Average Error: 0.1 → 0.1
Time: 26.1s
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 r88773 = x;
        double r88774 = y;
        double r88775 = log(r88774);
        double r88776 = r88773 * r88775;
        double r88777 = r88776 - r88774;
        double r88778 = z;
        double r88779 = r88777 - r88778;
        double r88780 = t;
        double r88781 = log(r88780);
        double r88782 = r88779 + r88781;
        return r88782;
}
↓
double f(double x, double y, double z, double t) {
        double r88783 = x;
        double r88784 = y;
        double r88785 = log(r88784);
        double r88786 = r88783 * r88785;
        double r88787 = r88786 - r88784;
        double r88788 = z;
        double r88789 = r88787 - r88788;
        double r88790 = t;
        double r88791 = log(r88790);
        double r88792 = r88789 + r88791;
        return r88792;
}

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 2019323 
(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)))