Average Error: 0.1 → 0.1
Time: 2.5s
Precision: binary64
\[x \cdot \frac{\sin y}{y} \]
↓
\[\frac{x}{\frac{y}{\sin y}} \]
(FPCore (x y) :precision binary64 (* x (/ (sin y) y)))
↓
(FPCore (x y) :precision binary64 (/ x (/ y (sin y))))
double code(double x, double y) {
	return x * (sin(y) / y);
}
↓
double code(double x, double y) {
	return x / (y / sin(y));
}

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

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

def code(x, y):
	return x * (math.sin(y) / y)
↓
def code(x, y):
	return x / (y / math.sin(y))

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

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

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

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

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 0.1

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

  2. Applied egg-rr0.1

    \[\leadsto \color{blue}{\frac{x}{\frac{y}{\sin y}}} \]

  3. Final simplification0.1

    \[\leadsto \frac{x}{\frac{y}{\sin y}} \]

Reproduce

herbie shell --seed 2022150 
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))