Average Error: 0.0 → 0.0
Time: 5.1s
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 r1573033 = x;
        double r1573034 = 1.0;
        double r1573035 = r1573033 + r1573034;
        double r1573036 = r1573034 - r1573033;
        double r1573037 = r1573035 / r1573036;
        return r1573037;
}
↓
double f(double x) {
        double r1573038 = 1.0;
        double r1573039 = x;
        double r1573040 = r1573038 + r1573039;
        double r1573041 = r1573038 - r1573039;
        double r1573042 = r1573040 / r1573041;
        return r1573042;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))