Average Error: 0.0 → 0.0
Time: 5.8s
Precision: 64
\[\frac{x}{1 - x}\]
↓
\[\frac{x}{1 - x}\]
\frac{x}{1 - x}
↓
\frac{x}{1 - x}
double f(double x) {
        double r111965 = x;
        double r111966 = 1.0;
        double r111967 = r111966 - r111965;
        double r111968 = r111965 / r111967;
        return r111968;
}
↓
double f(double x) {
        double r111969 = x;
        double r111970 = 1.0;
        double r111971 = r111970 - r111969;
        double r111972 = r111969 / r111971;
        return r111972;
}

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 2019325 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))