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

Average Error: 0.08% → 0.08%

Time: 10.8s

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 0.08

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

2. Final simplification 0.08

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

Alternatives

Alternative 1
Error	11.72%
Cost	13384

\[\begin{array}{l} \mathbf{if}\;x \leq -3.5 \cdot 10^{-53}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 5.2 \cdot 10^{-14}:\\ \;\;\;\;\sin y + z \cdot \cos y\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 2
Error	32.65%
Cost	7252

\[\begin{array}{l} \mathbf{if}\;z \leq 7.5 \cdot 10^{-285}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 3.4 \cdot 10^{-206}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{-99}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 1.38 \cdot 10^{-46}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;z \leq 9.6 \cdot 10^{+141}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;z \cdot \cos y\\ \end{array} \]

Alternative 3
Error	36.23%
Cost	6993

\[\begin{array}{l} \mathbf{if}\;z \leq 7.5 \cdot 10^{-285}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{-206} \lor \neg \left(z \leq 3.8 \cdot 10^{-99}\right) \land z \leq 1.38 \cdot 10^{-46}:\\ \;\;\;\;\sin y\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 4
Error	18.68%
Cost	6988

\[\begin{array}{l} \mathbf{if}\;z \leq -660000000000:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{-6}:\\ \;\;\;\;x + \sin y\\ \mathbf{elif}\;z \leq 2.2 \cdot 10^{+145}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;z \cdot \cos y\\ \end{array} \]

Alternative 5
Error	15.44%
Cost	6988

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -2.9 \cdot 10^{+16}:\\ \;\;\;\;t_0 + \left(x + y\right)\\ \mathbf{elif}\;z \leq 3.4 \cdot 10^{-6}:\\ \;\;\;\;x + \sin y\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{+144}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 6
Error	29.76%
Cost	584

\[\begin{array}{l} \mathbf{if}\;y \leq -5.9 \cdot 10^{+60}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq 7.5 \cdot 10^{+86}:\\ \;\;\;\;y + \left(x + z\right)\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 7
Error	56.02%
Cost	328

\[\begin{array}{l} \mathbf{if}\;x \leq -4.1 \cdot 10^{-119}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{-174}:\\ \;\;\;\;y\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 8
Error	45.66%
Cost	328

\[\begin{array}{l} \mathbf{if}\;x \leq -3 \cdot 10^{-56}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{-79}:\\ \;\;\;\;z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 9
Error	33.55%
Cost	192

\[x + z \]

Alternative 10
Error	58.29%
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023088 
(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))))