Average Error: 0.2 → 0.2
Time: 13.0s
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 r605805 = x;
        double r605806 = y;
        double r605807 = r605806 - r605805;
        double r605808 = 6.0;
        double r605809 = r605807 * r605808;
        double r605810 = z;
        double r605811 = r605809 * r605810;
        double r605812 = r605805 + r605811;
        return r605812;
}
↓
double f(double x, double y, double z) {
        double r605813 = x;
        double r605814 = y;
        double r605815 = r605814 - r605813;
        double r605816 = 6.0;
        double r605817 = z;
        double r605818 = r605816 * r605817;
        double r605819 = r605815 * r605818;
        double r605820 = r605813 + r605819;
        return r605820;
}

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

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

Reproduce

herbie shell --seed 2019291 
(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)))