Here's what rhymes with haptetai.
by die buy tie bi bye dye pi pie thai dei ty tai my high why dry lie thy try y guy vi hi shy sigh chi fi hy nigh spy thigh vie ly ply psi quae rye wir awry hai lye mai muy nai pry tri trie wry cy fy kai lai luy mei pri sy thei wai phi sty stye apply cry fly sky deny defy certify fry goodbye sly alibi standby belie pupae untie spry amebae turfy slier supply reply thereby imply nearby occupy rely satisfy whereby hereby modify underlie ratify samurai decry lullaby typify amoebae edify aquae bonsai deify ossify retry triply stupefy lanai shanghai ripply banzais overbuy yuppify justify comply multiply alkali testify verify butterfly gratify notify amplify fortify nullify pacify beautify termini terrify codify descry mollify overlie ramify vilify acidify firefly stratify stultify ultrahigh vivify blowfly horrify petrify scurfy versify barfly hyperbolae mummify prettify vitrify beatify drachmai speechify dandify identify nuclei qualify specify classify signify simplify purify quantify alveoli diversify magnify rectify unify falsify solidify dignify mortify objectify oversupply personify resupply mystify calcify misapply dissatisfy overfly scarify gentrify refortify syllabify stimuli clarify glorify crucify liquefy demystify detoxify preoccupy emulsify reunify revivify liquify exemplify intensify disqualify indemnify dragonfly electrify reclassify cumuli declassify misidentify solemnify oversimplify transmogrify