Average Error: 0.1 → 0.1
Time: 25.1s
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 r5114556 = x;
        double r5114557 = y;
        double r5114558 = log(r5114557);
        double r5114559 = r5114556 * r5114558;
        double r5114560 = r5114559 - r5114557;
        double r5114561 = z;
        double r5114562 = r5114560 - r5114561;
        double r5114563 = t;
        double r5114564 = log(r5114563);
        double r5114565 = r5114562 + r5114564;
        return r5114565;
}
↓
double f(double x, double y, double z, double t) {
        double r5114566 = t;
        double r5114567 = log(r5114566);
        double r5114568 = x;
        double r5114569 = y;
        double r5114570 = log(r5114569);
        double r5114571 = r5114568 * r5114570;
        double r5114572 = r5114571 - r5114569;
        double r5114573 = z;
        double r5114574 = r5114572 - r5114573;
        double r5114575 = r5114567 + r5114574;
        return r5114575;
}

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 2019162 
(FPCore (x y z t)
  :name "Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, A"
  (+ (- (- (* x (log y)) y) z) (log t)))