Average Error: 0.0 → 0.0
Time: 8.1s
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 r26955 = x;
        double r26956 = 1.0;
        double r26957 = r26955 + r26956;
        double r26958 = r26956 - r26955;
        double r26959 = r26957 / r26958;
        return r26959;
}
↓
double f(double x) {
        double r26960 = x;
        double r26961 = 1.0;
        double r26962 = r26960 + r26961;
        double r26963 = r26961 - r26960;
        double r26964 = r26962 / r26963;
        return r26964;
}

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 2019194 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))