Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[\frac{x}{1 - x}\]
↓
\[\frac{x}{1 - x}\]
\frac{x}{1 - x}
↓
\frac{x}{1 - x}
double f(double x) {
        double r87028 = x;
        double r87029 = 1.0;
        double r87030 = r87029 - r87028;
        double r87031 = r87028 / r87030;
        return r87031;
}
↓
double f(double x) {
        double r87032 = x;
        double r87033 = 1.0;
        double r87034 = r87033 - r87032;
        double r87035 = r87032 / r87034;
        return r87035;
}

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 2020036 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))