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

Average Error: 0.1 → 0.1

Time: 10.3s

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	17.6
Cost	7120

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -1.0534156578752266 \cdot 10^{+85}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 2.2074896383650917 \cdot 10^{-154}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 3.300257962750949 \cdot 10^{-115}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;z \leq 1.4244920644270548 \cdot 10^{+91}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 2
Error	17.5
Cost	7120

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -1.0534156578752266 \cdot 10^{+85}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 5.304744146654871 \cdot 10^{-163}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 3.300257962750949 \cdot 10^{-115}:\\ \;\;\;\;\sin y + z\\ \mathbf{elif}\;z \leq 1.4244920644270548 \cdot 10^{+91}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Error	20.9
Cost	6992

\[\begin{array}{l} \mathbf{if}\;y \leq -2.7391698505992075 \cdot 10^{+117}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq -51842453278644180:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;y \leq 2.4789776165847412 \cdot 10^{+47}:\\ \;\;\;\;z + \left(x + y\right)\\ \mathbf{elif}\;y \leq 2.7968149682654336 \cdot 10^{+193}:\\ \;\;\;\;\sin y\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 4
Error	6.7
Cost	6984

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -1.0534156578752266 \cdot 10^{+85}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 1.4244920644270548 \cdot 10^{+91}:\\ \;\;\;\;\left(x + \sin y\right) + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 5
Error	11.5
Cost	6856

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -1.0534156578752266 \cdot 10^{+85}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 4.302465312052749:\\ \;\;\;\;x + \sin y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 6
Error	18.8
Cost	584

\[\begin{array}{l} \mathbf{if}\;y \leq -2.157284451639278 \cdot 10^{+30}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq 5.35943775166028 \cdot 10^{+26}:\\ \;\;\;\;z + \left(x + y\right)\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 7
Error	26.6
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -5.191194434202434 \cdot 10^{-35}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 9.094951084433948 \cdot 10^{-24}:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 8
Error	20.3
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -8.873331023590138 \cdot 10^{-184}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 8.334243119741936 \cdot 10^{-170}:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 9
Error	31.2
Cost	328

\[\begin{array}{l} \mathbf{if}\;z \leq -4.5602082127160673 \cdot 10^{+86}:\\ \;\;\;\;z\\ \mathbf{elif}\;z \leq 4.302465312052749:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;z\\ \end{array} \]

Alternative 10
Error	36.8
Cost	64

\[x \]

Reproduce

herbie shell --seed 2022308 
(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))))