Average Error: 0.0 → 0.0
Time: 583.0ms
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 r24574 = x;
        double r24575 = 1.0;
        double r24576 = r24574 + r24575;
        double r24577 = r24575 - r24574;
        double r24578 = r24576 / r24577;
        return r24578;
}
↓
double f(double x) {
        double r24579 = x;
        double r24580 = 1.0;
        double r24581 = r24579 + r24580;
        double r24582 = r24580 - r24579;
        double r24583 = r24581 / r24582;
        return r24583;
}

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 2020047 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))