Average Error: 0.2 → 0.2
Time: 13.5s
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 r4234705 = x;
        double r4234706 = r4234705 * r4234705;
        double r4234707 = 3.0;
        double r4234708 = r4234706 - r4234707;
        double r4234709 = 6.0;
        double r4234710 = r4234708 / r4234709;
        return r4234710;
}
↓
double f(double x) {
        double r4234711 = 1.0;
        double r4234712 = 6.0;
        double r4234713 = x;
        double r4234714 = r4234713 * r4234713;
        double r4234715 = 3.0;
        double r4234716 = r4234714 - r4234715;
        double r4234717 = r4234712 / r4234716;
        double r4234718 = r4234711 / r4234717;
        return r4234718;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{x \cdot x - 3}{6}\]
  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 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))