Average Error: 0.3 → 0.2
Time: 4.2s
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 r596306 = x;
        double r596307 = y;
        double r596308 = r596307 - r596306;
        double r596309 = 6.0;
        double r596310 = r596308 * r596309;
        double r596311 = z;
        double r596312 = r596310 * r596311;
        double r596313 = r596306 + r596312;
        return r596313;
}
↓
double f(double x, double y, double z) {
        double r596314 = x;
        double r596315 = y;
        double r596316 = r596315 - r596314;
        double r596317 = 6.0;
        double r596318 = z;
        double r596319 = r596317 * r596318;
        double r596320 = r596316 * r596319;
        double r596321 = r596314 + r596320;
        return r596321;
}

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 1978988140 
(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)))