Average Error: 0.2 → 0.2
Time: 2.3s
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 r90094 = x;
        double r90095 = r90094 * r90094;
        double r90096 = 3.0;
        double r90097 = r90095 - r90096;
        double r90098 = 6.0;
        double r90099 = r90097 / r90098;
        return r90099;
}
↓
double f(double x) {
        double r90100 = x;
        double r90101 = r90100 * r90100;
        double r90102 = 3.0;
        double r90103 = r90101 - r90102;
        double r90104 = 1.0;
        double r90105 = 6.0;
        double r90106 = r90104 / r90105;
        double r90107 = r90103 * r90106;
        return r90107;
}

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-inv0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2020047 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))