Average Error: 0.0 → 0.0
Time: 16.7s
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 r515349 = f;
        double r515350 = n;
        double r515351 = r515349 + r515350;
        double r515352 = -r515351;
        double r515353 = r515349 - r515350;
        double r515354 = r515352 / r515353;
        return r515354;
}
↓
double f(double f, double n) {
        double r515355 = -1.0;
        double r515356 = f;
        double r515357 = n;
        double r515358 = r515356 - r515357;
        double r515359 = r515356 + r515357;
        double r515360 = r515358 / r515359;
        double r515361 = r515355 / r515360;
        return r515361;
}

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 2019130 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))