Average Error: 0.0 → 0.0
Time: 14.5s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{\frac{-1}{f - n}}{\frac{1}{f + n}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{\frac{-1}{f - n}}{\frac{1}{f + n}}
double f(double f, double n) {
        double r20037 = f;
        double r20038 = n;
        double r20039 = r20037 + r20038;
        double r20040 = -r20039;
        double r20041 = r20037 - r20038;
        double r20042 = r20040 / r20041;
        return r20042;
}
↓
double f(double f, double n) {
        double r20043 = -1.0;
        double r20044 = f;
        double r20045 = n;
        double r20046 = r20044 - r20045;
        double r20047 = r20043 / r20046;
        double r20048 = 1.0;
        double r20049 = r20044 + r20045;
        double r20050 = r20048 / r20049;
        double r20051 = r20047 / r20050;
        return r20051;
}

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. Using strategy rm

  6. Applied div-inv0.2

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

  7. Applied associate-/r*0.0

    \[\leadsto \color{blue}{\frac{\frac{-1}{f - n}}{\frac{1}{f + n}}}\]

  8. Final simplification0.0

    \[\leadsto \frac{\frac{-1}{f - n}}{\frac{1}{f + n}}\]

Reproduce

herbie shell --seed 2019306 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))