Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 6.6s

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 r129751 = x;
        double r129752 = 1.0;
        double r129753 = r129752 - r129751;
        double r129754 = r129751 / r129753;
        return r129754;
}

↓

double f(double x) {
        double r129755 = x;
        double r129756 = 1.0;
        double r129757 = r129756 - r129755;
        double r129758 = r129755 / r129757;
        return r129758;
}

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)))