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@ZachPruckowski: the 187th fibonacci number cannot be expressed in one 128-bit register, which renders the point rather moot.
The point is that physical limitation of the machine can and will increase computational time, and can make things inaccurate. Not realizing that fibonacci sequence can quickly exceed your register size can lead to unexpected increase in computational time, and not taking care while calculating your floating point calculation can cause erroneous results.
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