or rapid manner; quickly; swiftly;
extravagantly; wildly; as, to run fast; to live fast.
Fast by, or Fast beside, close or near to; near at hand.
He, after Eve seduced, unminded slunk
Into the wood fast by. --Milton.
Fast by the throne obsequious Fame resides. --Pope.