Average Error: 14.0 → 0.1
Time: 10.4s
Precision: binary64
Cost: 13120
\[\frac{\sin x \cdot \sinh y}{x} \]
↓
\[\frac{\sinh y}{\frac{x}{\sin x}} \]
(FPCore (x y) :precision binary64 (/ (* (sin x) (sinh y)) x))
↓
(FPCore (x y) :precision binary64 (/ (sinh y) (/ x (sin x))))
double code(double x, double y) {
	return (sin(x) * sinh(y)) / x;
}
↓
double code(double x, double y) {
	return sinh(y) / (x / sin(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 = sinh(y) / (x / sin(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.sinh(y) / (x / Math.sin(x));
}

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

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

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

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

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

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original14.0
Target0.2
Herbie0.1
\[\sin x \cdot \frac{\sinh y}{x} \]

Derivation

  1. Initial program 14.0

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

  2. Applied egg-rr14.0

    \[\leadsto \color{blue}{\frac{1}{x} \cdot \left(\sin x \cdot \sinh y\right)} \]

  3. Applied egg-rr0.1

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

  4. Final simplification0.1

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

Alternatives

Alternative 1
Error15.9
Cost6728
\[\begin{array}{l} t_0 := \left(y + 1\right) + -1\\ \mathbf{if}\;x \leq -6.426266346414301 \cdot 10^{+19}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 3.5765349854847204 \cdot 10^{+21}:\\ \;\;\;\;\sinh y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 2
Error1.2
Cost6720
\[\frac{y}{\frac{x}{\sin x}} \]
Alternative 3
Error16.4
Cost840
\[\begin{array}{l} t_0 := \left(y + 1\right) + -1\\ \mathbf{if}\;x \leq -6.426266346414301 \cdot 10^{+19}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 3.5765349854847204 \cdot 10^{+21}:\\ \;\;\;\;\frac{1}{\frac{1}{y} + y \cdot -0.16666666666666666}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 4
Error16.4
Cost584
\[\begin{array}{l} t_0 := \left(y + 1\right) + -1\\ \mathbf{if}\;x \leq -6.426266346414301 \cdot 10^{+19}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 3.5765349854847204 \cdot 10^{+21}:\\ \;\;\;\;y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 5
Error30.9
Cost64
\[y \]

Error

Reproduce

herbie shell --seed 2022317 
(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))