Average Error: 0.3 → 0.2
Time: 11.5s
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 r539206 = x;
        double r539207 = y;
        double r539208 = r539207 - r539206;
        double r539209 = 6.0;
        double r539210 = r539208 * r539209;
        double r539211 = z;
        double r539212 = r539210 * r539211;
        double r539213 = r539206 + r539212;
        return r539213;
}
↓
double f(double x, double y, double z) {
        double r539214 = x;
        double r539215 = y;
        double r539216 = r539215 - r539214;
        double r539217 = 6.0;
        double r539218 = z;
        double r539219 = r539217 * r539218;
        double r539220 = r539216 * r539219;
        double r539221 = r539214 + r539220;
        return r539221;
}

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 2019298 
(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)))