Average Error: 0.1 → 0.1
Time: 2.0s
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 r73319 = x;
        double r73320 = r73319 * r73319;
        double r73321 = 3.0;
        double r73322 = r73320 - r73321;
        double r73323 = 6.0;
        double r73324 = r73322 / r73323;
        return r73324;
}
↓
double f(double x) {
        double r73325 = x;
        double r73326 = r73325 * r73325;
        double r73327 = 3.0;
        double r73328 = r73326 - r73327;
        double r73329 = 6.0;
        double r73330 = r73328 / r73329;
        return r73330;
}

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 2019353 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))