Average Error: 0.0 → 0.0
Time: 3.5s
Precision: binary64
Cost: 448
\[\frac{x + y}{y + 1} \]
↓
\[\frac{x + y}{y + 1} \]
(FPCore (x y) :precision binary64 (/ (+ x y) (+ y 1.0)))
↓
(FPCore (x y) :precision binary64 (/ (+ x y) (+ y 1.0)))
double code(double x, double y) {
	return (x + y) / (y + 1.0);
}
↓
double code(double x, double y) {
	return (x + y) / (y + 1.0);
}

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (x + y) / (y + 1.0d0)
end function
↓
real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (x + y) / (y + 1.0d0)
end function

public static double code(double x, double y) {
	return (x + y) / (y + 1.0);
}
↓
public static double code(double x, double y) {
	return (x + y) / (y + 1.0);
}

def code(x, y):
	return (x + y) / (y + 1.0)
↓
def code(x, y):
	return (x + y) / (y + 1.0)

function code(x, y)
	return Float64(Float64(x + y) / Float64(y + 1.0))
end
↓
function code(x, y)
	return Float64(Float64(x + y) / Float64(y + 1.0))
end

function tmp = code(x, y)
	tmp = (x + y) / (y + 1.0);
end
↓
function tmp = code(x, y)
	tmp = (x + y) / (y + 1.0);
end

code[x_, y_] := N[(N[(x + y), $MachinePrecision] / N[(y + 1.0), $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_] := N[(N[(x + y), $MachinePrecision] / N[(y + 1.0), $MachinePrecision]), $MachinePrecision]

\frac{x + y}{y + 1}
↓
\frac{x + y}{y + 1}

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x + y}{y + 1} \]

  2. Final simplification0.0

    \[\leadsto \frac{x + y}{y + 1} \]

Alternatives

Alternative 1
Error17.3
Cost720
\[\begin{array}{l} \mathbf{if}\;y \leq -240833171788610.2:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 8.5311152158769 \cdot 10^{-7}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 4.143066135889694 \cdot 10^{+92}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 3.9407502583341623 \cdot 10^{+120}:\\ \;\;\;\;\frac{x}{y}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 2
Error17.0
Cost720
\[\begin{array}{l} t_0 := \frac{y}{y + 1}\\ \mathbf{if}\;y \leq -240833171788610.2:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 8.5311152158769 \cdot 10^{-7}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 4.143066135889694 \cdot 10^{+92}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 3.9407502583341623 \cdot 10^{+120}:\\ \;\;\;\;\frac{x}{y}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 3
Error16.4
Cost720
\[\begin{array}{l} t_0 := \frac{y}{y + 1}\\ \mathbf{if}\;y \leq -240833171788610.2:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 8.5311152158769 \cdot 10^{-7}:\\ \;\;\;\;\frac{x}{y + 1}\\ \mathbf{elif}\;y \leq 4.143066135889694 \cdot 10^{+92}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 3.9407502583341623 \cdot 10^{+120}:\\ \;\;\;\;\frac{x}{y}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 4
Error8.5
Cost584
\[\begin{array}{l} t_0 := 1 + \frac{x}{y}\\ \mathbf{if}\;y \leq -240833171788610.2:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 831822.8446492314:\\ \;\;\;\;\frac{x}{y + 1}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 5
Error32.6
Cost328
\[\begin{array}{l} \mathbf{if}\;y \leq -2.7555714327055 \cdot 10^{-15}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 0.0027100045923510586:\\ \;\;\;\;y\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 6
Error17.0
Cost328
\[\begin{array}{l} \mathbf{if}\;y \leq -240833171788610.2:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 8.5311152158769 \cdot 10^{-7}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 7
Error55.0
Cost64
\[y \]

Error

Reproduce

herbie shell --seed 2022228 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  :precision binary64
  (/ (+ x y) (+ y 1.0)))