Average Error: 0.3 → 0.3
Time: 4.1s
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 r949727 = x;
        double r949728 = y;
        double r949729 = r949728 - r949727;
        double r949730 = 6.0;
        double r949731 = r949729 * r949730;
        double r949732 = z;
        double r949733 = r949731 * r949732;
        double r949734 = r949727 + r949733;
        return r949734;
}
↓
double f(double x, double y, double z) {
        double r949735 = x;
        double r949736 = y;
        double r949737 = r949736 - r949735;
        double r949738 = 6.0;
        double r949739 = r949737 * r949738;
        double r949740 = z;
        double r949741 = r949739 * r949740;
        double r949742 = r949735 + r949741;
        return r949742;
}

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 2020020 +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)))