Average Error: 0.0 → 0.0
Time: 1.5s
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 r1816 = 0.5;
        double r1817 = x;
        double r1818 = r1817 * r1817;
        double r1819 = y;
        double r1820 = r1818 - r1819;
        double r1821 = r1816 * r1820;
        return r1821;
}
↓
double f(double x, double y) {
        double r1822 = 0.5;
        double r1823 = x;
        double r1824 = r1823 * r1823;
        double r1825 = y;
        double r1826 = r1824 - r1825;
        double r1827 = r1822 * r1826;
        return r1827;
}

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 2020002 
(FPCore (x y)
  :name "System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2"
  :precision binary64
  (* 0.5 (- (* x x) y)))