Average Error: 0.0 → 0.0
Time: 2.3s
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 r31421 = x;
        double r31422 = 1.0;
        double r31423 = r31421 + r31422;
        double r31424 = r31422 - r31421;
        double r31425 = r31423 / r31424;
        return r31425;
}
↓
double f(double x) {
        double r31426 = x;
        double r31427 = 1.0;
        double r31428 = r31426 + r31427;
        double r31429 = r31427 - r31426;
        double r31430 = r31428 / r31429;
        return r31430;
}

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 2019352 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))