Average Error: 0.3 → 0.2
Time: 4.1s
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 r864479 = x;
        double r864480 = y;
        double r864481 = r864480 - r864479;
        double r864482 = 6.0;
        double r864483 = r864481 * r864482;
        double r864484 = z;
        double r864485 = r864483 * r864484;
        double r864486 = r864479 + r864485;
        return r864486;
}
↓
double f(double x, double y, double z) {
        double r864487 = x;
        double r864488 = y;
        double r864489 = r864488 - r864487;
        double r864490 = 6.0;
        double r864491 = z;
        double r864492 = r864490 * r864491;
        double r864493 = r864489 * r864492;
        double r864494 = r864487 + r864493;
        return r864494;
}

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 2020100 
(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)))