stretch forth vs stretch out

stretch forth and stretch out both are verbs.

Word	Noun	Adjective	Verb	Adverb
stretch forth	No	No	Yes	No
stretch out	No	No	Yes	No

As verbs, stretch forth and stretch out are synonyms defined as:

Other synonyms of stretch forth include exsert, extend, hold out, put out.

stretch forth (verb)	stretch out (verb)
thrust or extend out	stretch (the neck) so as to see better
	thrust or extend out
	extend one's body or limbs
	extend or stretch out to a greater or the full length
	lie down comfortably