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I did not check further, but i would say that the plot function is using matplotlib and that the latter uses double floating-point numbers (with 53 bits of precision). So, what i temporarly suggest is to shift your finction as follow to get more precision:

sage: ff(x) = f(x)-2.97919787636599e7
sage: g = fast_callable(ff, vars=[x], domain=R)
sage: plot( g, (x,0,2))

This solution is not completely satisfactory, but at least, you will get something much rounder.

I did not check further, but i would say that the plot function is using matplotlib and that the latter uses double floating-point numbers (with 53 bits of precision). So, what i temporarly suggest is to shift your finction as follow to get more precision:

sage: ff(x) = f(x)-2.97919787636599e7
sage: g = fast_callable(ff, vars=[x], domain=R)
sage: plot( g, (x,0,2))

This workaround solution is not completely satisfactory, but at least, you will get something much rounder.rounder: