Average Error: 0.0 → 0.0
Time: 5.2s
Precision: binary64
\[\sin x \cdot \frac{\sinh y}{y} \]
↓
\[\sin x \cdot {\left(\sqrt{\frac{\sinh y}{y}}\right)}^{2} \]
(FPCore (x y) :precision binary64 (* (sin x) (/ (sinh y) y)))
↓
(FPCore (x y) :precision binary64 (* (sin x) (pow (sqrt (/ (sinh y) y)) 2.0)))
double code(double x, double y) {
	return sin(x) * (sinh(y) / y);
}
↓
double code(double x, double y) {
	return sin(x) * pow(sqrt((sinh(y) / y)), 2.0);
}

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

public static double code(double x, double y) {
	return Math.sin(x) * (Math.sinh(y) / y);
}
↓
public static double code(double x, double y) {
	return Math.sin(x) * Math.pow(Math.sqrt((Math.sinh(y) / y)), 2.0);
}

def code(x, y):
	return math.sin(x) * (math.sinh(y) / y)
↓
def code(x, y):
	return math.sin(x) * math.pow(math.sqrt((math.sinh(y) / y)), 2.0)

function code(x, y)
	return Float64(sin(x) * Float64(sinh(y) / y))
end
↓
function code(x, y)
	return Float64(sin(x) * (sqrt(Float64(sinh(y) / y)) ^ 2.0))
end

function tmp = code(x, y)
	tmp = sin(x) * (sinh(y) / y);
end
↓
function tmp = code(x, y)
	tmp = sin(x) * (sqrt((sinh(y) / y)) ^ 2.0);
end

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

\sin x \cdot \frac{\sinh y}{y}
↓
\sin x \cdot {\left(\sqrt{\frac{\sinh y}{y}}\right)}^{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

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

  2. Applied egg-rr0.0

    \[\leadsto \sin x \cdot \color{blue}{{\left(\sqrt{\frac{\sinh y}{y}}\right)}^{2}} \]

  3. Final simplification0.0

    \[\leadsto \sin x \cdot {\left(\sqrt{\frac{\sinh y}{y}}\right)}^{2} \]

Reproduce

herbie shell --seed 2022162 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))