Average Error: 0.0 → 0.0
Time: 13.5s
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 r39231 = f;
        double r39232 = n;
        double r39233 = r39231 + r39232;
        double r39234 = -r39233;
        double r39235 = r39231 - r39232;
        double r39236 = r39234 / r39235;
        return r39236;
}
↓
double f(double f, double n) {
        double r39237 = -1.0;
        double r39238 = f;
        double r39239 = n;
        double r39240 = r39238 - r39239;
        double r39241 = r39238 + r39239;
        double r39242 = r39240 / r39241;
        double r39243 = r39237 / r39242;
        return r39243;
}

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. Simplified0.0

    \[\leadsto \color{blue}{\frac{-\left(n + f\right)}{f - n}}\]
  3. Using strategy rm

  4. Applied neg-mul-10.0

    \[\leadsto \frac{\color{blue}{-1 \cdot \left(n + f\right)}}{f - n}\]

  5. Applied associate-/l*0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019195 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))