Average Error: 0.4 → 0.4
Time: 4.4s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
double f(double x, double y, double z) {
        double r794841 = x;
        double r794842 = y;
        double r794843 = r794842 - r794841;
        double r794844 = 6.0;
        double r794845 = r794843 * r794844;
        double r794846 = z;
        double r794847 = r794845 * r794846;
        double r794848 = r794841 + r794847;
        return r794848;
}
↓
double f(double x, double y, double z) {
        double r794849 = x;
        double r794850 = y;
        double r794851 = r794850 - r794849;
        double r794852 = 6.0;
        double r794853 = r794851 * r794852;
        double r794854 = z;
        double r794855 = r794853 * r794854;
        double r794856 = r794849 + r794855;
        return r794856;
}

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

Original0.4
Target0.2
Herbie0.4
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.4

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

  2. Final simplification0.4

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

Reproduce

herbie shell --seed 2020081 +o rules:numerics
(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)))