Average Error: 0.0 → 0.0
Time: 2.8s
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 r31130 = x;
        double r31131 = 1.0;
        double r31132 = r31130 + r31131;
        double r31133 = r31131 - r31130;
        double r31134 = r31132 / r31133;
        return r31134;
}
↓
double f(double x) {
        double r31135 = x;
        double r31136 = 1.0;
        double r31137 = r31135 + r31136;
        double r31138 = r31136 - r31135;
        double r31139 = r31137 / r31138;
        return r31139;
}

Error

Bits error versus x

Try it out

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 2019351 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))