Where does “Ἐξαίνετος” come from?

Ἐξαίνετος (Ancient Greek) comes from Ancient Greek ἐξ, from Ancient Greek Ὕπνος, from Proto-Hellenic húpnos, from Proto-Indo-European supnós, from Proto-Indo-European swóp-r̥ ~ swép-n̥s, from Proto-Indo-European swep- — to sleep.

Ancestry of “Ἐξαίνετος”, step by step

Ἐξαίνετος traces back through two separate lines of ancestry.

via Ancient Greek ἐξ

Step	Language	Word	Meaning
1	Ancient Greek	ἐξ	Alternative form of ἐκ; out; from, out of
2	Ancient Greek	Ὕπνος	Hypnos, the Greek mythological god of sleep
3	Proto-Hellenic	húpnos	—
4	Proto-Indo-European	supnós	sleep; death
5	Proto-Indo-European	swóp-r̥ ~ swép-n̥s	—
6	Proto-Indo-European	swep-	to sleep

via Ancient Greek αἰνετός

Step	Language	Word	Meaning
1	Ancient Greek	αἰνετός	praiseworthy
2	Ancient Greek	αἰνέω	I tell of, speak of
3	Ancient Greek	-έω	Used to form verbs from nouns, adjectives and...
4	Proto-Indo-European	-éyeti	Forms causative imperfective verbs from roots;...
5	Proto-Indo-European	-yeti	Creates transitive imperfective verbs from roots

Every word from Proto-Indo-European swep- →Every word from Proto-Indo-European swóp-r̥ ~ swép-n̥s →Every word from Proto-Indo-European supnós →