Average Error: 0.0 → 0.0
Time: 11.5s
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 r652395 = f;
        double r652396 = n;
        double r652397 = r652395 + r652396;
        double r652398 = -r652397;
        double r652399 = r652395 - r652396;
        double r652400 = r652398 / r652399;
        return r652400;
}
↓
double f(double f, double n) {
        double r652401 = -1.0;
        double r652402 = f;
        double r652403 = n;
        double r652404 = r652402 - r652403;
        double r652405 = r652402 + r652403;
        double r652406 = r652404 / r652405;
        double r652407 = r652401 / r652406;
        return r652407;
}

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 2019169 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))