Average Error: 0.0 → 0.0
Time: 1.7s
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 r31571 = x;
        double r31572 = 1.0;
        double r31573 = r31571 + r31572;
        double r31574 = r31572 - r31571;
        double r31575 = r31573 / r31574;
        return r31575;
}
↓
double f(double x) {
        double r31576 = x;
        double r31577 = 1.0;
        double r31578 = r31576 + r31577;
        double r31579 = r31577 - r31576;
        double r31580 = r31578 / r31579;
        return r31580;
}

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 2020083 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))