hand axe vs edge tool

hand axe and edge tool both are nouns.

Word	Noun	Adjective	Verb	Adverb
hand axe	Yes	No	No	No
edge tool	Yes	No	No	No

As nouns, edge tool is a hypernym of hand axe; that is, edge tool is a word with a broader meaning than hand axe:

hand axe: a stone tool with a cutting edge; the stone is held in the hand and used for chopping
edge tool: any cutting tool with a sharp cutting edge (as a chisel or knife or plane or gouge)

hand axe (noun)	edge tool (noun)
a stone tool with a cutting edge; the stone is held in the hand and used for chopping	any cutting tool with a sharp cutting edge (as a chisel or knife or plane or gouge)