Average Error: 0.0 → 0.0
Time: 7.3s
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]
↓
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931
↓
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931
double f(double x, double y) {
        double r57871 = x;
        double r57872 = y;
        double r57873 = 1.0;
        double r57874 = r57872 - r57873;
        double r57875 = r57871 * r57874;
        double r57876 = 0.5;
        double r57877 = r57872 * r57876;
        double r57878 = r57875 - r57877;
        double r57879 = 0.918938533204673;
        double r57880 = r57878 + r57879;
        return r57880;
}
↓
double f(double x, double y) {
        double r57881 = x;
        double r57882 = y;
        double r57883 = 1.0;
        double r57884 = r57882 - r57883;
        double r57885 = r57881 * r57884;
        double r57886 = 0.5;
        double r57887 = r57882 * r57886;
        double r57888 = r57885 - r57887;
        double r57889 = 0.918938533204673;
        double r57890 = r57888 + r57889;
        return r57890;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]

  2. Final simplification0.0

    \[\leadsto \left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]

Reproduce

herbie shell --seed 2019325 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (+ (- (* x (- y 1)) (* y 0.5)) 0.918938533204673))