Average Error: 0.0 → 0.0
Time: 5.8s
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 r48883 = x;
        double r48884 = y;
        double r48885 = 1.0;
        double r48886 = r48884 - r48885;
        double r48887 = r48883 * r48886;
        double r48888 = 0.5;
        double r48889 = r48884 * r48888;
        double r48890 = r48887 - r48889;
        double r48891 = 0.918938533204673;
        double r48892 = r48890 + r48891;
        return r48892;
}
↓
double f(double x, double y) {
        double r48893 = x;
        double r48894 = y;
        double r48895 = 1.0;
        double r48896 = r48894 - r48895;
        double r48897 = r48893 * r48896;
        double r48898 = 0.5;
        double r48899 = r48894 * r48898;
        double r48900 = r48897 - r48899;
        double r48901 = 0.918938533204673;
        double r48902 = r48900 + r48901;
        return r48902;
}

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 2019305 +o rules:numerics
(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))