Average Error: 0.0 → 0.0
Time: 4.6s
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 r49443 = x;
        double r49444 = y;
        double r49445 = 1.0;
        double r49446 = r49444 - r49445;
        double r49447 = r49443 * r49446;
        double r49448 = 0.5;
        double r49449 = r49444 * r49448;
        double r49450 = r49447 - r49449;
        double r49451 = 0.918938533204673;
        double r49452 = r49450 + r49451;
        return r49452;
}
↓
double f(double x, double y) {
        double r49453 = x;
        double r49454 = y;
        double r49455 = 1.0;
        double r49456 = r49454 - r49455;
        double r49457 = r49453 * r49456;
        double r49458 = 0.5;
        double r49459 = r49454 * r49458;
        double r49460 = r49457 - r49459;
        double r49461 = 0.918938533204673;
        double r49462 = r49460 + r49461;
        return r49462;
}

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 2019326 
(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))