Average Error: 0.3 → 0.3
Time: 3.8s
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 r921387 = x;
        double r921388 = y;
        double r921389 = r921388 - r921387;
        double r921390 = 6.0;
        double r921391 = r921389 * r921390;
        double r921392 = z;
        double r921393 = r921391 * r921392;
        double r921394 = r921387 + r921393;
        return r921394;
}
↓
double f(double x, double y, double z) {
        double r921395 = x;
        double r921396 = y;
        double r921397 = r921396 - r921395;
        double r921398 = 6.0;
        double r921399 = r921397 * r921398;
        double r921400 = z;
        double r921401 = r921399 * r921400;
        double r921402 = r921395 + r921401;
        return r921402;
}

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
Herbie0.3
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2019362 +o rules:numerics
(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)))