Average Error: 0.4 → 0.4
Time: 19.2s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
↓
\[x + \left(0.6666666666666666296592325124947819858789 - z\right) \cdot \left(\left(y - x\right) \cdot 6\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)
↓
x + \left(0.6666666666666666296592325124947819858789 - z\right) \cdot \left(\left(y - x\right) \cdot 6\right)
double f(double x, double y, double z) {
        double r16116095 = x;
        double r16116096 = y;
        double r16116097 = r16116096 - r16116095;
        double r16116098 = 6.0;
        double r16116099 = r16116097 * r16116098;
        double r16116100 = 2.0;
        double r16116101 = 3.0;
        double r16116102 = r16116100 / r16116101;
        double r16116103 = z;
        double r16116104 = r16116102 - r16116103;
        double r16116105 = r16116099 * r16116104;
        double r16116106 = r16116095 + r16116105;
        return r16116106;
}
↓
double f(double x, double y, double z) {
        double r16116107 = x;
        double r16116108 = 0.6666666666666666;
        double r16116109 = z;
        double r16116110 = r16116108 - r16116109;
        double r16116111 = y;
        double r16116112 = r16116111 - r16116107;
        double r16116113 = 6.0;
        double r16116114 = r16116112 * r16116113;
        double r16116115 = r16116110 * r16116114;
        double r16116116 = r16116107 + r16116115;
        return r16116116;
}

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. Taylor expanded around 0 0.4

    \[\leadsto x + \left(\left(y - x\right) \cdot 6\right) \cdot \color{blue}{\left(0.6666666666666666296592325124947819858789 - z\right)}\]

  3. Final simplification0.4

    \[\leadsto x + \left(0.6666666666666666296592325124947819858789 - z\right) \cdot \left(\left(y - x\right) \cdot 6\right)\]

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, D"
  (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))