Average Error: 0.1 → 0.1
Time: 24.3s
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 r4986731 = x;
        double r4986732 = y;
        double r4986733 = log(r4986732);
        double r4986734 = r4986731 * r4986733;
        double r4986735 = r4986734 - r4986732;
        double r4986736 = z;
        double r4986737 = r4986735 - r4986736;
        double r4986738 = t;
        double r4986739 = log(r4986738);
        double r4986740 = r4986737 + r4986739;
        return r4986740;
}
↓
double f(double x, double y, double z, double t) {
        double r4986741 = t;
        double r4986742 = log(r4986741);
        double r4986743 = x;
        double r4986744 = y;
        double r4986745 = log(r4986744);
        double r4986746 = r4986743 * r4986745;
        double r4986747 = r4986746 - r4986744;
        double r4986748 = z;
        double r4986749 = r4986747 - r4986748;
        double r4986750 = r4986742 + r4986749;
        return r4986750;
}

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 2019170 
(FPCore (x y z t)
  :name "Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, A"
  (+ (- (- (* x (log y)) y) z) (log t)))