Average Error: 0.1 → 0.1
Time: 6.6s
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 r122852 = x;
        double r122853 = y;
        double r122854 = log(r122853);
        double r122855 = r122852 * r122854;
        double r122856 = r122855 - r122853;
        double r122857 = z;
        double r122858 = r122856 - r122857;
        double r122859 = t;
        double r122860 = log(r122859);
        double r122861 = r122858 + r122860;
        return r122861;
}
↓
double f(double x, double y, double z, double t) {
        double r122862 = x;
        double r122863 = y;
        double r122864 = log(r122863);
        double r122865 = r122862 * r122864;
        double r122866 = r122865 - r122863;
        double r122867 = z;
        double r122868 = r122866 - r122867;
        double r122869 = t;
        double r122870 = log(r122869);
        double r122871 = r122868 + r122870;
        return r122871;
}

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 2020064 
(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)))