Average Error: 0.4 → 0.2
Time: 3.3s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
↓
\[x + \left(y - x\right) \cdot \left(6 \cdot \frac{2}{3} + 6 \cdot \left(-z\right)\right)\]
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 \frac{2}{3} + 6 \cdot \left(-z\right)\right)
double f(double x, double y, double z) {
        double r288194 = x;
        double r288195 = y;
        double r288196 = r288195 - r288194;
        double r288197 = 6.0;
        double r288198 = r288196 * r288197;
        double r288199 = 2.0;
        double r288200 = 3.0;
        double r288201 = r288199 / r288200;
        double r288202 = z;
        double r288203 = r288201 - r288202;
        double r288204 = r288198 * r288203;
        double r288205 = r288194 + r288204;
        return r288205;
}
↓
double f(double x, double y, double z) {
        double r288206 = x;
        double r288207 = y;
        double r288208 = r288207 - r288206;
        double r288209 = 6.0;
        double r288210 = 2.0;
        double r288211 = 3.0;
        double r288212 = r288210 / r288211;
        double r288213 = r288209 * r288212;
        double r288214 = z;
        double r288215 = -r288214;
        double r288216 = r288209 * r288215;
        double r288217 = r288213 + r288216;
        double r288218 = r288208 * r288217;
        double r288219 = r288206 + r288218;
        return r288219;
}

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. Using strategy rm

  5. Applied sub-neg0.2

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

  6. Applied distribute-lft-in0.2

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

  7. Final simplification0.2

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

Reproduce

herbie shell --seed 2020020 
(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))))