Average Error: 0.3 → 0.2
Time: 3.2s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(y - x\right) \cdot \left(6 \cdot z\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(y - x\right) \cdot \left(6 \cdot z\right)
double f(double x, double y, double z) {
        double r882797 = x;
        double r882798 = y;
        double r882799 = r882798 - r882797;
        double r882800 = 6.0;
        double r882801 = r882799 * r882800;
        double r882802 = z;
        double r882803 = r882801 * r882802;
        double r882804 = r882797 + r882803;
        return r882804;
}
↓
double f(double x, double y, double z) {
        double r882805 = x;
        double r882806 = y;
        double r882807 = r882806 - r882805;
        double r882808 = 6.0;
        double r882809 = z;
        double r882810 = r882808 * r882809;
        double r882811 = r882807 * r882810;
        double r882812 = r882805 + r882811;
        return r882812;
}

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

Original0.3
Target0.2
Herbie0.2
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.3

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

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

Reproduce

herbie shell --seed 2020027 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E"
  :precision binary64

  :herbie-target
  (- x (* (* 6 z) (- x y)))

  (+ x (* (* (- y x) 6) z)))