{"id":"https://openalex.org/W3021994671","doi":"https://doi.org/10.1109/jproc.2020.2991885","title":"Elementary Functions and Approximate Computing","display_name":"Elementary Functions and Approximate Computing","publication_year":2020,"publication_date":"2020-06-02","ids":{"openalex":"https://openalex.org/W3021994671","doi":"https://doi.org/10.1109/jproc.2020.2991885","mag":"3021994671"},"language":"en","primary_location":{"id":"doi:10.1109/jproc.2020.2991885","doi":"https://doi.org/10.1109/jproc.2020.2991885","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jproc.2020.2991885","pdf_url":null,"source":{"id":"https://openalex.org/S68686220","display_name":"Proceedings of the IEEE","issn_l":"0018-9219","issn":["0018-9219","1558-2256"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-a","cwts-core","dongbi-b","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the IEEE","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.archives-ouvertes.fr/hal-02517784","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046395330","display_name":"Jean\u2010Michel Muller","orcid":"https://orcid.org/0000-0003-3588-0047","observed_orcids":["https://orcid.org/0000-0003-3588-0047"]},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Lyon 1 Universit\u00e9","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I4210144566"]},{"id":"https://openalex.org/I4405259437","display_name":"ARIC: Arithm\u00e9tiques des ordinateurs, m\u00e9thodes formelles, g\u00e9n\u00e9ration de code","ror":"https://ror.org/0282csf50","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4394709170","https://openalex.org/I4405259437"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Michel Muller","raw_affiliation_strings":["Univ Lyon, CNRS, ENS de Lyon, Inria, Universit\u00e9 Claude Bernard Lyon 1, LIP UMR 5668, Lyon, France","ARIC - Arithmetic and Computing (46 All\u00e9e d'Italie \r\n69364 Lyon France - France)","CNRS - Centre National de la Recherche Scientifique (France)"],"raw_orcid":"https://orcid.org/0000-0003-3588-0047","affiliations":[{"raw_affiliation_string":"Univ Lyon, CNRS, ENS de Lyon, Inria, Universit\u00e9 Claude Bernard Lyon 1, LIP UMR 5668, Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144566"]},{"raw_affiliation_string":"ARIC - Arithmetic and Computing (46 All\u00e9e d'Italie \r\n69364 Lyon France - France)","institution_ids":["https://openalex.org/I4405259437"]},{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5046395330"],"corresponding_institution_ids":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144566","https://openalex.org/I4405259437"],"apc_list":{"value":2045,"currency":"USD","value_usd":2045},"apc_paid":null,"fwci":4.971,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.9606787,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"108","issue":"12","first_page":"2136","last_page":"2149"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9887999892234802,"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":0.9887999892234802,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.004100000020116568,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.003599999938160181,"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/elementary-functions","display_name":"elementary functions","score":0.9580000042915344},{"id":"https://openalex.org/keywords/approximate-computing","display_name":"approximate computing","score":0.9819999933242798},{"id":"https://openalex.org/keywords/shift-and-add-algorithm","display_name":"shift-and-add algorithm","score":0.9900000095367432},{"id":"https://openalex.org/keywords/polynomial-approximation","display_name":"polynomial approximation","score":0.7799999713897705},{"id":"https://openalex.org/keywords/rational-approximation","display_name":"rational approximation","score":0.9490000009536743},{"id":"https://openalex.org/keywords/bit-manipulation","display_name":"bit manipulation","score":0.8650000095367432},{"id":"https://openalex.org/keywords/accuracy-loss","display_name":"accuracy loss","score":0.5910000205039978}],"concepts":[{"id":"https://openalex.org/C182408441","wikidata":"https://www.wikidata.org/wiki/Q824282","display_name":"Elementary function","level":2,"score":0.7222555875778198},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5792644023895264},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5625860691070557},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5551234483718872},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5334795713424683},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4777638018131256},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.4705018699169159},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.4627065658569336},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4609864354133606},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36933016777038574},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34155377745628357},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34091705083847046},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16087958216667175},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12293347716331482},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1132742166519165},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.09306177496910095},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07142424583435059},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/jproc.2020.2991885","doi":"https://doi.org/10.1109/jproc.2020.2991885","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jproc.2020.2991885","pdf_url":null,"source":{"id":"https://openalex.org/S68686220","display_name":"Proceedings of the IEEE","issn_l":"0018-9219","issn":["0018-9219","1558-2256"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-a","cwts-core","dongbi-b","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the IEEE","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02517784v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02517784","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02517784","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-02517784v2","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-02517784","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the IEEE, 2020, 108 (12), pp.1558-2256. ⟨10.1109/JPROC.2020.2991885⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02517784v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02517784","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02517784","raw_type":"info:eu-repo/semantics/preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W13368368","https://openalex.org/W65339224","https://openalex.org/W253307310","https://openalex.org/W321484226","https://openalex.org/W605824955","https://openalex.org/W1490616226","https://openalex.org/W1524305136","https://openalex.org/W1566556876","https://openalex.org/W1578616145","https://openalex.org/W1587115835","https://openalex.org/W1601688759","https://openalex.org/W1606057283","https://openalex.org/W1649344707","https://openalex.org/W1907116313","https://openalex.org/W1941428497","https://openalex.org/W1975054686","https://openalex.org/W1977336460","https://openalex.org/W1978250960","https://openalex.org/W1980480435","https://openalex.org/W1986396242","https://openalex.org/W1995574761","https://openalex.org/W1999470254","https://openalex.org/W2017736478","https://openalex.org/W2018090357","https://openalex.org/W2030898836","https://openalex.org/W2038443939","https://openalex.org/W2038723347","https://openalex.org/W2047995285","https://openalex.org/W2080210672","https://openalex.org/W2092622802","https://openalex.org/W2094438648","https://openalex.org/W2103857882","https://openalex.org/W2110953186","https://openalex.org/W2111013824","https://openalex.org/W2111730172","https://openalex.org/W2115452265","https://openalex.org/W2122685238","https://openalex.org/W2123135716","https://openalex.org/W2124469656","https://openalex.org/W2127123597","https://openalex.org/W2127968466","https://openalex.org/W2132350861","https://openalex.org/W2132543649","https://openalex.org/W2137269967","https://openalex.org/W2139268622","https://openalex.org/W2139535992","https://openalex.org/W2150633168","https://openalex.org/W2157284567","https://openalex.org/W2165473980","https://openalex.org/W2169560065","https://openalex.org/W2171451363","https://openalex.org/W2179627363","https://openalex.org/W2187680188","https://openalex.org/W2300324070","https://openalex.org/W2520705664","https://openalex.org/W2523017333","https://openalex.org/W2607445385","https://openalex.org/W2608093348","https://openalex.org/W2790285612","https://openalex.org/W2801650015","https://openalex.org/W2887397219","https://openalex.org/W2900613774","https://openalex.org/W2951163580","https://openalex.org/W2966568303","https://openalex.org/W3009178428","https://openalex.org/W4252124868","https://openalex.org/W4300223101","https://openalex.org/W6600532955"],"related_works":["https://openalex.org/W66908487","https://openalex.org/W4255733428","https://openalex.org/W1490616226","https://openalex.org/W268320017","https://openalex.org/W2247373330","https://openalex.org/W2122685238","https://openalex.org/W2722004035","https://openalex.org/W2179627363","https://openalex.org/W2152992659","https://openalex.org/W7099732487"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,51],"review":[4],"some":[5],"of":[6,23,28,62,68,74],"the":[7,17,24,43,66],"classical":[8],"methods":[9],"used":[10],"for":[11,21,42,57],"quickly":[12],"obtaining":[13,58],"low-precision":[14],"approximations":[15],"to":[16,46],"elementary":[18,29],"functions.":[19],"Then,":[20],"each":[22],"three":[25],"main":[26],"classes":[27],"function":[30],"algorithms":[31],"(shift-and-add":[32],"algorithms,":[33],"polynomial":[34],"or":[35],"rational":[36],"approximations,":[37],"and":[38,41],"table-based":[39],"methods)":[40],"additional,":[44],"specific":[45],"approximate":[47],"computing,":[48],"\u201cbit-manipulation\u201d":[49],"techniques,":[50],"examine":[52],"what":[53],"can":[54],"be":[55],"done":[56],"very":[59],"fast":[60],"estimates":[61],"a":[63,69],"function,":[64],"at":[65],"cost":[67],"(controlled)":[70],"loss":[71],"in":[72],"terms":[73],"accuracy.":[75]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2020-05-13T00:00:00"}