Average Error: 0.1 → 0.1
Time: 16.1s
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 r1575543 = x;
        double r1575544 = y;
        double r1575545 = log(r1575544);
        double r1575546 = r1575543 * r1575545;
        double r1575547 = r1575546 - r1575544;
        double r1575548 = z;
        double r1575549 = r1575547 - r1575548;
        double r1575550 = t;
        double r1575551 = log(r1575550);
        double r1575552 = r1575549 + r1575551;
        return r1575552;
}
↓
double f(double x, double y, double z, double t) {
        double r1575553 = t;
        double r1575554 = log(r1575553);
        double r1575555 = x;
        double r1575556 = y;
        double r1575557 = log(r1575556);
        double r1575558 = r1575555 * r1575557;
        double r1575559 = r1575558 - r1575556;
        double r1575560 = z;
        double r1575561 = r1575559 - r1575560;
        double r1575562 = r1575554 + r1575561;
        return r1575562;
}

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 2019156 
(FPCore (x y z t)
  :name "Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, A"
  (+ (- (- (* x (log y)) y) z) (log t)))