Average Error: 0.2 → 0.2
Time: 4.2s
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 r953662 = x;
        double r953663 = y;
        double r953664 = r953663 - r953662;
        double r953665 = 6.0;
        double r953666 = r953664 * r953665;
        double r953667 = z;
        double r953668 = r953666 * r953667;
        double r953669 = r953662 + r953668;
        return r953669;
}
↓
double f(double x, double y, double z) {
        double r953670 = x;
        double r953671 = y;
        double r953672 = r953671 - r953670;
        double r953673 = 6.0;
        double r953674 = r953672 * r953673;
        double r953675 = z;
        double r953676 = r953674 * r953675;
        double r953677 = r953670 + r953676;
        return r953677;
}

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 +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)))