Average Error: 0.0 → 0.0
Time: 3.2s
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 r35429 = x;
        double r35430 = y;
        double r35431 = 1.0;
        double r35432 = r35430 - r35431;
        double r35433 = r35429 * r35432;
        double r35434 = 0.5;
        double r35435 = r35430 * r35434;
        double r35436 = r35433 - r35435;
        double r35437 = 0.918938533204673;
        double r35438 = r35436 + r35437;
        return r35438;
}
↓
double f(double x, double y) {
        double r35439 = x;
        double r35440 = y;
        double r35441 = 1.0;
        double r35442 = r35440 - r35441;
        double r35443 = r35439 * r35442;
        double r35444 = 0.5;
        double r35445 = r35440 * r35444;
        double r35446 = r35443 - r35445;
        double r35447 = 0.918938533204673;
        double r35448 = r35446 + r35447;
        return r35448;
}

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 2019294 
(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))