Average Error: 0.1 → 0.1
Time: 7.3s
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 r153442 = x;
        double r153443 = y;
        double r153444 = log(r153443);
        double r153445 = r153442 * r153444;
        double r153446 = r153445 - r153443;
        double r153447 = z;
        double r153448 = r153446 - r153447;
        double r153449 = t;
        double r153450 = log(r153449);
        double r153451 = r153448 + r153450;
        return r153451;
}
↓
double f(double x, double y, double z, double t) {
        double r153452 = x;
        double r153453 = y;
        double r153454 = log(r153453);
        double r153455 = r153452 * r153454;
        double r153456 = r153455 - r153453;
        double r153457 = z;
        double r153458 = r153456 - r153457;
        double r153459 = t;
        double r153460 = log(r153459);
        double r153461 = r153458 + r153460;
        return r153461;
}

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 2020057 +o rules:numerics
(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)))