Average Error: 0.0 → 0.0
Time: 6.5s
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 r3733213 = 1.0;
        double r3733214 = x;
        double r3733215 = r3733214 - r3733213;
        double r3733216 = r3733213 / r3733215;
        double r3733217 = r3733214 + r3733213;
        double r3733218 = r3733214 / r3733217;
        double r3733219 = r3733216 + r3733218;
        return r3733219;
}
↓
double f(double x) {
        double r3733220 = 1.0;
        double r3733221 = x;
        double r3733222 = r3733221 - r3733220;
        double r3733223 = r3733220 / r3733222;
        double r3733224 = r3733221 + r3733220;
        double r3733225 = r3733221 / r3733224;
        double r3733226 = r3733223 + r3733225;
        return r3733226;
}

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 2019170 
(FPCore (x)
  :name "Asymptote B"
  (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))