{"id":"https://openalex.org/W2159684237","doi":"https://doi.org/10.1109/iccad.2004.1382566","title":"Factoring and eliminating common subexpressions in polynomial expressions","display_name":"Factoring and eliminating common subexpressions in polynomial expressions","publication_year":2005,"publication_date":"2005-02-22","ids":{"openalex":"https://openalex.org/W2159684237","doi":"https://doi.org/10.1109/iccad.2004.1382566","mag":"2159684237"},"language":"en","primary_location":{"id":"doi:10.1109/iccad.2004.1382566","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccad.2004.1382566","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/ACM International Conference on Computer Aided Design, 2004. ICCAD-2004.","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008405920","display_name":"Anup Hosangadi","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Hosangadi","raw_affiliation_strings":["University of California, Santa Barbara, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036666925","display_name":"Farzan Fallah","orcid":null},"institutions":[{"id":"https://openalex.org/I2252096349","display_name":"Fujitsu (Japan)","ror":"https://ror.org/038e2g226","country_code":"JP","type":"company","lineage":["https://openalex.org/I2252096349"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"F. Fallah","raw_affiliation_strings":["Fujitsu Laboratories of America, Inc., Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujitsu Laboratories of America, Inc., Japan","institution_ids":["https://openalex.org/I2252096349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000231774","display_name":"Ryan Kastner","orcid":"https://orcid.org/0000-0001-9062-5570"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Kastner","raw_affiliation_strings":["University of California, Santa Barbara, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"169","last_page":"174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6926809549331665},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.545107901096344},{"id":"https://openalex.org/keywords/optimizing-compiler","display_name":"Optimizing compiler","score":0.5433633327484131},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5131093263626099},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4770847260951996},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4734344482421875},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.46920910477638245},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39391177892684937},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33286523818969727},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23567810654640198},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08142942190170288}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6926809549331665},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.545107901096344},{"id":"https://openalex.org/C190902152","wikidata":"https://www.wikidata.org/wiki/Q1325106","display_name":"Optimizing compiler","level":3,"score":0.5433633327484131},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5131093263626099},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4770847260951996},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4734344482421875},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.46920910477638245},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39391177892684937},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33286523818969727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23567810654640198},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08142942190170288},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iccad.2004.1382566","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccad.2004.1382566","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/ACM International Conference on Computer Aided Design, 2004. ICCAD-2004.","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.87.6610","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.87.6610","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ece.ucsb.edu/~kastner/papers/iccad04-subexpr_polynomials.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1511232267","https://openalex.org/W2000366549","https://openalex.org/W2024598204","https://openalex.org/W2036887642","https://openalex.org/W2066433655","https://openalex.org/W2070430866","https://openalex.org/W2075728160","https://openalex.org/W2095711409","https://openalex.org/W2114067856","https://openalex.org/W2117285153","https://openalex.org/W2120173944","https://openalex.org/W2132458065","https://openalex.org/W2165085842","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W4231420848","https://openalex.org/W4249006057"],"related_works":["https://openalex.org/W2002505081","https://openalex.org/W2083681681","https://openalex.org/W2577630842","https://openalex.org/W1172579163","https://openalex.org/W1488300410","https://openalex.org/W2138790427","https://openalex.org/W3146558274","https://openalex.org/W4246454774","https://openalex.org/W2162051035","https://openalex.org/W1597127505"],"abstract_inverted_index":{"Polynomial":[0],"expressions":[1,101,126],"are":[2,42,49,81],"used":[3],"to":[4,51,60,66,133],"compute":[5,67],"a":[6,68,94],"wide":[7],"variety":[8],"of":[9,64,70,96,105,111,119,124],"mathematical":[10],"functions":[11],"commonly":[12],"found":[13],"in":[14,108,116],"signal":[15],"processing":[16],"and":[17,39,48,75,113],"graphics":[18],"applications,":[19],"which":[20],"provide":[21],"good":[22],"opportunities":[23],"for":[24,30,87,122],"optimization.":[25],"However":[26],"existing":[27],"compiler":[28],"techniques":[29,86],"reducing":[31],"code":[32],"complexity":[33],"such":[34],"as":[35],"common":[36,77,134],"subexpression":[37,135],"elimination":[38],"value":[40],"numbering":[41],"targeted":[43],"towards":[44],"general":[45],"purpose":[46],"applications":[47,98],"unable":[50],"fully":[52],"optimize":[53],"these":[54,125],"expressions.":[55],"This":[56],"work":[57],"presents":[58],"algorithms":[59,80],"reduce":[61],"the":[62,84,109,117,128],"number":[63,110,118],"operations":[65],"set":[69,95],"polynomial":[71,100],"expression":[72],"by":[73],"factoring":[74],"eliminating":[76],"subexpressions.":[78],"These":[79],"based":[82],"on":[83,93,127],"algebraic":[85],"multi-level":[88],"logic":[89],"synthesis.":[90],"Experimental":[91],"results":[92],"benchmark":[97],"with":[99],"showed":[102],"an":[103],"average":[104],"42.5%":[106],"reduction":[107,115],"multiplications":[112],"39.6%":[114],"clock":[120],"cycles":[121],"computation":[123],"ARM":[129],"processor":[130],"core,":[131],"compared":[132],"elimination.":[136]},"counts_by_year":[{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}