Average Error: 0.0 → 0.0
Time: 2.3s
Precision: 64
\[x - \frac{y}{1 + \frac{x \cdot y}{2}}\]
↓
\[x - \frac{y}{1 + \frac{x \cdot y}{2}}\]
x - \frac{y}{1 + \frac{x \cdot y}{2}}
↓
x - \frac{y}{1 + \frac{x \cdot y}{2}}
double f(double x, double y) {
        double r256274 = x;
        double r256275 = y;
        double r256276 = 1.0;
        double r256277 = r256274 * r256275;
        double r256278 = 2.0;
        double r256279 = r256277 / r256278;
        double r256280 = r256276 + r256279;
        double r256281 = r256275 / r256280;
        double r256282 = r256274 - r256281;
        return r256282;
}
↓
double f(double x, double y) {
        double r256283 = x;
        double r256284 = y;
        double r256285 = 1.0;
        double r256286 = r256283 * r256284;
        double r256287 = 2.0;
        double r256288 = r256286 / r256287;
        double r256289 = r256285 + r256288;
        double r256290 = r256284 / r256289;
        double r256291 = r256283 - r256290;
        return r256291;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x - \frac{y}{1 + \frac{x \cdot y}{2}}\]

  2. Final simplification0.0

    \[\leadsto x - \frac{y}{1 + \frac{x \cdot y}{2}}\]

Reproduce

herbie shell --seed 2020020 
(FPCore (x y)
  :name "Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B"
  :precision binary64
  (- x (/ y (+ 1 (/ (* x y) 2)))))