Average Error: 0.1 → 0.1
Time: 25.5s
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 r77027 = x;
        double r77028 = y;
        double r77029 = log(r77028);
        double r77030 = r77027 * r77029;
        double r77031 = r77030 - r77028;
        double r77032 = z;
        double r77033 = r77031 - r77032;
        double r77034 = t;
        double r77035 = log(r77034);
        double r77036 = r77033 + r77035;
        return r77036;
}
↓
double f(double x, double y, double z, double t) {
        double r77037 = x;
        double r77038 = y;
        double r77039 = log(r77038);
        double r77040 = r77037 * r77039;
        double r77041 = r77040 - r77038;
        double r77042 = z;
        double r77043 = r77041 - r77042;
        double r77044 = t;
        double r77045 = log(r77044);
        double r77046 = r77043 + r77045;
        return r77046;
}

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 2019326 
(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)))