Average Error: 0.0 → 0.0
Time: 14.6s
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 r853341 = f;
        double r853342 = n;
        double r853343 = r853341 + r853342;
        double r853344 = -r853343;
        double r853345 = r853341 - r853342;
        double r853346 = r853344 / r853345;
        return r853346;
}
↓
double f(double f, double n) {
        double r853347 = -1.0;
        double r853348 = f;
        double r853349 = n;
        double r853350 = r853348 - r853349;
        double r853351 = r853348 + r853349;
        double r853352 = r853350 / r853351;
        double r853353 = r853347 / r853352;
        return r853353;
}

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)))