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 r84245 = x;
        double r84246 = y;
        double r84247 = log(r84246);
        double r84248 = r84245 * r84247;
        double r84249 = r84248 - r84246;
        double r84250 = z;
        double r84251 = r84249 - r84250;
        double r84252 = t;
        double r84253 = log(r84252);
        double r84254 = r84251 + r84253;
        return r84254;
}
↓
double f(double x, double y, double z, double t) {
        double r84255 = x;
        double r84256 = y;
        double r84257 = log(r84256);
        double r84258 = r84255 * r84257;
        double r84259 = r84258 - r84256;
        double r84260 = z;
        double r84261 = r84259 - r84260;
        double r84262 = t;
        double r84263 = log(r84262);
        double r84264 = r84261 + r84263;
        return r84264;
}

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 2019323 
(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)))