Average Error: 0.0 → 0.0
Time: 2.3s
Precision: binary64
Cost: 320
\[\frac{x}{y + x} \]
↓
\[\frac{x}{x + y} \]
(FPCore (x y) :precision binary64 (/ x (+ y x)))
↓
(FPCore (x y) :precision binary64 (/ x (+ x y)))
double code(double x, double y) {
	return x / (y + x);
}
↓
double code(double x, double y) {
	return x / (x + y);
}

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

public static double code(double x, double y) {
	return x / (y + x);
}
↓
public static double code(double x, double y) {
	return x / (x + y);
}

def code(x, y):
	return x / (y + x)
↓
def code(x, y):
	return x / (x + y)

function code(x, y)
	return Float64(x / Float64(y + x))
end
↓
function code(x, y)
	return Float64(x / Float64(x + y))
end

function tmp = code(x, y)
	tmp = x / (y + x);
end
↓
function tmp = code(x, y)
	tmp = x / (x + y);
end

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

\frac{x}{y + x}
↓
\frac{x}{x + y}

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x}{y + x} \]

  2. Final simplification0.0

    \[\leadsto \frac{x}{x + y} \]

Alternatives

Alternative 1
Error17.1
Cost848
\[\begin{array}{l} t_0 := 1 - \frac{y}{x}\\ \mathbf{if}\;y \leq -1.06 \cdot 10^{+84}:\\ \;\;\;\;\frac{x}{y}\\ \mathbf{elif}\;y \leq -5.953988370931133 \cdot 10^{+49}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq -4.445604543794876 \cdot 10^{-9}:\\ \;\;\;\;\frac{x}{y}\\ \mathbf{elif}\;y \leq 4.4773631053891256 \cdot 10^{-27}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y}\\ \end{array} \]
Alternative 2
Error17.1
Cost720
\[\begin{array}{l} \mathbf{if}\;y \leq -1.06 \cdot 10^{+84}:\\ \;\;\;\;\frac{x}{y}\\ \mathbf{elif}\;y \leq -5.953988370931133 \cdot 10^{+49}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq -4.445604543794876 \cdot 10^{-9}:\\ \;\;\;\;\frac{x}{y}\\ \mathbf{elif}\;y \leq 4.4773631053891256 \cdot 10^{-27}:\\ \;\;\;\;1\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y}\\ \end{array} \]
Alternative 3
Error31.8
Cost64
\[1 \]

Error

Reproduce

herbie shell --seed 2022217 
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))