Average Error: 0.0 → 0.0
Time: 13.2s
Precision: 64
\[\frac{x + y}{10}\]
↓
\[\frac{y}{10} + \frac{x}{10}\]
\frac{x + y}{10}
↓
\frac{y}{10} + \frac{x}{10}
double f(double x, double y) {
        double r866108 = x;
        double r866109 = y;
        double r866110 = r866108 + r866109;
        double r866111 = 10.0;
        double r866112 = r866110 / r866111;
        return r866112;
}
↓
double f(double x, double y) {
        double r866113 = y;
        double r866114 = 10.0;
        double r866115 = r866113 / r866114;
        double r866116 = x;
        double r866117 = r866116 / r866114;
        double r866118 = r866115 + r866117;
        return r866118;
}

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 *-un-lft-identity0.3

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

  6. Applied add-sqr-sqrt1.0

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

  7. Applied times-frac0.7

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

  8. Applied associate-/r*0.3

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

  9. Simplified0.3

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

  10. Taylor expanded around 0 1.1

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

  11. Simplified0.0

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

  12. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, A"
  (/ (+ x y) 10.0))