Average Error: 0.0 → 0.0
Time: 1.6s
Precision: 64
\[\frac{x}{1 - x}\]
↓
\[\frac{x}{1 - x}\]
\frac{x}{1 - x}
↓
\frac{x}{1 - x}
double f(double x) {
        double r120334 = x;
        double r120335 = 1.0;
        double r120336 = r120335 - r120334;
        double r120337 = r120334 / r120336;
        return r120337;
}
↓
double f(double x) {
        double r120338 = x;
        double r120339 = 1.0;
        double r120340 = r120339 - r120338;
        double r120341 = r120338 / r120340;
        return r120341;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019347 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))