Average Error: 0.0 → 0.0
Time: 5.4s
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 r3326591 = x;
        double r3326592 = y;
        double r3326593 = 1.0;
        double r3326594 = r3326592 - r3326593;
        double r3326595 = r3326591 * r3326594;
        double r3326596 = 0.5;
        double r3326597 = r3326592 * r3326596;
        double r3326598 = r3326595 - r3326597;
        double r3326599 = 0.918938533204673;
        double r3326600 = r3326598 + r3326599;
        return r3326600;
}
↓
double f(double x, double y) {
        double r3326601 = y;
        double r3326602 = 1.0;
        double r3326603 = r3326601 - r3326602;
        double r3326604 = x;
        double r3326605 = r3326603 * r3326604;
        double r3326606 = 0.5;
        double r3326607 = r3326606 * r3326601;
        double r3326608 = r3326605 - r3326607;
        double r3326609 = 0.918938533204673;
        double r3326610 = r3326608 + r3326609;
        return r3326610;
}

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 2019174 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))