Average Error: 0.1 → 0.1
Time: 2.7s
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 r71677 = x;
        double r71678 = r71677 * r71677;
        double r71679 = 3.0;
        double r71680 = r71678 - r71679;
        double r71681 = 6.0;
        double r71682 = r71680 / r71681;
        return r71682;
}
↓
double f(double x) {
        double r71683 = x;
        double r71684 = r71683 * r71683;
        double r71685 = 3.0;
        double r71686 = r71684 - r71685;
        double r71687 = 6.0;
        double r71688 = r71686 / r71687;
        return r71688;
}

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 2020035 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))