Average Error: 0.1 → 0.1
Time: 24.4s
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 r397689 = x;
        double r397690 = y;
        double r397691 = 0.5;
        double r397692 = r397690 + r397691;
        double r397693 = log(r397690);
        double r397694 = r397692 * r397693;
        double r397695 = r397689 - r397694;
        double r397696 = r397695 + r397690;
        double r397697 = z;
        double r397698 = r397696 - r397697;
        return r397698;
}
↓
double f(double x, double y, double z) {
        double r397699 = x;
        double r397700 = y;
        double r397701 = 0.5;
        double r397702 = r397700 + r397701;
        double r397703 = log(r397700);
        double r397704 = r397702 * r397703;
        double r397705 = r397699 - r397704;
        double r397706 = r397705 + r397700;
        double r397707 = z;
        double r397708 = r397706 - r397707;
        return r397708;
}

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))