Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 3.2s

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 r126985 = x;
        double r126986 = 1.0;
        double r126987 = r126986 - r126985;
        double r126988 = r126985 / r126987;
        return r126988;
}

↓

double f(double x) {
        double r126989 = x;
        double r126990 = 1.0;
        double r126991 = r126990 - r126989;
        double r126992 = r126989 / r126991;
        return r126992;
}

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)))