Average Error: 0.3 → 0.2
Time: 10.4s
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 r534801 = x;
        double r534802 = y;
        double r534803 = r534802 - r534801;
        double r534804 = 6.0;
        double r534805 = r534803 * r534804;
        double r534806 = z;
        double r534807 = r534805 * r534806;
        double r534808 = r534801 + r534807;
        return r534808;
}
↓
double f(double x, double y, double z) {
        double r534809 = x;
        double r534810 = y;
        double r534811 = r534810 - r534809;
        double r534812 = 6.0;
        double r534813 = z;
        double r534814 = r534812 * r534813;
        double r534815 = r534811 * r534814;
        double r534816 = r534809 + r534815;
        return r534816;
}

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 2019235 
(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)))