Average Error: 0.0 → 0.0
Time: 17.0s
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 r83723 = x;
        double r83724 = 2.30753;
        double r83725 = 0.27061;
        double r83726 = r83723 * r83725;
        double r83727 = r83724 + r83726;
        double r83728 = 1.0;
        double r83729 = 0.99229;
        double r83730 = 0.04481;
        double r83731 = r83723 * r83730;
        double r83732 = r83729 + r83731;
        double r83733 = r83732 * r83723;
        double r83734 = r83728 + r83733;
        double r83735 = r83727 / r83734;
        double r83736 = r83723 - r83735;
        return r83736;
}
↓
double f(double x) {
        double r83737 = x;
        double r83738 = 2.30753;
        double r83739 = 0.27061;
        double r83740 = r83737 * r83739;
        double r83741 = r83738 + r83740;
        double r83742 = 1.0;
        double r83743 = 0.99229;
        double r83744 = 0.04481;
        double r83745 = r83737 * r83744;
        double r83746 = r83743 + r83745;
        double r83747 = r83746 * r83737;
        double r83748 = r83742 + r83747;
        double r83749 = r83741 / r83748;
        double r83750 = r83737 - r83749;
        return r83750;
}

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 2019306 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  :precision binary64
  (- x (/ (+ 2.30753 (* x 0.27061000000000002)) (+ 1 (* (+ 0.992290000000000005 (* x 0.044810000000000003)) x)))))