Average Error: 0.3 → 0.3
Time: 21.2s
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 r559857 = x;
        double r559858 = y;
        double r559859 = r559858 - r559857;
        double r559860 = 6.0;
        double r559861 = r559859 * r559860;
        double r559862 = z;
        double r559863 = r559861 * r559862;
        double r559864 = r559857 + r559863;
        return r559864;
}
↓
double f(double x, double y, double z) {
        double r559865 = x;
        double r559866 = y;
        double r559867 = r559866 - r559865;
        double r559868 = 6.0;
        double r559869 = r559867 * r559868;
        double r559870 = z;
        double r559871 = r559869 * r559870;
        double r559872 = r559865 + r559871;
        return r559872;
}

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
Herbie0.3
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2019199 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E"

  :herbie-target
  (- x (* (* 6.0 z) (- x y)))

  (+ x (* (* (- y x) 6.0) z)))