Average Error: 0.1 → 0.1
Time: 2.6s
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 r70685 = x;
        double r70686 = r70685 * r70685;
        double r70687 = 3.0;
        double r70688 = r70686 - r70687;
        double r70689 = 6.0;
        double r70690 = r70688 / r70689;
        return r70690;
}
↓
double f(double x) {
        double r70691 = x;
        double r70692 = r70691 * r70691;
        double r70693 = 3.0;
        double r70694 = r70692 - r70693;
        double r70695 = 6.0;
        double r70696 = r70694 / r70695;
        return r70696;
}

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2020003 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))