sqrt(x + 1) - sqrt(x)

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

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

real(8) function code(x)
    real(8), intent (in) :: x
    code = sqrt((x + 1.0d0)) - sqrt(x)
end function

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

def code(x):
	return math.sqrt((x + 1.0)) - math.sqrt(x)

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

function tmp = code(x)
	tmp = sqrt((x + 1.0)) - sqrt(x);
end

code[x_] := N[(N[Sqrt[N[(x + 1.0), $MachinePrecision]], $MachinePrecision] - N[Sqrt[x], $MachinePrecision]), $MachinePrecision]

\begin{array}{l}

\\
\sqrt{x + 1} - \sqrt{x}
\end{array}

(FPCore (x) :precision binary64 (/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x)))))

double code(double x) {
	return 1.0 / (sqrt(x) + sqrt((1.0 + x)));
}

real(8) function code(x)
    real(8), intent (in) :: x
    code = 1.0d0 / (sqrt(x) + sqrt((1.0d0 + x)))
end function

public static double code(double x) {
	return 1.0 / (Math.sqrt(x) + Math.sqrt((1.0 + x)));
}

def code(x):
	return 1.0 / (math.sqrt(x) + math.sqrt((1.0 + x)))

function code(x)
	return Float64(1.0 / Float64(sqrt(x) + sqrt(Float64(1.0 + x))))
end

function tmp = code(x)
	tmp = 1.0 / (sqrt(x) + sqrt((1.0 + x)));
end

code[x_] := N[(1.0 / N[(N[Sqrt[x], $MachinePrecision] + N[Sqrt[N[(1.0 + x), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

\begin{array}{l}

\\
\frac{1}{\sqrt{x} + \sqrt{1 + x}}
\end{array}

(FPCore (x) :precision binary64 (pow (+ (sqrt x) 1.0) -1.0))

double code(double x) {
	return pow((sqrt(x) + 1.0), -1.0);
}

real(8) function code(x)
    real(8), intent (in) :: x
    code = (sqrt(x) + 1.0d0) ** (-1.0d0)
end function

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

def code(x):
	return math.pow((math.sqrt(x) + 1.0), -1.0)

function code(x)
	return Float64(sqrt(x) + 1.0) ^ -1.0
end

function tmp = code(x)
	tmp = (sqrt(x) + 1.0) ^ -1.0;
end

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

\begin{array}{l}

\\
{\left(\sqrt{x} + 1\right)}^{-1}
\end{array}

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

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

real(8) function code(x)
    real(8), intent (in) :: x
    code = sqrt((x + 1.0d0)) - sqrt(x)
end function

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

def code(x):
	return math.sqrt((x + 1.0)) - math.sqrt(x)

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

function tmp = code(x)
	tmp = sqrt((x + 1.0)) - sqrt(x);
end

code[x_] := N[(N[Sqrt[N[(x + 1.0), $MachinePrecision]], $MachinePrecision] - N[Sqrt[x], $MachinePrecision]), $MachinePrecision]

\begin{array}{l}

\\
\sqrt{x + 1} - \sqrt{x}
\end{array}

(FPCore (x) :precision binary64 (fma 0.5 x (- 1.0 (sqrt x))))

double code(double x) {
	return fma(0.5, x, (1.0 - sqrt(x)));
}

function code(x)
	return fma(0.5, x, Float64(1.0 - sqrt(x)))
end

code[x_] := N[(0.5 * x + N[(1.0 - N[Sqrt[x], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

\begin{array}{l}

\\
\mathsf{fma}\left(0.5, x, 1 - \sqrt{x}\right)
\end{array}

(FPCore (x) :precision binary64 0.0)

double code(double x) {
	return 0.0;
}

real(8) function code(x)
    real(8), intent (in) :: x
    code = 0.0d0
end function

public static double code(double x) {
	return 0.0;
}

def code(x):
	return 0.0

function code(x)
	return 0.0
end

function tmp = code(x)
	tmp = 0.0;
end

code[x_] := 0.0

\begin{array}{l}

\\
0
\end{array}