SynthBasics:oscSampleBasedAux from YampaSynth-0.2

Average Error: 0.0 → 0.0

Time: 7.0s

Precision: binary64

Cost: 576

Math

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

↓

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

FPCore

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

↓

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

C

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

↓

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

Java

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

↓

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

Python

def code(x, y, z):
	return x + (y * (z - x))

↓

def code(x, y, z):
	return x + ((z * y) - (x * y))

Julia

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

↓

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

MATLAB

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

↓

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

Wolfram

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

↓

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

Derivation

1. Initial program 0.0

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

2. Applied egg-rr 0.0

   \[\leadsto x + \color{blue}{\left(z \cdot y + \left(-x\right) \cdot y\right)} \]

3. Final simplification 0.0

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

Alternatives

Alternative 1
Error	24.7
Cost	1312

\[\begin{array}{l} t_0 := x \cdot \left(-y\right)\\ \mathbf{if}\;y \leq -3.3 \cdot 10^{+134}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq -9.2 \cdot 10^{+55}:\\ \;\;\;\;z \cdot y\\ \mathbf{elif}\;y \leq -1.2032559811338807 \cdot 10^{+20}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq -4.8161371390310954 \cdot 10^{-95}:\\ \;\;\;\;z \cdot y\\ \mathbf{elif}\;y \leq 4.178891821039126 \cdot 10^{-7}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 5 \cdot 10^{+52}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 7.2 \cdot 10^{+114}:\\ \;\;\;\;z \cdot y\\ \mathbf{elif}\;y \leq 8 \cdot 10^{+224}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;z \cdot y\\ \end{array} \]

Alternative 2
Error	1.0
Cost	712

\[\begin{array}{l} t_0 := z \cdot y - x \cdot y\\ \mathbf{if}\;y \leq -1.929044516582242:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 4.178891821039126 \cdot 10^{-7}:\\ \;\;\;\;x + z \cdot y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Error	16.0
Cost	584

\[\begin{array}{l} t_0 := x - x \cdot y\\ \mathbf{if}\;x \leq -2.625295009350199 \cdot 10^{-100}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 1.2715348785243181 \cdot 10^{-58}:\\ \;\;\;\;z \cdot y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 4
Error	13.0
Cost	584

\[\begin{array}{l} t_0 := y \cdot \left(z - x\right)\\ \mathbf{if}\;y \leq -4.8161371390310954 \cdot 10^{-95}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 251950121222.91455:\\ \;\;\;\;x - x \cdot y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 5
Error	1.0
Cost	584

\[\begin{array}{l} t_0 := y \cdot \left(z - x\right)\\ \mathbf{if}\;y \leq -1.929044516582242:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 4.178891821039126 \cdot 10^{-7}:\\ \;\;\;\;x + z \cdot y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 6
Error	24.8
Cost	456

\[\begin{array}{l} \mathbf{if}\;y \leq -4.8161371390310954 \cdot 10^{-95}:\\ \;\;\;\;z \cdot y\\ \mathbf{elif}\;y \leq 4.178891821039126 \cdot 10^{-7}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;z \cdot y\\ \end{array} \]

Alternative 7
Error	0.0
Cost	448

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

Alternative 8
Error	35.2
Cost	64

\[x \]

Reproduce

herbie shell --seed 2022317 
(FPCore (x y z)
  :name "SynthBasics:oscSampleBasedAux from YampaSynth-0.2"
  :precision binary64
  (+ x (* y (- z x))))