Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 4.6s

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 r116614 = x;
        double r116615 = 1.0;
        double r116616 = r116615 - r116614;
        double r116617 = r116614 / r116616;
        return r116617;
}

↓

double f(double x) {
        double r116618 = x;
        double r116619 = 1.0;
        double r116620 = r116619 - r116618;
        double r116621 = r116618 / r116620;
        return r116621;
}

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 2019351 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))