Average Error: 0.0 → 0.0
Time: 11.3s
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 r4304688 = x;
        double r4304689 = 2.30753;
        double r4304690 = 0.27061;
        double r4304691 = r4304688 * r4304690;
        double r4304692 = r4304689 + r4304691;
        double r4304693 = 1.0;
        double r4304694 = 0.99229;
        double r4304695 = 0.04481;
        double r4304696 = r4304688 * r4304695;
        double r4304697 = r4304694 + r4304696;
        double r4304698 = r4304697 * r4304688;
        double r4304699 = r4304693 + r4304698;
        double r4304700 = r4304692 / r4304699;
        double r4304701 = r4304688 - r4304700;
        return r4304701;
}
↓
double f(double x) {
        double r4304702 = x;
        double r4304703 = 2.30753;
        double r4304704 = 0.27061;
        double r4304705 = r4304702 * r4304704;
        double r4304706 = r4304703 + r4304705;
        double r4304707 = 0.04481;
        double r4304708 = r4304707 * r4304702;
        double r4304709 = 0.99229;
        double r4304710 = r4304708 + r4304709;
        double r4304711 = r4304710 * r4304702;
        double r4304712 = 1.0;
        double r4304713 = r4304711 + r4304712;
        double r4304714 = r4304706 / r4304713;
        double r4304715 = r4304702 - r4304714;
        return r4304715;
}

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 2019158 
(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)))))