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 r112039 = x;
        double r112040 = 1.0;
        double r112041 = r112040 - r112039;
        double r112042 = r112039 / r112041;
        return r112042;
}
↓
double f(double x) {
        double r112043 = x;
        double r112044 = 1.0;
        double r112045 = r112044 - r112043;
        double r112046 = r112043 / r112045;
        return r112046;
}

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 2020065 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))