Average Error: 0.0 → 0.0
Time: 8.3s
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 r74752 = x;
        double r74753 = 2.30753;
        double r74754 = 0.27061;
        double r74755 = r74752 * r74754;
        double r74756 = r74753 + r74755;
        double r74757 = 1.0;
        double r74758 = 0.99229;
        double r74759 = 0.04481;
        double r74760 = r74752 * r74759;
        double r74761 = r74758 + r74760;
        double r74762 = r74761 * r74752;
        double r74763 = r74757 + r74762;
        double r74764 = r74756 / r74763;
        double r74765 = r74752 - r74764;
        return r74765;
}
↓
double f(double x) {
        double r74766 = x;
        double r74767 = 2.30753;
        double r74768 = 0.27061;
        double r74769 = r74766 * r74768;
        double r74770 = r74767 + r74769;
        double r74771 = 1.0;
        double r74772 = 0.99229;
        double r74773 = 0.04481;
        double r74774 = r74766 * r74773;
        double r74775 = r74772 + r74774;
        double r74776 = r74775 * r74766;
        double r74777 = r74771 + r74776;
        double r74778 = r74770 / r74777;
        double r74779 = r74766 - r74778;
        return r74779;
}

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 2019322 
(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)))))