Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Average Error: 0.0 → 0.0

Time: 6.3s

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 r91305 = x;
        double r91306 = 1.0;
        double r91307 = r91306 - r91305;
        double r91308 = r91305 / r91307;
        return r91308;
}

↓

double f(double x) {
        double r91309 = x;
        double r91310 = 1.0;
        double r91311 = r91310 - r91309;
        double r91312 = r91309 / r91311;
        return r91312;
}

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 2020047 +o rules:numerics
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))