Average Error: 0.0 → 0.0
Time: 11.4s
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 r857051 = f;
        double r857052 = n;
        double r857053 = r857051 + r857052;
        double r857054 = -r857053;
        double r857055 = r857051 - r857052;
        double r857056 = r857054 / r857055;
        return r857056;
}
↓
double f(double f, double n) {
        double r857057 = -1.0;
        double r857058 = f;
        double r857059 = n;
        double r857060 = r857058 - r857059;
        double r857061 = r857058 + r857059;
        double r857062 = r857060 / r857061;
        double r857063 = r857057 / r857062;
        return r857063;
}

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 2019192 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))