Average Error: 0.1 → 0.1
Time: 6.8s
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 r117599 = x;
        double r117600 = y;
        double r117601 = log(r117600);
        double r117602 = r117599 * r117601;
        double r117603 = r117602 - r117600;
        double r117604 = z;
        double r117605 = r117603 - r117604;
        double r117606 = t;
        double r117607 = log(r117606);
        double r117608 = r117605 + r117607;
        return r117608;
}
↓
double f(double x, double y, double z, double t) {
        double r117609 = x;
        double r117610 = y;
        double r117611 = log(r117610);
        double r117612 = r117609 * r117611;
        double r117613 = r117612 - r117610;
        double r117614 = z;
        double r117615 = r117613 - r117614;
        double r117616 = t;
        double r117617 = log(r117616);
        double r117618 = r117615 + r117617;
        return r117618;
}

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 2020018 
(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)))