Average Error: 0.2 → 0.2
Time: 13.3s
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 r673918 = x;
        double r673919 = y;
        double r673920 = r673919 - r673918;
        double r673921 = 6.0;
        double r673922 = r673920 * r673921;
        double r673923 = z;
        double r673924 = r673922 * r673923;
        double r673925 = r673918 + r673924;
        return r673925;
}
↓
double f(double x, double y, double z) {
        double r673926 = x;
        double r673927 = y;
        double r673928 = r673927 - r673926;
        double r673929 = 6.0;
        double r673930 = z;
        double r673931 = r673929 * r673930;
        double r673932 = r673928 * r673931;
        double r673933 = r673926 + r673932;
        return r673933;
}

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

Original0.2
Target0.2
Herbie0.2
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.2

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
  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 2019303 
(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)))