Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 4.1s

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 r148114 = x;
        double r148115 = 1.0;
        double r148116 = r148115 - r148114;
        double r148117 = r148114 / r148116;
        return r148117;
}

↓

double f(double x) {
        double r148118 = x;
        double r148119 = 1.0;
        double r148120 = r148119 - r148118;
        double r148121 = r148118 / r148120;
        return r148121;
}

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 2020046 
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))