Average Error: 0.0 → 0.0
Time: 22.1s
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 r813139 = f;
        double r813140 = n;
        double r813141 = r813139 + r813140;
        double r813142 = -r813141;
        double r813143 = r813139 - r813140;
        double r813144 = r813142 / r813143;
        return r813144;
}
↓
double f(double f, double n) {
        double r813145 = -1.0;
        double r813146 = f;
        double r813147 = n;
        double r813148 = r813146 - r813147;
        double r813149 = r813146 + r813147;
        double r813150 = r813148 / r813149;
        double r813151 = r813145 / r813150;
        return r813151;
}

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 2019146 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))