Average Error: 0.4 → 0.2
Time: 7.8s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
↓
\[x + \left(y - x\right) \cdot \left(6 \cdot \left(\frac{2}{3} - z\right)\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)
↓
x + \left(y - x\right) \cdot \left(6 \cdot \left(\frac{2}{3} - z\right)\right)
double f(double x, double y, double z) {
        double r1104 = x;
        double r1105 = y;
        double r1106 = r1105 - r1104;
        double r1107 = 6.0;
        double r1108 = r1106 * r1107;
        double r1109 = 2.0;
        double r1110 = 3.0;
        double r1111 = r1109 / r1110;
        double r1112 = z;
        double r1113 = r1111 - r1112;
        double r1114 = r1108 * r1113;
        double r1115 = r1104 + r1114;
        return r1115;
}
↓
double f(double x, double y, double z) {
        double r1116 = x;
        double r1117 = y;
        double r1118 = r1117 - r1116;
        double r1119 = 6.0;
        double r1120 = 2.0;
        double r1121 = 3.0;
        double r1122 = r1120 / r1121;
        double r1123 = z;
        double r1124 = r1122 - r1123;
        double r1125 = r1119 * r1124;
        double r1126 = r1118 * r1125;
        double r1127 = r1116 + r1126;
        return r1127;
}

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. Using strategy rm

  3. Applied associate-*l*0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2020025 
(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))))