Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B

Average Error: 0.0 → 0.0

Time: 3.4s

Precision: binary64

Cost: 448

Math

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

↓

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

FPCore

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

↓

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

C

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

↓

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

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
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 = (z * y) + (z * x)
end function

Java

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

↓

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

Python

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

↓

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

Julia

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

↓

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

MATLAB

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

↓

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

Wolfram

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

↓

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

Derivation

1. Initial program 0.0

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

2. Applied egg-rr 0.0

   \[\leadsto \color{blue}{z \cdot y + z \cdot x} \]

3. Final simplification 0.0

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

Alternatives

Alternative 1
Error	23.4
Cost	589

\[\begin{array}{l} \mathbf{if}\;x \leq -108000 \lor \neg \left(x \leq -3.5 \cdot 10^{-29}\right) \land x \leq -1.7 \cdot 10^{-132}:\\ \;\;\;\;z \cdot x\\ \mathbf{else}:\\ \;\;\;\;z \cdot y\\ \end{array} \]

Alternative 2
Error	0.0
Cost	320

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

Alternative 3
Error	29.7
Cost	192

\[z \cdot y \]

Reproduce

herbie shell --seed 2022343 
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  :precision binary64
  (* (+ x y) z))