Average Error: 0.0 → 0.0
Time: 18.9s
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 r760685 = f;
        double r760686 = n;
        double r760687 = r760685 + r760686;
        double r760688 = -r760687;
        double r760689 = r760685 - r760686;
        double r760690 = r760688 / r760689;
        return r760690;
}
↓
double f(double f, double n) {
        double r760691 = -1.0;
        double r760692 = f;
        double r760693 = n;
        double r760694 = r760692 - r760693;
        double r760695 = r760692 + r760693;
        double r760696 = r760694 / r760695;
        double r760697 = r760691 / r760696;
        return r760697;
}

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 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))