Average Error: 0.3 → 0.2
Time: 19.4s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(y - x\right) \cdot \left(z \cdot 6\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(y - x\right) \cdot \left(z \cdot 6\right)
double f(double x, double y, double z) {
        double r670539 = x;
        double r670540 = y;
        double r670541 = r670540 - r670539;
        double r670542 = 6.0;
        double r670543 = r670541 * r670542;
        double r670544 = z;
        double r670545 = r670543 * r670544;
        double r670546 = r670539 + r670545;
        return r670546;
}
↓
double f(double x, double y, double z) {
        double r670547 = x;
        double r670548 = y;
        double r670549 = r670548 - r670547;
        double r670550 = z;
        double r670551 = 6.0;
        double r670552 = r670550 * r670551;
        double r670553 = r670549 * r670552;
        double r670554 = r670547 + r670553;
        return r670554;
}

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. Simplified0.2

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

  5. Final simplification0.2

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

Reproduce

herbie shell --seed 2019326 
(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)))