Average Error: 0.3 → 0.2
Time: 2.6s
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 r757375 = x;
        double r757376 = y;
        double r757377 = r757376 - r757375;
        double r757378 = 6.0;
        double r757379 = r757377 * r757378;
        double r757380 = z;
        double r757381 = r757379 * r757380;
        double r757382 = r757375 + r757381;
        return r757382;
}
↓
double f(double x, double y, double z) {
        double r757383 = x;
        double r757384 = y;
        double r757385 = r757384 - r757383;
        double r757386 = 6.0;
        double r757387 = z;
        double r757388 = r757386 * r757387;
        double r757389 = r757385 * r757388;
        double r757390 = r757383 + r757389;
        return r757390;
}

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 2020056 
(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)))