Average Error: 0.0 → 0.0
Time: 3.6s
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 r41504 = x;
        double r41505 = y;
        double r41506 = 1.0;
        double r41507 = r41505 - r41506;
        double r41508 = r41504 * r41507;
        double r41509 = 0.5;
        double r41510 = r41505 * r41509;
        double r41511 = r41508 - r41510;
        double r41512 = 0.918938533204673;
        double r41513 = r41511 + r41512;
        return r41513;
}
↓
double f(double x, double y) {
        double r41514 = x;
        double r41515 = y;
        double r41516 = 1.0;
        double r41517 = r41515 - r41516;
        double r41518 = r41514 * r41517;
        double r41519 = 0.5;
        double r41520 = r41515 * r41519;
        double r41521 = r41518 - r41520;
        double r41522 = 0.918938533204673;
        double r41523 = r41521 + r41522;
        return r41523;
}

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 2019291 
(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))