Average Error: 0.0 → 0.0
Time: 5.7s
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 r50921 = x;
        double r50922 = y;
        double r50923 = 1.0;
        double r50924 = r50922 - r50923;
        double r50925 = r50921 * r50924;
        double r50926 = 0.5;
        double r50927 = r50922 * r50926;
        double r50928 = r50925 - r50927;
        double r50929 = 0.918938533204673;
        double r50930 = r50928 + r50929;
        return r50930;
}
↓
double f(double x, double y) {
        double r50931 = x;
        double r50932 = y;
        double r50933 = 1.0;
        double r50934 = r50932 - r50933;
        double r50935 = r50931 * r50934;
        double r50936 = 0.5;
        double r50937 = r50932 * r50936;
        double r50938 = r50935 - r50937;
        double r50939 = 0.918938533204673;
        double r50940 = r50938 + r50939;
        return r50940;
}

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 2019298 
(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))