Average Error: 0.1 → 0.1
Time: 34.1s
Precision: 64
\[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]
↓
\[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]
\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z
↓
\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z
double f(double x, double y, double z) {
        double r268823 = x;
        double r268824 = y;
        double r268825 = 0.5;
        double r268826 = r268824 + r268825;
        double r268827 = log(r268824);
        double r268828 = r268826 * r268827;
        double r268829 = r268823 - r268828;
        double r268830 = r268829 + r268824;
        double r268831 = z;
        double r268832 = r268830 - r268831;
        return r268832;
}
↓
double f(double x, double y, double z) {
        double r268833 = x;
        double r268834 = y;
        double r268835 = 0.5;
        double r268836 = r268834 + r268835;
        double r268837 = log(r268834);
        double r268838 = r268836 * r268837;
        double r268839 = r268833 - r268838;
        double r268840 = r268839 + r268834;
        double r268841 = z;
        double r268842 = r268840 - r268841;
        return r268842;
}

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

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

Reproduce

herbie shell --seed 2019325 
(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))