Average Error: 0.0 → 0.0
Time: 3.8s
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 r1664558 = x;
        double r1664559 = y;
        double r1664560 = 1.0;
        double r1664561 = r1664559 - r1664560;
        double r1664562 = r1664558 * r1664561;
        double r1664563 = 0.5;
        double r1664564 = r1664559 * r1664563;
        double r1664565 = r1664562 - r1664564;
        double r1664566 = 0.918938533204673;
        double r1664567 = r1664565 + r1664566;
        return r1664567;
}
↓
double f(double x, double y) {
        double r1664568 = y;
        double r1664569 = 1.0;
        double r1664570 = r1664568 - r1664569;
        double r1664571 = x;
        double r1664572 = r1664570 * r1664571;
        double r1664573 = 0.5;
        double r1664574 = r1664573 * r1664568;
        double r1664575 = r1664572 - r1664574;
        double r1664576 = 0.918938533204673;
        double r1664577 = r1664575 + r1664576;
        return r1664577;
}

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 2019192 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))