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feat(decompile): resolve external calls, simplify internal logic around external calls #507

Merged
merged 18 commits into from
Dec 7, 2024
Merged

feat(decompile): resolve external calls, simplify internal logic around external calls #507

merged 18 commits into from
Dec 7, 2024

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Jon-Becker
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Motivation

Closes #206

Solution

@Jon-Becker Jon-Becker marked this pull request as draft October 12, 2024 20:29
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Benchmark for ec053eb

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Test Base PR %
heimdall_cfg/complex 14.1±2.12ms 14.1±0.80ms 0.00%
heimdall_cfg/simple 2.1±0.04ms 2.2±0.03ms +4.76%
heimdall_decoder/seaport 38.4±1.53µs 39.5±0.67µs +2.86%
heimdall_decoder/transfer 2.9±0.18µs 2.9±0.23µs 0.00%
heimdall_decoder/uniswap 11.4±0.35µs 11.3±0.43µs -0.88%
heimdall_decompiler/abi_complex 59.4±0.53ms 59.7±0.66ms +0.51%
heimdall_decompiler/abi_simple 2.2±0.01ms 2.2±0.01ms 0.00%
heimdall_decompiler/sol_complex 69.1±0.65ms 69.8±0.73ms +1.01%
heimdall_decompiler/sol_simple 2.6±0.20ms 2.6±0.01ms 0.00%
heimdall_decompiler/yul_complex 61.6±0.60ms 62.4±0.90ms +1.30%
heimdall_decompiler/yul_simple 2.3±0.01ms 2.3±0.01ms 0.00%
heimdall_disassembler/complex 876.6±20.05µs 884.1±29.45µs +0.86%
heimdall_disassembler/simple 42.7±1.05µs 42.8±1.62µs +0.23%
heimdall_vm/erc20_transfer 333.1±8.13µs 342.8±28.63µs +2.91%
heimdall_vm/fib 817.7±8.38µs 853.1±46.87µs +4.33%
heimdall_vm/ten_thousand_hashes 5.1±0.07s 4.7±0.08s -7.84%

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Benchmark for 6fb4104

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Test Base PR %
heimdall_cfg/complex 15.5±0.87ms 14.9±0.58ms -3.87%
heimdall_cfg/simple 2.3±0.10ms 2.3±0.14ms 0.00%
heimdall_decoder/seaport 43.0±4.12µs 44.4±4.91µs +3.26%
heimdall_decoder/transfer 2.9±0.13µs 3.2±0.56µs +10.34%
heimdall_decoder/uniswap 12.4±0.78µs 12.4±1.54µs 0.00%
heimdall_decompiler/abi_complex 62.0±3.55ms 63.5±1.86ms +2.42%
heimdall_decompiler/abi_simple 2.3±0.08ms 2.4±0.04ms +4.35%
heimdall_decompiler/sol_complex 71.2±1.18ms 75.3±3.94ms +5.76%
heimdall_decompiler/sol_simple 2.7±0.03ms 2.7±0.03ms 0.00%
heimdall_decompiler/yul_complex 64.6±3.09ms 68.0±2.95ms +5.26%
heimdall_decompiler/yul_simple 2.5±0.06ms 2.5±0.06ms 0.00%
heimdall_disassembler/complex 1008.1±43.30µs 1031.1±66.71µs +2.28%
heimdall_disassembler/simple 50.0±4.09µs 50.2±2.99µs +0.40%
heimdall_vm/erc20_transfer 360.5±17.18µs 366.1±22.93µs +1.55%
heimdall_vm/fib 842.0±27.48µs 894.3±36.32µs +6.21%
heimdall_vm/ten_thousand_hashes 5.2±0.15s 5.2±0.10s 0.00%

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Benchmark for 9897338

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Test Base PR %
heimdall_cfg/complex 14.8±0.83ms 15.6±1.40ms +5.41%
heimdall_cfg/simple 2.3±0.10ms 2.2±0.14ms -4.35%
heimdall_decoder/seaport 45.8±5.43µs 45.4±6.62µs -0.87%
heimdall_decoder/transfer 2.9±0.37µs 3.0±0.39µs +3.45%
heimdall_decoder/uniswap 13.2±2.99µs 12.7±1.62µs -3.79%
heimdall_decompiler/abi_complex 67.0±3.36ms 64.0±3.03ms -4.48%
heimdall_decompiler/abi_simple 2.4±0.09ms 2.4±0.04ms 0.00%
heimdall_decompiler/sol_complex 80.4±3.95ms 73.9±3.53ms -8.08%
heimdall_decompiler/sol_simple 2.8±0.17ms 2.7±0.11ms -3.57%
heimdall_decompiler/yul_complex 74.3±6.21ms 67.6±4.16ms -9.02%
heimdall_decompiler/yul_simple 2.6±0.22ms 2.4±0.14ms -7.69%
heimdall_disassembler/complex 1081.3±127.53µs 1037.7±91.37µs -4.03%
heimdall_disassembler/simple 54.6±14.59µs 50.7±4.31µs -7.14%
heimdall_vm/erc20_transfer 354.8±18.75µs 361.0±27.68µs +1.75%
heimdall_vm/fib 846.6±44.95µs 827.4±18.54µs -2.27%
heimdall_vm/ten_thousand_hashes 5.3±0.06s 5.3±0.14s 0.00%

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github-actions bot commented Nov 4, 2024

Benchmark for 9915c0c

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Test Base PR %
heimdall_cfg/complex 15.4±0.84ms 14.7±0.29ms -4.55%
heimdall_cfg/simple 2.2±0.05ms 2.3±0.04ms +4.55%
heimdall_decoder/seaport 41.5±3.31µs 39.7±1.70µs -4.34%
heimdall_decoder/transfer 3.1±0.36µs 2.7±0.26µs -12.90%
heimdall_decoder/uniswap 12.2±1.46µs 11.5±0.73µs -5.74%
heimdall_decompiler/abi_complex 70.0±4.00ms 68.2±7.19ms -2.57%
heimdall_decompiler/abi_simple 2.5±0.24ms 2.6±0.34ms +4.00%
heimdall_decompiler/sol_complex 84.4±5.44ms 83.8±12.09ms -0.71%
heimdall_decompiler/sol_simple 2.9±0.20ms 3.6±0.10ms +24.14%
heimdall_decompiler/yul_complex 72.7±7.02ms 64.3±3.37ms -11.55%
heimdall_decompiler/yul_simple 2.4±0.03ms 2.3±0.01ms -4.17%
heimdall_disassembler/complex 1085.8±151.61µs 1001.7±105.10µs -7.75%
heimdall_disassembler/simple 55.3±8.36µs 50.7±7.40µs -8.32%
heimdall_vm/erc20_transfer 379.3±38.77µs 363.3±36.18µs -4.22%
heimdall_vm/fib 885.1±46.61µs 885.0±25.09µs -0.01%
heimdall_vm/ten_thousand_hashes 5.5±0.14s 5.5±0.14s 0.00%

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github-actions bot commented Nov 7, 2024

Benchmark for 6c7dad5

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Test Base PR %
heimdall_cfg/complex 14.7±0.21ms 14.6±0.92ms -0.68%
heimdall_cfg/simple 2.2±0.01ms 2.3±0.03ms +4.55%
heimdall_decoder/seaport 41.8±3.67µs 42.6±2.98µs +1.91%
heimdall_decoder/transfer 2.7±0.24µs 3.0±0.29µs +11.11%
heimdall_decoder/uniswap 11.8±0.71µs 12.2±0.93µs +3.39%
heimdall_decompiler/abi_complex 64.9±1.33ms 60.6±0.93ms -6.63%
heimdall_decompiler/abi_simple 2.4±0.08ms 2.3±0.04ms -4.17%
heimdall_decompiler/sol_complex 76.1±1.90ms 78.4±1.41ms +3.02%
heimdall_decompiler/sol_simple 2.7±0.03ms 3.5±0.05ms +29.63%
heimdall_decompiler/yul_complex 66.8±3.28ms 63.1±1.67ms -5.54%
heimdall_decompiler/yul_simple 2.4±0.06ms 2.3±0.02ms -4.17%
heimdall_disassembler/complex 1009.2±85.85µs 944.9±61.79µs -6.37%
heimdall_disassembler/simple 49.3±3.54µs 45.7±2.90µs -7.30%
heimdall_vm/erc20_transfer 369.9±31.61µs 354.9±14.13µs -4.06%
heimdall_vm/fib 871.8±12.00µs 875.5±12.91µs +0.42%
heimdall_vm/ten_thousand_hashes 5.4±0.25s 5.0±0.14s -7.41%

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Benchmark for 2d8e2e4

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Test Base PR %
heimdall_cfg/complex 14.1±0.12ms 16.4±1.44ms +16.31%
heimdall_cfg/simple 2.2±0.04ms 2.3±0.10ms +4.55%
heimdall_decoder/seaport 40.3±1.98µs 41.7±2.95µs +3.47%
heimdall_decoder/transfer 2.9±0.34µs 2.8±0.17µs -3.45%
heimdall_decoder/uniswap 11.8±0.59µs 12.1±1.04µs +2.54%
heimdall_decompiler/abi_complex 61.8±1.82ms 69.0±3.93ms +11.65%
heimdall_decompiler/abi_simple 2.3±0.01ms 2.4±0.05ms +4.35%
heimdall_decompiler/sol_complex 70.2±0.39ms 92.2±5.21ms +31.34%
heimdall_decompiler/sol_simple 2.6±0.01ms 4.1±0.42ms +57.69%
heimdall_decompiler/yul_complex 63.0±0.56ms 67.4±6.78ms +6.98%
heimdall_decompiler/yul_simple 2.4±0.03ms 2.4±0.09ms 0.00%
heimdall_disassembler/complex 926.1±62.16µs 1049.1±105.07µs +13.28%
heimdall_disassembler/simple 46.6±3.14µs 52.8±5.89µs +13.30%
heimdall_vm/erc20_transfer 345.2±8.60µs 378.5±29.37µs +9.65%
heimdall_vm/fib 852.9±12.60µs 861.6±37.64µs +1.02%
heimdall_vm/ten_thousand_hashes 5.3±0.11s 5.2±0.05s -1.89%

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Benchmark for 8aa3eb0

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Test Base PR %
heimdall_cfg/complex 14.3±0.10ms 14.9±0.87ms +4.20%
heimdall_cfg/simple 2.2±0.01ms 2.2±0.10ms 0.00%
heimdall_decoder/seaport 40.4±1.11µs 41.6±2.24µs +2.97%
heimdall_decoder/transfer 2.8±0.23µs 3.0±0.26µs +7.14%
heimdall_decoder/uniswap 11.5±0.51µs 11.8±1.13µs +2.61%
heimdall_decompiler/abi_complex 61.0±7.10ms 60.1±0.44ms -1.48%
heimdall_decompiler/abi_simple 2.2±0.01ms 2.3±0.01ms +4.55%
heimdall_decompiler/sol_complex 70.1±0.49ms 77.3±0.68ms +10.27%
heimdall_decompiler/sol_simple 2.6±0.02ms 3.5±0.07ms +34.62%
heimdall_decompiler/yul_complex 63.7±0.61ms 65.3±1.04ms +2.51%
heimdall_decompiler/yul_simple 2.4±0.01ms 2.4±0.01ms 0.00%
heimdall_disassembler/complex 913.0±27.19µs 945.6±28.44µs +3.57%
heimdall_disassembler/simple 44.4±1.12µs 46.0±2.15µs +3.60%
heimdall_vm/erc20_transfer 336.9±11.41µs 343.5±11.25µs +1.96%
heimdall_vm/fib 829.8±10.61µs 857.0±8.21µs +3.28%
heimdall_vm/ten_thousand_hashes 5.2±0.13s 5.2±0.07s 0.00%

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Benchmark for 3ecd9e1

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Test Base PR %
heimdall_cfg/complex 13.7±0.06ms 14.4±0.06ms +5.11%
heimdall_cfg/simple 2.1±0.01ms 2.2±0.13ms +4.76%
heimdall_decoder/seaport 40.1±1.38µs 39.0±0.96µs -2.74%
heimdall_decoder/transfer 2.9±0.22µs 2.7±0.16µs -6.90%
heimdall_decoder/uniswap 11.4±0.36µs 11.3±0.32µs -0.88%
heimdall_decompiler/abi_complex 57.9±0.40ms 58.2±0.30ms +0.52%
heimdall_decompiler/abi_simple 2.3±0.01ms 2.3±0.02ms 0.00%
heimdall_decompiler/sol_complex 69.7±0.45ms 76.8±0.42ms +10.19%
heimdall_decompiler/sol_simple 2.6±0.01ms 3.4±0.03ms +30.77%
heimdall_decompiler/yul_complex 62.4±0.50ms 62.0±0.46ms -0.64%
heimdall_decompiler/yul_simple 2.3±0.01ms 2.3±0.01ms 0.00%
heimdall_disassembler/complex 908.1±19.46µs 899.9±19.18µs -0.90%
heimdall_disassembler/simple 44.4±2.19µs 44.3±1.06µs -0.23%
heimdall_vm/erc20_transfer 351.4±11.00µs 345.5±7.63µs -1.68%
heimdall_vm/fib 841.9±8.00µs 829.9±7.78µs -1.43%
heimdall_vm/ten_thousand_hashes 5.0±0.04s 4.7±0.12s -6.00%

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Benchmark for 8b244a5

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Test Base PR %
heimdall_cfg/complex 13.7±0.09ms 13.7±0.07ms 0.00%
heimdall_cfg/simple 2.0±0.01ms 2.1±0.01ms +5.00%
heimdall_decoder/seaport 33.2±0.67µs 32.6±0.86µs -1.81%
heimdall_decoder/transfer 3.4±0.20µs 3.5±0.22µs +2.94%
heimdall_decoder/uniswap 10.6±0.33µs 10.4±0.22µs -1.89%
heimdall_decompiler/abi_complex 55.9±0.47ms 51.8±0.30ms -7.33%
heimdall_decompiler/abi_simple 2.0±0.01ms 2.2±0.01ms +10.00%
heimdall_decompiler/sol_complex 63.6±0.57ms 67.3±0.38ms +5.82%
heimdall_decompiler/sol_simple 2.3±0.01ms 3.4±0.02ms +47.83%
heimdall_decompiler/yul_complex 57.8±0.63ms 54.2±0.37ms -6.23%
heimdall_decompiler/yul_simple 2.1±0.01ms 2.3±0.01ms +9.52%
heimdall_disassembler/complex 742.5±12.85µs 769.9±21.38µs +3.69%
heimdall_disassembler/simple 37.0±1.60µs 38.1±1.04µs +2.97%
heimdall_vm/erc20_transfer 277.6±5.37µs 346.5±15.17µs +24.82%
heimdall_vm/fib 689.3±6.07µs 744.6±15.26µs +8.02%
heimdall_vm/ten_thousand_hashes 524.4±30.20ms 513.6±4.61ms -2.06%

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github-actions bot commented Dec 6, 2024

Benchmark for 7e3bd36

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Test Base PR %
heimdall_cfg/complex 14.1±1.36ms 13.7±0.30ms -2.84%
heimdall_cfg/simple 2.0±0.08ms 2.1±0.07ms +5.00%
heimdall_decoder/seaport 35.3±2.66µs 35.4±2.42µs +0.28%
heimdall_decoder/transfer 3.8±0.32µs 3.7±0.35µs -2.63%
heimdall_decoder/uniswap 11.0±0.77µs 10.9±1.08µs -0.91%
heimdall_decompiler/abi_complex 53.7±2.31ms 56.6±2.51ms +5.40%
heimdall_decompiler/abi_simple 2.1±0.06ms 2.1±0.04ms 0.00%
heimdall_decompiler/sol_complex 65.5±1.04ms 72.0±1.84ms +9.92%
heimdall_decompiler/sol_simple 2.3±0.03ms 3.2±0.03ms +39.13%
heimdall_decompiler/yul_complex 62.9±2.73ms 55.5±3.10ms -11.76%
heimdall_decompiler/yul_simple 2.1±0.13ms 2.2±0.02ms +4.76%
heimdall_disassembler/complex 826.3±65.06µs 806.8±71.19µs -2.36%
heimdall_disassembler/simple 41.9±3.86µs 40.3±1.87µs -3.82%
heimdall_vm/erc20_transfer 293.6±21.23µs 298.9±16.20µs +1.81%
heimdall_vm/fib 720.3±21.09µs 688.3±31.66µs -4.44%
heimdall_vm/ten_thousand_hashes 545.0±32.27ms 545.5±27.60ms +0.09%

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github-actions bot commented Dec 6, 2024

Benchmark for d7a2fae

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Test Base PR %
heimdall_cfg/complex 13.6±0.07ms 13.9±0.61ms +2.21%
heimdall_cfg/simple 2.1±0.01ms 2.1±0.01ms 0.00%
heimdall_decoder/seaport 34.3±2.67µs 31.9±0.60µs -7.00%
heimdall_decoder/transfer 3.4±0.21µs 3.6±0.24µs +5.88%
heimdall_decoder/uniswap 10.4±0.62µs 10.4±0.56µs 0.00%
heimdall_decompiler/abi_complex 51.5±1.43ms 50.6±0.23ms -1.75%
heimdall_decompiler/abi_simple 2.1±0.01ms 2.1±0.01ms 0.00%
heimdall_decompiler/sol_complex 59.6±0.64ms 65.6±0.38ms +10.07%
heimdall_decompiler/sol_simple 2.4±0.03ms 3.3±0.02ms +37.50%
heimdall_decompiler/yul_complex 53.2±1.71ms 53.5±0.42ms +0.56%
heimdall_decompiler/yul_simple 2.1±0.08ms 2.2±0.01ms +4.76%
heimdall_disassembler/complex 788.9±21.55µs 810.0±24.29µs +2.67%
heimdall_disassembler/simple 36.7±2.78µs 40.3±1.15µs +9.81%
heimdall_vm/erc20_transfer 296.1±7.99µs 292.0±19.63µs -1.38%
heimdall_vm/fib 737.7±5.39µs 732.7±4.37µs -0.68%
heimdall_vm/ten_thousand_hashes 576.0±4.95ms 497.0±5.17ms -13.72%

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github-actions bot commented Dec 6, 2024

Benchmark for 28d9f6b

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Test Base PR %
heimdall_cfg/complex 14.2±0.22ms 14.6±0.18ms +2.82%
heimdall_cfg/simple 2.2±0.04ms 2.2±0.15ms 0.00%
heimdall_decoder/seaport 40.6±2.99µs 42.5±2.07µs +4.68%
heimdall_decoder/transfer 2.8±0.22µs 3.0±0.27µs +7.14%
heimdall_decoder/uniswap 11.7±0.75µs 11.6±0.51µs -0.85%
heimdall_decompiler/abi_complex 61.7±0.76ms 58.4±0.63ms -5.35%
heimdall_decompiler/abi_simple 2.3±0.01ms 2.3±0.05ms 0.00%
heimdall_decompiler/sol_complex 71.2±0.71ms 73.7±0.53ms +3.51%
heimdall_decompiler/sol_simple 2.6±0.01ms 2.9±0.03ms +11.54%
heimdall_decompiler/yul_complex 64.4±1.28ms 65.8±3.09ms +2.17%
heimdall_decompiler/yul_simple 2.4±0.01ms 2.4±0.01ms 0.00%
heimdall_disassembler/complex 938.0±79.86µs 943.4±37.12µs +0.58%
heimdall_disassembler/simple 45.2±1.58µs 44.1±2.63µs -2.43%
heimdall_vm/erc20_transfer 365.0±14.88µs 342.3±9.46µs -6.22%
heimdall_vm/fib 858.8±17.65µs 837.5±6.09µs -2.48%
heimdall_vm/ten_thousand_hashes 5.2±0.07s 5.1±0.17s -1.92%

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github-actions bot commented Dec 7, 2024

Benchmark for 3f8f030

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Test Base PR %
heimdall_cfg/complex 14.5±1.01ms 14.2±0.44ms -2.07%
heimdall_cfg/simple 2.2±0.01ms 2.2±0.01ms 0.00%
heimdall_decoder/seaport 39.3±1.17µs 39.8±1.09µs +1.27%
heimdall_decoder/transfer 2.7±0.18µs 2.8±0.22µs +3.70%
heimdall_decoder/uniswap 11.5±0.61µs 11.6±0.57µs +0.87%
heimdall_decompiler/abi_complex 61.1±1.29ms 64.4±3.02ms +5.40%
heimdall_decompiler/abi_simple 2.2±0.01ms 2.4±0.09ms +9.09%
heimdall_decompiler/sol_complex 71.0±1.49ms 76.7±1.68ms +8.03%
heimdall_decompiler/sol_simple 2.6±0.01ms 2.9±0.12ms +11.54%
heimdall_decompiler/yul_complex 63.9±4.29ms 67.0±5.16ms +4.85%
heimdall_decompiler/yul_simple 2.3±0.01ms 2.4±0.25ms +4.35%
heimdall_disassembler/complex 922.5±30.44µs 1010.5±84.60µs +9.54%
heimdall_disassembler/simple 44.8±1.83µs 48.6±3.58µs +8.48%
heimdall_vm/erc20_transfer 353.9±8.47µs 362.8±16.85µs +2.51%
heimdall_vm/fib 848.7±20.05µs 866.7±12.51µs +2.12%
heimdall_vm/ten_thousand_hashes 5.4±0.14s 5.1±0.06s -5.56%

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github-actions bot commented Dec 7, 2024

Benchmark for 5ed7d13

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Test Base PR %
heimdall_cfg/complex 13.7±0.07ms 12.9±0.19ms -5.84%
heimdall_cfg/simple 2.1±0.01ms 1929.6±13.55µs -8.11%
heimdall_decoder/seaport 32.3±1.10µs 34.7±2.11µs +7.43%
heimdall_decoder/transfer 3.7±0.28µs 3.6±0.30µs -2.70%
heimdall_decoder/uniswap 10.5±0.71µs 10.7±0.33µs +1.90%
heimdall_decompiler/abi_complex 54.8±0.62ms 50.4±0.20ms -8.03%
heimdall_decompiler/abi_simple 1987.1±8.22µs 2.1±0.01ms +5.68%
heimdall_decompiler/sol_complex 62.7±0.53ms 61.2±0.39ms -2.39%
heimdall_decompiler/sol_simple 2.3±0.01ms 2.6±0.01ms +13.04%
heimdall_decompiler/yul_complex 56.9±0.76ms 56.9±0.82ms 0.00%
heimdall_decompiler/yul_simple 2.1±0.01ms 2.1±0.02ms 0.00%
heimdall_disassembler/complex 731.1±19.03µs 740.7±17.43µs +1.31%
heimdall_disassembler/simple 36.6±1.27µs 37.3±1.13µs +1.91%
heimdall_vm/erc20_transfer 295.5±7.79µs 273.5±5.32µs -7.45%
heimdall_vm/fib 673.5±6.87µs 708.2±5.74µs +5.15%
heimdall_vm/ten_thousand_hashes 507.5±4.67ms 503.3±4.21ms -0.83%

@Jon-Becker Jon-Becker marked this pull request as ready for review December 7, 2024 19:12
@Jon-Becker Jon-Becker merged commit 555f7a2 into main Dec 7, 2024
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github-actions bot commented Dec 7, 2024

Benchmark for 4409e11

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Test Base PR %
heimdall_cfg/complex 14.4±0.14ms 14.6±0.47ms +1.39%
heimdall_cfg/simple 2.2±0.03ms 2.2±0.02ms 0.00%
heimdall_decoder/seaport 39.9±1.21µs 39.5±1.01µs -1.00%
heimdall_decoder/transfer 2.8±0.16µs 2.9±0.22µs +3.57%
heimdall_decoder/uniswap 11.2±0.18µs 11.5±0.77µs +2.68%
heimdall_decompiler/abi_complex 59.8±0.71ms 60.4±1.01ms +1.00%
heimdall_decompiler/abi_simple 2.2±0.01ms 2.2±0.01ms 0.00%
heimdall_decompiler/sol_complex 73.0±1.37ms 73.6±1.18ms +0.82%
heimdall_decompiler/sol_simple 2.8±0.02ms 2.9±0.03ms +3.57%
heimdall_decompiler/yul_complex 62.5±0.74ms 62.3±0.77ms -0.32%
heimdall_decompiler/yul_simple 2.3±0.03ms 2.4±0.02ms +4.35%
heimdall_disassembler/complex 942.7±34.91µs 944.3±29.63µs +0.17%
heimdall_disassembler/simple 45.9±1.95µs 46.3±1.18µs +0.87%
heimdall_vm/erc20_transfer 356.1±7.90µs 357.8±10.04µs +0.48%
heimdall_vm/fib 861.3±7.74µs 832.8±9.36µs -3.31%
heimdall_vm/ten_thousand_hashes 5.2±0.22s 5.0±0.04s -3.85%

@Jon-Becker Jon-Becker deleted the jon-becker/decode-message-calls branch December 27, 2024 07:02
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Further Resolving of Message Calls Within Functions
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@Jon-Becker