Average Error: 0.1 → 0.1
Time: 2.4s
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 r83504 = x;
        double r83505 = r83504 * r83504;
        double r83506 = 3.0;
        double r83507 = r83505 - r83506;
        double r83508 = 6.0;
        double r83509 = r83507 / r83508;
        return r83509;
}
↓
double f(double x) {
        double r83510 = x;
        double r83511 = r83510 * r83510;
        double r83512 = 3.0;
        double r83513 = r83511 - r83512;
        double r83514 = 6.0;
        double r83515 = r83513 / r83514;
        return r83515;
}

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