Average Error: 0.1 → 0.1
Time: 15.4s
Precision: 64
\[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]
↓
\[\left(x + \left(y - z\right)\right) - \left(y + 0.5\right) \cdot \log y\]
\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z
↓
\left(x + \left(y - z\right)\right) - \left(y + 0.5\right) \cdot \log y
double f(double x, double y, double z) {
        double r304737 = x;
        double r304738 = y;
        double r304739 = 0.5;
        double r304740 = r304738 + r304739;
        double r304741 = log(r304738);
        double r304742 = r304740 * r304741;
        double r304743 = r304737 - r304742;
        double r304744 = r304743 + r304738;
        double r304745 = z;
        double r304746 = r304744 - r304745;
        return r304746;
}
↓
double f(double x, double y, double z) {
        double r304747 = x;
        double r304748 = y;
        double r304749 = z;
        double r304750 = r304748 - r304749;
        double r304751 = r304747 + r304750;
        double r304752 = 0.5;
        double r304753 = r304748 + r304752;
        double r304754 = log(r304748);
        double r304755 = r304753 * r304754;
        double r304756 = r304751 - r304755;
        return r304756;
}

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. Simplified0.1

    \[\leadsto \color{blue}{\left(\left(y - z\right) + x\right) - \log y \cdot \left(0.5 + y\right)}\]

  3. Final simplification0.1

    \[\leadsto \left(x + \left(y - z\right)\right) - \left(y + 0.5\right) \cdot \log y\]

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z)
  :name "Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2"

  :herbie-target
  (- (- (+ y x) z) (* (+ y 0.5) (log y)))

  (- (+ (- x (* (+ y 0.5) (log y))) y) z))