Average Error: 0.1 → 0.2
Time: 6.1s
Precision: binary64
\[\cosh x \cdot \frac{\sin y}{y} \]
↓
\[e^{\log \cosh x} \cdot \frac{\sin y}{y} \]
(FPCore (x y) :precision binary64 (* (cosh x) (/ (sin y) y)))
↓
(FPCore (x y) :precision binary64 (* (exp (log (cosh x))) (/ (sin y) y)))
double code(double x, double y) {
	return cosh(x) * (sin(y) / y);
}
↓
double code(double x, double y) {
	return exp(log(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 = exp(log(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.exp(Math.log(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.exp(math.log(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(exp(log(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 = exp(log(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[Exp[N[Log[N[Cosh[x], $MachinePrecision]], $MachinePrecision]], $MachinePrecision] * N[(N[Sin[y], $MachinePrecision] / y), $MachinePrecision]), $MachinePrecision]

\cosh x \cdot \frac{\sin y}{y}
↓
e^{\log \cosh x} \cdot \frac{\sin y}{y}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.2
\[\frac{\cosh x \cdot \sin y}{y} \]

Derivation

  1. Initial program 0.1

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

  2. Applied egg-rr0.2

    \[\leadsto \color{blue}{e^{\log \cosh x}} \cdot \frac{\sin y}{y} \]

  3. Final simplification0.2

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

Reproduce

herbie shell --seed 2022153 
(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)))