Average Error: 0.1 → 0.1
Time: 6.7s
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 r102576 = x;
        double r102577 = y;
        double r102578 = log(r102577);
        double r102579 = r102576 * r102578;
        double r102580 = r102579 - r102577;
        double r102581 = z;
        double r102582 = r102580 - r102581;
        double r102583 = t;
        double r102584 = log(r102583);
        double r102585 = r102582 + r102584;
        return r102585;
}
↓
double f(double x, double y, double z, double t) {
        double r102586 = x;
        double r102587 = y;
        double r102588 = log(r102587);
        double r102589 = r102586 * r102588;
        double r102590 = r102589 - r102587;
        double r102591 = z;
        double r102592 = r102590 - r102591;
        double r102593 = t;
        double r102594 = log(r102593);
        double r102595 = r102592 + r102594;
        return r102595;
}

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 2020024 
(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)))