Average Error: 0.0 → 0.0
Time: 3.3s
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 r31574 = x;
        double r31575 = y;
        double r31576 = 1.0;
        double r31577 = r31575 - r31576;
        double r31578 = r31574 * r31577;
        double r31579 = 0.5;
        double r31580 = r31575 * r31579;
        double r31581 = r31578 - r31580;
        double r31582 = 0.918938533204673;
        double r31583 = r31581 + r31582;
        return r31583;
}
↓
double f(double x, double y) {
        double r31584 = y;
        double r31585 = 1.0;
        double r31586 = r31584 - r31585;
        double r31587 = x;
        double r31588 = r31586 * r31587;
        double r31589 = 0.5;
        double r31590 = r31589 * r31584;
        double r31591 = r31588 - r31590;
        double r31592 = 0.918938533204673;
        double r31593 = r31591 + r31592;
        return r31593;
}

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 +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))