Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

Average Error: 0.2 → 0.2

Time: 8.5s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[\frac{x \cdot x - 3}{6}\]

↓

\[\frac{x \cdot x - 3}{6}\]

C

double f(double x) {
        double r98389 = x;
        double r98390 = r98389 * r98389;
        double r98391 = 3.0;
        double r98392 = r98390 - r98391;
        double r98393 = 6.0;
        double r98394 = r98392 / r98393;
        return r98394;
}

↓

double f(double x) {
        double r98395 = x;
        double r98396 = r98395 * r98395;
        double r98397 = 3.0;
        double r98398 = r98396 - r98397;
        double r98399 = 6.0;
        double r98400 = r98398 / r98399;
        return r98400;
}

Error

Bits error versus x

Derivation

1. Initial program 0.2

   \[\frac{x \cdot x - 3}{6}\]

2. Final simplification 0.2

   \[\leadsto \frac{x \cdot x - 3}{6}\]

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))