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

Average Error: 0.1 → 0.1

Time: 10.2s

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 0.1

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

2. Final simplification 0.1

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

Alternatives

Alternative 1
Error	8.4
Cost	13516

\[\begin{array}{l} t_0 := \cos y \cdot z\\ \mathbf{if}\;z \leq -1.5 \cdot 10^{+201}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -8.5 \cdot 10^{+79}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;z \leq -2.4 \cdot 10^{-14}:\\ \;\;\;\;t_0 + \sin y\\ \mathbf{elif}\;z \leq 8.4 \cdot 10^{+107}:\\ \;\;\;\;\left(x + \sin y\right) + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 2
Error	19.2
Cost	7252

\[\begin{array}{l} t_0 := \cos y \cdot z\\ \mathbf{if}\;z \leq -8.2 \cdot 10^{+200}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -1.7 \cdot 10^{+80}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;z \leq -1.22 \cdot 10^{+31}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{-250}:\\ \;\;\;\;y + \left(z + x\right)\\ \mathbf{elif}\;z \leq 2.25 \cdot 10^{+113}:\\ \;\;\;\;z + x\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Error	10.9
Cost	7252

\[\begin{array}{l} t_0 := \cos y \cdot z\\ \mathbf{if}\;z \leq -8.2 \cdot 10^{+200}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -1.3 \cdot 10^{+80}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;z \leq -8500:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 4 \cdot 10^{-25}:\\ \;\;\;\;\sin y + x\\ \mathbf{elif}\;z \leq 3 \cdot 10^{+113}:\\ \;\;\;\;z + x\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 4
Error	7.7
Cost	7248

\[\begin{array}{l} t_0 := \cos y \cdot z\\ \mathbf{if}\;z \leq -8.2 \cdot 10^{+200}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -4.7 \cdot 10^{+79}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;z \leq -1.4 \cdot 10^{+31}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{+113}:\\ \;\;\;\;\left(x + \sin y\right) + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 5
Error	15.2
Cost	7120

\[\begin{array}{l} t_0 := z + \sin y\\ \mathbf{if}\;x \leq -2.5 \cdot 10^{-132}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;x \leq -9.6 \cdot 10^{-297}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 1.22 \cdot 10^{-291}:\\ \;\;\;\;\cos y \cdot z\\ \mathbf{elif}\;x \leq 1.8 \cdot 10^{-55}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;z + x\\ \end{array} \]

Alternative 6
Error	19.1
Cost	584

\[\begin{array}{l} \mathbf{if}\;y \leq -2 \cdot 10^{+33}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;y \leq 3.1 \cdot 10^{+38}:\\ \;\;\;\;y + \left(z + x\right)\\ \mathbf{else}:\\ \;\;\;\;z + x\\ \end{array} \]

Alternative 7
Error	20.4
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -3.5 \cdot 10^{-141}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{-106}:\\ \;\;\;\;z + y\\ \mathbf{else}:\\ \;\;\;\;z + x\\ \end{array} \]

Alternative 8
Error	28.6
Cost	328

\[\begin{array}{l} \mathbf{if}\;x \leq -8.5 \cdot 10^{+14}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 0.3:\\ \;\;\;\;z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 9
Error	21.4
Cost	192

\[z + x \]

Alternative 10
Error	37.1
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023077 
(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))))