Average Error: 0.0 → 0.0
Time: 13.6s
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 r496285 = f;
        double r496286 = n;
        double r496287 = r496285 + r496286;
        double r496288 = -r496287;
        double r496289 = r496285 - r496286;
        double r496290 = r496288 / r496289;
        return r496290;
}
↓
double f(double f, double n) {
        double r496291 = -1.0;
        double r496292 = f;
        double r496293 = n;
        double r496294 = r496292 - r496293;
        double r496295 = r496292 + r496293;
        double r496296 = r496294 / r496295;
        double r496297 = r496291 / r496296;
        return r496297;
}

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 2019132 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))