Average Error: 0.1 → 0.1
Time: 8.1s
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 r86161 = x;
        double r86162 = y;
        double r86163 = log(r86162);
        double r86164 = r86161 * r86163;
        double r86165 = r86164 - r86162;
        double r86166 = z;
        double r86167 = r86165 - r86166;
        double r86168 = t;
        double r86169 = log(r86168);
        double r86170 = r86167 + r86169;
        return r86170;
}
↓
double f(double x, double y, double z, double t) {
        double r86171 = x;
        double r86172 = y;
        double r86173 = log(r86172);
        double r86174 = r86171 * r86173;
        double r86175 = r86174 - r86172;
        double r86176 = z;
        double r86177 = r86175 - r86176;
        double r86178 = t;
        double r86179 = log(r86178);
        double r86180 = r86177 + r86179;
        return r86180;
}

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 2020036 
(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)))