Average Error: 0.0 → 0.0
Time: 13.1s
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 r40005 = x;
        double r40006 = 1.0;
        double r40007 = r40005 + r40006;
        double r40008 = r40006 - r40005;
        double r40009 = r40007 / r40008;
        return r40009;
}
↓
double f(double x) {
        double r40010 = x;
        double r40011 = 1.0;
        double r40012 = r40010 + r40011;
        double r40013 = r40011 - r40010;
        double r40014 = r40012 / r40013;
        return r40014;
}

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 2019323 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))