Average Error: 0.0 → 0.0
Time: 801.0ms
Precision: binary64
\[\frac{x \cdot y}{2} \]
↓
\[x \cdot \frac{y}{2} \]
(FPCore (x y) :precision binary64 (/ (* x y) 2.0))
↓
(FPCore (x y) :precision binary64 (* x (/ y 2.0)))
double code(double x, double y) {
	return (x * y) / 2.0;
}
↓
double code(double x, double y) {
	return x * (y / 2.0);
}

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (x * y) / 2.0d0
end function
↓
real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = x * (y / 2.0d0)
end function

public static double code(double x, double y) {
	return (x * y) / 2.0;
}
↓
public static double code(double x, double y) {
	return x * (y / 2.0);
}

def code(x, y):
	return (x * y) / 2.0
↓
def code(x, y):
	return x * (y / 2.0)

function code(x, y)
	return Float64(Float64(x * y) / 2.0)
end
↓
function code(x, y)
	return Float64(x * Float64(y / 2.0))
end

function tmp = code(x, y)
	tmp = (x * y) / 2.0;
end
↓
function tmp = code(x, y)
	tmp = x * (y / 2.0);
end

code[x_, y_] := N[(N[(x * y), $MachinePrecision] / 2.0), $MachinePrecision]
↓
code[x_, y_] := N[(x * N[(y / 2.0), $MachinePrecision]), $MachinePrecision]

\frac{x \cdot y}{2}
↓
x \cdot \frac{y}{2}

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

    \[\frac{x \cdot y}{2} \]

  2. Simplified0.0

    \[\leadsto \color{blue}{x \cdot \frac{y}{2}} \]

  3. Final simplification0.0

    \[\leadsto x \cdot \frac{y}{2} \]

Reproduce

herbie shell --seed 2022150 
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2.0))