Average Error: 0.0 → 0.0
Time: 16.0s
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 r41290 = x;
        double r41291 = 1.0;
        double r41292 = r41290 + r41291;
        double r41293 = r41291 - r41290;
        double r41294 = r41292 / r41293;
        return r41294;
}
↓
double f(double x) {
        double r41295 = x;
        double r41296 = 1.0;
        double r41297 = r41295 + r41296;
        double r41298 = r41296 - r41295;
        double r41299 = r41297 / r41298;
        return r41299;
}

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 2019325 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))