Average Error: 0.1 → 0.1
Time: 7.4s
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 r108093 = x;
        double r108094 = y;
        double r108095 = log(r108094);
        double r108096 = r108093 * r108095;
        double r108097 = r108096 - r108094;
        double r108098 = z;
        double r108099 = r108097 - r108098;
        double r108100 = t;
        double r108101 = log(r108100);
        double r108102 = r108099 + r108101;
        return r108102;
}
↓
double f(double x, double y, double z, double t) {
        double r108103 = x;
        double r108104 = y;
        double r108105 = log(r108104);
        double r108106 = r108103 * r108105;
        double r108107 = r108106 - r108104;
        double r108108 = z;
        double r108109 = r108107 - r108108;
        double r108110 = t;
        double r108111 = log(r108110);
        double r108112 = r108109 + r108111;
        return r108112;
}

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)))