Average Error: 0.0 → 0.0
Time: 8.7s
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 r13262054 = x;
        double r13262055 = y;
        double r13262056 = 1.0;
        double r13262057 = r13262054 * r13262055;
        double r13262058 = 2.0;
        double r13262059 = r13262057 / r13262058;
        double r13262060 = r13262056 + r13262059;
        double r13262061 = r13262055 / r13262060;
        double r13262062 = r13262054 - r13262061;
        return r13262062;
}
↓
double f(double x, double y) {
        double r13262063 = x;
        double r13262064 = y;
        double r13262065 = 1.0;
        double r13262066 = r13262063 * r13262064;
        double r13262067 = 2.0;
        double r13262068 = r13262066 / r13262067;
        double r13262069 = r13262065 + r13262068;
        double r13262070 = r13262064 / r13262069;
        double r13262071 = r13262063 - r13262070;
        return r13262071;
}

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 2019174 
(FPCore (x y)
  :name "Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B"
  (- x (/ y (+ 1.0 (/ (* x y) 2.0)))))