Average Error: 0.1 → 0.1
Time: 18.4s
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 r503867 = x;
        double r503868 = y;
        double r503869 = 0.5;
        double r503870 = r503868 + r503869;
        double r503871 = log(r503868);
        double r503872 = r503870 * r503871;
        double r503873 = r503867 - r503872;
        double r503874 = r503873 + r503868;
        double r503875 = z;
        double r503876 = r503874 - r503875;
        return r503876;
}
↓
double f(double x, double y, double z) {
        double r503877 = x;
        double r503878 = y;
        double r503879 = 0.5;
        double r503880 = r503878 + r503879;
        double r503881 = log(r503878);
        double r503882 = r503880 * r503881;
        double r503883 = r503877 - r503882;
        double r503884 = r503883 + r503878;
        double r503885 = z;
        double r503886 = r503884 - r503885;
        return r503886;
}

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 2019209 
(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))