Average Error: 0.0 → 0.0
Time: 11.9s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-\left(f + n\right)}{f - n}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-\left(f + n\right)}{f - n}
double f(double f, double n) {
        double r23695 = f;
        double r23696 = n;
        double r23697 = r23695 + r23696;
        double r23698 = -r23697;
        double r23699 = r23695 - r23696;
        double r23700 = r23698 / r23699;
        return r23700;
}
↓
double f(double f, double n) {
        double r23701 = f;
        double r23702 = n;
        double r23703 = r23701 + r23702;
        double r23704 = -r23703;
        double r23705 = r23701 - r23702;
        double r23706 = r23704 / r23705;
        return r23706;
}

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 clear-num0.0

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

  4. Final simplification0.0

    \[\leadsto \frac{-\left(f + n\right)}{f - n}\]

Reproduce

herbie shell --seed 2019303 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))