Average Error: 0.1 → 0.1
Time: 25.9s
Precision: 64
\[\left(\left(x \cdot \log y - y\right) - z\right) + \log t\]
↓
\[\log t + \left(\left(x \cdot \log y - y\right) - z\right)\]
\left(\left(x \cdot \log y - y\right) - z\right) + \log t
↓
\log t + \left(\left(x \cdot \log y - y\right) - z\right)
double f(double x, double y, double z, double t) {
        double r4845830 = x;
        double r4845831 = y;
        double r4845832 = log(r4845831);
        double r4845833 = r4845830 * r4845832;
        double r4845834 = r4845833 - r4845831;
        double r4845835 = z;
        double r4845836 = r4845834 - r4845835;
        double r4845837 = t;
        double r4845838 = log(r4845837);
        double r4845839 = r4845836 + r4845838;
        return r4845839;
}
↓
double f(double x, double y, double z, double t) {
        double r4845840 = t;
        double r4845841 = log(r4845840);
        double r4845842 = x;
        double r4845843 = y;
        double r4845844 = log(r4845843);
        double r4845845 = r4845842 * r4845844;
        double r4845846 = r4845845 - r4845843;
        double r4845847 = z;
        double r4845848 = r4845846 - r4845847;
        double r4845849 = r4845841 + r4845848;
        return r4845849;
}

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

    \[\leadsto \log t + \left(\left(x \cdot \log y - y\right) - z\right)\]

Reproduce

herbie shell --seed 2019162 +o rules:numerics
(FPCore (x y z t)
  :name "Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, A"
  (+ (- (- (* x (log y)) y) z) (log t)))