Average Error: 0.1 → 0.2
Time: 29.1s
Precision: 64
\[\frac{x \cdot x - 3.0}{6.0}\]
↓
\[\left(x \cdot x - 3.0\right) \cdot \frac{1}{6.0}\]
\frac{x \cdot x - 3.0}{6.0}
↓
\left(x \cdot x - 3.0\right) \cdot \frac{1}{6.0}
double f(double x) {
        double r3796815 = x;
        double r3796816 = r3796815 * r3796815;
        double r3796817 = 3.0;
        double r3796818 = r3796816 - r3796817;
        double r3796819 = 6.0;
        double r3796820 = r3796818 / r3796819;
        return r3796820;
}
↓
double f(double x) {
        double r3796821 = x;
        double r3796822 = r3796821 * r3796821;
        double r3796823 = 3.0;
        double r3796824 = r3796822 - r3796823;
        double r3796825 = 1.0;
        double r3796826 = 6.0;
        double r3796827 = r3796825 / r3796826;
        double r3796828 = r3796824 * r3796827;
        return r3796828;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{x \cdot x - 3.0}{6.0}\]
  2. Using strategy rm

  3. Applied div-inv0.2

    \[\leadsto \color{blue}{\left(x \cdot x - 3.0\right) \cdot \frac{1}{6.0}}\]

  4. Final simplification0.2

    \[\leadsto \left(x \cdot x - 3.0\right) \cdot \frac{1}{6.0}\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))