Average Error: 0.3 → 0.3
Time: 4.3s
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 r949066 = x;
        double r949067 = y;
        double r949068 = r949067 - r949066;
        double r949069 = 6.0;
        double r949070 = r949068 * r949069;
        double r949071 = z;
        double r949072 = r949070 * r949071;
        double r949073 = r949066 + r949072;
        return r949073;
}
↓
double f(double x, double y, double z) {
        double r949074 = x;
        double r949075 = y;
        double r949076 = r949075 - r949074;
        double r949077 = 6.0;
        double r949078 = r949076 * r949077;
        double r949079 = z;
        double r949080 = r949078 * r949079;
        double r949081 = r949074 + r949080;
        return r949081;
}

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 2020083 
(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)))