Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 4.8s

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 r139269 = x;
        double r139270 = 1.0;
        double r139271 = r139270 - r139269;
        double r139272 = r139269 / r139271;
        return r139272;
}

↓

double f(double x) {
        double r139273 = x;
        double r139274 = 1.0;
        double r139275 = r139274 - r139273;
        double r139276 = r139273 / r139275;
        return r139276;
}

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 2020045 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))