Average Error: 0.1 → 0.1
Time: 22.7s
Precision: 64
\[\left(\left(x \cdot \log y - y\right) - z\right) + \log t\]
↓
\[\log t + \left(\left(x \cdot \log y - y\right) - z\right)\]
\left(\left(x \cdot \log y - y\right) - z\right) + \log t
↓
\log t + \left(\left(x \cdot \log y - y\right) - z\right)
double f(double x, double y, double z, double t) {
        double r102086 = x;
        double r102087 = y;
        double r102088 = log(r102087);
        double r102089 = r102086 * r102088;
        double r102090 = r102089 - r102087;
        double r102091 = z;
        double r102092 = r102090 - r102091;
        double r102093 = t;
        double r102094 = log(r102093);
        double r102095 = r102092 + r102094;
        return r102095;
}
↓
double f(double x, double y, double z, double t) {
        double r102096 = t;
        double r102097 = log(r102096);
        double r102098 = x;
        double r102099 = y;
        double r102100 = log(r102099);
        double r102101 = r102098 * r102100;
        double r102102 = r102101 - r102099;
        double r102103 = z;
        double r102104 = r102102 - r102103;
        double r102105 = r102097 + r102104;
        return r102105;
}

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

    \[\leadsto \log t + \left(\left(x \cdot \log y - y\right) - z\right)\]

Reproduce

herbie shell --seed 2019194 
(FPCore (x y z t)
  :name "Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, A"
  (+ (- (- (* x (log y)) y) z) (log t)))