Average Error: 0.0 → 0.0
Time: 10.6s
Precision: 64
\[\frac{x}{1 - x}\]
↓
\[\frac{x}{1 - x}\]
\frac{x}{1 - x}
↓
\frac{x}{1 - x}
double f(double x) {
        double r111156 = x;
        double r111157 = 1.0;
        double r111158 = r111157 - r111156;
        double r111159 = r111156 / r111158;
        return r111159;
}
↓
double f(double x) {
        double r111160 = x;
        double r111161 = 1.0;
        double r111162 = r111161 - r111160;
        double r111163 = r111160 / r111162;
        return r111163;
}

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 2019323 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))