LaTeX to CAS translator
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 F(x) = \frac{x}{2 x^2 - 1},}
... is translated to the CAS output ...
Semantic latex: F(x) = \frac{x}{2 x^2 - 1}
Confidence: 0
Mathematica
Translation: F[x] == Divide[x,2*(x)^(2)- 1]
Information
Sub Equations
- F[x] = Divide[x,2*(x)^(2)- 1]
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Test expression: (F*(x))-(Divide[x,2*(x)^(2)- 1])
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: F(x) == (x)/(2*(x)**(2)- 1)
Information
Sub Equations
- F(x) = (x)/(2*(x)**(2)- 1)
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Maple
Translation: F(x) = (x)/(2*(x)^(2)- 1)
Information
Sub Equations
- F(x) = (x)/(2*(x)^(2)- 1)
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- Inflection point
Complete translation information:
{
"id" : "FORMULA_3c38c2056a9429d677911f34bb2c7d08",
"formula" : "F(x) = \\frac{x}{2 x^2 - 1}",
"semanticFormula" : "F(x) = \\frac{x}{2 x^2 - 1}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "F[x] == Divide[x,2*(x)^(2)- 1]",
"translationInformation" : {
"subEquations" : [ "F[x] = Divide[x,2*(x)^(2)- 1]" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "ERROR",
"numberOfTests" : 1,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 1,
"crashed" : false,
"testCalculationsGroup" : [ {
"lhs" : "F*(x)",
"rhs" : "Divide[x,2*(x)^(2)- 1]",
"testExpression" : "(F*(x))-(Divide[x,2*(x)^(2)- 1])",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "F(x) == (x)/(2*(x)**(2)- 1)",
"translationInformation" : {
"subEquations" : [ "F(x) = (x)/(2*(x)**(2)- 1)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
}
},
"Maple" : {
"translation" : "F(x) = (x)/(2*(x)^(2)- 1)",
"translationInformation" : {
"subEquations" : [ "F(x) = (x)/(2*(x)^(2)- 1)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
}
}
},
"positions" : [ {
"section" : 1,
"sentence" : 12,
"word" : 4
} ],
"includes" : [ "x", "F(x)", "F(y)" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "Inflection point",
"score" : 0.6687181434333315
} ]
}