Average Error: 0.1 → 0.1
Time: 7.3s
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 r427864 = x;
        double r427865 = y;
        double r427866 = 0.5;
        double r427867 = r427865 + r427866;
        double r427868 = log(r427865);
        double r427869 = r427867 * r427868;
        double r427870 = r427864 - r427869;
        double r427871 = r427870 + r427865;
        double r427872 = z;
        double r427873 = r427871 - r427872;
        return r427873;
}
↓
double f(double x, double y, double z) {
        double r427874 = x;
        double r427875 = y;
        double r427876 = 0.5;
        double r427877 = r427875 + r427876;
        double r427878 = log(r427875);
        double r427879 = r427877 * r427878;
        double r427880 = r427874 - r427879;
        double r427881 = r427880 + r427875;
        double r427882 = z;
        double r427883 = r427881 - r427882;
        return r427883;
}

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 2020001 
(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))