Average Error: 0.0 → 0.0
Time: 1.4s
Precision: 64
\[\frac{1}{x - 1} + \frac{x}{x + 1}\]
↓
\[\frac{1}{x - 1} + \frac{x}{x + 1}\]
\frac{1}{x - 1} + \frac{x}{x + 1}
↓
\frac{1}{x - 1} + \frac{x}{x + 1}
double f(double x) {
        double r95264 = 1.0;
        double r95265 = x;
        double r95266 = r95265 - r95264;
        double r95267 = r95264 / r95266;
        double r95268 = r95265 + r95264;
        double r95269 = r95265 / r95268;
        double r95270 = r95267 + r95269;
        return r95270;
}
↓
double f(double x) {
        double r95271 = 1.0;
        double r95272 = x;
        double r95273 = r95272 - r95271;
        double r95274 = r95271 / r95273;
        double r95275 = r95272 + r95271;
        double r95276 = r95272 / r95275;
        double r95277 = r95274 + r95276;
        return r95277;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{1}{x - 1} + \frac{x}{x + 1}\]

  2. Final simplification0.0

    \[\leadsto \frac{1}{x - 1} + \frac{x}{x + 1}\]

Reproduce

herbie shell --seed 2019353 
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))