Average Error: 0.0 → 0.0
Time: 7.3s
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 r1188133 = x;
        double r1188134 = 1.0;
        double r1188135 = r1188133 + r1188134;
        double r1188136 = r1188134 - r1188133;
        double r1188137 = r1188135 / r1188136;
        return r1188137;
}
↓
double f(double x) {
        double r1188138 = 1.0;
        double r1188139 = x;
        double r1188140 = r1188138 + r1188139;
        double r1188141 = r1188138 - r1188139;
        double r1188142 = r1188140 / r1188141;
        return r1188142;
}

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)))