Average Error: 0.4 → 0.4
Time: 7.5s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
↓
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)
↓
x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)
double f(double x, double y, double z) {
        double r290989 = x;
        double r290990 = y;
        double r290991 = r290990 - r290989;
        double r290992 = 6.0;
        double r290993 = r290991 * r290992;
        double r290994 = 2.0;
        double r290995 = 3.0;
        double r290996 = r290994 / r290995;
        double r290997 = z;
        double r290998 = r290996 - r290997;
        double r290999 = r290993 * r290998;
        double r291000 = r290989 + r290999;
        return r291000;
}
↓
double f(double x, double y, double z) {
        double r291001 = x;
        double r291002 = y;
        double r291003 = r291002 - r291001;
        double r291004 = 6.0;
        double r291005 = r291003 * r291004;
        double r291006 = 2.0;
        double r291007 = 3.0;
        double r291008 = r291006 / r291007;
        double r291009 = z;
        double r291010 = r291008 - r291009;
        double r291011 = r291005 * r291010;
        double r291012 = r291001 + r291011;
        return r291012;
}

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

Derivation

  1. Initial program 0.4

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]

  2. Final simplification0.4

    \[\leadsto x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]

Reproduce

herbie shell --seed 2019353 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, D"
  :precision binary64
  (+ x (* (* (- y x) 6) (- (/ 2 3) z))))