?

Average Accuracy: 99.9% → 99.9%
Time: 1.4s
Precision: binary64
Cost: 576

?

\[x \cdot x - \left(y \cdot 4\right) \cdot z \]
↓
\[x \cdot x - \left(y \cdot 4\right) \cdot z \]
(FPCore (x y z) :precision binary64 (- (* x x) (* (* y 4.0) z)))
↓
(FPCore (x y z) :precision binary64 (- (* x x) (* (* y 4.0) z)))
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) - ((y * 4.0) * z);
}

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) - ((y * 4.0d0) * z)
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) - ((y * 4.0) * z);
}

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

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(Float64(y * 4.0) * z))
end

function tmp = code(x, y, z)
	tmp = (x * x) - ((y * 4.0) * z);
end
↓
function tmp = code(x, y, z)
	tmp = (x * x) - ((y * 4.0) * z);
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[(N[(y * 4.0), $MachinePrecision] * z), $MachinePrecision]), $MachinePrecision]

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

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 99.9%

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

  2. Final simplification99.9%

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

Reproduce?

herbie shell --seed 2023137 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4.0) z)))