Average Error: 0.3 → 0.2
Time: 13.1s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(y - x\right) \cdot \left(6 \cdot z\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(y - x\right) \cdot \left(6 \cdot z\right)
double f(double x, double y, double z) {
        double r970232 = x;
        double r970233 = y;
        double r970234 = r970233 - r970232;
        double r970235 = 6.0;
        double r970236 = r970234 * r970235;
        double r970237 = z;
        double r970238 = r970236 * r970237;
        double r970239 = r970232 + r970238;
        return r970239;
}
↓
double f(double x, double y, double z) {
        double r970240 = x;
        double r970241 = y;
        double r970242 = r970241 - r970240;
        double r970243 = 6.0;
        double r970244 = z;
        double r970245 = r970243 * r970244;
        double r970246 = r970242 * r970245;
        double r970247 = r970240 + r970246;
        return r970247;
}

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

Derivation

  1. Initial program 0.3

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
  2. Using strategy rm

  3. Applied associate-*l*0.2

    \[\leadsto x + \color{blue}{\left(y - x\right) \cdot \left(6 \cdot z\right)}\]

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2020047 
(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)))