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

Average Accuracy: 99.9% → 99.9%

Time: 9.0s

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	69.5%
Cost	7648

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -1.7 \cdot 10^{+106}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -7.8 \cdot 10^{-88}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq -1.06 \cdot 10^{-153}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;z \leq 1.08 \cdot 10^{-301}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-261}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;z \leq 4.9 \cdot 10^{-191}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{-144}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{+126}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 2
Accuracy	85.1%
Cost	7120

\[\begin{array}{l} t_0 := z \cdot \cos y\\ \mathbf{if}\;z \leq -2.2 \cdot 10^{+106}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -2.8 \cdot 10^{-31}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-40}:\\ \;\;\;\;x + \sin y\\ \mathbf{elif}\;z \leq 2.35 \cdot 10^{+126}:\\ \;\;\;\;x + z\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Accuracy	65.7%
Cost	6992

\[\begin{array}{l} \mathbf{if}\;x \leq -7.8 \cdot 10^{-64}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;x \leq -9.5 \cdot 10^{-250}:\\ \;\;\;\;\sin y\\ \mathbf{elif}\;x \leq 1.22 \cdot 10^{-122}:\\ \;\;\;\;z + \left(x + y\right)\\ \mathbf{elif}\;x \leq 8.5 \cdot 10^{-52}:\\ \;\;\;\;\sin y\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 4
Accuracy	89.1%
Cost	6985

\[\begin{array}{l} \mathbf{if}\;z \leq -6.5 \cdot 10^{+106} \lor \neg \left(z \leq 2.4 \cdot 10^{+126}\right):\\ \;\;\;\;z \cdot \cos y\\ \mathbf{else}:\\ \;\;\;\;\left(x + \sin y\right) + z\\ \end{array} \]

Alternative 5
Accuracy	69.6%
Cost	584

\[\begin{array}{l} \mathbf{if}\;y \leq -1.5 \cdot 10^{+50}:\\ \;\;\;\;x + z\\ \mathbf{elif}\;y \leq 9 \cdot 10^{+77}:\\ \;\;\;\;z + \left(x + y\right)\\ \mathbf{else}:\\ \;\;\;\;x + z\\ \end{array} \]

Alternative 6
Accuracy	50.2%
Cost	328

\[\begin{array}{l} \mathbf{if}\;z \leq -7.8 \cdot 10^{+151}:\\ \;\;\;\;z\\ \mathbf{elif}\;z \leq 430000000:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;z\\ \end{array} \]

Alternative 7
Accuracy	65.7%
Cost	192

\[x + z \]

Alternative 8
Accuracy	42.2%
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023133 
(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))))