Average Error: 0.0 → 0.0
Time: 15.2s
Precision: 64
\[\frac{x + y}{10}\]
↓
\[\frac{x}{10} + \frac{y}{10}\]
\frac{x + y}{10}
↓
\frac{x}{10} + \frac{y}{10}
double f(double x, double y) {
        double r11781 = x;
        double r11782 = y;
        double r11783 = r11781 + r11782;
        double r11784 = 10.0;
        double r11785 = r11783 / r11784;
        return r11785;
}
↓
double f(double x, double y) {
        double r11786 = x;
        double r11787 = 10.0;
        double r11788 = r11786 / r11787;
        double r11789 = y;
        double r11790 = r11789 / r11787;
        double r11791 = r11788 + r11790;
        return r11791;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x + y}{10}\]
  2. Using strategy rm

  3. Applied clear-num0.3

    \[\leadsto \color{blue}{\frac{1}{\frac{10}{x + y}}}\]
  4. Using strategy rm

  5. Applied associate-/r/0.4

    \[\leadsto \color{blue}{\frac{1}{10} \cdot \left(x + y\right)}\]
  6. Using strategy rm

  7. Applied distribute-lft-in0.4

    \[\leadsto \color{blue}{\frac{1}{10} \cdot x + \frac{1}{10} \cdot y}\]

  8. Simplified0.2

    \[\leadsto \color{blue}{\frac{x}{10}} + \frac{1}{10} \cdot y\]

  9. Simplified0.0

    \[\leadsto \frac{x}{10} + \color{blue}{\frac{y}{10}}\]

  10. Final simplification0.0

    \[\leadsto \frac{x}{10} + \frac{y}{10}\]

Reproduce

herbie shell --seed 2019323 +o rules:numerics
(FPCore (x y)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, A"
  :precision binary64
  (/ (+ x y) 10))