Average Error: 0.0 → 0.0
Time: 5.7s
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 r36754 = x;
        double r36755 = y;
        double r36756 = 1.0;
        double r36757 = r36755 - r36756;
        double r36758 = r36754 * r36757;
        double r36759 = 0.5;
        double r36760 = r36755 * r36759;
        double r36761 = r36758 - r36760;
        double r36762 = 0.918938533204673;
        double r36763 = r36761 + r36762;
        return r36763;
}
↓
double f(double x, double y) {
        double r36764 = x;
        double r36765 = y;
        double r36766 = 1.0;
        double r36767 = r36765 - r36766;
        double r36768 = r36764 * r36767;
        double r36769 = 0.5;
        double r36770 = r36765 * r36769;
        double r36771 = r36768 - r36770;
        double r36772 = 0.918938533204673;
        double r36773 = r36771 + r36772;
        return r36773;
}

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 2019208 
(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))