Average Error: 0.0 → 0.0
Time: 11.0s
Precision: 64
\[x - \frac{2.30753 + x \cdot 0.27061}{1.0 + \left(0.99229 + x \cdot 0.04481\right) \cdot x}\]
↓
\[x - \frac{2.30753 + x \cdot 0.27061}{\left(0.04481 \cdot x + 0.99229\right) \cdot x + 1.0}\]
x - \frac{2.30753 + x \cdot 0.27061}{1.0 + \left(0.99229 + x \cdot 0.04481\right) \cdot x}
↓
x - \frac{2.30753 + x \cdot 0.27061}{\left(0.04481 \cdot x + 0.99229\right) \cdot x + 1.0}
double f(double x) {
        double r4882883 = x;
        double r4882884 = 2.30753;
        double r4882885 = 0.27061;
        double r4882886 = r4882883 * r4882885;
        double r4882887 = r4882884 + r4882886;
        double r4882888 = 1.0;
        double r4882889 = 0.99229;
        double r4882890 = 0.04481;
        double r4882891 = r4882883 * r4882890;
        double r4882892 = r4882889 + r4882891;
        double r4882893 = r4882892 * r4882883;
        double r4882894 = r4882888 + r4882893;
        double r4882895 = r4882887 / r4882894;
        double r4882896 = r4882883 - r4882895;
        return r4882896;
}
↓
double f(double x) {
        double r4882897 = x;
        double r4882898 = 2.30753;
        double r4882899 = 0.27061;
        double r4882900 = r4882897 * r4882899;
        double r4882901 = r4882898 + r4882900;
        double r4882902 = 0.04481;
        double r4882903 = r4882902 * r4882897;
        double r4882904 = 0.99229;
        double r4882905 = r4882903 + r4882904;
        double r4882906 = r4882905 * r4882897;
        double r4882907 = 1.0;
        double r4882908 = r4882906 + r4882907;
        double r4882909 = r4882901 / r4882908;
        double r4882910 = r4882897 - r4882909;
        return r4882910;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x - \frac{2.30753 + x \cdot 0.27061}{1.0 + \left(0.99229 + x \cdot 0.04481\right) \cdot x}\]

  2. Final simplification0.0

    \[\leadsto x - \frac{2.30753 + x \cdot 0.27061}{\left(0.04481 \cdot x + 0.99229\right) \cdot x + 1.0}\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))