Average Error: 0.1 → 0.1
Time: 5.7s
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 r449925 = x;
        double r449926 = y;
        double r449927 = 0.5;
        double r449928 = r449926 + r449927;
        double r449929 = log(r449926);
        double r449930 = r449928 * r449929;
        double r449931 = r449925 - r449930;
        double r449932 = r449931 + r449926;
        double r449933 = z;
        double r449934 = r449932 - r449933;
        return r449934;
}
↓
double f(double x, double y, double z) {
        double r449935 = x;
        double r449936 = y;
        double r449937 = 0.5;
        double r449938 = r449936 + r449937;
        double r449939 = log(r449936);
        double r449940 = r449938 * r449939;
        double r449941 = r449935 - r449940;
        double r449942 = r449941 + r449936;
        double r449943 = z;
        double r449944 = r449942 - r449943;
        return r449944;
}

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 2020046 
(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))