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

Average Error: 0.1 → 0.1

Time: 8.6s

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	20.3
Cost	7252

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;y \leq -2.380352982134691 \cdot 10^{+160}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq -3.427922393040104 \cdot 10^{+87}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq -0.08996209833038692:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 3659287558771437:\\ \;\;\;\;z + \left(x + y\right)\\ \mathbf{elif}\;y \leq 8.238487680462956 \cdot 10^{+172}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 2
Error	9.8
Cost	7120

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -4.415234112267413 \cdot 10^{+78}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -1.8470280334412355 \cdot 10^{-53}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 350413565150.9004:\\ \;\;\;\;x + \sin y\\ \mathbf{elif}\;z \leq 1.2865172192115594 \cdot 10^{+152}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Error	3.3
Cost	6984

\[\begin{array}{l} t_0 := x + z \cdot \cos y\\ \mathbf{if}\;z \leq -1.8470280334412355 \cdot 10^{-53}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 8.255363010356919 \cdot 10^{-46}:\\ \;\;\;\;x + \sin y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 4
Error	1.0
Cost	6984

\[\begin{array}{l} t_0 := x + z \cdot \cos y\\ \mathbf{if}\;z \leq -764.4658699606699:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 8.255363010356919 \cdot 10^{-46}:\\ \;\;\;\;z + \left(x + \sin y\right)\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 5
Error	19.7
Cost	584

\[\begin{array}{l} \mathbf{if}\;y \leq -6.769775456934134 \cdot 10^{+50}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq 2.0426390121999264 \cdot 10^{-34}:\\ \;\;\;\;z + \left(x + y\right)\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 6
Error	27.0
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -128085349078244210:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 2.955737922670193 \cdot 10^{-36}:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 7
Error	20.8
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -3.711949721195061 \cdot 10^{-102}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 4.815017388032583 \cdot 10^{-136}:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 8
Error	29.1
Cost	328

\[\begin{array}{l} \mathbf{if}\;x \leq -128085349078244210:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 2.955737922670193 \cdot 10^{-36}:\\ \;\;\;\;z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 9
Error	47.6
Cost	64

\[z \]

Reproduce

herbie shell --seed 2022318 
(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))))