Average Error: 0.3 → 0.2
Time: 2.4s
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 r855968 = x;
        double r855969 = y;
        double r855970 = r855969 - r855968;
        double r855971 = 6.0;
        double r855972 = r855970 * r855971;
        double r855973 = z;
        double r855974 = r855972 * r855973;
        double r855975 = r855968 + r855974;
        return r855975;
}
↓
double f(double x, double y, double z) {
        double r855976 = x;
        double r855977 = y;
        double r855978 = r855977 - r855976;
        double r855979 = 6.0;
        double r855980 = z;
        double r855981 = r855979 * r855980;
        double r855982 = r855978 * r855981;
        double r855983 = r855976 + r855982;
        return r855983;
}

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)))