Average Error: 0.2 → 0.2
Time: 27.0s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
↓
\[\frac{x \cdot x}{6} - \frac{3}{6}\]
\frac{x \cdot x - 3}{6}
↓
\frac{x \cdot x}{6} - \frac{3}{6}
double f(double x) {
        double r60910 = x;
        double r60911 = r60910 * r60910;
        double r60912 = 3.0;
        double r60913 = r60911 - r60912;
        double r60914 = 6.0;
        double r60915 = r60913 / r60914;
        return r60915;
}
↓
double f(double x) {
        double r60916 = x;
        double r60917 = r60916 * r60916;
        double r60918 = 6.0;
        double r60919 = r60917 / r60918;
        double r60920 = 3.0;
        double r60921 = r60920 / r60918;
        double r60922 = r60919 - r60921;
        return r60922;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{x \cdot x - 3}{6}\]
  2. Using strategy rm

  3. Applied div-sub0.2

    \[\leadsto \color{blue}{\frac{x \cdot x}{6} - \frac{3}{6}}\]

  4. Final simplification0.2

    \[\leadsto \frac{x \cdot x}{6} - \frac{3}{6}\]

Reproduce

herbie shell --seed 2019202 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3) 6))