Average Error: 0.0 → 0.0
Time: 3.7s
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]
↓
\[\left(\left(y - 1\right) \cdot x - 0.5 \cdot y\right) + 0.9189385332046730026078762421093415468931\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931
↓
\left(\left(y - 1\right) \cdot x - 0.5 \cdot y\right) + 0.9189385332046730026078762421093415468931
double f(double x, double y) {
        double r74769 = x;
        double r74770 = y;
        double r74771 = 1.0;
        double r74772 = r74770 - r74771;
        double r74773 = r74769 * r74772;
        double r74774 = 0.5;
        double r74775 = r74770 * r74774;
        double r74776 = r74773 - r74775;
        double r74777 = 0.918938533204673;
        double r74778 = r74776 + r74777;
        return r74778;
}
↓
double f(double x, double y) {
        double r74779 = y;
        double r74780 = 1.0;
        double r74781 = r74779 - r74780;
        double r74782 = x;
        double r74783 = r74781 * r74782;
        double r74784 = 0.5;
        double r74785 = r74784 * r74779;
        double r74786 = r74783 - r74785;
        double r74787 = 0.918938533204673;
        double r74788 = r74786 + r74787;
        return r74788;
}

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

    \[\leadsto \left(\left(y - 1\right) \cdot x - 0.5 \cdot y\right) + 0.9189385332046730026078762421093415468931\]

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))