Average Error: 0.0 → 0.0
Time: 3.8s
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 r136235 = 1.0;
        double r136236 = x;
        double r136237 = r136236 - r136235;
        double r136238 = r136235 / r136237;
        double r136239 = r136236 + r136235;
        double r136240 = r136236 / r136239;
        double r136241 = r136238 + r136240;
        return r136241;
}
↓
double f(double x) {
        double r136242 = 1.0;
        double r136243 = x;
        double r136244 = r136243 - r136242;
        double r136245 = r136242 / r136244;
        double r136246 = r136243 + r136242;
        double r136247 = r136243 / r136246;
        double r136248 = r136245 + r136247;
        return r136248;
}

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 2019322 
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))