Average Error: 0.0 → 0.0
Time: 1.6s
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 r47825 = x;
        double r47826 = y;
        double r47827 = 1.0;
        double r47828 = r47826 - r47827;
        double r47829 = r47825 * r47828;
        double r47830 = 0.5;
        double r47831 = r47826 * r47830;
        double r47832 = r47829 - r47831;
        double r47833 = 0.918938533204673;
        double r47834 = r47832 + r47833;
        return r47834;
}
↓
double f(double x, double y) {
        double r47835 = x;
        double r47836 = y;
        double r47837 = 1.0;
        double r47838 = r47836 - r47837;
        double r47839 = r47835 * r47838;
        double r47840 = 0.5;
        double r47841 = r47836 * r47840;
        double r47842 = r47839 - r47841;
        double r47843 = 0.918938533204673;
        double r47844 = r47842 + r47843;
        return r47844;
}

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 2020001 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (+ (- (* x (- y 1)) (* y 0.5)) 0.918938533204673))