Average Error: 0.0 → 0.0
Time: 16.4s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[-\frac{n + f}{f - n}\]
\frac{-\left(f + n\right)}{f - n}
↓
-\frac{n + f}{f - n}
double f(double f, double n) {
        double r716888 = f;
        double r716889 = n;
        double r716890 = r716888 + r716889;
        double r716891 = -r716890;
        double r716892 = r716888 - r716889;
        double r716893 = r716891 / r716892;
        return r716893;
}
↓
double f(double f, double n) {
        double r716894 = n;
        double r716895 = f;
        double r716896 = r716894 + r716895;
        double r716897 = r716895 - r716894;
        double r716898 = r716896 / r716897;
        double r716899 = -r716898;
        return r716899;
}

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-inv0.0

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

  7. Simplified0.0

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

  8. Final simplification0.0

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

Reproduce

herbie shell --seed 2019144 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))