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Wolfram Language & System Documentation Center
Evaluation Control
  • Functions
    • Activate
    • Defer
    • Delete
    • DisableFormatting
    • Dynamic
    • Evaluate
    • Evaluator
    • Extract
    • Hold
    • HoldAll
    • HoldAllComplete
    • HoldComplete
    • HoldCompleteForm
    • HoldFirst
    • HoldForm
    • HoldPattern
    • HoldRest
    • IgnoringInactive
    • Inactivate
    • Inactive
    • MemoryConstrained
    • NHoldAll
    • NHoldFirst
    • NHoldRest
    • Position
    • Refresh
    • ReleaseHold
    • ReplaceAll
    • ReplacePart
    • SequenceHold
    • TerminatedEvaluation
    • TimeConstrained
    • ToExpression
    • ToString
    • Unevaluated
    • Update
    • With
  • Related Guides
    • Attributes
    • Asynchronous Tasks
  • Tech Notes
    • The Standard Evaluation Procedure
    • Evaluation
    • Non-standard Evaluation
    • Attributes
    • Controlling Numerical Evaluation
    • Functions
      • Activate
      • Defer
      • Delete
      • DisableFormatting
      • Dynamic
      • Evaluate
      • Evaluator
      • Extract
      • Hold
      • HoldAll
      • HoldAllComplete
      • HoldComplete
      • HoldCompleteForm
      • HoldFirst
      • HoldForm
      • HoldPattern
      • HoldRest
      • IgnoringInactive
      • Inactivate
      • Inactive
      • MemoryConstrained
      • NHoldAll
      • NHoldFirst
      • NHoldRest
      • Position
      • Refresh
      • ReleaseHold
      • ReplaceAll
      • ReplacePart
      • SequenceHold
      • TerminatedEvaluation
      • TimeConstrained
      • ToExpression
      • ToString
      • Unevaluated
      • Update
      • With
    • Related Guides
      • Attributes
      • Asynchronous Tasks
    • Tech Notes
      • The Standard Evaluation Procedure
      • Evaluation
      • Non-standard Evaluation
      • Attributes
      • Controlling Numerical Evaluation
GUIDE
  • Functions
    • Activate
    • Defer
    • Delete
    • DisableFormatting
    • Dynamic
    • Evaluate
    • Evaluator
    • Extract
    • Hold
    • HoldAll
    • HoldAllComplete
    • HoldComplete
    • HoldCompleteForm
    • HoldFirst
    • HoldForm
    • HoldPattern
    • HoldRest
    • IgnoringInactive
    • Inactivate
    • Inactive
    • MemoryConstrained
    • NHoldAll
    • NHoldFirst
    • NHoldRest
    • Position
    • Refresh
    • ReleaseHold
    • ReplaceAll
    • ReplacePart
    • SequenceHold
    • TerminatedEvaluation
    • TimeConstrained
    • ToExpression
    • ToString
    • Unevaluated
    • Update
    • With
  • Related Guides
    • Attributes
    • Asynchronous Tasks
  • Tech Notes
    • The Standard Evaluation Procedure
    • Evaluation
    • Non-standard Evaluation
    • Attributes
    • Controlling Numerical Evaluation
    • Functions
      • Activate
      • Defer
      • Delete
      • DisableFormatting
      • Dynamic
      • Evaluate
      • Evaluator
      • Extract
      • Hold
      • HoldAll
      • HoldAllComplete
      • HoldComplete
      • HoldCompleteForm
      • HoldFirst
      • HoldForm
      • HoldPattern
      • HoldRest
      • IgnoringInactive
      • Inactivate
      • Inactive
      • MemoryConstrained
      • NHoldAll
      • NHoldFirst
      • NHoldRest
      • Position
      • Refresh
      • ReleaseHold
      • ReplaceAll
      • ReplacePart
      • SequenceHold
      • TerminatedEvaluation
      • TimeConstrained
      • ToExpression
      • ToString
      • Unevaluated
      • Update
      • With
    • Related Guides
      • Attributes
      • Asynchronous Tasks
    • Tech Notes
      • The Standard Evaluation Procedure
      • Evaluation
      • Non-standard Evaluation
      • Attributes
      • Controlling Numerical Evaluation

Evaluation Control

The Wolfram Language normally takes any expression it is given, and evaluates it as far as possible. But built into the Wolfram Language is a collection of flexible primitives that allow finer control over the process of evaluation in cases where it is needed.

Evaluation Control for Complete Expressions

Hold — hold an expression unevaluated

HoldForm, HoldCompleteForm — display an expression in unevaluated form

Defer — display unevaluated, but evaluate if given as Wolfram Language input

Evaluation Control for Function Arguments

HoldAll, HoldFirst, HoldRest — attributes for specifying held function arguments

Evaluate — immediately evaluate a function argument

Unevaluated — pass a function argument unevaluated

More Detailed Control

ReleaseHold — release hold constructs

HoldComplete  ▪  HoldPattern  ▪  HoldAllComplete  ▪  SequenceHold  ▪  Update

NHoldAll, NHoldFirst, NHoldRest — prevent numerical evaluation of arguments

Manipulating Unevaluated Expressions

With — insert variable values without evaluation

Extract — extract numbered parts without evaluation

Keys, Values — extract keys and values without evaluation

ReplaceAll(/.)  ▪  ReplacePart  ▪  Delete  ▪  Position

ToString, ToExpression — convert to and from string form

Global Evaluation Control

$IterationLimit  ▪  $RecursionLimit  ▪  TerminatedEvaluation

Resource Constraints

TimeConstrained  ▪  MemoryConstrained

Evaluation in Notebooks

Dynamic  ▪  Refresh  ▪  Evaluator

Inactivated Expressions

Inactivate — inactivate all parts of an expression, printing them in gray

Activate — re-activate part of an expression

Inactive — wrapper to put around every symbol in an inactive expression

IgnoringInactive — pattern match ignore inactive wrappers

DisableFormatting — prevent the formatting of held expressions

Related Tech Notes

    ▪
  • The Standard Evaluation Procedure
  • ▪
  • Evaluation
  • ▪
  • Non-standard Evaluation
  • ▪
  • Attributes
  • ▪
  • Controlling Numerical Evaluation

Related Guides

    ▪
  • Attributes
  • ▪
  • Asynchronous Tasks
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