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