Average Error: 0.0 → 0.0
Time: 1.3s
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 r283651 = x;
        double r283652 = y;
        double r283653 = 1.0;
        double r283654 = r283651 * r283652;
        double r283655 = 2.0;
        double r283656 = r283654 / r283655;
        double r283657 = r283653 + r283656;
        double r283658 = r283652 / r283657;
        double r283659 = r283651 - r283658;
        return r283659;
}
↓
double f(double x, double y) {
        double r283660 = x;
        double r283661 = y;
        double r283662 = 1.0;
        double r283663 = r283660 * r283661;
        double r283664 = 2.0;
        double r283665 = r283663 / r283664;
        double r283666 = r283662 + r283665;
        double r283667 = r283661 / r283666;
        double r283668 = r283660 - r283667;
        return r283668;
}

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 2020021 
(FPCore (x y)
  :name "Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B"
  :precision binary64
  (- x (/ y (+ 1 (/ (* x y) 2)))))