Average Error: 0.1 → 0.1
Time: 2.1s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
↓
\[\left(x \cdot x - 3\right) \cdot \frac{1}{6}\]
\frac{x \cdot x - 3}{6}
↓
\left(x \cdot x - 3\right) \cdot \frac{1}{6}
double f(double x) {
        double r97904 = x;
        double r97905 = r97904 * r97904;
        double r97906 = 3.0;
        double r97907 = r97905 - r97906;
        double r97908 = 6.0;
        double r97909 = r97907 / r97908;
        return r97909;
}
↓
double f(double x) {
        double r97910 = x;
        double r97911 = r97910 * r97910;
        double r97912 = 3.0;
        double r97913 = r97911 - r97912;
        double r97914 = 1.0;
        double r97915 = 6.0;
        double r97916 = r97914 / r97915;
        double r97917 = r97913 * r97916;
        return r97917;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  3. Applied div-inv0.1

    \[\leadsto \color{blue}{\left(x \cdot x - 3\right) \cdot \frac{1}{6}}\]

  4. Final simplification0.1

    \[\leadsto \left(x \cdot x - 3\right) \cdot \frac{1}{6}\]

Reproduce

herbie shell --seed 2020039 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))