Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 7.3s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[\frac{x}{1 - x}\]

↓

\[\frac{x}{1 - x}\]

C

double f(double x) {
        double r125759 = x;
        double r125760 = 1.0;
        double r125761 = r125760 - r125759;
        double r125762 = r125759 / r125761;
        return r125762;
}

↓

double f(double x) {
        double r125763 = x;
        double r125764 = 1.0;
        double r125765 = r125764 - r125763;
        double r125766 = r125763 / r125765;
        return r125766;
}

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[\frac{x}{1 - x}\]

2. Final simplification 0.0

   \[\leadsto \frac{x}{1 - x}\]

Reproduce

herbie shell --seed 2020042 
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))