Average Error: 0.0 → 0.0
Time: 7.8s
Precision: 64
\[\frac{x + 1}{1 - x}\]
↓
\[\frac{1 + x}{1 - x}\]
\frac{x + 1}{1 - x}
↓
\frac{1 + x}{1 - x}
double f(double x) {
        double r1848426 = x;
        double r1848427 = 1.0;
        double r1848428 = r1848426 + r1848427;
        double r1848429 = r1848427 - r1848426;
        double r1848430 = r1848428 / r1848429;
        return r1848430;
}
↓
double f(double x) {
        double r1848431 = 1.0;
        double r1848432 = x;
        double r1848433 = r1848431 + r1848432;
        double r1848434 = r1848431 - r1848432;
        double r1848435 = r1848433 / r1848434;
        return r1848435;
}

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

    \[\leadsto \frac{1 + x}{1 - x}\]

Reproduce

herbie shell --seed 2019170 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))