Average Error: 0.0 → 0.0
Time: 1.8s
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 r30021 = x;
        double r30022 = 1.0;
        double r30023 = r30021 + r30022;
        double r30024 = r30022 - r30021;
        double r30025 = r30023 / r30024;
        return r30025;
}
↓
double f(double x) {
        double r30026 = x;
        double r30027 = 1.0;
        double r30028 = r30026 + r30027;
        double r30029 = r30027 - r30026;
        double r30030 = r30028 / r30029;
        return r30030;
}

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