Average Error: 0.0 → 0.0
Time: 1.4s
Precision: 64
\[\frac{x}{1 - x}\]
↓
\[\frac{x}{1 - x}\]
\frac{x}{1 - x}
↓
\frac{x}{1 - x}
double f(double x) {
        double r98540 = x;
        double r98541 = 1.0;
        double r98542 = r98541 - r98540;
        double r98543 = r98540 / r98542;
        return r98543;
}
↓
double f(double x) {
        double r98544 = x;
        double r98545 = 1.0;
        double r98546 = r98545 - r98544;
        double r98547 = r98544 / r98546;
        return r98547;
}

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 2020060 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))