Average Error: 0.0 → 0.0
Time: 2.6s
Precision: binary64
Cost: 576
\[x \cdot x - \left(y \cdot 4\right) \cdot z \]
↓
\[x \cdot x + z \cdot \left(y \cdot -4\right) \]
(FPCore (x y z) :precision binary64 (- (* x x) (* (* y 4.0) z)))
↓
(FPCore (x y z) :precision binary64 (+ (* x x) (* z (* y -4.0))))
double code(double x, double y, double z) {
	return (x * x) - ((y * 4.0) * z);
}
↓
double code(double x, double y, double z) {
	return (x * x) + (z * (y * -4.0));
}

real(8) function code(x, y, z)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    code = (x * x) - ((y * 4.0d0) * 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 = (x * x) + (z * (y * (-4.0d0)))
end function

public static double code(double x, double y, double z) {
	return (x * x) - ((y * 4.0) * z);
}
↓
public static double code(double x, double y, double z) {
	return (x * x) + (z * (y * -4.0));
}

def code(x, y, z):
	return (x * x) - ((y * 4.0) * z)
↓
def code(x, y, z):
	return (x * x) + (z * (y * -4.0))

function code(x, y, z)
	return Float64(Float64(x * x) - Float64(Float64(y * 4.0) * z))
end
↓
function code(x, y, z)
	return Float64(Float64(x * x) + Float64(z * Float64(y * -4.0)))
end

function tmp = code(x, y, z)
	tmp = (x * x) - ((y * 4.0) * z);
end
↓
function tmp = code(x, y, z)
	tmp = (x * x) + (z * (y * -4.0));
end

code[x_, y_, z_] := N[(N[(x * x), $MachinePrecision] - N[(N[(y * 4.0), $MachinePrecision] * z), $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_, z_] := N[(N[(x * x), $MachinePrecision] + N[(z * N[(y * -4.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

x \cdot x - \left(y \cdot 4\right) \cdot z
↓
x \cdot x + z \cdot \left(y \cdot -4\right)

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x \cdot x - \left(y \cdot 4\right) \cdot z \]

  2. Final simplification0.0

    \[\leadsto x \cdot x + z \cdot \left(y \cdot -4\right) \]

Reproduce

herbie shell --seed 2022297 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4.0) z)))