Average Error: 0.0 → 0.0
Time: 6.4s
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 r38330 = x;
        double r38331 = y;
        double r38332 = 1.0;
        double r38333 = r38331 - r38332;
        double r38334 = r38330 * r38333;
        double r38335 = 0.5;
        double r38336 = r38331 * r38335;
        double r38337 = r38334 - r38336;
        double r38338 = 0.918938533204673;
        double r38339 = r38337 + r38338;
        return r38339;
}
↓
double f(double x, double y) {
        double r38340 = x;
        double r38341 = y;
        double r38342 = 1.0;
        double r38343 = r38341 - r38342;
        double r38344 = r38340 * r38343;
        double r38345 = 0.5;
        double r38346 = r38341 * r38345;
        double r38347 = r38344 - r38346;
        double r38348 = 0.918938533204673;
        double r38349 = r38347 + r38348;
        return r38349;
}

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 2019306 
(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))