Average Error: 0.0 → 0.0
Time: 1.8s
Precision: 64
\[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
↓
\[\left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
↓
\left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
double f(double x) {
        double r61877 = 2.30753;
        double r61878 = x;
        double r61879 = 0.27061;
        double r61880 = r61878 * r61879;
        double r61881 = r61877 + r61880;
        double r61882 = 1.0;
        double r61883 = 0.99229;
        double r61884 = 0.04481;
        double r61885 = r61878 * r61884;
        double r61886 = r61883 + r61885;
        double r61887 = r61878 * r61886;
        double r61888 = r61882 + r61887;
        double r61889 = r61881 / r61888;
        double r61890 = r61889 - r61878;
        return r61890;
}
↓
double f(double x) {
        double r61891 = 2.30753;
        double r61892 = x;
        double r61893 = 0.27061;
        double r61894 = r61892 * r61893;
        double r61895 = r61891 + r61894;
        double r61896 = 1.0;
        double r61897 = 1.0;
        double r61898 = 0.99229;
        double r61899 = 0.04481;
        double r61900 = r61892 * r61899;
        double r61901 = r61898 + r61900;
        double r61902 = r61892 * r61901;
        double r61903 = r61897 + r61902;
        double r61904 = r61896 / r61903;
        double r61905 = r61895 * r61904;
        double r61906 = r61905 - r61892;
        return r61906;
}

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

    \[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
  2. Using strategy rm

  3. Applied div-inv0.0

    \[\leadsto \color{blue}{\left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)}} - x\]

  4. Final simplification0.0

    \[\leadsto \left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]

Reproduce

herbie shell --seed 2020062 
(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))