Average Error: 0.0 → 0.0
Time: 9.4s
Precision: 64
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
↓
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
↓
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
double f(double x) {
        double r83758 = 2.30753;
        double r83759 = x;
        double r83760 = 0.27061;
        double r83761 = r83759 * r83760;
        double r83762 = r83758 + r83761;
        double r83763 = 1.0;
        double r83764 = 0.99229;
        double r83765 = 0.04481;
        double r83766 = r83759 * r83765;
        double r83767 = r83764 + r83766;
        double r83768 = r83759 * r83767;
        double r83769 = r83763 + r83768;
        double r83770 = r83762 / r83769;
        double r83771 = r83770 - r83759;
        return r83771;
}
↓
double f(double x) {
        double r83772 = 2.30753;
        double r83773 = x;
        double r83774 = 0.27061;
        double r83775 = r83773 * r83774;
        double r83776 = r83772 + r83775;
        double r83777 = 1.0;
        double r83778 = 0.99229;
        double r83779 = 0.04481;
        double r83780 = r83773 * r83779;
        double r83781 = r83778 + r83780;
        double r83782 = r83773 * r83781;
        double r83783 = r83777 + r83782;
        double r83784 = r83776 / r83783;
        double r83785 = r83784 - r83773;
        return r83785;
}

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

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019298 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  :precision binary64
  (- (/ (+ 2.30753 (* x 0.27061000000000002)) (+ 1 (* x (+ 0.992290000000000005 (* x 0.044810000000000003))))) x))