Average Error: 13.8 → 0.2
Time: 4.9s
Precision: binary64
\[\frac{\sin x \cdot \sinh y}{x} \]
↓
\[\sin x \cdot \frac{\sinh y}{x} \]
(FPCore (x y) :precision binary64 (/ (* (sin x) (sinh y)) x))
↓
(FPCore (x y) :precision binary64 (* (sin x) (/ (sinh y) x)))
double code(double x, double y) {
	return (sin(x) * sinh(y)) / x;
}
↓
double code(double x, double y) {
	return sin(x) * (sinh(y) / x);
}

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) * (sinh(y) / x)
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) * (Math.sinh(y) / x);
}

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

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

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

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

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

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original13.8
Target0.2
Herbie0.2
\[\sin x \cdot \frac{\sinh y}{x} \]

Derivation

  1. Initial program 13.8

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

  2. Simplified0.2

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

  3. Final simplification0.2

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

Reproduce

herbie shell --seed 2022150 
(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))