Average Error: 0.3 → 0.3
Time: 23.6s
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 r587169 = x;
        double r587170 = y;
        double r587171 = r587170 - r587169;
        double r587172 = 6.0;
        double r587173 = r587171 * r587172;
        double r587174 = z;
        double r587175 = r587173 * r587174;
        double r587176 = r587169 + r587175;
        return r587176;
}
↓
double f(double x, double y, double z) {
        double r587177 = x;
        double r587178 = y;
        double r587179 = r587178 - r587177;
        double r587180 = 6.0;
        double r587181 = r587179 * r587180;
        double r587182 = z;
        double r587183 = r587181 * r587182;
        double r587184 = r587177 + r587183;
        return r587184;
}

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 2019306 
(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)))