Average Error: 0.3 → 0.3
Time: 1.9s
Precision: binary64
Cost: 320
\[\frac{x}{y \cdot 3} \]
↓
\[\frac{x}{y \cdot 3} \]
(FPCore (x y) :precision binary64 (/ x (* y 3.0)))
↓
(FPCore (x y) :precision binary64 (/ x (* y 3.0)))
double code(double x, double y) {
	return x / (y * 3.0);
}
↓
double code(double x, double y) {
	return x / (y * 3.0);
}

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = x / (y * 3.0d0)
end function
↓
real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = x / (y * 3.0d0)
end function

public static double code(double x, double y) {
	return x / (y * 3.0);
}
↓
public static double code(double x, double y) {
	return x / (y * 3.0);
}

def code(x, y):
	return x / (y * 3.0)
↓
def code(x, y):
	return x / (y * 3.0)

function code(x, y)
	return Float64(x / Float64(y * 3.0))
end
↓
function code(x, y)
	return Float64(x / Float64(y * 3.0))
end

function tmp = code(x, y)
	tmp = x / (y * 3.0);
end
↓
function tmp = code(x, y)
	tmp = x / (y * 3.0);
end

code[x_, y_] := N[(x / N[(y * 3.0), $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_] := N[(x / N[(y * 3.0), $MachinePrecision]), $MachinePrecision]

\frac{x}{y \cdot 3}
↓
\frac{x}{y \cdot 3}

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0.3
Herbie0.3
\[\frac{\frac{x}{y}}{3} \]

Derivation

  1. Initial program 0.3

    \[\frac{x}{y \cdot 3} \]

  2. Final simplification0.3

    \[\leadsto \frac{x}{y \cdot 3} \]

Alternatives

Alternative 1
Error0.6
Cost320
\[\frac{0.3333333333333333}{\frac{y}{x}} \]
Alternative 2
Error0.3
Cost320
\[\frac{x \cdot 0.3333333333333333}{y} \]
Alternative 3
Error0.3
Cost320
\[\frac{\frac{x}{y}}{3} \]

Error

Reproduce

herbie shell --seed 2022291 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"
  :precision binary64

  :herbie-target
  (/ (/ x y) 3.0)

  (/ x (* y 3.0)))