Average Error: 0.0 → 0.0
Time: 28.4s
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 r6530740 = x;
        double r6530741 = 2.30753;
        double r6530742 = 0.27061;
        double r6530743 = r6530740 * r6530742;
        double r6530744 = r6530741 + r6530743;
        double r6530745 = 1.0;
        double r6530746 = 0.99229;
        double r6530747 = 0.04481;
        double r6530748 = r6530740 * r6530747;
        double r6530749 = r6530746 + r6530748;
        double r6530750 = r6530749 * r6530740;
        double r6530751 = r6530745 + r6530750;
        double r6530752 = r6530744 / r6530751;
        double r6530753 = r6530740 - r6530752;
        return r6530753;
}
↓
double f(double x) {
        double r6530754 = x;
        double r6530755 = 2.30753;
        double r6530756 = 0.27061;
        double r6530757 = r6530754 * r6530756;
        double r6530758 = r6530755 + r6530757;
        double r6530759 = 0.04481;
        double r6530760 = r6530759 * r6530754;
        double r6530761 = 0.99229;
        double r6530762 = r6530760 + r6530761;
        double r6530763 = r6530762 * r6530754;
        double r6530764 = 1.0;
        double r6530765 = r6530763 + r6530764;
        double r6530766 = r6530758 / r6530765;
        double r6530767 = r6530754 - r6530766;
        return r6530767;
}

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)))))