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 r916455 = x;
        double r916456 = y;
        double r916457 = r916456 - r916455;
        double r916458 = 6.0;
        double r916459 = r916457 * r916458;
        double r916460 = z;
        double r916461 = r916459 * r916460;
        double r916462 = r916455 + r916461;
        return r916462;
}
↓
double f(double x, double y, double z) {
        double r916463 = x;
        double r916464 = y;
        double r916465 = r916464 - r916463;
        double r916466 = 6.0;
        double r916467 = z;
        double r916468 = r916466 * r916467;
        double r916469 = r916465 * r916468;
        double r916470 = r916463 + r916469;
        return r916470;
}

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 2020065 
(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)))