Average Error: 0.2 → 0.2
Time: 1.7s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
↓
\[\frac{x \cdot x - 3}{6}\]
\frac{x \cdot x - 3}{6}
↓
\frac{x \cdot x - 3}{6}
double f(double x) {
        double r78707 = x;
        double r78708 = r78707 * r78707;
        double r78709 = 3.0;
        double r78710 = r78708 - r78709;
        double r78711 = 6.0;
        double r78712 = r78710 / r78711;
        return r78712;
}
↓
double f(double x) {
        double r78713 = x;
        double r78714 = r78713 * r78713;
        double r78715 = 3.0;
        double r78716 = r78714 - r78715;
        double r78717 = 6.0;
        double r78718 = r78716 / r78717;
        return r78718;
}

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2020057 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))