Average Error: 0.0 → 0.0
Time: 5.4s
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 r3074599 = x;
        double r3074600 = y;
        double r3074601 = 1.0;
        double r3074602 = r3074600 - r3074601;
        double r3074603 = r3074599 * r3074602;
        double r3074604 = 0.5;
        double r3074605 = r3074600 * r3074604;
        double r3074606 = r3074603 - r3074605;
        double r3074607 = 0.918938533204673;
        double r3074608 = r3074606 + r3074607;
        return r3074608;
}
↓
double f(double x, double y) {
        double r3074609 = y;
        double r3074610 = 1.0;
        double r3074611 = r3074609 - r3074610;
        double r3074612 = x;
        double r3074613 = r3074611 * r3074612;
        double r3074614 = 0.5;
        double r3074615 = r3074614 * r3074609;
        double r3074616 = r3074613 - r3074615;
        double r3074617 = 0.918938533204673;
        double r3074618 = r3074616 + r3074617;
        return r3074618;
}

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 2019179 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))