Average Error: 0.3 → 0.2
Time: 11.0s
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 r824170 = x;
        double r824171 = y;
        double r824172 = r824171 - r824170;
        double r824173 = 6.0;
        double r824174 = r824172 * r824173;
        double r824175 = z;
        double r824176 = r824174 * r824175;
        double r824177 = r824170 + r824176;
        return r824177;
}
↓
double f(double x, double y, double z) {
        double r824178 = x;
        double r824179 = y;
        double r824180 = r824179 - r824178;
        double r824181 = 6.0;
        double r824182 = z;
        double r824183 = r824181 * r824182;
        double r824184 = r824180 * r824183;
        double r824185 = r824178 + r824184;
        return r824185;
}

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)))