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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\frac{1}{\sqrt{x + 1} - \sqrt{x}}

\frac{\sqrt{1 + x} + \sqrt{x}}{x + \left(1 - x\right)}