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 r35643 = x;
        double r35644 = 1.0;
        double r35645 = r35643 + r35644;
        double r35646 = r35644 - r35643;
        double r35647 = r35645 / r35646;
        return r35647;
}
↓
double f(double x) {
        double r35648 = x;
        double r35649 = 1.0;
        double r35650 = r35648 + r35649;
        double r35651 = r35649 - r35648;
        double r35652 = r35650 / r35651;
        return r35652;
}

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 2020047 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))