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

Average Accuracy: 99.9% → 99.9%

Time: 9.8s

Precision: binary64

Cost: 13248

Math

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

↓

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

FPCore

(FPCore (x y z) :precision binary64 (- (+ x (cos y)) (* z (sin y))))

↓

(FPCore (x y z) :precision binary64 (- (+ x (cos y)) (* z (sin y))))

C

double code(double x, double y, double z) {
	return (x + cos(y)) - (z * sin(y));
}

↓

double code(double x, double y, double z) {
	return (x + cos(y)) - (z * 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 + cos(y)) - (z * sin(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 + cos(y)) - (z * sin(y))
end function

Java

public static double code(double x, double y, double z) {
	return (x + Math.cos(y)) - (z * Math.sin(y));
}

↓

public static double code(double x, double y, double z) {
	return (x + Math.cos(y)) - (z * Math.sin(y));
}

Python

def code(x, y, z):
	return (x + math.cos(y)) - (z * math.sin(y))

↓

def code(x, y, z):
	return (x + math.cos(y)) - (z * math.sin(y))

Julia

function code(x, y, z)
	return Float64(Float64(x + cos(y)) - Float64(z * sin(y)))
end

↓

function code(x, y, z)
	return Float64(Float64(x + cos(y)) - Float64(z * sin(y)))
end

MATLAB

function tmp = code(x, y, z)
	tmp = (x + cos(y)) - (z * sin(y));
end

↓

function tmp = code(x, y, z)
	tmp = (x + cos(y)) - (z * sin(y));
end

Wolfram

code[x_, y_, z_] := N[(N[(x + N[Cos[y], $MachinePrecision]), $MachinePrecision] - N[(z * N[Sin[y], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_] := N[(N[(x + N[Cos[y], $MachinePrecision]), $MachinePrecision] - N[(z * N[Sin[y], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 99.9%

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

2. Final simplification 99.9%

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

Alternatives

Alternative 1
Accuracy	98.6%
Cost	13385

\[\begin{array}{l} t_0 := z \cdot \sin y\\ \mathbf{if}\;x \leq -170 \lor \neg \left(x \leq 0.98\right):\\ \;\;\;\;x - t_0\\ \mathbf{else}:\\ \;\;\;\;\cos y - t_0\\ \end{array} \]

Alternative 2
Accuracy	80.8%
Cost	7185

\[\begin{array}{l} t_0 := z \cdot \left(-\sin y\right)\\ \mathbf{if}\;z \leq -5.2 \cdot 10^{+268}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -4 \cdot 10^{+147}:\\ \;\;\;\;x + \left(1 - y \cdot z\right)\\ \mathbf{elif}\;z \leq -1.3 \cdot 10^{+112} \lor \neg \left(z \leq 1.5 \cdot 10^{+148}\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;x + \cos y\\ \end{array} \]

Alternative 3
Accuracy	92.0%
Cost	6985

\[\begin{array}{l} \mathbf{if}\;z \leq -5.8 \cdot 10^{+111} \lor \neg \left(z \leq 1.7 \cdot 10^{+31}\right):\\ \;\;\;\;x - z \cdot \sin y\\ \mathbf{else}:\\ \;\;\;\;x + \cos y\\ \end{array} \]

Alternative 4
Accuracy	80.8%
Cost	6857

\[\begin{array}{l} \mathbf{if}\;y \leq -7.8 \cdot 10^{-7} \lor \neg \left(y \leq 2.2 \cdot 10^{-13}\right):\\ \;\;\;\;x + \cos y\\ \mathbf{else}:\\ \;\;\;\;x + \left(1 - y \cdot z\right)\\ \end{array} \]

Alternative 5
Accuracy	70.4%
Cost	6728

\[\begin{array}{l} \mathbf{if}\;x \leq -6.8 \cdot 10^{-9}:\\ \;\;\;\;x + 1\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-27}:\\ \;\;\;\;\cos y\\ \mathbf{else}:\\ \;\;\;\;x + \left(1 - y \cdot z\right)\\ \end{array} \]

Alternative 6
Accuracy	69.7%
Cost	712

\[\begin{array}{l} \mathbf{if}\;y \leq -5.6 \cdot 10^{+25}:\\ \;\;\;\;x + 1\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{-13}:\\ \;\;\;\;x + \left(1 - y \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;x + 1\\ \end{array} \]

Alternative 7
Accuracy	66.9%
Cost	584

\[\begin{array}{l} \mathbf{if}\;x \leq -3.2 \cdot 10^{-10}:\\ \;\;\;\;x + 1\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-12}:\\ \;\;\;\;1 - y \cdot z\\ \mathbf{else}:\\ \;\;\;\;x + 1\\ \end{array} \]

Alternative 8
Accuracy	60.7%
Cost	328

\[\begin{array}{l} \mathbf{if}\;x \leq -0.9:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 1.3 \cdot 10^{-15}:\\ \;\;\;\;1\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 9
Accuracy	61.8%
Cost	192

\[x + 1 \]

Alternative 10
Accuracy	21.4%
Cost	64

\[1 \]

Reproduce

herbie shell --seed 2023147 
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B"
  :precision binary64
  (- (+ x (cos y)) (* z (sin y))))