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

Average Error: 0.1 → 0.1

Time: 8.9s

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	9.9
Cost	7508

\[\begin{array}{l} t_0 := z \cdot \cos y\\ t_1 := \left(x + y\right) + t_0\\ \mathbf{if}\;z \leq -1.8 \cdot 10^{+163}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -3.6 \cdot 10^{-38}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 7 \cdot 10^{-24}:\\ \;\;\;\;x + \sin y\\ \mathbf{elif}\;z \leq 1.6 \cdot 10^{+182}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 9.6 \cdot 10^{+206}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 2
Error	10.4
Cost	7120

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -3.3 \cdot 10^{+232}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -1.7 \cdot 10^{-38}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{-24}:\\ \;\;\;\;x + \sin y\\ \mathbf{elif}\;z \leq 2 \cdot 10^{+181}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Error	20.1
Cost	6992

\[\begin{array}{l} \mathbf{if}\;x \leq -1.5 \cdot 10^{-20}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 9.2 \cdot 10^{-91}:\\ \;\;\;\;y + \left(x + z\right)\\ \mathbf{elif}\;x \leq 4.8 \cdot 10^{-52}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 4.8 \cdot 10^{-12}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq 5.2 \cdot 10^{-8}:\\ \;\;\;\;x + y\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 4
Error	17.5
Cost	6860

\[\begin{array}{l} \mathbf{if}\;x \leq -9 \cdot 10^{-80}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{-51}:\\ \;\;\;\;z \cdot \cos y\\ \mathbf{elif}\;x \leq 3.35 \cdot 10^{-12}:\\ \;\;\;\;\sin y\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 5
Error	19.4
Cost	584

\[\begin{array}{l} \mathbf{if}\;y \leq -4 \cdot 10^{+42}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq 2.35 \cdot 10^{-12}:\\ \;\;\;\;y + \left(x + z\right)\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 6
Error	28.7
Cost	328

\[\begin{array}{l} \mathbf{if}\;x \leq -5.4 \cdot 10^{-30}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 5.1 \cdot 10^{-55}:\\ \;\;\;\;z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 7
Error	21.8
Cost	192

\[x + z \]

Alternative 8
Error	37.0
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023039 
(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))))