Average Error: 0.1 → 0.1
Time: 6.8s
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 r444721 = x;
        double r444722 = y;
        double r444723 = 0.5;
        double r444724 = r444722 + r444723;
        double r444725 = log(r444722);
        double r444726 = r444724 * r444725;
        double r444727 = r444721 - r444726;
        double r444728 = r444727 + r444722;
        double r444729 = z;
        double r444730 = r444728 - r444729;
        return r444730;
}
↓
double f(double x, double y, double z) {
        double r444731 = x;
        double r444732 = y;
        double r444733 = 0.5;
        double r444734 = r444732 + r444733;
        double r444735 = log(r444732);
        double r444736 = r444734 * r444735;
        double r444737 = r444731 - r444736;
        double r444738 = r444737 + r444732;
        double r444739 = z;
        double r444740 = r444738 - r444739;
        return r444740;
}

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))