Average Error: 0.2 → 0.2
Time: 12.8s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
↓
\[\frac{1}{\frac{6}{x \cdot x - 3}}\]
\frac{x \cdot x - 3}{6}
↓
\frac{1}{\frac{6}{x \cdot x - 3}}
double f(double x) {
        double r3543779 = x;
        double r3543780 = r3543779 * r3543779;
        double r3543781 = 3.0;
        double r3543782 = r3543780 - r3543781;
        double r3543783 = 6.0;
        double r3543784 = r3543782 / r3543783;
        return r3543784;
}
↓
double f(double x) {
        double r3543785 = 1.0;
        double r3543786 = 6.0;
        double r3543787 = x;
        double r3543788 = r3543787 * r3543787;
        double r3543789 = 3.0;
        double r3543790 = r3543788 - r3543789;
        double r3543791 = r3543786 / r3543790;
        double r3543792 = r3543785 / r3543791;
        return r3543792;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{x \cdot x - 3}{6}\]
  2. Using strategy rm

  3. Applied clear-num0.2

    \[\leadsto \color{blue}{\frac{1}{\frac{6}{x \cdot x - 3}}}\]

  4. Final simplification0.2

    \[\leadsto \frac{1}{\frac{6}{x \cdot x - 3}}\]

Reproduce

herbie shell --seed 2019170 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))