Average Error: 0.1 → 0.1
Time: 14.9s
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 r84437 = x;
        double r84438 = y;
        double r84439 = log(r84438);
        double r84440 = r84437 * r84439;
        double r84441 = r84440 - r84438;
        double r84442 = z;
        double r84443 = r84441 - r84442;
        double r84444 = t;
        double r84445 = log(r84444);
        double r84446 = r84443 + r84445;
        return r84446;
}
↓
double f(double x, double y, double z, double t) {
        double r84447 = x;
        double r84448 = y;
        double r84449 = log(r84448);
        double r84450 = r84447 * r84449;
        double r84451 = r84450 - r84448;
        double r84452 = z;
        double r84453 = r84451 - r84452;
        double r84454 = t;
        double r84455 = log(r84454);
        double r84456 = r84453 + r84455;
        return r84456;
}

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 2019298 
(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)))