Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 4.4s

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 r129405 = x;
        double r129406 = 1.0;
        double r129407 = r129406 - r129405;
        double r129408 = r129405 / r129407;
        return r129408;
}

↓

double f(double x) {
        double r129409 = x;
        double r129410 = 1.0;
        double r129411 = r129410 - r129409;
        double r129412 = r129409 / r129411;
        return r129412;
}

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