Average Error: 0.0 → 0.0
Time: 7.1s
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 r48854 = x;
        double r48855 = y;
        double r48856 = 1.0;
        double r48857 = r48855 - r48856;
        double r48858 = r48854 * r48857;
        double r48859 = 0.5;
        double r48860 = r48855 * r48859;
        double r48861 = r48858 - r48860;
        double r48862 = 0.918938533204673;
        double r48863 = r48861 + r48862;
        return r48863;
}
↓
double f(double x, double y) {
        double r48864 = x;
        double r48865 = y;
        double r48866 = 1.0;
        double r48867 = r48865 - r48866;
        double r48868 = r48864 * r48867;
        double r48869 = 0.5;
        double r48870 = r48865 * r48869;
        double r48871 = r48868 - r48870;
        double r48872 = 0.918938533204673;
        double r48873 = r48871 + r48872;
        return r48873;
}

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 2019323 
(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))