Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 7.1s

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 r127542 = x;
        double r127543 = 1.0;
        double r127544 = r127543 - r127542;
        double r127545 = r127542 / r127544;
        return r127545;
}

↓

double f(double x) {
        double r127546 = x;
        double r127547 = 1.0;
        double r127548 = r127547 - r127546;
        double r127549 = r127546 / r127548;
        return r127549;
}

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