Average Error: 0.0 → 0.0
Time: 848.0ms
Precision: 64
\[\frac{x}{1 - x}\]
↓
\[\frac{x}{1 - x}\]
\frac{x}{1 - x}
↓
\frac{x}{1 - x}
double f(double x) {
        double r169946 = x;
        double r169947 = 1.0;
        double r169948 = r169947 - r169946;
        double r169949 = r169946 / r169948;
        return r169949;
}
↓
double f(double x) {
        double r169950 = x;
        double r169951 = 1.0;
        double r169952 = r169951 - r169950;
        double r169953 = r169950 / r169952;
        return r169953;
}

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 2020062 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))