Average Error: 0.0 → 0.0
Time: 4.5s
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 r32853 = x;
        double r32854 = 1.0;
        double r32855 = r32853 + r32854;
        double r32856 = r32854 - r32853;
        double r32857 = r32855 / r32856;
        return r32857;
}
↓
double f(double x) {
        double r32858 = x;
        double r32859 = 1.0;
        double r32860 = r32858 + r32859;
        double r32861 = r32859 - r32858;
        double r32862 = r32860 / r32861;
        return r32862;
}

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

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019196 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))