Average Error: 0.1 → 0.1
Time: 7.8s
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 r336865 = x;
        double r336866 = y;
        double r336867 = 0.5;
        double r336868 = r336866 + r336867;
        double r336869 = log(r336866);
        double r336870 = r336868 * r336869;
        double r336871 = r336865 - r336870;
        double r336872 = r336871 + r336866;
        double r336873 = z;
        double r336874 = r336872 - r336873;
        return r336874;
}
↓
double f(double x, double y, double z) {
        double r336875 = x;
        double r336876 = y;
        double r336877 = 0.5;
        double r336878 = r336876 + r336877;
        double r336879 = log(r336876);
        double r336880 = r336878 * r336879;
        double r336881 = r336875 - r336880;
        double r336882 = r336881 + r336876;
        double r336883 = z;
        double r336884 = r336882 - r336883;
        return r336884;
}

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 2019353 
(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))