Thank you! I was intuitively sure this was the case (i.e., that you couldn't do markedly better than doubles when working with a fixed size of 64 bits) but I di

Thank you! I was intuitively sure this was the case (i.e., that you couldn't do markedly better than doubles when working with a fixed size of 64 bits) but I didn't see how to construct the pathological sequence like you did.