Average Error: 0.0 → 0.0
Time: 13.4s
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 r35223 = f;
        double r35224 = n;
        double r35225 = r35223 + r35224;
        double r35226 = -r35225;
        double r35227 = r35223 - r35224;
        double r35228 = r35226 / r35227;
        return r35228;
}
↓
double f(double f, double n) {
        double r35229 = -1.0;
        double r35230 = f;
        double r35231 = n;
        double r35232 = r35230 - r35231;
        double r35233 = r35230 + r35231;
        double r35234 = r35232 / r35233;
        double r35235 = r35229 / r35234;
        return r35235;
}

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 2019195 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))