Average Error: 0.2 → 0.2
Time: 3.6s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
double f(double x, double y, double z) {
        double r853349 = x;
        double r853350 = y;
        double r853351 = r853350 - r853349;
        double r853352 = 6.0;
        double r853353 = r853351 * r853352;
        double r853354 = z;
        double r853355 = r853353 * r853354;
        double r853356 = r853349 + r853355;
        return r853356;
}
↓
double f(double x, double y, double z) {
        double r853357 = x;
        double r853358 = y;
        double r853359 = r853358 - r853357;
        double r853360 = 6.0;
        double r853361 = r853359 * r853360;
        double r853362 = z;
        double r853363 = r853361 * r853362;
        double r853364 = r853357 + r853363;
        return r853364;
}

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

Original0.2
Target0.2
Herbie0.2
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.2

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]

  2. Final simplification0.2

    \[\leadsto x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]

Reproduce

herbie shell --seed 2020003 
(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)))