Average Error: 0.0 → 0.0
Time: 10.5s
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]
↓
\[\left(\left(y - 1\right) \cdot x - 0.5 \cdot y\right) + 0.9189385332046730026078762421093415468931\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931
↓
\left(\left(y - 1\right) \cdot x - 0.5 \cdot y\right) + 0.9189385332046730026078762421093415468931
double f(double x, double y) {
        double r2093708 = x;
        double r2093709 = y;
        double r2093710 = 1.0;
        double r2093711 = r2093709 - r2093710;
        double r2093712 = r2093708 * r2093711;
        double r2093713 = 0.5;
        double r2093714 = r2093709 * r2093713;
        double r2093715 = r2093712 - r2093714;
        double r2093716 = 0.918938533204673;
        double r2093717 = r2093715 + r2093716;
        return r2093717;
}
↓
double f(double x, double y) {
        double r2093718 = y;
        double r2093719 = 1.0;
        double r2093720 = r2093718 - r2093719;
        double r2093721 = x;
        double r2093722 = r2093720 * r2093721;
        double r2093723 = 0.5;
        double r2093724 = r2093723 * r2093718;
        double r2093725 = r2093722 - r2093724;
        double r2093726 = 0.918938533204673;
        double r2093727 = r2093725 + r2093726;
        return r2093727;
}

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

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

Reproduce

herbie shell --seed 2019172 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))