Average Error: 0.0 → 0.0
Time: 22.1s
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 r78012 = 1.0;
        double r78013 = x;
        double r78014 = r78013 - r78012;
        double r78015 = r78012 / r78014;
        double r78016 = r78013 + r78012;
        double r78017 = r78013 / r78016;
        double r78018 = r78015 + r78017;
        return r78018;
}
↓
double f(double x) {
        double r78019 = 1.0;
        double r78020 = x;
        double r78021 = r78020 - r78019;
        double r78022 = r78019 / r78021;
        double r78023 = r78020 + r78019;
        double r78024 = r78020 / r78023;
        double r78025 = r78022 + r78024;
        return r78025;
}

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 2019303 +o rules:numerics
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))