Average Error: 0.1 → 0.1
Time: 30.6s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
↓
\[\frac{x \cdot x}{6} - \frac{3}{6}\]
\frac{x \cdot x - 3}{6}
↓
\frac{x \cdot x}{6} - \frac{3}{6}
double f(double x) {
        double r76599 = x;
        double r76600 = r76599 * r76599;
        double r76601 = 3.0;
        double r76602 = r76600 - r76601;
        double r76603 = 6.0;
        double r76604 = r76602 / r76603;
        return r76604;
}
↓
double f(double x) {
        double r76605 = x;
        double r76606 = r76605 * r76605;
        double r76607 = 6.0;
        double r76608 = r76606 / r76607;
        double r76609 = 3.0;
        double r76610 = r76609 / r76607;
        double r76611 = r76608 - r76610;
        return r76611;
}

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. Using strategy rm

  3. Applied div-sub0.1

    \[\leadsto \color{blue}{\frac{x \cdot x}{6} - \frac{3}{6}}\]

  4. Final simplification0.1

    \[\leadsto \frac{x \cdot x}{6} - \frac{3}{6}\]

Reproduce

herbie shell --seed 2019200 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3) 6))