Average Error: 14.5 → 0.1
Time: 52.1s
Precision: 64
\[\frac{1}{x + 1} - \frac{1}{x - 1}\]
↓
\[\frac{\frac{-2}{x + 1}}{x - 1}\]
\frac{1}{x + 1} - \frac{1}{x - 1}
↓
\frac{\frac{-2}{x + 1}}{x - 1}
double f(double x) {
        double r19254946 = 1.0;
        double r19254947 = x;
        double r19254948 = r19254947 + r19254946;
        double r19254949 = r19254946 / r19254948;
        double r19254950 = r19254947 - r19254946;
        double r19254951 = r19254946 / r19254950;
        double r19254952 = r19254949 - r19254951;
        return r19254952;
}
↓
double f(double x) {
        double r19254953 = -2.0;
        double r19254954 = x;
        double r19254955 = 1.0;
        double r19254956 = r19254954 + r19254955;
        double r19254957 = r19254953 / r19254956;
        double r19254958 = r19254954 - r19254955;
        double r19254959 = r19254957 / r19254958;
        return r19254959;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.5

    \[\frac{1}{x + 1} - \frac{1}{x - 1}\]
  2. Using strategy rm

  3. Applied frac-sub13.9

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

  4. Simplified0.4

    \[\leadsto \frac{\color{blue}{-2}}{\left(x + 1\right) \cdot \left(x - 1\right)}\]
  5. Using strategy rm

  6. Applied associate-/r*0.1

    \[\leadsto \color{blue}{\frac{\frac{-2}{x + 1}}{x - 1}}\]

  7. Final simplification0.1

    \[\leadsto \frac{\frac{-2}{x + 1}}{x - 1}\]

Reproduce

herbie shell --seed 2019107 
(FPCore (x)
  :name "Asymptote A"
  (- (/ 1 (+ x 1)) (/ 1 (- x 1))))