Average Error: 0.1 → 0.1
Time: 4.9s
Precision: binary64
\[\left(x + \cos y\right) - z \cdot \sin y \]
↓
\[\cos y + \left(x - z \cdot \sin y\right) \]
(FPCore (x y z) :precision binary64 (- (+ x (cos y)) (* z (sin y))))
↓
(FPCore (x y z) :precision binary64 (+ (cos y) (- x (* z (sin y)))))
double code(double x, double y, double z) {
	return (x + cos(y)) - (z * sin(y));
}
↓
double code(double x, double y, double z) {
	return cos(y) + (x - (z * sin(y)));
}

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

public static double code(double x, double y, double z) {
	return (x + Math.cos(y)) - (z * Math.sin(y));
}
↓
public static double code(double x, double y, double z) {
	return Math.cos(y) + (x - (z * Math.sin(y)));
}

def code(x, y, z):
	return (x + math.cos(y)) - (z * math.sin(y))
↓
def code(x, y, z):
	return math.cos(y) + (x - (z * math.sin(y)))

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

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

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

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

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Applied egg-rr0.1

    \[\leadsto \color{blue}{\cos y + \left(x - z \cdot \sin y\right)} \]

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2022150 
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B"
  :precision binary64
  (- (+ x (cos y)) (* z (sin y))))