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

Average Accuracy: 99.9% → 99.9%

Time: 10.4s

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	98.7%
Cost	13385

\[\begin{array}{l} t_0 := z \cdot \sin y\\ \mathbf{if}\;x \leq -1.4 \cdot 10^{-8} \lor \neg \left(x \leq 5.8 \cdot 10^{-38}\right):\\ \;\;\;\;\left(x + 1\right) - t_0\\ \mathbf{else}:\\ \;\;\;\;\cos y - t_0\\ \end{array} \]

Alternative 2
Accuracy	80.7%
Cost	7185

\[\begin{array}{l} t_0 := z \cdot \left(-\sin y\right)\\ \mathbf{if}\;z \leq -4 \cdot 10^{+177}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;z \leq -2.05 \cdot 10^{+116}:\\ \;\;\;\;x + 1\\ \mathbf{elif}\;z \leq -2.52 \cdot 10^{+95} \lor \neg \left(z \leq 1.25 \cdot 10^{+48}\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;x + \cos y\\ \end{array} \]

Alternative 3
Accuracy	98.9%
Cost	7113

\[\begin{array}{l} \mathbf{if}\;z \leq -5 \cdot 10^{+28} \lor \neg \left(z \leq 1\right):\\ \;\;\;\;\left(x + 1\right) - z \cdot \sin y\\ \mathbf{else}:\\ \;\;\;\;x + \cos y\\ \end{array} \]

Alternative 4
Accuracy	93.3%
Cost	6985

\[\begin{array}{l} \mathbf{if}\;z \leq -1.6 \cdot 10^{+29} \lor \neg \left(z \leq 27\right):\\ \;\;\;\;x - z \cdot \sin y\\ \mathbf{else}:\\ \;\;\;\;x + \cos y\\ \end{array} \]

Alternative 5
Accuracy	80.6%
Cost	6857

\[\begin{array}{l} \mathbf{if}\;y \leq -1040000000 \lor \neg \left(y \leq 19000000\right):\\ \;\;\;\;x + \cos y\\ \mathbf{else}:\\ \;\;\;\;\left(x + 1\right) - y \cdot z\\ \end{array} \]

Alternative 6
Accuracy	71.8%
Cost	6728

\[\begin{array}{l} \mathbf{if}\;x \leq -2.7 \cdot 10^{-8}:\\ \;\;\;\;x + 1\\ \mathbf{elif}\;x \leq 7.5 \cdot 10^{-14}:\\ \;\;\;\;\cos y\\ \mathbf{else}:\\ \;\;\;\;x + 1\\ \end{array} \]

Alternative 7
Accuracy	60.4%
Cost	848

\[\begin{array}{l} \mathbf{if}\;y \leq -3.5 \cdot 10^{+63}:\\ \;\;\;\;x + 1\\ \mathbf{elif}\;y \leq -5.4 \cdot 10^{-100}:\\ \;\;\;\;x - y \cdot z\\ \mathbf{elif}\;y \leq 3.55 \cdot 10^{-124}:\\ \;\;\;\;x + 1\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-57}:\\ \;\;\;\;1 - y \cdot z\\ \mathbf{else}:\\ \;\;\;\;x + 1\\ \end{array} \]

Alternative 8
Accuracy	69.9%
Cost	712

\[\begin{array}{l} \mathbf{if}\;y \leq -2.12 \cdot 10^{+21}:\\ \;\;\;\;x + 1\\ \mathbf{elif}\;y \leq 1.08 \cdot 10^{+24}:\\ \;\;\;\;\left(x + 1\right) - y \cdot z\\ \mathbf{else}:\\ \;\;\;\;x + 1\\ \end{array} \]

Alternative 9
Accuracy	63.3%
Cost	452

\[\begin{array}{l} \mathbf{if}\;z \leq 5.1 \cdot 10^{+172}:\\ \;\;\;\;x + 1\\ \mathbf{else}:\\ \;\;\;\;x - y \cdot z\\ \end{array} \]

Alternative 10
Accuracy	61.2%
Cost	388

\[\begin{array}{l} \mathbf{if}\;z \leq 8.6 \cdot 10^{+172}:\\ \;\;\;\;x + 1\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(-y\right)\\ \end{array} \]

Alternative 11
Accuracy	60.5%
Cost	328

\[\begin{array}{l} \mathbf{if}\;x \leq -7 \cdot 10^{-9}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 1:\\ \;\;\;\;1\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 12
Accuracy	61.4%
Cost	192

\[x + 1 \]

Alternative 13
Accuracy	21.4%
Cost	64

\[1 \]

Reproduce

herbie shell --seed 2023137 
(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))))