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 r122560 = x;
        double r122561 = y;
        double r122562 = log(r122561);
        double r122563 = r122560 * r122562;
        double r122564 = r122563 - r122561;
        double r122565 = z;
        double r122566 = r122564 - r122565;
        double r122567 = t;
        double r122568 = log(r122567);
        double r122569 = r122566 + r122568;
        return r122569;
}
↓
double f(double x, double y, double z, double t) {
        double r122570 = x;
        double r122571 = y;
        double r122572 = log(r122571);
        double r122573 = r122570 * r122572;
        double r122574 = r122573 - r122571;
        double r122575 = z;
        double r122576 = r122574 - r122575;
        double r122577 = t;
        double r122578 = log(r122577);
        double r122579 = r122576 + r122578;
        return r122579;
}

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 2020046 
(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)))