Average Error: 0.1 → 0.1
Time: 6.8s
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 r144792 = x;
        double r144793 = y;
        double r144794 = log(r144793);
        double r144795 = r144792 * r144794;
        double r144796 = r144795 - r144793;
        double r144797 = z;
        double r144798 = r144796 - r144797;
        double r144799 = t;
        double r144800 = log(r144799);
        double r144801 = r144798 + r144800;
        return r144801;
}
↓
double f(double x, double y, double z, double t) {
        double r144802 = x;
        double r144803 = y;
        double r144804 = log(r144803);
        double r144805 = r144802 * r144804;
        double r144806 = r144805 - r144803;
        double r144807 = z;
        double r144808 = r144806 - r144807;
        double r144809 = t;
        double r144810 = log(r144809);
        double r144811 = r144808 + r144810;
        return r144811;
}

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 2020057 
(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)))