Average Error: 0.0 → 0.0
Time: 7.0s
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 r44457 = x;
        double r44458 = y;
        double r44459 = 1.0;
        double r44460 = r44458 - r44459;
        double r44461 = r44457 * r44460;
        double r44462 = 0.5;
        double r44463 = r44458 * r44462;
        double r44464 = r44461 - r44463;
        double r44465 = 0.918938533204673;
        double r44466 = r44464 + r44465;
        return r44466;
}
↓
double f(double x, double y) {
        double r44467 = x;
        double r44468 = y;
        double r44469 = 1.0;
        double r44470 = r44468 - r44469;
        double r44471 = r44467 * r44470;
        double r44472 = 0.5;
        double r44473 = r44468 * r44472;
        double r44474 = r44471 - r44473;
        double r44475 = 0.918938533204673;
        double r44476 = r44474 + r44475;
        return r44476;
}

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 2019323 
(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))