Average Error: 0.0 → 0.0
Time: 8.7s
Precision: 64
\[\frac{1}{x - 1} + \frac{x}{x + 1}\]
↓
\[\log \left(e^{\frac{1}{x - 1}}\right) + \frac{x}{x + 1}\]
\frac{1}{x - 1} + \frac{x}{x + 1}
↓
\log \left(e^{\frac{1}{x - 1}}\right) + \frac{x}{x + 1}
double f(double x) {
        double r2157940 = 1.0;
        double r2157941 = x;
        double r2157942 = r2157941 - r2157940;
        double r2157943 = r2157940 / r2157942;
        double r2157944 = r2157941 + r2157940;
        double r2157945 = r2157941 / r2157944;
        double r2157946 = r2157943 + r2157945;
        return r2157946;
}
↓
double f(double x) {
        double r2157947 = 1.0;
        double r2157948 = x;
        double r2157949 = r2157948 - r2157947;
        double r2157950 = r2157947 / r2157949;
        double r2157951 = exp(r2157950);
        double r2157952 = log(r2157951);
        double r2157953 = r2157948 + r2157947;
        double r2157954 = r2157948 / r2157953;
        double r2157955 = r2157952 + r2157954;
        return r2157955;
}

Error

Bits error versus x

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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. Using strategy rm

  3. Applied add-log-exp0.0

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

  4. Final simplification0.0

    \[\leadsto \log \left(e^{\frac{1}{x - 1}}\right) + \frac{x}{x + 1}\]

Reproduce

herbie shell --seed 2019153 
(FPCore (x)
  :name "Asymptote B"
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))