Average Error: 0.0 → 0.0
Time: 36.4s
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 r1631328 = f;
        double r1631329 = n;
        double r1631330 = r1631328 + r1631329;
        double r1631331 = -r1631330;
        double r1631332 = r1631328 - r1631329;
        double r1631333 = r1631331 / r1631332;
        return r1631333;
}
↓
double f(double f, double n) {
        double r1631334 = n;
        double r1631335 = f;
        double r1631336 = r1631334 + r1631335;
        double r1631337 = r1631335 - r1631334;
        double r1631338 = r1631336 / r1631337;
        double r1631339 = -r1631338;
        return r1631339;
}

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 distribute-frac-neg0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019121 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))