Average Error: 0.0 → 0.0
Time: 3.9s
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
Error17.4
Cost848
\[\begin{array}{l} t_0 := \frac{x}{y + 1}\\ \mathbf{if}\;y \leq -4.5632091554398244 \cdot 10^{+82}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 5.199114607102118 \cdot 10^{-66}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 2.6443810711227688 \cdot 10^{-15}:\\ \;\;\;\;y\\ \mathbf{elif}\;y \leq 2.221217525788742 \cdot 10^{+74}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 2
Error17.1
Cost848
\[\begin{array}{l} t_0 := \frac{y}{y + 1}\\ \mathbf{if}\;y \leq -5.436887180554249 \cdot 10^{-19}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 5.199114607102118 \cdot 10^{-66}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 411729.85051168053:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 2.221217525788742 \cdot 10^{+74}:\\ \;\;\;\;\frac{x}{y + 1}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 3
Error9.0
Cost844
\[\begin{array}{l} t_0 := 1 + \frac{x + -1}{y}\\ \mathbf{if}\;y \leq -5.053978874805354 \cdot 10^{+19}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 5.199114607102118 \cdot 10^{-66}:\\ \;\;\;\;\frac{x}{y + 1}\\ \mathbf{elif}\;y \leq 411729.85051168053:\\ \;\;\;\;\frac{y}{y + 1}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 4
Error17.3
Cost584
\[\begin{array}{l} \mathbf{if}\;y \leq -11.62750023525451:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 5.199114607102118 \cdot 10^{-66}:\\ \;\;\;\;x - x \cdot y\\ \mathbf{elif}\;y \leq 2.6443810711227688 \cdot 10^{-15}:\\ \;\;\;\;y\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 5
Error17.4
Cost460
\[\begin{array}{l} \mathbf{if}\;y \leq -11.62750023525451:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 5.199114607102118 \cdot 10^{-66}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 2.6443810711227688 \cdot 10^{-15}:\\ \;\;\;\;y\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 6
Error33.0
Cost328
\[\begin{array}{l} \mathbf{if}\;y \leq -5.053978874805354 \cdot 10^{+19}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 2.6443810711227688 \cdot 10^{-15}:\\ \;\;\;\;y\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 7
Error39.4
Cost64
\[1 \]

Error

Reproduce

herbie shell --seed 2022308 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  :precision binary64
  (/ (+ x y) (+ y 1.0)))