LaTeX to CAS translator

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This mockup demonstrates the concept of TeX to Computer Algebra System (CAS) conversion.

The demo-application converts LaTeX functions which directly translate to CAS counterparts.

Functions without explicit CAS support are available for translation via a DRMF package (under development).

The following LaTeX input ...

{\displaystyle 2^{4} = 2 \times2 \times 2 \times 2 = 16}

... is translated to the CAS output ...

Semantic latex: 2^{4} = 2 \times2 \times 2 \times 2 = 16

Confidence: 0

Mathematica

Translation: (2)^(4) == 2 * 2 * 2 * 2 == 16

Information

Sub Equations

  • (2)^(4) = 2 * 2 * 2 * 2
  • 2 * 2 * 2 * 2 = 16

Symbol info

  • was translated to: *

Tests

Symbolic

Test expression: ((2)^(4))-(2 * 2 * 2 * 2)

ERROR:

{
    "result": "ERROR",
    "testTitle": "Simple",
    "testExpression": null,
    "resultExpression": null,
    "wasAborted": false,
    "conditionallySuccessful": false
}

Test expression: (2 * 2 * 2 * 2)-(16)

ERROR:

{
    "result": "ERROR",
    "testTitle": "Simple",
    "testExpression": null,
    "resultExpression": null,
    "wasAborted": false,
    "conditionallySuccessful": false
}
Numeric

SymPy

Translation: (2)**(4) == 2 * 2 * 2 * 2 == 16

Information

Sub Equations

  • (2)**(4) = 2 * 2 * 2 * 2
  • 2 * 2 * 2 * 2 = 16

Symbol info

  • was translated to: *

Tests

Symbolic
Numeric

Maple

Translation: (2)^(4) = 2 * 2 * 2 * 2 = 16

Information

Sub Equations

  • (2)^(4) = 2 * 2 * 2 * 2
  • 2 * 2 * 2 * 2 = 16

Symbol info

  • was translated to: *

Tests

Symbolic
Numeric

Dependency Graph Information

Includes

Description

  • time
  • TeX Source
  • Gold ID
  • Formula
  • link
  • times2

Complete translation information:

{
  "id" : "FORMULA_579837194f2124b255d579031524a91c",
  "formula" : "2^{4} = 2 \\times2 \\times 2 \\times 2 = 16",
  "semanticFormula" : "2^{4} = 2 \\times2 \\times 2 \\times 2 = 16",
  "confidence" : 0.0,
  "translations" : {
    "Mathematica" : {
      "translation" : "(2)^(4) == 2 * 2 * 2 * 2 == 16",
      "translationInformation" : {
        "subEquations" : [ "(2)^(4) = 2 * 2 * 2 * 2", "2 * 2 * 2 * 2 = 16" ],
        "tokenTranslations" : {
          "\\times" : "was translated to: *"
        }
      },
      "numericResults" : {
        "overallResult" : "SKIPPED",
        "numberOfTests" : 0,
        "numberOfFailedTests" : 0,
        "numberOfSuccessfulTests" : 0,
        "numberOfSkippedTests" : 0,
        "numberOfErrorTests" : 0,
        "wasAborted" : false,
        "crashed" : false,
        "testCalculationsGroups" : [ ]
      },
      "symbolicResults" : {
        "overallResult" : "ERROR",
        "numberOfTests" : 2,
        "numberOfFailedTests" : 0,
        "numberOfSuccessfulTests" : 0,
        "numberOfSkippedTests" : 0,
        "numberOfErrorTests" : 2,
        "crashed" : false,
        "testCalculationsGroup" : [ {
          "lhs" : "(2)^(4)",
          "rhs" : "2 * 2 * 2 * 2",
          "testExpression" : "((2)^(4))-(2 * 2 * 2 * 2)",
          "testCalculations" : [ {
            "result" : "ERROR",
            "testTitle" : "Simple",
            "testExpression" : null,
            "resultExpression" : null,
            "wasAborted" : false,
            "conditionallySuccessful" : false
          } ]
        }, {
          "lhs" : "2 * 2 * 2 * 2",
          "rhs" : "16",
          "testExpression" : "(2 * 2 * 2 * 2)-(16)",
          "testCalculations" : [ {
            "result" : "ERROR",
            "testTitle" : "Simple",
            "testExpression" : null,
            "resultExpression" : null,
            "wasAborted" : false,
            "conditionallySuccessful" : false
          } ]
        } ]
      }
    },
    "SymPy" : {
      "translation" : "(2)**(4) == 2 * 2 * 2 * 2 == 16",
      "translationInformation" : {
        "subEquations" : [ "(2)**(4) = 2 * 2 * 2 * 2", "2 * 2 * 2 * 2 = 16" ],
        "tokenTranslations" : {
          "\\times" : "was translated to: *"
        }
      }
    },
    "Maple" : {
      "translation" : "(2)^(4) = 2 * 2 * 2 * 2 = 16",
      "translationInformation" : {
        "subEquations" : [ "(2)^(4) = 2 * 2 * 2 * 2", "2 * 2 * 2 * 2 = 16" ],
        "tokenTranslations" : {
          "\\times" : "was translated to: *"
        }
      }
    }
  },
  "positions" : [ {
    "section" : 1,
    "sentence" : 0,
    "word" : 8
  } ],
  "includes" : [ "2^{4} = 2", "2 = 16" ],
  "isPartOf" : [ ],
  "definiens" : [ {
    "definition" : "time",
    "score" : 0.7936682821800771
  }, {
    "definition" : "TeX Source",
    "score" : 0.722
  }, {
    "definition" : "Gold ID",
    "score" : 0.6954080343007951
  }, {
    "definition" : "Formula",
    "score" : 0.6687181434333315
  }, {
    "definition" : "link",
    "score" : 0.6687181434333315
  }, {
    "definition" : "times2",
    "score" : 0.6687181434333315
  } ]
}

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