Average Error: 0.0 → 0.0
Time: 870.0ms
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 r60959 = x;
        double r60960 = y;
        double r60961 = 1.0;
        double r60962 = r60960 - r60961;
        double r60963 = r60959 * r60962;
        double r60964 = 0.5;
        double r60965 = r60960 * r60964;
        double r60966 = r60963 - r60965;
        double r60967 = 0.918938533204673;
        double r60968 = r60966 + r60967;
        return r60968;
}
↓
double f(double x, double y) {
        double r60969 = x;
        double r60970 = y;
        double r60971 = 1.0;
        double r60972 = r60970 - r60971;
        double r60973 = r60969 * r60972;
        double r60974 = 0.5;
        double r60975 = r60970 * r60974;
        double r60976 = r60973 - r60975;
        double r60977 = 0.918938533204673;
        double r60978 = r60976 + r60977;
        return r60978;
}

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 2019353 
(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))