Average Error: 0.0 → 0.0
Time: 7.6s
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 r13369 = x;
        double r13370 = y;
        double r13371 = r13369 + r13370;
        double r13372 = 10.0;
        double r13373 = r13371 / r13372;
        return r13373;
}
↓
double f(double x, double y) {
        double r13374 = x;
        double r13375 = 10.0;
        double r13376 = r13374 / r13375;
        double r13377 = y;
        double r13378 = r13377 / r13375;
        double r13379 = r13376 + r13378;
        return r13379;
}

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 add-sqr-sqrt1.1

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

  4. Applied *-un-lft-identity1.1

    \[\leadsto \frac{\color{blue}{1 \cdot \left(x + y\right)}}{\sqrt{10} \cdot \sqrt{10}}\]

  5. Applied times-frac0.3

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

  6. Simplified0.3

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

  7. Taylor expanded around 0 1.1

    \[\leadsto \color{blue}{\frac{x}{{\left(\sqrt{10}\right)}^{2}} + \frac{y}{{\left(\sqrt{10}\right)}^{2}}}\]

  8. Simplified0.0

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

  9. Final simplification0.0

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

Reproduce

herbie shell --seed 2019194 
(FPCore (x y)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, A"
  (/ (+ x y) 10.0))