Average Error: 0.2 → 0.2
Time: 4.5s
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 r805807 = x;
        double r805808 = y;
        double r805809 = r805808 - r805807;
        double r805810 = 6.0;
        double r805811 = r805809 * r805810;
        double r805812 = z;
        double r805813 = r805811 * r805812;
        double r805814 = r805807 + r805813;
        return r805814;
}
↓
double f(double x, double y, double z) {
        double r805815 = x;
        double r805816 = y;
        double r805817 = r805816 - r805815;
        double r805818 = 6.0;
        double r805819 = r805817 * r805818;
        double r805820 = z;
        double r805821 = r805819 * r805820;
        double r805822 = r805815 + r805821;
        return r805822;
}

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)))