Average Error: 0.0 → 0.0
Time: 11.6s
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 r54063 = x;
        double r54064 = y;
        double r54065 = 1.0;
        double r54066 = r54064 - r54065;
        double r54067 = r54063 * r54066;
        double r54068 = 0.5;
        double r54069 = r54064 * r54068;
        double r54070 = r54067 - r54069;
        double r54071 = 0.918938533204673;
        double r54072 = r54070 + r54071;
        return r54072;
}
↓
double f(double x, double y) {
        double r54073 = x;
        double r54074 = y;
        double r54075 = 1.0;
        double r54076 = r54074 - r54075;
        double r54077 = r54073 * r54076;
        double r54078 = 0.5;
        double r54079 = r54074 * r54078;
        double r54080 = r54077 - r54079;
        double r54081 = 0.918938533204673;
        double r54082 = r54080 + r54081;
        return r54082;
}

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 2019235 
(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))