Average Error: 0.1 → 0.1
Time: 32.6s
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 r228719 = x;
        double r228720 = y;
        double r228721 = 0.5;
        double r228722 = r228720 + r228721;
        double r228723 = log(r228720);
        double r228724 = r228722 * r228723;
        double r228725 = r228719 - r228724;
        double r228726 = r228725 + r228720;
        double r228727 = z;
        double r228728 = r228726 - r228727;
        return r228728;
}
↓
double f(double x, double y, double z) {
        double r228729 = x;
        double r228730 = y;
        double r228731 = 0.5;
        double r228732 = r228730 + r228731;
        double r228733 = log(r228730);
        double r228734 = r228732 * r228733;
        double r228735 = r228729 - r228734;
        double r228736 = r228735 + r228730;
        double r228737 = z;
        double r228738 = r228736 - r228737;
        return r228738;
}

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 2019326 
(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))