Average Error: 0.3 → 0.3
Time: 4.4s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
double f(double x, double y, double z) {
        double r947615 = x;
        double r947616 = y;
        double r947617 = r947616 - r947615;
        double r947618 = 6.0;
        double r947619 = r947617 * r947618;
        double r947620 = z;
        double r947621 = r947619 * r947620;
        double r947622 = r947615 + r947621;
        return r947622;
}
↓
double f(double x, double y, double z) {
        double r947623 = x;
        double r947624 = y;
        double r947625 = r947624 - r947623;
        double r947626 = 6.0;
        double r947627 = r947625 * r947626;
        double r947628 = z;
        double r947629 = r947627 * r947628;
        double r947630 = r947623 + r947629;
        return r947630;
}

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
Herbie0.3
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2020035 
(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)))