Average Error: 0.0 → 0.0
Time: 551.0ms
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 r38401 = x;
        double r38402 = 1.0;
        double r38403 = r38401 + r38402;
        double r38404 = r38402 - r38401;
        double r38405 = r38403 / r38404;
        return r38405;
}
↓
double f(double x) {
        double r38406 = x;
        double r38407 = 1.0;
        double r38408 = r38406 + r38407;
        double r38409 = r38407 - r38406;
        double r38410 = r38408 / r38409;
        return r38410;
}

Error

Bits error versus x

Try it out

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 2020065 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))