Average Error: 0.0 → 0.0
Time: 5.9s
Precision: 64
\[\frac{x + 1.0}{1.0 - x}\]
↓
\[\frac{1.0 + x}{1.0 - x}\]
\frac{x + 1.0}{1.0 - x}
↓
\frac{1.0 + x}{1.0 - x}
double f(double x) {
        double r1165609 = x;
        double r1165610 = 1.0;
        double r1165611 = r1165609 + r1165610;
        double r1165612 = r1165610 - r1165609;
        double r1165613 = r1165611 / r1165612;
        return r1165613;
}
↓
double f(double x) {
        double r1165614 = 1.0;
        double r1165615 = x;
        double r1165616 = r1165614 + r1165615;
        double r1165617 = r1165614 - r1165615;
        double r1165618 = r1165616 / r1165617;
        return r1165618;
}

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

    \[\frac{x + 1.0}{1.0 - x}\]

  2. Final simplification0.0

    \[\leadsto \frac{1.0 + x}{1.0 - x}\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))