Scalar and vector adjoint algorithmic differentiation (AAD)
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TapeScript is an open source library for adjoint algorithmic differentiation (AAD) developed and maintained by CompatibL. It can be downloaded from and used free of charge in academic or commercial applications.

TapeScript supports vector AAD (tape compression), an approach in which each slot of the calculation record (AAD tape) can store not only a single double number, but also an entire array of values. Vector AAD can lead to performance gain of several orders of magnitude due to the reduction of tape size.

TapeScript features:

  • Scalar AAD
  • Vector AAD (tape compression)
  • APIs for C++, C#, and Java
  • Complex numbers
  • Works with Boost and QuantLib
  • Multithreading support

Performance test results and finance-specific examples are available at

About CompatibL

CompatibL ( offers turnkey solutions for XVA and regulatory capital as well as custom development, integration, and consultancy.

Check out TapeLib, CompatibL's product suite for AAD that incorporates:

  • A C++ library extending TapeScript with features specific to quantitative finance
  • An application platform for interactive AAD

TapeLib features:

  • Document database preserving AAD data
  • Tape database
  • Finance-specific atomics including adjointable AMC
  • User defined atomics
  • Tape cutting and splicing
  • Parallel tape execution
  • Specialized gate checking API
  • Excel addin, desktop and client