?

Average Error: 0.3 → 0.2
Time: 5.4s
Precision: binary64
Cost: 192

?

\[-1.79 \cdot 10^{+308} \leq x \land x \leq 1.79 \cdot 10^{+308}\]
\[\frac{x \cdot 2.56}{1.32} \]
↓
\[\frac{x}{0.515625} \]
(FPCore (x) :precision binary64 (/ (* x 2.56) 1.32))
↓
(FPCore (x) :precision binary64 (/ x 0.515625))
double code(double x) {
	return (x * 2.56) / 1.32;
}
↓
double code(double x) {
	return x / 0.515625;
}

real(8) function code(x)
    real(8), intent (in) :: x
    code = (x * 2.56d0) / 1.32d0
end function
↓
real(8) function code(x)
    real(8), intent (in) :: x
    code = x / 0.515625d0
end function

public static double code(double x) {
	return (x * 2.56) / 1.32;
}
↓
public static double code(double x) {
	return x / 0.515625;
}

def code(x):
	return (x * 2.56) / 1.32
↓
def code(x):
	return x / 0.515625

function code(x)
	return Float64(Float64(x * 2.56) / 1.32)
end
↓
function code(x)
	return Float64(x / 0.515625)
end

function tmp = code(x)
	tmp = (x * 2.56) / 1.32;
end
↓
function tmp = code(x)
	tmp = x / 0.515625;
end

code[x_] := N[(N[(x * 2.56), $MachinePrecision] / 1.32), $MachinePrecision]
↓
code[x_] := N[(x / 0.515625), $MachinePrecision]

\frac{x \cdot 2.56}{1.32}
↓
\frac{x}{0.515625}

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 0.3

    \[\frac{x \cdot 2.56}{1.32} \]

  2. Simplified0.2

    \[\leadsto \color{blue}{\frac{x}{0.515625}} \]
    Proof

    [Start]0.3

    \[ \frac{x \cdot 2.56}{1.32} \]

    associate-/l* [=>]0.2

    \[ \color{blue}{\frac{x}{\frac{1.32}{2.56}}} \]

    metadata-eval [=>]0.2

    \[ \frac{x}{\color{blue}{0.515625}} \]

  3. Final simplification0.2

    \[\leadsto \frac{x}{0.515625} \]

Reproduce?

herbie shell --seed 1 
(FPCore (x)
  :name "x * 2.56 / 1.32"
  :precision binary64
  :pre (and (<= -1.79e+308 x) (<= x 1.79e+308))
  (/ (* x 2.56) 1.32))