Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 4.9s

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 r127403 = x;
        double r127404 = 1.0;
        double r127405 = r127404 - r127403;
        double r127406 = r127403 / r127405;
        return r127406;
}

↓

double f(double x) {
        double r127407 = x;
        double r127408 = 1.0;
        double r127409 = r127408 - r127407;
        double r127410 = r127407 / r127409;
        return r127410;
}

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)))