Average Error: 0.0 → 0.0
Time: 8.4s
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 r52050 = x;
        double r52051 = y;
        double r52052 = 1.0;
        double r52053 = r52051 - r52052;
        double r52054 = r52050 * r52053;
        double r52055 = 0.5;
        double r52056 = r52051 * r52055;
        double r52057 = r52054 - r52056;
        double r52058 = 0.918938533204673;
        double r52059 = r52057 + r52058;
        return r52059;
}
↓
double f(double x, double y) {
        double r52060 = x;
        double r52061 = y;
        double r52062 = 1.0;
        double r52063 = r52061 - r52062;
        double r52064 = r52060 * r52063;
        double r52065 = 0.5;
        double r52066 = r52061 * r52065;
        double r52067 = r52064 - r52066;
        double r52068 = 0.918938533204673;
        double r52069 = r52067 + r52068;
        return r52069;
}

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 2019305 
(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))