Average Error: 0.0 → 0.0
Time: 2.1s
Precision: binary64
\[\frac{-\left(f + n\right)}{f - n} \]
↓
\[{\left(\frac{n}{n + f} - \frac{f}{n + f}\right)}^{-1} \]
(FPCore (f n) :precision binary64 (/ (- (+ f n)) (- f n)))
↓
(FPCore (f n) :precision binary64 (pow (- (/ n (+ n f)) (/ f (+ n f))) -1.0))
double code(double f, double n) {
	return -(f + n) / (f - n);
}
↓
double code(double f, double n) {
	return pow(((n / (n + f)) - (f / (n + f))), -1.0);
}

real(8) function code(f, n)
    real(8), intent (in) :: f
    real(8), intent (in) :: n
    code = -(f + n) / (f - n)
end function
↓
real(8) function code(f, n)
    real(8), intent (in) :: f
    real(8), intent (in) :: n
    code = ((n / (n + f)) - (f / (n + f))) ** (-1.0d0)
end function

public static double code(double f, double n) {
	return -(f + n) / (f - n);
}
↓
public static double code(double f, double n) {
	return Math.pow(((n / (n + f)) - (f / (n + f))), -1.0);
}

def code(f, n):
	return -(f + n) / (f - n)
↓
def code(f, n):
	return math.pow(((n / (n + f)) - (f / (n + f))), -1.0)

function code(f, n)
	return Float64(Float64(-Float64(f + n)) / Float64(f - n))
end
↓
function code(f, n)
	return Float64(Float64(n / Float64(n + f)) - Float64(f / Float64(n + f))) ^ -1.0
end

function tmp = code(f, n)
	tmp = -(f + n) / (f - n);
end
↓
function tmp = code(f, n)
	tmp = ((n / (n + f)) - (f / (n + f))) ^ -1.0;
end

code[f_, n_] := N[((-N[(f + n), $MachinePrecision]) / N[(f - n), $MachinePrecision]), $MachinePrecision]
↓
code[f_, n_] := N[Power[N[(N[(n / N[(n + f), $MachinePrecision]), $MachinePrecision] - N[(f / N[(n + f), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], -1.0], $MachinePrecision]

\frac{-\left(f + n\right)}{f - n}
↓
{\left(\frac{n}{n + f} - \frac{f}{n + f}\right)}^{-1}

Error

Bits error versus f

Bits error versus n

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{-\left(f + n\right)}{f - n} \]

  2. Simplified0.0

    \[\leadsto \color{blue}{\frac{f + n}{n - f}} \]

  3. Applied egg-rr0.0

    \[\leadsto \color{blue}{{\left(\frac{n - f}{f + n}\right)}^{-1}} \]

  4. Applied egg-rr0.0

    \[\leadsto {\color{blue}{\left(\frac{n}{n + f} - \frac{f}{n + f}\right)}}^{-1} \]

  5. Final simplification0.0

    \[\leadsto {\left(\frac{n}{n + f} - \frac{f}{n + f}\right)}^{-1} \]

Reproduce

herbie shell --seed 2022153 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))