Average Error: 0.0 → 0.0
Time: 5.2s
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 r40016 = x;
        double r40017 = y;
        double r40018 = 1.0;
        double r40019 = r40017 - r40018;
        double r40020 = r40016 * r40019;
        double r40021 = 0.5;
        double r40022 = r40017 * r40021;
        double r40023 = r40020 - r40022;
        double r40024 = 0.918938533204673;
        double r40025 = r40023 + r40024;
        return r40025;
}
↓
double f(double x, double y) {
        double r40026 = x;
        double r40027 = y;
        double r40028 = 1.0;
        double r40029 = r40027 - r40028;
        double r40030 = r40026 * r40029;
        double r40031 = 0.5;
        double r40032 = r40027 * r40031;
        double r40033 = r40030 - r40032;
        double r40034 = 0.918938533204673;
        double r40035 = r40033 + r40034;
        return r40035;
}

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 2019308 
(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))