Average Error: 0.1 → 0.1
Time: 17.3s
Precision: 64
\[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]
↓
\[\left(\left(x - \left(y + \frac{1}{2}\right) \cdot \log y\right) + y\right) - z\]
\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z
↓
\left(\left(x - \left(y + \frac{1}{2}\right) \cdot \log y\right) + y\right) - z
double f(double x, double y, double z) {
        double r244901 = x;
        double r244902 = y;
        double r244903 = 0.5;
        double r244904 = r244902 + r244903;
        double r244905 = log(r244902);
        double r244906 = r244904 * r244905;
        double r244907 = r244901 - r244906;
        double r244908 = r244907 + r244902;
        double r244909 = z;
        double r244910 = r244908 - r244909;
        return r244910;
}
↓
double f(double x, double y, double z) {
        double r244911 = x;
        double r244912 = y;
        double r244913 = 1.0;
        double r244914 = 2.0;
        double r244915 = r244913 / r244914;
        double r244916 = r244912 + r244915;
        double r244917 = log(r244912);
        double r244918 = r244916 * r244917;
        double r244919 = r244911 - r244918;
        double r244920 = r244919 + r244912;
        double r244921 = z;
        double r244922 = r244920 - r244921;
        return r244922;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[\left(\left(y + x\right) - z\right) - \left(y + 0.5\right) \cdot \log y\]

Derivation

  1. Initial program 0.1

    \[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]

  2. Final simplification0.1

    \[\leadsto \left(\left(x - \left(y + \frac{1}{2}\right) \cdot \log y\right) + y\right) - z\]

Reproduce

herbie shell --seed 2019303 
(FPCore (x y z)
  :name "Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (- (- (+ y x) z) (* (+ y 0.5) (log y)))

  (- (+ (- x (* (+ y 0.5) (log y))) y) z))