Average Error: 0.3 → 0.2
Time: 23.4s
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 r960571 = x;
        double r960572 = y;
        double r960573 = r960572 - r960571;
        double r960574 = 6.0;
        double r960575 = r960573 * r960574;
        double r960576 = z;
        double r960577 = r960575 * r960576;
        double r960578 = r960571 + r960577;
        return r960578;
}
↓
double f(double x, double y, double z) {
        double r960579 = x;
        double r960580 = y;
        double r960581 = r960580 - r960579;
        double r960582 = 6.0;
        double r960583 = z;
        double r960584 = r960582 * r960583;
        double r960585 = r960581 * r960584;
        double r960586 = r960579 + r960585;
        return r960586;
}

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 2020047 
(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)))