Average Error: 0.1 → 0.1
Time: 7.0s
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 r93864 = x;
        double r93865 = y;
        double r93866 = log(r93865);
        double r93867 = r93864 * r93866;
        double r93868 = r93867 - r93865;
        double r93869 = z;
        double r93870 = r93868 - r93869;
        double r93871 = t;
        double r93872 = log(r93871);
        double r93873 = r93870 + r93872;
        return r93873;
}
↓
double f(double x, double y, double z, double t) {
        double r93874 = x;
        double r93875 = y;
        double r93876 = log(r93875);
        double r93877 = r93874 * r93876;
        double r93878 = r93877 - r93875;
        double r93879 = z;
        double r93880 = r93878 - r93879;
        double r93881 = t;
        double r93882 = log(r93881);
        double r93883 = r93880 + r93882;
        return r93883;
}

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 2019362 
(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)))