Average Error: 0.2 → 0.2
Time: 3.7s
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 r917501 = x;
        double r917502 = y;
        double r917503 = r917502 - r917501;
        double r917504 = 6.0;
        double r917505 = r917503 * r917504;
        double r917506 = z;
        double r917507 = r917505 * r917506;
        double r917508 = r917501 + r917507;
        return r917508;
}
↓
double f(double x, double y, double z) {
        double r917509 = x;
        double r917510 = y;
        double r917511 = r917510 - r917509;
        double r917512 = 6.0;
        double r917513 = z;
        double r917514 = r917512 * r917513;
        double r917515 = r917511 * r917514;
        double r917516 = r917509 + r917515;
        return r917516;
}

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 2020060 
(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)))