Average Error: 0.0 → 0.0
Time: 7.4s
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 r1104949 = x;
        double r1104950 = 1.0;
        double r1104951 = r1104949 + r1104950;
        double r1104952 = r1104950 - r1104949;
        double r1104953 = r1104951 / r1104952;
        return r1104953;
}
↓
double f(double x) {
        double r1104954 = 1.0;
        double r1104955 = x;
        double r1104956 = r1104954 + r1104955;
        double r1104957 = r1104954 - r1104955;
        double r1104958 = r1104956 / r1104957;
        return r1104958;
}

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

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

Reproduce

herbie shell --seed 2019171 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))