Average Error: 0.2 → 0.2
Time: 57.6s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(z \cdot 6\right) \cdot \left(y - x\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(z \cdot 6\right) \cdot \left(y - x\right)
double f(double x, double y, double z) {
        double r37255690 = x;
        double r37255691 = y;
        double r37255692 = r37255691 - r37255690;
        double r37255693 = 6.0;
        double r37255694 = r37255692 * r37255693;
        double r37255695 = z;
        double r37255696 = r37255694 * r37255695;
        double r37255697 = r37255690 + r37255696;
        return r37255697;
}
↓
double f(double x, double y, double z) {
        double r37255698 = x;
        double r37255699 = z;
        double r37255700 = 6.0;
        double r37255701 = r37255699 * r37255700;
        double r37255702 = y;
        double r37255703 = r37255702 - r37255698;
        double r37255704 = r37255701 * r37255703;
        double r37255705 = r37255698 + r37255704;
        return r37255705;
}

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

Original0.2
Target0.2
Herbie0.2
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.2

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
  2. Using strategy rm

  3. Applied associate-*l*0.2

    \[\leadsto x + \color{blue}{\left(y - x\right) \cdot \left(6 \cdot z\right)}\]

  4. Final simplification0.2

    \[\leadsto x + \left(z \cdot 6\right) \cdot \left(y - x\right)\]

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E"

  :herbie-target
  (- x (* (* 6.0 z) (- x y)))

  (+ x (* (* (- y x) 6.0) z)))