Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C

Average Error: 0.1 → 0.1

Time: 19.1s

Precision: binary64

Cost: 13248

Math

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

↓

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

FPCore

(FPCore (x y z) :precision binary64 (+ (+ x (sin y)) (* z (cos y))))

↓

(FPCore (x y z) :precision binary64 (+ (+ x (sin y)) (* z (cos y))))

C

double code(double x, double y, double z) {
	return (x + sin(y)) + (z * cos(y));
}

↓

double code(double x, double y, double z) {
	return (x + sin(y)) + (z * cos(y));
}

Fortran

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

Java

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

↓

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

Python

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

↓

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

Julia

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

↓

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

MATLAB

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

↓

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

Wolfram

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

↓

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

Derivation

1. Initial program 0.1

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

2. Final simplification 0.1

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

Alternatives

Alternative 1
Error	21.1
Cost	7256

\[\begin{array}{l} \mathbf{if}\;x \leq -5.2 \cdot 10^{-220}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq -4.4 \cdot 10^{-259}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq 1.06 \cdot 10^{-250}:\\ \;\;\;\;y + z\\ \mathbf{elif}\;x \leq 2.85 \cdot 10^{-216}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq 4 \cdot 10^{-141}:\\ \;\;\;\;y + z\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{-116}:\\ \;\;\;\;\sin y\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 2
Error	17.5
Cost	7120

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;x \leq -2.35 \cdot 10^{+20}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq -3.8 \cdot 10^{-221}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq -1.48 \cdot 10^{-235}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{+37}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 3
Error	10.9
Cost	6984

\[\begin{array}{l} t_0 := x + z \cdot \cos y\\ \mathbf{if}\;x \leq -5.4 \cdot 10^{-221}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq -1.5 \cdot 10^{-235}:\\ \;\;\;\;\sin y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 4
Error	0.5
Cost	6984

\[\begin{array}{l} t_0 := x + z \cdot \cos y\\ \mathbf{if}\;z \leq -1.14 \cdot 10^{+14}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 4.1:\\ \;\;\;\;\left(x + \sin y\right) + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 5
Error	20.4
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -8.5 \cdot 10^{-113}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{-154}:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 6
Error	21.5
Cost	192

\[x + z \]

Alternative 7
Error	47.1
Cost	64

\[z \]

Reproduce

herbie shell --seed 2022325 
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C"
  :precision binary64
  (+ (+ x (sin y)) (* z (cos y))))