Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 5.5s

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 r107675 = x;
        double r107676 = 1.0;
        double r107677 = r107676 - r107675;
        double r107678 = r107675 / r107677;
        return r107678;
}

↓

double f(double x) {
        double r107679 = x;
        double r107680 = 1.0;
        double r107681 = r107680 - r107679;
        double r107682 = r107679 / r107681;
        return r107682;
}

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)))