Average Error: 0.0 → 0.0
Time: 1.0s
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 r70833 = x;
        double r70834 = 2.30753;
        double r70835 = 0.27061;
        double r70836 = r70833 * r70835;
        double r70837 = r70834 + r70836;
        double r70838 = 1.0;
        double r70839 = 0.99229;
        double r70840 = 0.04481;
        double r70841 = r70833 * r70840;
        double r70842 = r70839 + r70841;
        double r70843 = r70842 * r70833;
        double r70844 = r70838 + r70843;
        double r70845 = r70837 / r70844;
        double r70846 = r70833 - r70845;
        return r70846;
}
↓
double f(double x) {
        double r70847 = x;
        double r70848 = 2.30753;
        double r70849 = 0.27061;
        double r70850 = r70847 * r70849;
        double r70851 = r70848 + r70850;
        double r70852 = 1.0;
        double r70853 = 0.99229;
        double r70854 = 0.04481;
        double r70855 = r70847 * r70854;
        double r70856 = r70853 + r70855;
        double r70857 = r70856 * r70847;
        double r70858 = r70852 + r70857;
        double r70859 = r70851 / r70858;
        double r70860 = r70847 - r70859;
        return r70860;
}

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)))))