Average Error: 0.0 → 0.0
Time: 36.7s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-1}{\frac{f - n}{f + n}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-1}{\frac{f - n}{f + n}}
double f(double f, double n) {
        double r818825 = f;
        double r818826 = n;
        double r818827 = r818825 + r818826;
        double r818828 = -r818827;
        double r818829 = r818825 - r818826;
        double r818830 = r818828 / r818829;
        return r818830;
}
↓
double f(double f, double n) {
        double r818831 = -1.0;
        double r818832 = f;
        double r818833 = n;
        double r818834 = r818832 - r818833;
        double r818835 = r818832 + r818833;
        double r818836 = r818834 / r818835;
        double r818837 = r818831 / r818836;
        return r818837;
}

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. Using strategy rm

  3. Applied neg-mul-10.0

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

  4. Applied associate-/l*0.0

    \[\leadsto \color{blue}{\frac{-1}{\frac{f - n}{f + n}}}\]

  5. Final simplification0.0

    \[\leadsto \frac{-1}{\frac{f - n}{f + n}}\]

Reproduce

herbie shell --seed 2019151 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))