Average Error: 0.1 → 0.1
Time: 8.0s
Precision: binary64
Cost: 13120
\[\cosh x \cdot \frac{\sin y}{y} \]
\[\frac{\sin y \cdot \cosh x}{y} \]
(FPCore (x y) :precision binary64 (* (cosh x) (/ (sin y) y)))
(FPCore (x y) :precision binary64 (/ (* (sin y) (cosh x)) y))
double code(double x, double y) {
	return cosh(x) * (sin(y) / y);
}
double code(double x, double y) {
	return (sin(y) * cosh(x)) / 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 = (sin(y) * cosh(x)) / 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.sin(y) * Math.cosh(x)) / y;
}
def code(x, y):
	return math.cosh(x) * (math.sin(y) / y)
def code(x, y):
	return (math.sin(y) * math.cosh(x)) / y
function code(x, y)
	return Float64(cosh(x) * Float64(sin(y) / y))
end
function code(x, y)
	return Float64(Float64(sin(y) * cosh(x)) / y)
end
function tmp = code(x, y)
	tmp = cosh(x) * (sin(y) / y);
end
function tmp = code(x, y)
	tmp = (sin(y) * cosh(x)) / y;
end
code[x_, y_] := N[(N[Cosh[x], $MachinePrecision] * N[(N[Sin[y], $MachinePrecision] / y), $MachinePrecision]), $MachinePrecision]
code[x_, y_] := N[(N[(N[Sin[y], $MachinePrecision] * N[Cosh[x], $MachinePrecision]), $MachinePrecision] / y), $MachinePrecision]
\cosh x \cdot \frac{\sin y}{y}
\frac{\sin y \cdot \cosh x}{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. Applied egg-rr0.1

    \[\leadsto \color{blue}{\frac{\sin y \cdot \cosh x}{y}} \]
  3. Final simplification0.1

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

Alternatives

Alternative 1
Error0.1
Cost13120
\[\cosh x \cdot \frac{\sin y}{y} \]
Alternative 2
Error1.0
Cost7104
\[\frac{\sin y \cdot \left(0.5 \cdot \left(x \cdot x\right) + 1\right)}{y} \]
Alternative 3
Error1.4
Cost6592
\[\frac{\sin y}{y} \]
Alternative 4
Error31.2
Cost6464
\[\cosh x \]
Alternative 5
Error31.7
Cost448
\[0.5 \cdot \left(x \cdot x\right) + 1 \]
Alternative 6
Error31.9
Cost64
\[1 \]

Error

Reproduce

herbie shell --seed 2022331 
(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)))