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

Average Error: 0.2 → 0.2

Time: 11.9s

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 r78381 = x;
        double r78382 = r78381 * r78381;
        double r78383 = 3.0;
        double r78384 = r78382 - r78383;
        double r78385 = 6.0;
        double r78386 = r78384 / r78385;
        return r78386;
}

↓

double f(double x) {
        double r78387 = x;
        double r78388 = r78387 * r78387;
        double r78389 = 3.0;
        double r78390 = r78388 - r78389;
        double r78391 = 6.0;
        double r78392 = r78390 / r78391;
        return r78392;
}

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 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))