Exception for 2cbrt (problem 3.3.4)

Specification

\[\begin{array}{l} \\ \sqrt[3]{x + 1} - \sqrt[3]{x} \end{array} \]

(FPCore (x) :precision binary64 (- (cbrt (+ x 1.0)) (cbrt x)))

double code(double x) {
	return cbrt((x + 1.0)) - cbrt(x);
}

public static double code(double x) {
	return Math.cbrt((x + 1.0)) - Math.cbrt(x);
}

function code(x)
	return Float64(cbrt(Float64(x + 1.0)) - cbrt(x))
end

code[x_] := N[(N[Power[N[(x + 1.0), $MachinePrecision], 1/3], $MachinePrecision] - N[Power[x, 1/3], $MachinePrecision]), $MachinePrecision]

\begin{array}{l}

\\
\sqrt[3]{x + 1} - \sqrt[3]{x}
\end{array}