Average Error: 0.0 → 0.0
Time: 21.0s
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 r51892 = 2.30753;
        double r51893 = x;
        double r51894 = 0.27061;
        double r51895 = r51893 * r51894;
        double r51896 = r51892 + r51895;
        double r51897 = 1.0;
        double r51898 = 0.99229;
        double r51899 = 0.04481;
        double r51900 = r51893 * r51899;
        double r51901 = r51898 + r51900;
        double r51902 = r51893 * r51901;
        double r51903 = r51897 + r51902;
        double r51904 = r51896 / r51903;
        double r51905 = r51904 - r51893;
        return r51905;
}
↓
double f(double x) {
        double r51906 = 2.30753;
        double r51907 = x;
        double r51908 = 0.27061;
        double r51909 = r51907 * r51908;
        double r51910 = r51906 + r51909;
        double r51911 = 1.0;
        double r51912 = 0.99229;
        double r51913 = 0.04481;
        double r51914 = r51907 * r51913;
        double r51915 = r51912 + r51914;
        double r51916 = r51907 * r51915;
        double r51917 = r51911 + r51916;
        double r51918 = r51910 / r51917;
        double r51919 = r51918 - r51907;
        return r51919;
}

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 2019202 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  (- (/ (+ 2.30753 (* x 0.27061000000000002)) (+ 1 (* x (+ 0.992290000000000005 (* x 0.044810000000000003))))) x))