Average Error: 0.3 → 0.3
Time: 3.3s
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 r868241 = x;
        double r868242 = y;
        double r868243 = r868242 - r868241;
        double r868244 = 6.0;
        double r868245 = r868243 * r868244;
        double r868246 = z;
        double r868247 = r868245 * r868246;
        double r868248 = r868241 + r868247;
        return r868248;
}
↓
double f(double x, double y, double z) {
        double r868249 = x;
        double r868250 = y;
        double r868251 = r868250 - r868249;
        double r868252 = 6.0;
        double r868253 = r868251 * r868252;
        double r868254 = z;
        double r868255 = r868253 * r868254;
        double r868256 = r868249 + r868255;
        return r868256;
}

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 2019322 
(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)))