Average Error: 0.3 → 0.2
Time: 13.0s
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 r1050967 = x;
        double r1050968 = y;
        double r1050969 = r1050968 - r1050967;
        double r1050970 = 6.0;
        double r1050971 = r1050969 * r1050970;
        double r1050972 = z;
        double r1050973 = r1050971 * r1050972;
        double r1050974 = r1050967 + r1050973;
        return r1050974;
}
↓
double f(double x, double y, double z) {
        double r1050975 = x;
        double r1050976 = y;
        double r1050977 = r1050976 - r1050975;
        double r1050978 = 6.0;
        double r1050979 = z;
        double r1050980 = r1050978 * r1050979;
        double r1050981 = r1050977 * r1050980;
        double r1050982 = r1050975 + r1050981;
        return r1050982;
}

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)))