Average Error: 0.0 → 0.0
Time: 7.5s
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 r45184 = x;
        double r45185 = y;
        double r45186 = 1.0;
        double r45187 = r45185 - r45186;
        double r45188 = r45184 * r45187;
        double r45189 = 0.5;
        double r45190 = r45185 * r45189;
        double r45191 = r45188 - r45190;
        double r45192 = 0.918938533204673;
        double r45193 = r45191 + r45192;
        return r45193;
}
↓
double f(double x, double y) {
        double r45194 = y;
        double r45195 = 1.0;
        double r45196 = r45194 - r45195;
        double r45197 = x;
        double r45198 = r45196 * r45197;
        double r45199 = 0.5;
        double r45200 = r45199 * r45194;
        double r45201 = r45198 - r45200;
        double r45202 = 0.918938533204673;
        double r45203 = r45201 + r45202;
        return r45203;
}

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 2019195 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))