Average Error: 0.0 → 0.0
Time: 3.1s
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
Error16.7
Cost848
\[\begin{array}{l} \mathbf{if}\;y \leq -8 \cdot 10^{+117}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq -5.5 \cdot 10^{+74}:\\ \;\;\;\;\frac{x}{y}\\ \mathbf{elif}\;y \leq -7 \cdot 10^{+33}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 9.2 \cdot 10^{+29}:\\ \;\;\;\;\frac{x}{y + 1}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 2
Error17.2
Cost848
\[\begin{array}{l} t_0 := \frac{x}{y + 1}\\ \mathbf{if}\;x \leq -8 \cdot 10^{-75}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 3.4 \cdot 10^{-118}:\\ \;\;\;\;\frac{y}{y + 1}\\ \mathbf{elif}\;x \leq 6400000:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 1.4 \cdot 10^{+51}:\\ \;\;\;\;1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 3
Error17.5
Cost724
\[\begin{array}{l} \mathbf{if}\;y \leq -1.55 \cdot 10^{+111}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq -9 \cdot 10^{+71}:\\ \;\;\;\;\frac{x}{y}\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{+33}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq -1:\\ \;\;\;\;\frac{x}{y}\\ \mathbf{elif}\;y \leq 15000000:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 4
Error8.4
Cost712
\[\begin{array}{l} t_0 := 1 - \frac{1 - x}{y}\\ \mathbf{if}\;y \leq -3900:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 20500000:\\ \;\;\;\;\frac{x}{y + 1}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 5
Error8.5
Cost584
\[\begin{array}{l} t_0 := 1 + \frac{x}{y}\\ \mathbf{if}\;y \leq -4000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 11500000000:\\ \;\;\;\;\frac{x}{y + 1}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 6
Error16.8
Cost328
\[\begin{array}{l} \mathbf{if}\;y \leq -1:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 15000000:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 7
Error40.0
Cost64
\[1 \]

Error

Reproduce

herbie shell --seed 2022325 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  :precision binary64
  (/ (+ x y) (+ y 1.0)))