Average Error: 0.3 → 0.2
Time: 12.7s
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 r872520 = x;
        double r872521 = y;
        double r872522 = r872521 - r872520;
        double r872523 = 6.0;
        double r872524 = r872522 * r872523;
        double r872525 = z;
        double r872526 = r872524 * r872525;
        double r872527 = r872520 + r872526;
        return r872527;
}
↓
double f(double x, double y, double z) {
        double r872528 = x;
        double r872529 = y;
        double r872530 = r872529 - r872528;
        double r872531 = 6.0;
        double r872532 = z;
        double r872533 = r872531 * r872532;
        double r872534 = r872530 * r872533;
        double r872535 = r872528 + r872534;
        return r872535;
}

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 2020042 
(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)))