Average Error: 0.0 → 0.0
Time: 1.7s
Precision: binary64
Cost: 320
\[x \cdot y - x \]
↓
\[x \cdot \left(y + -1\right) \]
(FPCore (x y) :precision binary64 (- (* x y) x))
↓
(FPCore (x y) :precision binary64 (* x (+ y -1.0)))
double code(double x, double y) {
	return (x * y) - x;
}
↓
double code(double x, double y) {
	return x * (y + -1.0);
}

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 * (y + (-1.0d0))
end function

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

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

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

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

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

x \cdot y - x
↓
x \cdot \left(y + -1\right)

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x \cdot y - x \]

  2. Applied egg-rr0.0

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

  3. Final simplification0.0

    \[\leadsto x \cdot \left(y + -1\right) \]

Alternatives

Alternative 1
Error1.7
Cost456
\[\begin{array}{l} \mathbf{if}\;y \leq -6.343413215155137:\\ \;\;\;\;x \cdot y\\ \mathbf{elif}\;y \leq 2.3583391504686918 \cdot 10^{-9}:\\ \;\;\;\;-x\\ \mathbf{else}:\\ \;\;\;\;x \cdot y\\ \end{array} \]
Alternative 2
Error27.4
Cost128
\[-x \]

Error

Reproduce

herbie shell --seed 2022228 
(FPCore (x y)
  :name "Data.Histogram.Bin.LogBinD:$cbinSizeN from histogram-fill-0.8.4.1"
  :precision binary64
  (- (* x y) x))