Average Error: 0.0 → 0.0
Time: 962.0ms
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 r60429 = x;
        double r60430 = y;
        double r60431 = 1.0;
        double r60432 = r60430 - r60431;
        double r60433 = r60429 * r60432;
        double r60434 = 0.5;
        double r60435 = r60430 * r60434;
        double r60436 = r60433 - r60435;
        double r60437 = 0.918938533204673;
        double r60438 = r60436 + r60437;
        return r60438;
}
↓
double f(double x, double y) {
        double r60439 = x;
        double r60440 = y;
        double r60441 = 1.0;
        double r60442 = r60440 - r60441;
        double r60443 = r60439 * r60442;
        double r60444 = 0.5;
        double r60445 = r60440 * r60444;
        double r60446 = r60443 - r60445;
        double r60447 = 0.918938533204673;
        double r60448 = r60446 + r60447;
        return r60448;
}

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 2019354 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (+ (- (* x (- y 1)) (* y 0.5)) 0.918938533204673))