Average Error: 0.0 → 0.0
Time: 936.0ms
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 r39803 = x;
        double r39804 = y;
        double r39805 = 1.0;
        double r39806 = r39804 - r39805;
        double r39807 = r39803 * r39806;
        double r39808 = 0.5;
        double r39809 = r39804 * r39808;
        double r39810 = r39807 - r39809;
        double r39811 = 0.918938533204673;
        double r39812 = r39810 + r39811;
        return r39812;
}
↓
double f(double x, double y) {
        double r39813 = x;
        double r39814 = y;
        double r39815 = 1.0;
        double r39816 = r39814 - r39815;
        double r39817 = r39813 * r39816;
        double r39818 = 0.5;
        double r39819 = r39814 * r39818;
        double r39820 = r39817 - r39819;
        double r39821 = 0.918938533204673;
        double r39822 = r39820 + r39821;
        return r39822;
}

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 2019353 
(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))