Average Error: 0.0 → 0.0
Time: 12.4s
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 r21127 = f;
        double r21128 = n;
        double r21129 = r21127 + r21128;
        double r21130 = -r21129;
        double r21131 = r21127 - r21128;
        double r21132 = r21130 / r21131;
        return r21132;
}
↓
double f(double f, double n) {
        double r21133 = -1.0;
        double r21134 = f;
        double r21135 = n;
        double r21136 = r21134 - r21135;
        double r21137 = r21134 + r21135;
        double r21138 = r21136 / r21137;
        double r21139 = r21133 / r21138;
        return r21139;
}

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 2019199 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))