Average Error: 0.0 → 0.0
Time: 14.2s
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 r18977 = f;
        double r18978 = n;
        double r18979 = r18977 + r18978;
        double r18980 = -r18979;
        double r18981 = r18977 - r18978;
        double r18982 = r18980 / r18981;
        return r18982;
}
↓
double f(double f, double n) {
        double r18983 = -1.0;
        double r18984 = f;
        double r18985 = n;
        double r18986 = r18984 - r18985;
        double r18987 = r18984 + r18985;
        double r18988 = r18986 / r18987;
        double r18989 = r18983 / r18988;
        return r18989;
}

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 *-un-lft-identity0.0

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

  4. Applied distribute-lft-neg-in0.0

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

  5. Applied associate-/l*0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019303 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))