Average Error: 14.3 → 0.1
Time: 4.7s
Precision: binary64
\[\frac{\sin x \cdot \sinh y}{x} \]
↓
\[\frac{\sin x}{x} \cdot \sinh y \]
(FPCore (x y) :precision binary64 (/ (* (sin x) (sinh y)) x))
↓
(FPCore (x y) :precision binary64 (* (/ (sin x) x) (sinh y)))
double code(double x, double y) {
	return (sin(x) * sinh(y)) / x;
}
↓
double code(double x, double y) {
	return (sin(x) / x) * sinh(y);
}

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

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

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

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

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

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

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

Original14.3
Target0.2
Herbie0.1
\[\sin x \cdot \frac{\sinh y}{x} \]

Derivation

  1. Initial program 14.3

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

  2. Simplified0.2

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

  3. Applied egg-rr0.8

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

  4. Applied egg-rr0.1

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2022170 
(FPCore (x y)
  :name "Linear.Quaternion:$ccosh from linear-1.19.1.3"
  :precision binary64

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

  (/ (* (sin x) (sinh y)) x))