We don't have synonyms for half and half yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are half-and-half.
(n) :
half one thing and half another; a mixture of cream and milk often used in coffee, defined by the US Food and Drug Administration to contain between 10.5% and 18% milk fat
(n) :
half one thing and half another; a mixture of cream and milk often used in coffee, defined by the US Food and Drug Administration to contain between 10.5% and 18% milk fat