Lobster

Lobster : Homomorphic Evaluation Circuit Optimizer by Program Synthesis and Term Rewriting

Build on Linux

Requirements

• flex 2.6.4
• bison 3.0.4
• Opam 2.0.4(with Ocaml 4.10.0)
  • ocamlfind 1.8.1
  • ocamlbuild 0.14.0
  • ocamlgraph 1.8.8
  • batteries 3.0.0
• cmake 3.10.2

sudo apt-get install opam cmake flex bison
opam init
eval `opam config env`
opam install ocamlfind ocamlgraph batteries

Build

$ ./build.sh

Data description

• circuit_rewriting/paper_bench : Benchmarks from Cingulata, Hackers Delight, Sorting Algorithm (Table 1)
• circuit_rewriting/paper_cases/all_cases : Machine-found aggresive optimization patterns by offline-learning (Section 4.2)
• circuit_rewriting/paper_cases/leave... : Optimization patterns for leave-one-out cross validation (Section 5.2)
• homomorphic_evaluation/mc_parser/paper_bench : Original/Opted benchmarks by Lobster and Carpov.et.al

Reproducing the experimental results in the paper

# Table 2, Column xDepth
$ ./gen_table_rewriting.sh

# Table 2, Column Eval.Time
$ ./gen_table_eval_time.sh

# Fig 5, syntactic matching result
$ ./gen_table_syntactic.sh

Optimize single homomorphic circuit

# Lobster
$ cd circuit_rewriting
$ ./main.native [ input circuit file(*.eqn) ] [ optimization patterns file(paper_cases/*) ]
# Carpov.et.al
$ cd baseline
$ ./main.native [ input circuit file(*.eqn) ] baseline_cases

Evaluate single homomorphic circuit

$ cd homomorphic_evaluation/mc_parser
$ ./he_base [ input circuit file(*.eqn) ] [ multiplicative depth ]