Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 4.7s

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 r126554 = x;
        double r126555 = 1.0;
        double r126556 = r126555 - r126554;
        double r126557 = r126554 / r126556;
        return r126557;
}

↓

double f(double x) {
        double r126558 = x;
        double r126559 = 1.0;
        double r126560 = r126559 - r126558;
        double r126561 = r126558 / r126560;
        return r126561;
}

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