Average Error: 0.3 → 0.2
Time: 5.1s
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 r736615 = x;
        double r736616 = y;
        double r736617 = r736616 - r736615;
        double r736618 = 6.0;
        double r736619 = r736617 * r736618;
        double r736620 = z;
        double r736621 = r736619 * r736620;
        double r736622 = r736615 + r736621;
        return r736622;
}
↓
double f(double x, double y, double z) {
        double r736623 = x;
        double r736624 = y;
        double r736625 = r736624 - r736623;
        double r736626 = 6.0;
        double r736627 = z;
        double r736628 = r736626 * r736627;
        double r736629 = r736625 * r736628;
        double r736630 = r736623 + r736629;
        return r736630;
}

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 2019304 
(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)))