Linear.V2:$cdot from linear-1.19.1.3, A

Average Error: 0.0 → 0.0

Time: 2.9s

Precision: binary64

Cost: 448

Math

\[x \cdot y + z \cdot t \]

↓

\[x \cdot y + z \cdot t \]

FPCore

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

↓

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

C

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

↓

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

Fortran

real(8) function code(x, y, z, t)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    code = (x * y) + (z * t)
end function

↓

real(8) function code(x, y, z, t)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    code = (x * y) + (z * t)
end function

Java

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

↓

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

Python

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

↓

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

Julia

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

↓

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

MATLAB

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

↓

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

Wolfram

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

↓

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

Derivation

1. Initial program 0.0

   \[x \cdot y + z \cdot t \]

2. Final simplification 0.0

   \[\leadsto x \cdot y + z \cdot t \]

Alternatives

Alternative 1
Error	21.5
Cost	720

\[\begin{array}{l} \mathbf{if}\;y \leq -1.35 \cdot 10^{-44}:\\ \;\;\;\;y \cdot x\\ \mathbf{elif}\;y \leq 1.6 \cdot 10^{-107}:\\ \;\;\;\;t \cdot z\\ \mathbf{elif}\;y \leq 2 \cdot 10^{-65}:\\ \;\;\;\;y \cdot x\\ \mathbf{elif}\;y \leq 7000000:\\ \;\;\;\;t \cdot z\\ \mathbf{else}:\\ \;\;\;\;y \cdot x\\ \end{array} \]

Alternative 2
Error	30.5
Cost	192

\[t \cdot z \]

Reproduce

herbie shell --seed 2023092 
(FPCore (x y z t)
  :name "Linear.V2:$cdot from linear-1.19.1.3, A"
  :precision binary64
  (+ (* x y) (* z t)))