Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 2.8s

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 r130752 = x;
        double r130753 = 1.0;
        double r130754 = r130753 - r130752;
        double r130755 = r130752 / r130754;
        return r130755;
}

↓

double f(double x) {
        double r130756 = x;
        double r130757 = 1.0;
        double r130758 = r130757 - r130756;
        double r130759 = r130756 / r130758;
        return r130759;
}

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