Average Error: 0.0 → 0.0
Time: 7.8s
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 r26947 = x;
        double r26948 = 1.0;
        double r26949 = r26947 + r26948;
        double r26950 = r26948 - r26947;
        double r26951 = r26949 / r26950;
        return r26951;
}
↓
double f(double x) {
        double r26952 = x;
        double r26953 = 1.0;
        double r26954 = r26952 + r26953;
        double r26955 = r26953 - r26952;
        double r26956 = r26954 / r26955;
        return r26956;
}

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)))