Average Error: 0.3 → 0.2
Time: 3.9s
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 r873183 = x;
        double r873184 = y;
        double r873185 = r873184 - r873183;
        double r873186 = 6.0;
        double r873187 = r873185 * r873186;
        double r873188 = z;
        double r873189 = r873187 * r873188;
        double r873190 = r873183 + r873189;
        return r873190;
}
↓
double f(double x, double y, double z) {
        double r873191 = x;
        double r873192 = y;
        double r873193 = r873192 - r873191;
        double r873194 = 6.0;
        double r873195 = z;
        double r873196 = r873194 * r873195;
        double r873197 = r873193 * r873196;
        double r873198 = r873191 + r873197;
        return r873198;
}

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 2020001 
(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)))