Average Error: 0.1 → 0.1
Time: 8.0s
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 r429893 = x;
        double r429894 = y;
        double r429895 = 0.5;
        double r429896 = r429894 + r429895;
        double r429897 = log(r429894);
        double r429898 = r429896 * r429897;
        double r429899 = r429893 - r429898;
        double r429900 = r429899 + r429894;
        double r429901 = z;
        double r429902 = r429900 - r429901;
        return r429902;
}
↓
double f(double x, double y, double z) {
        double r429903 = x;
        double r429904 = y;
        double r429905 = 0.5;
        double r429906 = r429904 + r429905;
        double r429907 = log(r429904);
        double r429908 = r429906 * r429907;
        double r429909 = r429903 - r429908;
        double r429910 = r429909 + r429904;
        double r429911 = z;
        double r429912 = r429910 - r429911;
        return r429912;
}

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 2020100 
(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))