Average Error: 0.1 → 0.1
Time: 2.3s
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 r85167 = x;
        double r85168 = r85167 * r85167;
        double r85169 = 3.0;
        double r85170 = r85168 - r85169;
        double r85171 = 6.0;
        double r85172 = r85170 / r85171;
        return r85172;
}
↓
double f(double x) {
        double r85173 = x;
        double r85174 = r85173 * r85173;
        double r85175 = 3.0;
        double r85176 = r85174 - r85175;
        double r85177 = 6.0;
        double r85178 = r85176 / r85177;
        return r85178;
}

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 2020062 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))