Average Error: 0.0 → 0.0
Time: 30.5s
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 r2351171 = x;
        double r2351172 = 1.0;
        double r2351173 = r2351171 + r2351172;
        double r2351174 = r2351172 - r2351171;
        double r2351175 = r2351173 / r2351174;
        return r2351175;
}
↓
double f(double x) {
        double r2351176 = x;
        double r2351177 = 1.0;
        double r2351178 = r2351176 + r2351177;
        double r2351179 = r2351177 - r2351176;
        double r2351180 = r2351178 / r2351179;
        return r2351180;
}

Error

Bits error versus x

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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 2019200 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))