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We analyze cosmological correlators and the wave function of the universe in dS at tree and loop levels. We find a hidden simplicity in the structure of in-in correlators compared to the wave function allowing us to obtain a new integral representation for in-in correlators and comment on the transcendentality of the final expressions. Since the wave functions are equivalent to AdS correlators by analytic continuation, this analysis is also valid for comparing correlators in dS vs AdS.