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Expression of type Ceil

from the theory of proveit.physics.quantum.QPE

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import eps
from proveit.numbers import Add, Ceil, Log, Mult, frac, one, two
In [2]:
# build up the expression from sub-expressions
expr = Ceil(Log(two, Add(two, frac(one, Mult(two, eps)))))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left\lceil \textrm{log}_2\left(2 + \frac{1}{2 \cdot \epsilon}\right)\right\rceil
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operand: 3
1Literal
2ExprTuple3
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple16, 6
6Operationoperator: 7
operands: 8
7Literal
8ExprTuple16, 9
9Operationoperator: 10
operands: 11
10Literal
11ExprTuple12, 13
12Literal
13Operationoperator: 14
operands: 15
14Literal
15ExprTuple16, 17
16Literal
17Variable