Average Error: 0.0 → 0.0
Time: 1.4s
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 r195125 = x;
        double r195126 = y;
        double r195127 = 1.0;
        double r195128 = r195125 * r195126;
        double r195129 = 2.0;
        double r195130 = r195128 / r195129;
        double r195131 = r195127 + r195130;
        double r195132 = r195126 / r195131;
        double r195133 = r195125 - r195132;
        return r195133;
}
↓
double f(double x, double y) {
        double r195134 = x;
        double r195135 = y;
        double r195136 = 1.0;
        double r195137 = r195134 * r195135;
        double r195138 = 2.0;
        double r195139 = r195137 / r195138;
        double r195140 = r195136 + r195139;
        double r195141 = r195135 / r195140;
        double r195142 = r195134 - r195141;
        return r195142;
}

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 2020027 
(FPCore (x y)
  :name "Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B"
  :precision binary64
  (- x (/ y (+ 1 (/ (* x y) 2)))))