Average Error: 0.0 → 0.0
Time: 12.7s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-1}{\frac{f}{f + n} - \frac{n}{f + n}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-1}{\frac{f}{f + n} - \frac{n}{f + n}}
double f(double f, double n) {
        double r954742 = f;
        double r954743 = n;
        double r954744 = r954742 + r954743;
        double r954745 = -r954744;
        double r954746 = r954742 - r954743;
        double r954747 = r954745 / r954746;
        return r954747;
}
↓
double f(double f, double n) {
        double r954748 = -1.0;
        double r954749 = f;
        double r954750 = n;
        double r954751 = r954749 + r954750;
        double r954752 = r954749 / r954751;
        double r954753 = r954750 / r954751;
        double r954754 = r954752 - r954753;
        double r954755 = r954748 / r954754;
        return r954755;
}

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. Using strategy rm

  6. Applied div-sub0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019165 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))