Have you already noticed that error messages (on julia 
0.3.0-prerelease+1419) for sqrt(-1) and sqrt(-1.0) are different?
Here:

julia> sqrt(-1)
ERROR: DomainError

julia> sqrt(-1.0)
ERROR: DomainError
sqrt will only return a complex result if called with a complex argument.
try sqrt(complex(x))
 in sqrt at math.jl:277

Is it a bug?

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