Average Error: 0.0 → 0.0
Time: 2.6s
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 r85888 = 2.30753;
        double r85889 = x;
        double r85890 = 0.27061;
        double r85891 = r85889 * r85890;
        double r85892 = r85888 + r85891;
        double r85893 = 1.0;
        double r85894 = 0.99229;
        double r85895 = 0.04481;
        double r85896 = r85889 * r85895;
        double r85897 = r85894 + r85896;
        double r85898 = r85889 * r85897;
        double r85899 = r85893 + r85898;
        double r85900 = r85892 / r85899;
        double r85901 = r85900 - r85889;
        return r85901;
}
↓
double f(double x) {
        double r85902 = 2.30753;
        double r85903 = x;
        double r85904 = 0.27061;
        double r85905 = r85903 * r85904;
        double r85906 = r85902 + r85905;
        double r85907 = 1.0;
        double r85908 = 0.99229;
        double r85909 = 0.04481;
        double r85910 = r85903 * r85909;
        double r85911 = r85908 + r85910;
        double r85912 = r85903 * r85911;
        double r85913 = r85907 + r85912;
        double r85914 = r85906 / r85913;
        double r85915 = r85914 - r85903;
        return r85915;
}

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 2019362 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  :precision binary64
  (- (/ (+ 2.30753 (* x 0.27061)) (+ 1 (* x (+ 0.99229 (* x 0.04481))))) x))