Average Error: 0.0 → 0.0
Time: 6.5s
Precision: 64
\[\frac{x + 1}{1 - x}\]
↓
\[\frac{x + 1}{1 - x}\]
\frac{x + 1}{1 - x}
↓
\frac{x + 1}{1 - x}
double f(double x) {
        double r17957 = x;
        double r17958 = 1.0;
        double r17959 = r17957 + r17958;
        double r17960 = r17958 - r17957;
        double r17961 = r17959 / r17960;
        return r17961;
}
↓
double f(double x) {
        double r17962 = x;
        double r17963 = 1.0;
        double r17964 = r17962 + r17963;
        double r17965 = r17963 - r17962;
        double r17966 = r17964 / r17965;
        return r17966;
}

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

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019196 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))