Average Error: 0.1 → 0.1
Time: 33.2s
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 r936870 = x;
        double r936871 = y;
        double r936872 = 0.5;
        double r936873 = r936871 + r936872;
        double r936874 = log(r936871);
        double r936875 = r936873 * r936874;
        double r936876 = r936870 - r936875;
        double r936877 = r936876 + r936871;
        double r936878 = z;
        double r936879 = r936877 - r936878;
        return r936879;
}
↓
double f(double x, double y, double z) {
        double r936880 = x;
        double r936881 = y;
        double r936882 = 0.5;
        double r936883 = r936881 + r936882;
        double r936884 = log(r936881);
        double r936885 = r936883 * r936884;
        double r936886 = r936880 - r936885;
        double r936887 = r936886 + r936881;
        double r936888 = z;
        double r936889 = r936887 - r936888;
        return r936889;
}

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 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))