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 r25023 = x;
        double r25024 = 1.0;
        double r25025 = r25023 + r25024;
        double r25026 = r25024 - r25023;
        double r25027 = r25025 / r25026;
        return r25027;
}
↓
double f(double x) {
        double r25028 = x;
        double r25029 = 1.0;
        double r25030 = r25028 + r25029;
        double r25031 = r25029 - r25028;
        double r25032 = r25030 / r25031;
        return r25032;
}

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 2020036 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))