Average Error: 0.0 → 0.0
Time: 32.7s
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 r42671 = x;
        double r42672 = y;
        double r42673 = 1.0;
        double r42674 = r42672 - r42673;
        double r42675 = r42671 * r42674;
        double r42676 = 0.5;
        double r42677 = r42672 * r42676;
        double r42678 = r42675 - r42677;
        double r42679 = 0.918938533204673;
        double r42680 = r42678 + r42679;
        return r42680;
}
↓
double f(double x, double y) {
        double r42681 = x;
        double r42682 = y;
        double r42683 = 1.0;
        double r42684 = r42682 - r42683;
        double r42685 = r42681 * r42684;
        double r42686 = 0.5;
        double r42687 = r42682 * r42686;
        double r42688 = r42685 - r42687;
        double r42689 = 0.918938533204673;
        double r42690 = r42688 + r42689;
        return r42690;
}

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 2019200 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1)) (* y 0.5)) 0.918938533204673003))