Average Error: 0.0 → 0.0
Time: 12.8s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-1}{\frac{f}{f + n} - \frac{1}{\frac{f + n}{n}}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-1}{\frac{f}{f + n} - \frac{1}{\frac{f + n}{n}}}
double f(double f, double n) {
        double r927620 = f;
        double r927621 = n;
        double r927622 = r927620 + r927621;
        double r927623 = -r927622;
        double r927624 = r927620 - r927621;
        double r927625 = r927623 / r927624;
        return r927625;
}
↓
double f(double f, double n) {
        double r927626 = -1.0;
        double r927627 = f;
        double r927628 = n;
        double r927629 = r927627 + r927628;
        double r927630 = r927627 / r927629;
        double r927631 = 1.0;
        double r927632 = r927629 / r927628;
        double r927633 = r927631 / r927632;
        double r927634 = r927630 - r927633;
        double r927635 = r927626 / r927634;
        return r927635;
}

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. Using strategy rm

  6. Applied div-sub0.0

    \[\leadsto \frac{-1}{\color{blue}{\frac{f}{f + n} - \frac{n}{f + n}}}\]
  7. Using strategy rm

  8. Applied clear-num0.0

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

  9. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))