Average Error: 0.1 → 0.1
Time: 6.9s
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 r150319 = x;
        double r150320 = y;
        double r150321 = log(r150320);
        double r150322 = r150319 * r150321;
        double r150323 = r150322 - r150320;
        double r150324 = z;
        double r150325 = r150323 - r150324;
        double r150326 = t;
        double r150327 = log(r150326);
        double r150328 = r150325 + r150327;
        return r150328;
}
↓
double f(double x, double y, double z, double t) {
        double r150329 = x;
        double r150330 = y;
        double r150331 = log(r150330);
        double r150332 = r150329 * r150331;
        double r150333 = r150332 - r150330;
        double r150334 = z;
        double r150335 = r150333 - r150334;
        double r150336 = t;
        double r150337 = log(r150336);
        double r150338 = r150335 + r150337;
        return r150338;
}

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 2020001 
(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)))