Average Error: 0.0 → 0.0
Time: 13.6s
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 r41314 = x;
        double r41315 = 1.0;
        double r41316 = r41314 + r41315;
        double r41317 = r41315 - r41314;
        double r41318 = r41316 / r41317;
        return r41318;
}
↓
double f(double x) {
        double r41319 = x;
        double r41320 = 1.0;
        double r41321 = r41319 + r41320;
        double r41322 = r41320 - r41319;
        double r41323 = r41321 / r41322;
        return r41323;
}

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)))