Average Error: 0.0 → 0.0
Time: 10.8s
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 r40015 = x;
        double r40016 = 1.0;
        double r40017 = r40015 + r40016;
        double r40018 = r40016 - r40015;
        double r40019 = r40017 / r40018;
        return r40019;
}
↓
double f(double x) {
        double r40020 = x;
        double r40021 = 1.0;
        double r40022 = r40020 + r40021;
        double r40023 = r40021 - r40020;
        double r40024 = r40022 / r40023;
        return r40024;
}

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

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

Reproduce

herbie shell --seed 2019323 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))