Average Error: 0.0 → 0.0
Time: 984.0ms
Precision: 64
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]
↓
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]
x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}
↓
x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}
double f(double x) {
        double r70814 = x;
        double r70815 = 2.30753;
        double r70816 = 0.27061;
        double r70817 = r70814 * r70816;
        double r70818 = r70815 + r70817;
        double r70819 = 1.0;
        double r70820 = 0.99229;
        double r70821 = 0.04481;
        double r70822 = r70814 * r70821;
        double r70823 = r70820 + r70822;
        double r70824 = r70823 * r70814;
        double r70825 = r70819 + r70824;
        double r70826 = r70818 / r70825;
        double r70827 = r70814 - r70826;
        return r70827;
}
↓
double f(double x) {
        double r70828 = x;
        double r70829 = 2.30753;
        double r70830 = 0.27061;
        double r70831 = r70828 * r70830;
        double r70832 = r70829 + r70831;
        double r70833 = 1.0;
        double r70834 = 0.99229;
        double r70835 = 0.04481;
        double r70836 = r70828 * r70835;
        double r70837 = r70834 + r70836;
        double r70838 = r70837 * r70828;
        double r70839 = r70833 + r70838;
        double r70840 = r70832 / r70839;
        double r70841 = r70828 - r70840;
        return r70841;
}

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

    \[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]

  2. Final simplification0.0

    \[\leadsto x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]

Reproduce

herbie shell --seed 2020001 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  :precision binary64
  (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1 (* (+ 0.99229 (* x 0.04481)) x)))))