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 r275949 = x;
        double r275950 = y;
        double r275951 = 1.0;
        double r275952 = r275949 * r275950;
        double r275953 = 2.0;
        double r275954 = r275952 / r275953;
        double r275955 = r275951 + r275954;
        double r275956 = r275950 / r275955;
        double r275957 = r275949 - r275956;
        return r275957;
}
↓
double f(double x, double y) {
        double r275958 = x;
        double r275959 = y;
        double r275960 = 1.0;
        double r275961 = r275958 * r275959;
        double r275962 = 2.0;
        double r275963 = r275961 / r275962;
        double r275964 = r275960 + r275963;
        double r275965 = r275959 / r275964;
        double r275966 = r275958 - r275965;
        return r275966;
}

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 2020047 
(FPCore (x y)
  :name "Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B"
  :precision binary64
  (- x (/ y (+ 1 (/ (* x y) 2)))))