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As Karsten notes in a comment I believe you are confusing floating point and integer registers. Compare: $MaxMachineNumber Developer`$MaxMachineInteger 1.79769*10^308 9223372036854775807 (Results from v10 x86-64.) This "works": Compile[{}, 3.14*^300][] 3.14*10^300 This does not: Compile[{}, 3.14*10^300][] CompiledFunction::cfn: ...


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In Mathematica 10.0: MandelbrotSetPlot[{-2 - I, 1 + I}] (Admittedly, this doesn't address what's wrong with the code in the original question, but if you just want to get a Mandelbrot set plot, surely a built-in function is likely to be reasonably efficient.)



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