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 r140721 = x;
        double r140722 = 1.0;
        double r140723 = r140722 - r140721;
        double r140724 = r140721 / r140723;
        return r140724;
}
↓
double f(double x) {
        double r140725 = x;
        double r140726 = 1.0;
        double r140727 = r140726 - r140725;
        double r140728 = r140725 / r140727;
        return r140728;
}

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 2020035 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))