Average Error: 0.0 → 0.0
Time: 10.8s
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]
↓
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931
↓
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931
double f(double x, double y) {
        double r44554 = x;
        double r44555 = y;
        double r44556 = 1.0;
        double r44557 = r44555 - r44556;
        double r44558 = r44554 * r44557;
        double r44559 = 0.5;
        double r44560 = r44555 * r44559;
        double r44561 = r44558 - r44560;
        double r44562 = 0.918938533204673;
        double r44563 = r44561 + r44562;
        return r44563;
}
↓
double f(double x, double y) {
        double r44564 = x;
        double r44565 = y;
        double r44566 = 1.0;
        double r44567 = r44565 - r44566;
        double r44568 = r44564 * r44567;
        double r44569 = 0.5;
        double r44570 = r44565 * r44569;
        double r44571 = r44568 - r44570;
        double r44572 = 0.918938533204673;
        double r44573 = r44571 + r44572;
        return r44573;
}

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

    \[\leadsto \left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]

Reproduce

herbie shell --seed 2019209 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (+ (- (* x (- y 1)) (* y 0.5)) 0.918938533204673003))