Average Error: 0.0 → 0.0
Time: 11.6s
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 r20234 = x;
        double r20235 = 1.0;
        double r20236 = r20234 + r20235;
        double r20237 = r20235 - r20234;
        double r20238 = r20236 / r20237;
        return r20238;
}
↓
double f(double x) {
        double r20239 = x;
        double r20240 = 1.0;
        double r20241 = r20239 + r20240;
        double r20242 = r20240 - r20239;
        double r20243 = r20241 / r20242;
        return r20243;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019306 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))