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 r106156 = x;
        double r106157 = r106156 * r106156;
        double r106158 = 3.0;
        double r106159 = r106157 - r106158;
        double r106160 = 6.0;
        double r106161 = r106159 / r106160;
        return r106161;
}
↓
double f(double x) {
        double r106162 = x;
        double r106163 = r106162 * r106162;
        double r106164 = 3.0;
        double r106165 = r106163 - r106164;
        double r106166 = 6.0;
        double r106167 = r106165 / r106166;
        return r106167;
}

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