Average Error: 0.0 → 0.0
Time: 10.3s
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 r2726461 = x;
        double r2726462 = y;
        double r2726463 = 1.0;
        double r2726464 = r2726462 - r2726463;
        double r2726465 = r2726461 * r2726464;
        double r2726466 = 0.5;
        double r2726467 = r2726462 * r2726466;
        double r2726468 = r2726465 - r2726467;
        double r2726469 = 0.918938533204673;
        double r2726470 = r2726468 + r2726469;
        return r2726470;
}
↓
double f(double x, double y) {
        double r2726471 = y;
        double r2726472 = 1.0;
        double r2726473 = r2726471 - r2726472;
        double r2726474 = x;
        double r2726475 = r2726473 * r2726474;
        double r2726476 = 0.5;
        double r2726477 = r2726476 * r2726471;
        double r2726478 = r2726475 - r2726477;
        double r2726479 = 0.918938533204673;
        double r2726480 = r2726478 + r2726479;
        return r2726480;
}

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 2019171 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))