Average Error: 0.0 → 0.0
Time: 29.6s
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 r860295 = f;
        double r860296 = n;
        double r860297 = r860295 + r860296;
        double r860298 = -r860297;
        double r860299 = r860295 - r860296;
        double r860300 = r860298 / r860299;
        return r860300;
}
↓
double f(double f, double n) {
        double r860301 = -1.0;
        double r860302 = f;
        double r860303 = n;
        double r860304 = r860302 - r860303;
        double r860305 = r860302 + r860303;
        double r860306 = r860304 / r860305;
        double r860307 = r860301 / r860306;
        return r860307;
}

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 2019168 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))