Average Error: 0.1 → 0.1
Time: 2.1s
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 r73440 = x;
        double r73441 = r73440 * r73440;
        double r73442 = 3.0;
        double r73443 = r73441 - r73442;
        double r73444 = 6.0;
        double r73445 = r73443 / r73444;
        return r73445;
}
↓
double f(double x) {
        double r73446 = x;
        double r73447 = r73446 * r73446;
        double r73448 = 3.0;
        double r73449 = r73447 - r73448;
        double r73450 = 6.0;
        double r73451 = r73449 / r73450;
        return r73451;
}

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 2020021 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))