Average Error: 0.2 → 0.2
Time: 18.1s
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 r728319 = x;
        double r728320 = y;
        double r728321 = r728320 - r728319;
        double r728322 = 6.0;
        double r728323 = r728321 * r728322;
        double r728324 = z;
        double r728325 = r728323 * r728324;
        double r728326 = r728319 + r728325;
        return r728326;
}
↓
double f(double x, double y, double z) {
        double r728327 = x;
        double r728328 = y;
        double r728329 = r728328 - r728327;
        double r728330 = 6.0;
        double r728331 = r728329 * r728330;
        double r728332 = z;
        double r728333 = r728331 * r728332;
        double r728334 = r728327 + r728333;
        return r728334;
}

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

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

Derivation

  1. Initial program 0.2

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

  2. Final simplification0.2

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

Reproduce

herbie shell --seed 2019351 +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)))