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 r382977 = x;
        double r382978 = y;
        double r382979 = 0.5;
        double r382980 = r382978 + r382979;
        double r382981 = log(r382978);
        double r382982 = r382980 * r382981;
        double r382983 = r382977 - r382982;
        double r382984 = r382983 + r382978;
        double r382985 = z;
        double r382986 = r382984 - r382985;
        return r382986;
}
↓
double f(double x, double y, double z) {
        double r382987 = x;
        double r382988 = y;
        double r382989 = 0.5;
        double r382990 = r382988 + r382989;
        double r382991 = log(r382988);
        double r382992 = r382990 * r382991;
        double r382993 = r382987 - r382992;
        double r382994 = r382993 + r382988;
        double r382995 = z;
        double r382996 = r382994 - r382995;
        return r382996;
}

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))