Average Error: 0.3 → 0.2
Time: 3.9s
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 r866023 = x;
        double r866024 = y;
        double r866025 = r866024 - r866023;
        double r866026 = 6.0;
        double r866027 = r866025 * r866026;
        double r866028 = z;
        double r866029 = r866027 * r866028;
        double r866030 = r866023 + r866029;
        return r866030;
}
↓
double f(double x, double y, double z) {
        double r866031 = x;
        double r866032 = y;
        double r866033 = r866032 - r866031;
        double r866034 = 6.0;
        double r866035 = z;
        double r866036 = r866034 * r866035;
        double r866037 = r866033 * r866036;
        double r866038 = r866031 + r866037;
        return r866038;
}

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 2020001 
(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)))