Average Error: 0.1 → 0.1
Time: 6.6s
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 r111651 = x;
        double r111652 = y;
        double r111653 = log(r111652);
        double r111654 = r111651 * r111653;
        double r111655 = r111654 - r111652;
        double r111656 = z;
        double r111657 = r111655 - r111656;
        double r111658 = t;
        double r111659 = log(r111658);
        double r111660 = r111657 + r111659;
        return r111660;
}
↓
double f(double x, double y, double z, double t) {
        double r111661 = x;
        double r111662 = y;
        double r111663 = log(r111662);
        double r111664 = r111661 * r111663;
        double r111665 = r111664 - r111662;
        double r111666 = z;
        double r111667 = r111665 - r111666;
        double r111668 = t;
        double r111669 = log(r111668);
        double r111670 = r111667 + r111669;
        return r111670;
}

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 2020025 
(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)))