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

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

↓

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

FPCore

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

↓

(FPCore (x y z) :precision binary64 (+ (* z (cos y)) (+ x (sin 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 (z * cos(y)) + (x + sin(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 = (z * cos(y)) + (x + sin(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 (z * Math.cos(y)) + (x + Math.sin(y));
}

Python

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

↓

def code(x, y, z):
	return (z * math.cos(y)) + (x + math.sin(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(z * cos(y)) + Float64(x + sin(y)))
end

MATLAB

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

↓

function tmp = code(x, y, z)
	tmp = (z * cos(y)) + (x + sin(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[(z * N[Cos[y], $MachinePrecision]), $MachinePrecision] + N[(x + N[Sin[y], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 0.1

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

2. Final simplification 0.1

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

Alternatives

Alternative 1
Error	9.7
Cost	7508

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -1.2122258679160396 \cdot 10^{+192}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -1.5269390318249027 \cdot 10^{-111}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 1.0534743273697433 \cdot 10^{-42}:\\ \;\;\;\;x + \sin y\\ \mathbf{elif}\;z \leq 1.5256828054520908 \cdot 10^{+98}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 3.3675823272914263 \cdot 10^{+184}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(x + y\right)\\ \end{array} \]

Alternative 2
Error	17.4
Cost	7120

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -1.2122258679160396 \cdot 10^{+192}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -4.134652416664313 \cdot 10^{-170}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 6.951885837040458 \cdot 10^{-95}:\\ \;\;\;\;y + \left(x + z\right)\\ \mathbf{elif}\;z \leq 1.5256828054520908 \cdot 10^{+98}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Error	9.8
Cost	7120

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -1.2122258679160396 \cdot 10^{+192}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -1.5269390318249027 \cdot 10^{-111}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 1.0534743273697433 \cdot 10^{-42}:\\ \;\;\;\;x + \sin y\\ \mathbf{elif}\;z \leq 1.5256828054520908 \cdot 10^{+98}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 4
Error	19.6
Cost	6728

\[\begin{array}{l} \mathbf{if}\;x \leq -1.0694109591234513 \cdot 10^{-21}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq -2.8741572151691164 \cdot 10^{-72}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq 4.7882041375632194 \cdot 10^{-33}:\\ \;\;\;\;y + \left(x + z\right)\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 5
Error	18.6
Cost	584

\[\begin{array}{l} \mathbf{if}\;y \leq -5.6331254089158625 \cdot 10^{+56}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq 1393467.4013561832:\\ \;\;\;\;y + \left(x + z\right)\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 6
Error	28.7
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -4.519040634168812 \cdot 10^{+124}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 1189639.3908977848:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 7
Error	20.1
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -2.3464185735336456 \cdot 10^{-218}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 1.0368026855248793 \cdot 10^{-84}:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 8
Error	30.9
Cost	328

\[\begin{array}{l} \mathbf{if}\;x \leq -2.3944564044018373 \cdot 10^{+125}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 1189639.3908977848:\\ \;\;\;\;z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 9
Error	36.7
Cost	64

\[x \]

Reproduce

herbie shell --seed 2022300 
(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))))