Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 6.3s

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 r153188 = x;
        double r153189 = 1.0;
        double r153190 = r153189 - r153188;
        double r153191 = r153188 / r153190;
        return r153191;
}

↓

double f(double x) {
        double r153192 = x;
        double r153193 = 1.0;
        double r153194 = r153193 - r153192;
        double r153195 = r153192 / r153194;
        return r153195;
}

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 2019350 
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))