Average Error: 0.0 → 0.0
Time: 808.0ms
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 r44894 = x;
        double r44895 = y;
        double r44896 = 1.0;
        double r44897 = r44895 - r44896;
        double r44898 = r44894 * r44897;
        double r44899 = 0.5;
        double r44900 = r44895 * r44899;
        double r44901 = r44898 - r44900;
        double r44902 = 0.918938533204673;
        double r44903 = r44901 + r44902;
        return r44903;
}
↓
double f(double x, double y) {
        double r44904 = x;
        double r44905 = y;
        double r44906 = 1.0;
        double r44907 = r44905 - r44906;
        double r44908 = r44904 * r44907;
        double r44909 = 0.5;
        double r44910 = r44905 * r44909;
        double r44911 = r44908 - r44910;
        double r44912 = 0.918938533204673;
        double r44913 = r44911 + r44912;
        return r44913;
}

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 1978988140 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (+ (- (* x (- y 1)) (* y 0.5)) 0.918938533204673003))