Average Error: 0.4 → 0.1
Time: 10.0s
Precision: 64
\[\frac{1}{\left(x + 2\right) \cdot \left(x - 2\right)}\]
\[\frac{\frac{1}{x + 2}}{x - 2}\]
\frac{1}{\left(x + 2\right) \cdot \left(x - 2\right)}
\frac{\frac{1}{x + 2}}{x - 2}
double f(double x) {
        double r29921 = 1.0;
        double r29922 = x;
        double r29923 = 2.0;
        double r29924 = r29922 + r29923;
        double r29925 = r29922 - r29923;
        double r29926 = r29924 * r29925;
        double r29927 = r29921 / r29926;
        return r29927;
}

double f(double x) {
        double r29928 = 1.0;
        double r29929 = x;
        double r29930 = 2.0;
        double r29931 = r29929 + r29930;
        double r29932 = r29928 / r29931;
        double r29933 = r29929 - r29930;
        double r29934 = r29932 / r29933;
        return r29934;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.4

    \[\frac{1}{\left(x + 2\right) \cdot \left(x - 2\right)}\]
  2. Using strategy rm
  3. Applied associate-/r*0.1

    \[\leadsto \color{blue}{\frac{\frac{1}{x + 2}}{x - 2}}\]
  4. Final simplification0.1

    \[\leadsto \frac{\frac{1}{x + 2}}{x - 2}\]

Reproduce

herbie shell --seed 1 
(FPCore (x)
  :name "1/((x+2)(x-2))"
  :precision binary64
  (/ 1 (* (+ x 2) (- x 2))))