Average Error: 0.0 → 0.0
Time: 4.0s
Precision: 64
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
↓
\[\frac{0.2706100000000000171951342053944244980812 \cdot x + 2.307529999999999859028321225196123123169}{x \cdot \left(x \cdot 0.04481000000000000260680366181986755691469 + 0.992290000000000005364597654988756403327\right) + 1} - x\]
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
↓
\frac{0.2706100000000000171951342053944244980812 \cdot x + 2.307529999999999859028321225196123123169}{x \cdot \left(x \cdot 0.04481000000000000260680366181986755691469 + 0.992290000000000005364597654988756403327\right) + 1} - x
double f(double x) {
        double r2706904 = 2.30753;
        double r2706905 = x;
        double r2706906 = 0.27061;
        double r2706907 = r2706905 * r2706906;
        double r2706908 = r2706904 + r2706907;
        double r2706909 = 1.0;
        double r2706910 = 0.99229;
        double r2706911 = 0.04481;
        double r2706912 = r2706905 * r2706911;
        double r2706913 = r2706910 + r2706912;
        double r2706914 = r2706905 * r2706913;
        double r2706915 = r2706909 + r2706914;
        double r2706916 = r2706908 / r2706915;
        double r2706917 = r2706916 - r2706905;
        return r2706917;
}
↓
double f(double x) {
        double r2706918 = 0.27061;
        double r2706919 = x;
        double r2706920 = r2706918 * r2706919;
        double r2706921 = 2.30753;
        double r2706922 = r2706920 + r2706921;
        double r2706923 = 0.04481;
        double r2706924 = r2706919 * r2706923;
        double r2706925 = 0.99229;
        double r2706926 = r2706924 + r2706925;
        double r2706927 = r2706919 * r2706926;
        double r2706928 = 1.0;
        double r2706929 = r2706927 + r2706928;
        double r2706930 = r2706922 / r2706929;
        double r2706931 = r2706930 - r2706919;
        return r2706931;
}

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

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

Reproduce

herbie shell --seed 2019171 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))