Main:bigenough1 from B

Average Error: 0.0 → 0.0

Time: 3.1s

Precision: binary64

Cost: 320

Math

\[x + x \cdot x \]

↓

\[\left(x + 1\right) \cdot x \]

FPCore

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

↓

(FPCore (x) :precision binary64 (* (+ x 1.0) x))

C

double code(double x) {
	return x + (x * x);
}

↓

double code(double x) {
	return (x + 1.0) * x;
}

Fortran

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

↓

real(8) function code(x)
    real(8), intent (in) :: x
    code = (x + 1.0d0) * x
end function

Java

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

↓

public static double code(double x) {
	return (x + 1.0) * x;
}

Python

def code(x):
	return x + (x * x)

↓

def code(x):
	return (x + 1.0) * x

Julia

function code(x)
	return Float64(x + Float64(x * x))
end

↓

function code(x)
	return Float64(Float64(x + 1.0) * x)
end

MATLAB

function tmp = code(x)
	tmp = x + (x * x);
end

↓

function tmp = code(x)
	tmp = (x + 1.0) * x;
end

Wolfram

code[x_] := N[(x + N[(x * x), $MachinePrecision]), $MachinePrecision]

↓

code[x_] := N[(N[(x + 1.0), $MachinePrecision] * x), $MachinePrecision]

Derivation

1. Initial program 0.0

   \[x + x \cdot x \]

2. Applied egg-rr 0.0

   \[\leadsto \color{blue}{\left(x + 1\right) \cdot x} \]

3. Final simplification 0.0

   \[\leadsto \left(x + 1\right) \cdot x \]

Alternatives

Alternative 1
Error	21.2
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023074 
(FPCore (x)
  :name "Main:bigenough1 from B"
  :precision binary64
  (+ x (* x x)))