Average Error: 0.1 → 0.1
Time: 6.0s
Precision: binary64
\[\cosh x \cdot \frac{\sin y}{y} \]
↓
\[\frac{\sin y}{\frac{y}{\cosh x}} \]
(FPCore (x y) :precision binary64 (* (cosh x) (/ (sin y) y)))
↓
(FPCore (x y) :precision binary64 (/ (sin y) (/ y (cosh x))))
double code(double x, double y) {
	return cosh(x) * (sin(y) / y);
}
↓
double code(double x, double y) {
	return sin(y) / (y / cosh(x));
}

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

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

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

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

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

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

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

Error

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[\frac{\cosh x \cdot \sin y}{y} \]

Derivation

  1. Initial program 0.1

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

  2. Simplified0.1

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

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2022185 
(FPCore (x y)
  :name "Linear.Quaternion:$csinh from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (/ (* (cosh x) (sin y)) y)

  (* (cosh x) (/ (sin y) y)))