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 r52466 = x;
        double r52467 = y;
        double r52468 = 1.0;
        double r52469 = r52467 - r52468;
        double r52470 = r52466 * r52469;
        double r52471 = 0.5;
        double r52472 = r52467 * r52471;
        double r52473 = r52470 - r52472;
        double r52474 = 0.918938533204673;
        double r52475 = r52473 + r52474;
        return r52475;
}
↓
double f(double x, double y) {
        double r52476 = x;
        double r52477 = y;
        double r52478 = 1.0;
        double r52479 = r52477 - r52478;
        double r52480 = r52476 * r52479;
        double r52481 = 0.5;
        double r52482 = r52477 * r52481;
        double r52483 = r52480 - r52482;
        double r52484 = 0.918938533204673;
        double r52485 = r52483 + r52484;
        return r52485;
}

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 2019303 
(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))