Average Error: 0.0 → 0.0
Time: 1.9s
Precision: binary64
\[\left(x + y\right) \cdot z \]
↓
\[y \cdot z + z \cdot x \]
(FPCore (x y z) :precision binary64 (* (+ x y) z))
↓
(FPCore (x y z) :precision binary64 (+ (* y z) (* z x)))
double code(double x, double y, double z) {
	return (x + y) * z;
}
↓
double code(double x, double y, double z) {
	return (y * z) + (z * x);
}

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

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

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

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

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

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

\left(x + y\right) \cdot z
↓
y \cdot z + z \cdot x

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(x + y\right) \cdot z \]

  2. Taylor expanded in x around 0 0.0

    \[\leadsto \color{blue}{y \cdot z + z \cdot x} \]

  3. Final simplification0.0

    \[\leadsto y \cdot z + z \cdot x \]

Reproduce

herbie shell --seed 2022192 
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  :precision binary64
  (* (+ x y) z))