Average Error: 0.0 → 0.0
Time: 1.0s
Precision: 64
\[x \cdot x - y \cdot y\]
↓
\[x \cdot x - y \cdot y\]
x \cdot x - y \cdot y
↓
x \cdot x - y \cdot y
double f(double x, double y) {
        double r154130 = x;
        double r154131 = r154130 * r154130;
        double r154132 = y;
        double r154133 = r154132 * r154132;
        double r154134 = r154131 - r154133;
        return r154134;
}
↓
double f(double x, double y) {
        double r154135 = x;
        double r154136 = r154135 * r154135;
        double r154137 = y;
        double r154138 = r154137 * r154137;
        double r154139 = r154136 - r154138;
        return r154139;
}

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

    \[x \cdot x - y \cdot y\]

  2. Final simplification0.0

    \[\leadsto x \cdot x - y \cdot y\]

Reproduce

herbie shell --seed 2020001 
(FPCore (x y)
  :name "Examples.Basics.BasicTests:f2 from sbv-4.4"
  :precision binary64
  (- (* x x) (* y y)))