Average Error: 0.1 → 0.1
Time: 22.0s
Precision: 64
\[\left(\left(x \cdot \log y - y\right) - z\right) + \log t\]
↓
\[\left(\left(x \cdot \log y - y\right) - z\right) + \log t\]
\left(\left(x \cdot \log y - y\right) - z\right) + \log t
↓
\left(\left(x \cdot \log y - y\right) - z\right) + \log t
double f(double x, double y, double z, double t) {
        double r96912 = x;
        double r96913 = y;
        double r96914 = log(r96913);
        double r96915 = r96912 * r96914;
        double r96916 = r96915 - r96913;
        double r96917 = z;
        double r96918 = r96916 - r96917;
        double r96919 = t;
        double r96920 = log(r96919);
        double r96921 = r96918 + r96920;
        return r96921;
}
↓
double f(double x, double y, double z, double t) {
        double r96922 = x;
        double r96923 = y;
        double r96924 = log(r96923);
        double r96925 = r96922 * r96924;
        double r96926 = r96925 - r96923;
        double r96927 = z;
        double r96928 = r96926 - r96927;
        double r96929 = t;
        double r96930 = log(r96929);
        double r96931 = r96928 + r96930;
        return r96931;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(\left(x \cdot \log y - y\right) - z\right) + \log t\]

  2. Final simplification0.1

    \[\leadsto \left(\left(x \cdot \log y - y\right) - z\right) + \log t\]

Reproduce

herbie shell --seed 2019305 
(FPCore (x y z t)
  :name "Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (+ (- (- (* x (log y)) y) z) (log t)))