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

Average Error: 0.0 → 0.0

Time: 7.2s

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 0.0

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

2. Final simplification 0.0

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

Alternatives

Alternative 1
Error	18.6
Cost	7516

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;x \leq -5.6 \cdot 10^{-17}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq -3.5 \cdot 10^{-37}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq -4.9 \cdot 10^{-135}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq -7.5 \cdot 10^{-140}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq -5.1 \cdot 10^{-245}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{-237}:\\ \;\;\;\;z + \left(x + y\right)\\ \mathbf{elif}\;x \leq 1.8 \cdot 10^{-91}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 2
Error	8.4
Cost	6985

\[\begin{array}{l} \mathbf{if}\;y \leq -1.55 \cdot 10^{-5} \lor \neg \left(y \leq 0.0007\right):\\ \;\;\;\;x + z \cdot \cos y\\ \mathbf{else}:\\ \;\;\;\;z + \left(x + y\right)\\ \end{array} \]

Alternative 3
Error	0.5
Cost	6985

\[\begin{array}{l} \mathbf{if}\;z \leq -1.85 \lor \neg \left(z \leq 1.5 \cdot 10^{-14}\right):\\ \;\;\;\;x + z \cdot \cos y\\ \mathbf{else}:\\ \;\;\;\;\left(x + \sin y\right) + z\\ \end{array} \]

Alternative 4
Error	19.2
Cost	6728

\[\begin{array}{l} \mathbf{if}\;y \leq -2.75 \cdot 10^{+206}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq -2.45 \cdot 10^{+191}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;y \leq -4.8 \cdot 10^{+64}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq 3.1:\\ \;\;\;\;z + \left(x + y\right)\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 5
Error	19.0
Cost	584

\[\begin{array}{l} \mathbf{if}\;y \leq -3.3 \cdot 10^{+66}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq 3.1:\\ \;\;\;\;z + \left(x + y\right)\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 6
Error	20.3
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -3.3 \cdot 10^{-121}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 6.8 \cdot 10^{-152}:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 7
Error	45.5
Cost	328

\[\begin{array}{l} \mathbf{if}\;z \leq -1.5 \cdot 10^{-140}:\\ \;\;\;\;z\\ \mathbf{elif}\;z \leq 8.4 \cdot 10^{-155}:\\ \;\;\;\;y\\ \mathbf{else}:\\ \;\;\;\;z\\ \end{array} \]

Alternative 8
Error	21.4
Cost	192

\[x + z \]

Alternative 9
Error	59.7
Cost	64

\[y \]

Reproduce

herbie shell --seed 2023031 
(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))))