Average Error: 14.4 → 0.1
Time: 53.0s
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 r20933039 = 1.0;
        double r20933040 = x;
        double r20933041 = r20933040 + r20933039;
        double r20933042 = r20933039 / r20933041;
        double r20933043 = r20933040 - r20933039;
        double r20933044 = r20933039 / r20933043;
        double r20933045 = r20933042 - r20933044;
        return r20933045;
}
↓
double f(double x) {
        double r20933046 = -2.0;
        double r20933047 = x;
        double r20933048 = 1.0;
        double r20933049 = r20933047 + r20933048;
        double r20933050 = r20933046 / r20933049;
        double r20933051 = r20933047 - r20933048;
        double r20933052 = r20933050 / r20933051;
        return r20933052;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.4

    \[\frac{1}{x + 1} - \frac{1}{x - 1}\]
  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 2019121 
(FPCore (x)
  :name "Asymptote A"
  (- (/ 1 (+ x 1)) (/ 1 (- x 1))))