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

Average Error: 0.1 → 0.1

Time: 9.1s

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	18.5
Cost	7120

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -3.206579003040929 \cdot 10^{+88}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 4.4165067524867927 \cdot 10^{-213}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 4.80973166203007 \cdot 10^{-148}:\\ \;\;\;\;\sin y + z\\ \mathbf{elif}\;z \leq 2.865448592767312 \cdot 10^{+35}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 2
Error	3.1
Cost	6984

\[\begin{array}{l} t_0 := x + z \cdot \cos y\\ \mathbf{if}\;z \leq -1.5756044624791378 \cdot 10^{-42}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 8.515828206713084 \cdot 10^{-26}:\\ \;\;\;\;x + \sin y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Error	0.4
Cost	6984

\[\begin{array}{l} t_0 := x + z \cdot \cos y\\ \mathbf{if}\;z \leq -29857039.367868867:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 0.0006243750596830401:\\ \;\;\;\;z + \left(x + \sin y\right)\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 4
Error	14.3
Cost	6856

\[\begin{array}{l} \mathbf{if}\;x \leq -4.931190904755021 \cdot 10^{-66}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 3.793250411003257 \cdot 10^{-36}:\\ \;\;\;\;\sin y + z\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 5
Error	12.0
Cost	6856

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -1.4522050599370842 \cdot 10^{-38}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 2.865448592767312 \cdot 10^{+35}:\\ \;\;\;\;x + \sin y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 6
Error	21.0
Cost	6728

\[\begin{array}{l} \mathbf{if}\;y \leq -14618774516040.238:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq 3.0024992967316267 \cdot 10^{+103}:\\ \;\;\;\;z + \left(x + y\right)\\ \mathbf{else}:\\ \;\;\;\;\sin y\\ \end{array} \]

Alternative 7
Error	19.2
Cost	584

\[\begin{array}{l} \mathbf{if}\;y \leq -14618774516040.238:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq 27571.91642154239:\\ \;\;\;\;z + \left(x + y\right)\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 8
Error	26.8
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -3.157460698626907 \cdot 10^{+27}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 35029591254918944:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 9
Error	20.6
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -7.656691963095304 \cdot 10^{-122}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 7.937809847709668 \cdot 10^{-90}:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 10
Error	29.0
Cost	328

\[\begin{array}{l} \mathbf{if}\;x \leq -3.157460698626907 \cdot 10^{+27}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 35029591254918944:\\ \;\;\;\;z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 11
Error	37.2
Cost	64

\[x \]

Reproduce

herbie shell --seed 2022225 
(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))))