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

Average Accuracy: 99.9% → 99.9%

Time: 9.2s

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 99.9%

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

2. Final simplification 99.9%

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

Alternatives

Alternative 1
Accuracy	89.5%
Cost	13384

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -6.6 \cdot 10^{+199}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq 2.4 \cdot 10^{+99}:\\ \;\;\;\;\left(x + \sin y\right) + z\\ \mathbf{else}:\\ \;\;\;\;\sin y + t_0\\ \end{array} \]

Alternative 2
Accuracy	69.5%
Cost	7388

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;x \leq -1.55 \cdot 10^{-43}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq -1.56 \cdot 10^{-294}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 7.8 \cdot 10^{-296}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{-278}:\\ \;\;\;\;y + z\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{-110}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq 1.8 \cdot 10^{-85}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{-75}:\\ \;\;\;\;\sin y\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 3
Accuracy	89.4%
Cost	6985

\[\begin{array}{l} \mathbf{if}\;z \leq -5.2 \cdot 10^{+199} \lor \neg \left(z \leq 1.1 \cdot 10^{+103}\right):\\ \;\;\;\;z \cdot \cos y\\ \mathbf{else}:\\ \;\;\;\;\left(x + \sin y\right) + z\\ \end{array} \]

Alternative 4
Accuracy	83.6%
Cost	6857

\[\begin{array}{l} \mathbf{if}\;z \leq -3.2 \cdot 10^{+44} \lor \neg \left(z \leq 370000000000\right):\\ \;\;\;\;z \cdot \cos y\\ \mathbf{else}:\\ \;\;\;\;x + \sin y\\ \end{array} \]

Alternative 5
Accuracy	65.9%
Cost	6728

\[\begin{array}{l} \mathbf{if}\;x \leq -3.3 \cdot 10^{-233}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 7 \cdot 10^{-75}:\\ \;\;\;\;\sin y\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 6
Accuracy	57.2%
Cost	720

\[\begin{array}{l} \mathbf{if}\;x \leq -3.75 \cdot 10^{+25}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -0.000225:\\ \;\;\;\;z\\ \mathbf{elif}\;x \leq -2 \cdot 10^{-43}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{+52}:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 7
Accuracy	51.8%
Cost	592

\[\begin{array}{l} \mathbf{if}\;z \leq -9.2 \cdot 10^{+55}:\\ \;\;\;\;z\\ \mathbf{elif}\;z \leq 530000000000:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 3.6 \cdot 10^{+86}:\\ \;\;\;\;z\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{+139}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;z\\ \end{array} \]

Alternative 8
Accuracy	70.2%
Cost	584

\[\begin{array}{l} \mathbf{if}\;y \leq -5.8 \cdot 10^{+32}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq 1.12 \cdot 10^{-11}:\\ \;\;\;\;y + \left(x + z\right)\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 9
Accuracy	67.9%
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -7.5 \cdot 10^{-186}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq 1.3 \cdot 10^{-64}:\\ \;\;\;\;y + z\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 10
Accuracy	43.2%
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023138 
(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))))