Average Error: 0.0 → 0.0
Time: 36.4s
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]
↓
\[0.9189385332046730026078762421093415468931 + \left(\left(y - 1\right) \cdot x - 0.5 \cdot y\right)\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931
↓
0.9189385332046730026078762421093415468931 + \left(\left(y - 1\right) \cdot x - 0.5 \cdot y\right)
double f(double x, double y) {
        double r2412930 = x;
        double r2412931 = y;
        double r2412932 = 1.0;
        double r2412933 = r2412931 - r2412932;
        double r2412934 = r2412930 * r2412933;
        double r2412935 = 0.5;
        double r2412936 = r2412931 * r2412935;
        double r2412937 = r2412934 - r2412936;
        double r2412938 = 0.918938533204673;
        double r2412939 = r2412937 + r2412938;
        return r2412939;
}
↓
double f(double x, double y) {
        double r2412940 = 0.918938533204673;
        double r2412941 = y;
        double r2412942 = 1.0;
        double r2412943 = r2412941 - r2412942;
        double r2412944 = x;
        double r2412945 = r2412943 * r2412944;
        double r2412946 = 0.5;
        double r2412947 = r2412946 * r2412941;
        double r2412948 = r2412945 - r2412947;
        double r2412949 = r2412940 + r2412948;
        return r2412949;
}

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

    \[\leadsto 0.9189385332046730026078762421093415468931 + \left(\left(y - 1\right) \cdot x - 0.5 \cdot y\right)\]

Reproduce

herbie shell --seed 2019200 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))