Average Error: 0.2 → 0.2
Time: 3.9s
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 r928327 = x;
        double r928328 = y;
        double r928329 = r928328 - r928327;
        double r928330 = 6.0;
        double r928331 = r928329 * r928330;
        double r928332 = z;
        double r928333 = r928331 * r928332;
        double r928334 = r928327 + r928333;
        return r928334;
}
↓
double f(double x, double y, double z) {
        double r928335 = x;
        double r928336 = y;
        double r928337 = r928336 - r928335;
        double r928338 = 6.0;
        double r928339 = r928337 * r928338;
        double r928340 = z;
        double r928341 = r928339 * r928340;
        double r928342 = r928335 + r928341;
        return r928342;
}

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 2019353 
(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)))