Average Error: 0.0 → 0.0
Time: 1.7s
Precision: 64
\[\frac{x}{1 - x}\]
↓
\[\frac{x}{1 - x}\]
\frac{x}{1 - x}
↓
\frac{x}{1 - x}
double f(double x) {
        double r112341 = x;
        double r112342 = 1.0;
        double r112343 = r112342 - r112341;
        double r112344 = r112341 / r112343;
        return r112344;
}
↓
double f(double x) {
        double r112345 = x;
        double r112346 = 1.0;
        double r112347 = r112346 - r112345;
        double r112348 = r112345 / r112347;
        return r112348;
}

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 2020024 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))