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

Average Error: 0.1 → 0.1

Time: 7.9s

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	19.7
Cost	7516

\[\begin{array}{l} t_0 := \cos y \cdot z\\ \mathbf{if}\;x \leq -9.5 \cdot 10^{-33}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;x \leq -1.8 \cdot 10^{-64}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq -2.95 \cdot 10^{-174}:\\ \;\;\;\;y + \left(z + x\right)\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{-303}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq 4 \cdot 10^{-199}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 5.1 \cdot 10^{-179}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{-32}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;z + x\\ \end{array} \]

Alternative 2
Error	22.0
Cost	7256

\[\begin{array}{l} \mathbf{if}\;x \leq -8 \cdot 10^{-35}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;x \leq -2.35 \cdot 10^{-66}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq -4.9 \cdot 10^{-176}:\\ \;\;\;\;y + \left(z + x\right)\\ \mathbf{elif}\;x \leq 4.3 \cdot 10^{-297}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq 6 \cdot 10^{-195}:\\ \;\;\;\;z + y\\ \mathbf{elif}\;x \leq 8.8 \cdot 10^{-39}:\\ \;\;\;\;\sin y\\ \mathbf{else}:\\ \;\;\;\;z + x\\ \end{array} \]

Alternative 3
Error	14.4
Cost	6992

\[\begin{array}{l} \mathbf{if}\;x \leq -1.2 \cdot 10^{-16}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;x \leq 1.4 \cdot 10^{-92}:\\ \;\;\;\;z + \sin y\\ \mathbf{elif}\;x \leq 3.3 \cdot 10^{-27}:\\ \;\;\;\;\cos y \cdot z\\ \mathbf{elif}\;x \leq 8.4 \cdot 10^{-23}:\\ \;\;\;\;\sin y\\ \mathbf{else}:\\ \;\;\;\;z + x\\ \end{array} \]

Alternative 4
Error	10.7
Cost	6988

\[\begin{array}{l} t_0 := \cos y \cdot z\\ \mathbf{if}\;z \leq -2.7 \cdot 10^{+109}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -9 \cdot 10^{-15}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;z \leq 3.7 \cdot 10^{+97}:\\ \;\;\;\;\sin y + x\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 5
Error	6.7
Cost	6984

\[\begin{array}{l} t_0 := \cos y \cdot z\\ \mathbf{if}\;z \leq -4.6 \cdot 10^{+110}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{+98}:\\ \;\;\;\;\left(x + \sin y\right) + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 6
Error	19.9
Cost	584

\[\begin{array}{l} \mathbf{if}\;y \leq -1.72 \cdot 10^{+134}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{-26}:\\ \;\;\;\;y + \left(z + x\right)\\ \mathbf{else}:\\ \;\;\;\;z + x\\ \end{array} \]

Alternative 7
Error	21.1
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -9.5 \cdot 10^{-74}:\\ \;\;\;\;z + x\\ \mathbf{elif}\;x \leq 5.6 \cdot 10^{-250}:\\ \;\;\;\;z + y\\ \mathbf{else}:\\ \;\;\;\;z + x\\ \end{array} \]

Alternative 8
Error	35.4
Cost	328

\[\begin{array}{l} \mathbf{if}\;x \leq -9.2 \cdot 10^{-74}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 5.6 \cdot 10^{-250}:\\ \;\;\;\;y\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 9
Error	28.9
Cost	328

\[\begin{array}{l} \mathbf{if}\;x \leq -1.96 \cdot 10^{+33}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 7 \cdot 10^{-32}:\\ \;\;\;\;z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 10
Error	21.7
Cost	192

\[z + x \]

Alternative 11
Error	36.1
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023102 
(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))))