Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 5.8s

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 r135291 = x;
        double r135292 = 1.0;
        double r135293 = r135292 - r135291;
        double r135294 = r135291 / r135293;
        return r135294;
}

↓

double f(double x) {
        double r135295 = x;
        double r135296 = 1.0;
        double r135297 = r135296 - r135295;
        double r135298 = r135295 / r135297;
        return r135298;
}

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 2020047 
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))