Average Error: 0.3 → 0.2
Time: 3.0s
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 r846472 = x;
        double r846473 = y;
        double r846474 = r846473 - r846472;
        double r846475 = 6.0;
        double r846476 = r846474 * r846475;
        double r846477 = z;
        double r846478 = r846476 * r846477;
        double r846479 = r846472 + r846478;
        return r846479;
}
↓
double f(double x, double y, double z) {
        double r846480 = x;
        double r846481 = y;
        double r846482 = r846481 - r846480;
        double r846483 = 6.0;
        double r846484 = z;
        double r846485 = r846483 * r846484;
        double r846486 = r846482 * r846485;
        double r846487 = r846480 + r846486;
        return r846487;
}

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 2020064 
(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)))