Average Error: 0.0 → 0.0
Time: 1.2s
Precision: 64
\[0.5 \cdot \left(x \cdot x - y\right)\]
↓
\[0.5 \cdot \left(x \cdot x - y\right)\]
0.5 \cdot \left(x \cdot x - y\right)
↓
0.5 \cdot \left(x \cdot x - y\right)
double f(double x, double y) {
        double r1977 = 0.5;
        double r1978 = x;
        double r1979 = r1978 * r1978;
        double r1980 = y;
        double r1981 = r1979 - r1980;
        double r1982 = r1977 * r1981;
        return r1982;
}
↓
double f(double x, double y) {
        double r1983 = 0.5;
        double r1984 = x;
        double r1985 = r1984 * r1984;
        double r1986 = y;
        double r1987 = r1985 - r1986;
        double r1988 = r1983 * r1987;
        return r1988;
}

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

    \[0.5 \cdot \left(x \cdot x - y\right)\]

  2. Final simplification0.0

    \[\leadsto 0.5 \cdot \left(x \cdot x - y\right)\]

Reproduce

herbie shell --seed 2020027 
(FPCore (x y)
  :name "System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2"
  :precision binary64
  (* 0.5 (- (* x x) y)))