Average Error: 0.1 → 0.1
Time: 8.4s
Precision: binary64
Cost: 13120
\[\cosh x \cdot \frac{\sin y}{y} \]
↓
\[\cosh x \cdot \frac{\sin y}{y} \]
(FPCore (x y) :precision binary64 (* (cosh x) (/ (sin y) y)))
↓
(FPCore (x y) :precision binary64 (* (cosh x) (/ (sin y) y)))
double code(double x, double y) {
	return cosh(x) * (sin(y) / y);
}
↓
double code(double x, double y) {
	return cosh(x) * (sin(y) / y);
}

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 = cosh(x) * (sin(y) / y)
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.cosh(x) * (Math.sin(y) / y);
}

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

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

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

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

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

Error

Try it out

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. Final simplification0.1

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

Alternatives

Alternative 1
Error0.8
Cost7104
\[\frac{\sin y}{y} \cdot \left(1 + 0.5 \cdot \left(x \cdot x\right)\right) \]
Alternative 2
Error1.1
Cost6592
\[\frac{\sin y}{y} \]
Alternative 3
Error30.9
Cost576
\[\frac{1}{1 + 0.16666666666666666 \cdot \left(y \cdot y\right)} \]
Alternative 4
Error31.6
Cost448
\[1 + x \cdot \left(x \cdot 0.5\right) \]
Alternative 5
Error31.7
Cost64
\[1 \]

Error

Reproduce

herbie shell --seed 2022325 
(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)))