Average Error: 0.0 → 0.0
Time: 6.2s
Precision: 64
\[\frac{x + 1.0}{1.0 - x}\]
↓
\[\frac{1.0 + x}{1.0 - x}\]
\frac{x + 1.0}{1.0 - x}
↓
\frac{1.0 + x}{1.0 - x}
double f(double x) {
        double r1211049 = x;
        double r1211050 = 1.0;
        double r1211051 = r1211049 + r1211050;
        double r1211052 = r1211050 - r1211049;
        double r1211053 = r1211051 / r1211052;
        return r1211053;
}
↓
double f(double x) {
        double r1211054 = 1.0;
        double r1211055 = x;
        double r1211056 = r1211054 + r1211055;
        double r1211057 = r1211054 - r1211055;
        double r1211058 = r1211056 / r1211057;
        return r1211058;
}

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

    \[\frac{x + 1.0}{1.0 - x}\]

  2. Final simplification0.0

    \[\leadsto \frac{1.0 + x}{1.0 - x}\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))