Profiling results ----------------- Total cpu time observed: 546970ms (out of 548972ms) Number of samples taken: 1548 (once every 353ms) (Hiding functions with self<1.0% and local<2.0%: 17 of 289 hidden) ========================================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================================= ??? [72] 100.0% [1] 496374(90.7%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [23] 100.0% ----------------------------------------------------------------------------------------- ??? [72] 100.0% [2] 472166(86.3%) 0(0.0%) run-improve50 ...f-of-prods/src/mainloop.rkt:234:0 for-loop [24] 76.1% get-final-combination [26] 23.3% loop [143] 0.5% setup-alt-simplified [38] 0.1% ----------------------------------------------------------------------------------------- ??? [216] 100.0% [3] 271702(49.7%) 0(0.0%) iterate-egraph!13 ...s/src/core/simplify.rkt:102:0 one-iter [25] 98.7% map-enodes [33] 1.3% ----------------------------------------------------------------------------------------- ??? [202] 100.0% [4] 61258(11.2%) 0(0.0%) approximate9 ...-of-prods/src/core/taylor.rkt:12:0 loop [27] 97.2% f6 [86] 2.8% ----------------------------------------------------------------------------------------- hash-ref! [234] 100.0% [5] 54198(9.9%) 0(0.0%) ??? ...bie/diff-of-prods/src/core/taylor.rkt:44:15 ??? [44] 88.8% hash-ref! [234] 8.7% simplify [43] 2.5% ----------------------------------------------------------------------------------------- hash-ref! [234] 100.0% [6] 46966(8.6%) 0(0.0%) ??? ...ie/diff-of-prods/src/core/taylor.rkt:285:26 for-loop [28] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [234] 100.0% [7] 45980(8.4%) 0(0.0%) ??? ...ie/diff-of-prods/src/core/taylor.rkt:295:23 for-loop [29] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [234] 100.0% [8] 39186(7.2%) 0(0.0%) ??? ...ie/diff-of-prods/src/core/taylor.rkt:322:33 for-loop [30] 100.0% ----------------------------------------------------------------------------------------- ??? [216] 100.0% [9] 31074(5.7%) 0(0.0%) loop .../diff-of-prods/src/core/simplify.rkt:215:2 pass [31] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [234] 100.0% [10] 28478(5.2%) 354(0.1%) ??? ...herbie/diff-of-prods/src/programs.rkt:183:5 loop [217] 92.9% hash-ref! [234] 5.8% ----------------------------------------------------------------------------------------- hash-ref! [234] 100.0% [11] 28122(5.1%) 0(0.0%) ??? ...ie/diff-of-prods/src/core/taylor.rkt:392:23 for-loop [32] 98.9% partition-list [39] 1.1% ----------------------------------------------------------------------------------------- hash-ref! [234] 100.0% [12] 23142(4.2%) 0(0.0%) ??? ...bie/diff-of-prods/src/core/taylor.rkt:67:15 ??? [202] 87.4% hash-ref! [234] 12.6% ----------------------------------------------------------------------------------------- hash-ref! [234] 100.0% [13] 2052(0.4%) 0(0.0%) ??? ...ie/diff-of-prods/src/core/taylor.rkt:483:23 for-loop [34] 83.8% hash-ref! [234] 16.2% ----------------------------------------------------------------------------------------- f6 [86] 100.0% [14] 1732(0.3%) 682(0.1%) combine-mterms ...-prods/src/core/reduce.rkt:191:0 for-loop [36] 60.6% ----------------------------------------------------------------------------------------- copying-mergesort [127] 100.0% [15] 1392(0.3%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [195] 77.0% ??? [202] 23.0% ----------------------------------------------------------------------------------------- hash-ref! [234] 100.0% [16] 1370(0.3%) 0(0.0%) ??? ...ie/diff-of-prods/src/core/taylor.rkt:338:33 for-loop [37] 76.1% hash-ref! [234] 23.9% ----------------------------------------------------------------------------------------- ??? [202] 100.0% [17] 1346(0.2%) 0(0.0%) best-alt ...herbie/diff-of-prods/src/glue.rkt:71:0 loop [59] 100.0% ----------------------------------------------------------------------------------------- f6 [86] 100.0% [18] 1328(0.2%) 0(0.0%) taylor-invert ...f-prods/src/core/taylor.rkt:312:0 first-nonzero-exp [35] 52.3% simplify [43] 47.7% ----------------------------------------------------------------------------------------- rewriter [81] 100.0% [19] 1282(0.2%) 0(0.0%) *rules* ...iff-of-prods/src/syntax/rules.rkt:493:0 for-loop [128] 100.0% ----------------------------------------------------------------------------------------- f6 [86] 100.0% [20] 736(0.1%) 0(0.0%) taylor-quotient ...prods/src/core/taylor.rkt:328:0 first-nonzero-exp [35] 51.6% simplify [43] 48.4% ----------------------------------------------------------------------------------------- parse-loop12 [208] 100.0% [21] 688(0.1%) 0(0.0%) for-loop ...iff-of-prods/src/core/reduce.rkt:99:13 make-multiplication-node [56] 100.0% ----------------------------------------------------------------------------------------- f6 [86] 100.0% [22] 334(0.1%) 0(0.0%) taylor-exp ...f-of-prods/src/core/taylor.rkt:386:0 ??? [177] 100.0% ----------------------------------------------------------------------------------------- profile-thunk16 [1] 99.4% [23] 499502(91.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [72] 100.0% ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [24] 359154(65.7%) 0(0.0%) for-loop .../diff-of-prods/src/mainloop.rkt:249:10 run-iter! [40] 100.0% ----------------------------------------------------------------------------------------- iterate-egraph!13 [3] 100.0% [25] 268250(49.0%) 4110(0.8%) one-iter ...f-of-prods/src/core/simplify.rkt:113:0 loop [88] 62.8% for-loop [42] 31.3% apply-match [95] 4.2% ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [26] 110126(20.1%) 0(0.0%) get-final-combination ...ds/src/mainloop.rkt:264:0 split-table [41] 99.7% extract-alt [48] 0.3% ----------------------------------------------------------------------------------------- approximate9 [4] 100.0% [27] 59542(10.9%) 0(0.0%) loop ...bie/diff-of-prods/src/core/taylor.rkt:86:4 ??? [202] 61.1% hash-ref! [234] 38.9% ----------------------------------------------------------------------------------------- ??? [6] 100.0% [28] 46966(8.6%) 0(0.0%) for-loop ...ff-of-prods/src/core/taylor.rkt:285:52 ??? [44] 70.2% hash-ref! [234] 27.5% simplify [43] 2.3% ----------------------------------------------------------------------------------------- ??? [7] 100.0% [29] 45980(8.4%) 0(0.0%) for-loop ...ff-of-prods/src/core/taylor.rkt:298:27 hash-ref! [234] 99.5% simplify [43] 0.5% ----------------------------------------------------------------------------------------- ??? [8] 100.0% [30] 39186(7.2%) 0(0.0%) for-loop ...ff-of-prods/src/core/taylor.rkt:324:46 hash-ref! [234] 99.1% simplify [43] 0.9% ----------------------------------------------------------------------------------------- loop [9] 100.0% [31] 31074(5.7%) 0(0.0%) pass .../diff-of-prods/src/core/simplify.rkt:205:2 for-loop [45] 100.0% ----------------------------------------------------------------------------------------- ??? [11] 100.0% [32] 27824(5.1%) 0(0.0%) for-loop ...ff-of-prods/src/core/taylor.rkt:396:33 for-loop [46] 100.0% ----------------------------------------------------------------------------------------- iterate-egraph!13 [3] 100.0% [33] 3452(0.6%) 0(0.0%) map-enodes ...f-of-prods/src/core/egraph.rkt:139:0 loop [217] 79.4% curried [230] 10.5% for-loop [47] 10.1% ----------------------------------------------------------------------------------------- ??? [13] 100.0% [34] 1720(0.3%) 0(0.0%) for-loop ...ff-of-prods/src/core/taylor.rkt:487:35 parse-loop12 [208] 100.0% ----------------------------------------------------------------------------------------- taylor-quotient [20] 35.4% taylor-invert [18] 64.6% [35] 1074(0.2%) 0(0.0%) first-nonzero-exp ...ods/src/core/taylor.rkt:260:0 hash-ref! [234] 66.5% simplify [43] 33.5% ----------------------------------------------------------------------------------------- combine-mterms [14] 100.0% [36] 1050(0.2%) 684(0.1%) for-loop ...iff-of-prods/src/core/reduce.rkt:195:5 hash-ref! [234] 34.9% ----------------------------------------------------------------------------------------- ??? [16] 100.0% [37] 1042(0.2%) 0(0.0%) for-loop ...ff-of-prods/src/core/taylor.rkt:341:46 hash-ref! [234] 100.0% ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [38] 324(0.1%) 0(0.0%) setup-alt-simplified ...of-prods/src/glue.rkt:49:0 simplify-alt [49] 100.0% ----------------------------------------------------------------------------------------- ??? [11] 100.0% [39] 298(0.1%) 0(0.0%) partition-list ...-prods/src/core/taylor.rkt:376:0 rle [50] 100.0% ----------------------------------------------------------------------------------------- for-loop [24] 100.0% [40] 359154(65.7%) 0(0.0%) run-iter! .../diff-of-prods/src/mainloop.rkt:215:0 simplify! [51] 74.5% gen-series! [52] 17.1% finalize-iter! [53] 6.7% gen-rewrites! [58] 0.6% choose-best-alt! [60] 0.4% ----------------------------------------------------------------------------------------- get-final-combination [26] 100.0% [41] 109770(20.1%) 0(0.0%) split-table ...ie/diff-of-prods/src/glue.rkt:162:0 f6 [86] 99.7% ??? [154] 0.3% ----------------------------------------------------------------------------------------- for-loop [42] 49.4% one-iter [25] 50.6% [42] 84092(15.4%) 16038(2.9%) for-loop ...-of-prods/src/core/simplify.rkt:123:12 for-loop [42] 49.4% match-e [102] 39.7% ??? [136] 0.8% ----------------------------------------------------------------------------------------- taylor-quotient [20] 0.6% first-nonzero-exp [35] 0.6% for-loop [30] 0.6% taylor-invert [18] 1.1% for-loop [29] 1.2% parse-loop12 [208] 1.8% loop [217] 2.1% ??? [5] 2.3% for-loop [28] 2.9% hash-ref! [234] 85.1% [43] 58906(10.8%) 326(0.1%) simplify ...diff-of-prods/src/core/reduce.rkt:16:0 f6 [86] 60.3% parse-loop12 [208] 32.2% simplify* [225] 1.7% simplify-node [176] 1.7% debug7 [63] 1.2% debug-print [100] 1.1% make-multiplication-node [56] 0.6% ??? [57] 0.6% ----------------------------------------------------------------------------------------- ??? [5] 35.7% for-loop [28] 64.3% [44] 50096(9.2%) 0(0.0%) ??? ...ie/diff-of-prods/src/core/taylor.rkt:288:19 hash-ref! [234] 100.0% ----------------------------------------------------------------------------------------- pass [31] 100.0% [45] 31074(5.7%) 336(0.1%) for-loop ...-of-prods/src/core/simplify.rkt:208:29 argmin [54] 69.8% loop [55] 26.0% for-loop [62] 3.2% ----------------------------------------------------------------------------------------- for-loop [32] 100.0% [46] 27824(5.1%) 0(0.0%) for-loop ...ff-of-prods/src/core/taylor.rkt:398:39 hash-ref! [234] 100.0% ----------------------------------------------------------------------------------------- map-enodes [33] 11.3% loop [217] 88.7% [47] 3090(0.6%) 326(0.1%) for-loop ...f-of-prods/src/core/simplify.rkt:173:2 eval-const-expr [61] 32.6% curried [230] 23.1% setfindf [64] 22.5% compose [93] 11.3% ----------------------------------------------------------------------------------------- get-final-combination [26] 100.0% [48] 356(0.1%) 0(0.0%) extract-alt ...bie/diff-of-prods/src/glue.rkt:55:0 loop [59] 100.0% ----------------------------------------------------------------------------------------- setup-alt-simplified [38] 100.0% [49] 324(0.1%) 0(0.0%) simplify-alt ...ie/diff-of-prods/src/glue.rkt:76:0 ??? [216] 100.0% ----------------------------------------------------------------------------------------- partition-list [39] 100.0% [50] 298(0.1%) 0(0.0%) rle ...bie/diff-of-prods/src/core/taylor.rkt:372:0 group-by68 [78] 100.0% ----------------------------------------------------------------------------------------- run-iter! [40] 100.0% [51] 267732(48.9%) 0(0.0%) simplify! .../diff-of-prods/src/mainloop.rkt:155:0 for-loop [65] 100.0% ----------------------------------------------------------------------------------------- run-iter! [40] 100.0% [52] 61258(11.2%) 0(0.0%) gen-series! ...iff-of-prods/src/mainloop.rkt:129:0 for-loop [66] 100.0% ----------------------------------------------------------------------------------------- run-iter! [40] 100.0% [53] 23936(4.4%) 0(0.0%) finalize-iter! ...-of-prods/src/mainloop.rkt:169:0 ??? [154] 100.0% ----------------------------------------------------------------------------------------- for-loop [45] 100.0% [54] 21684(4.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [67] 90.7% expression-cost [69] 9.3% ----------------------------------------------------------------------------------------- for-loop [45] 100.0% [55] 8068(1.5%) 310(0.1%) loop ...hare/racket/collects/racket/list.rkt:729:4 for-loop [67] 83.4% expression-cost [69] 12.7% ----------------------------------------------------------------------------------------- simplify [43] 5.2% for-loop [21] 10.0% parse-loop12 [208] 34.8% map [163] 50.1% [56] 6888(1.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:230:0 make-multiplication-subnode [68] 100.0% ----------------------------------------------------------------------------------------- simplify [43] 11.9% parse-loop12 [208] 25.1% map [163] 63.0% [57] 2764(0.5%) 0(0.0%) ??? ...rbie/diff-of-prods/src/core/reduce.rkt:61:5 for-loop [70] 100.0% ----------------------------------------------------------------------------------------- run-iter! [40] 100.0% [58] 2250(0.4%) 0(0.0%) gen-rewrites! ...f-of-prods/src/mainloop.rkt:142:0 for-loop [71] 100.0% ----------------------------------------------------------------------------------------- extract-alt [48] 20.9% best-alt [17] 79.1% [59] 1702(0.3%) 0(0.0%) loop .../herbie/diff-of-prods/src/common.rkt:146:2 composed [90] 100.0% ----------------------------------------------------------------------------------------- run-iter! [40] 100.0% [60] 1346(0.2%) 0(0.0%) choose-best-alt! ...f-prods/src/mainloop.rkt:115:0 ??? [154] 100.0% ----------------------------------------------------------------------------------------- for-loop [47] 100.0% [61] 1008(0.2%) 0(0.0%) eval-const-expr ...of-prods/src/programs.rkt:166:0 f6 [86] 69.4% parse-loop12 [208] 30.6% ----------------------------------------------------------------------------------------- for-loop [45] 100.0% [62] 986(0.2%) 986(0.2%) for-loop ...-of-prods/src/core/simplify.rkt:195:13 ----------------------------------------------------------------------------------------- simplify [43] 100.0% [63] 702(0.1%) 334(0.1%) debug7 ...herbie/diff-of-prods/src/debug.rkt:102:0 return/no-unsupplied [240] 52.4% ----------------------------------------------------------------------------------------- for-loop [47] 100.0% [64] 694(0.1%) 694(0.1%) setfindf ...bie/diff-of-prods/src/common.rkt:179:0 ----------------------------------------------------------------------------------------- simplify! [51] 100.0% [65] 267732(48.9%) 0(0.0%) for-loop ...e/diff-of-prods/src/mainloop.rkt:159:6 ??? [72] 100.0% ----------------------------------------------------------------------------------------- gen-series! [52] 100.0% [66] 61258(11.2%) 0(0.0%) for-loop ...e/diff-of-prods/src/mainloop.rkt:135:7 taylor-alt [73] 100.0% ----------------------------------------------------------------------------------------- loop [55] 25.5% argmin [54] 74.5% [67] 26392(4.8%) 656(0.1%) for-loop ...e/diff-of-prods/src/programs.rkt:199:2 ??? [216] 71.6% ...prods/src/common.rkt:47:2 [159] 23.3% ??? [156] 2.6% ----------------------------------------------------------------------------------------- make-multiplication-node [56] 100.0% [68] 6888(1.3%) 628(0.1%) make-multiplication-subnode ...re/reduce.rkt:240:0 for-loop [74] 80.5% group-by68 [78] 10.4% ----------------------------------------------------------------------------------------- loop [55] 33.6% argmin [54] 66.4% [69] 3050(0.6%) 360(0.1%) expression-cost ...of-prods/src/programs.rkt:198:0 compile [75] 88.2% ----------------------------------------------------------------------------------------- ??? [57] 100.0% [70] 2764(0.5%) 1024(0.2%) for-loop ...diff-of-prods/src/core/reduce.rkt:62:7 pattern-match [77] 63.0% ----------------------------------------------------------------------------------------- gen-rewrites! [58] 100.0% [71] 2250(0.4%) 0(0.0%) for-loop .../diff-of-prods/src/mainloop.rkt:147:11 ??? [76] 100.0% ----------------------------------------------------------------------------------------- for-loop [65] 16.6% run [23] 38.3% [72] 539092(98.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 37.8% run-improve50 [2] 35.9% ??? [216] 23.2% loop [143] 3.1% ----------------------------------------------------------------------------------------- for-loop [66] 100.0% [73] 61258(11.2%) 0(0.0%) taylor-alt ...bie/diff-of-prods/src/glue.rkt:134:0 for-loop [79] 100.0% ----------------------------------------------------------------------------------------- make-multiplication-subnode [68] 100.0% [74] 5542(1.0%) 0(0.0%) for-loop ...iff-of-prods/src/core/reduce.rkt:242:3 make-multiplication-subsubsubnode [80] 74.8% mterm->expr [84] 25.2% ----------------------------------------------------------------------------------------- expression-cost [69] 100.0% [75] 2690(0.5%) 0(0.0%) compile ...ie/diff-of-prods/src/programs.rkt:175:0 hash-ref! [234] 100.0% ----------------------------------------------------------------------------------------- for-loop [71] 100.0% [76] 2250(0.4%) 0(0.0%) ??? ...rbie/diff-of-prods/src/alternative.rkt:88:0 rewriter [81] 100.0% ----------------------------------------------------------------------------------------- for-loop [82] 19.9% for-loop [70] 80.1% [77] 1740(0.3%) 1046(0.2%) pattern-match ...f-prods/src/core/matcher.rkt:48:0 for-loop [82] 19.9% ??? [154] 10.3% variable? [105] 9.7% ----------------------------------------------------------------------------------------- rle [50] 29.3% make-multiplication-subnode [68] 70.7% [78] 1016(0.2%) 656(0.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [83] 35.4% ----------------------------------------------------------------------------------------- taylor-alt [73] 100.0% [79] 61258(11.2%) 0(0.0%) for-loop ...erbie/diff-of-prods/src/glue.rkt:139:6 ??? [202] 100.0% ----------------------------------------------------------------------------------------- make-multiplication-subsubsubnode [80] 3.8% for-loop [74] 96.2% [80] 4144(0.8%) 0(0.0%) make-multiplication-subsubsubnode ...uce.rkt:262:0 mterm->expr [84] 96.2% make-multiplication-subsubsubnode [80] 3.8% ----------------------------------------------------------------------------------------- ??? [76] 30.0% matcher [87] 70.0% [81] 2250(0.4%) 334(0.1%) rewriter ...ff-of-prods/src/core/matcher.rkt:131:2 for-loop [85] 70.0% *rules* [19] 16.8% expression->type [99] 4.9% f6 [86] 3.4% ----------------------------------------------------------------------------------------- pattern-match [77] 100.0% [82] 694(0.1%) 0(0.0%) for-loop ...iff-of-prods/src/core/matcher.rkt:66:9 pattern-match [77] 100.0% ----------------------------------------------------------------------------------------- group-by68 [78] 100.0% [83] 360(0.1%) 360(0.1%) hash-update ...cket/private/more-scheme.rkt:356:13 ----------------------------------------------------------------------------------------- for-loop [74] 25.2% make-multiplication-subsubsubnode [80] 74.8% [84] 5542(1.0%) 1374(0.3%) mterm->expr ...-of-prods/src/core/reduce.rkt:270:0 f6 [86] 36.8% expression->type [99] 31.9% free-variables [188] 6.5% ----------------------------------------------------------------------------------------- rewriter [81] 100.0% [85] 2250(0.4%) 0(0.0%) for-loop ...f-of-prods/src/core/matcher.rkt:134:10 matcher [87] 100.0% ----------------------------------------------------------------------------------------- loop [88] 0.1% rewriter [81] 0.2% simplify-node [176] 0.2% composed [90] 0.2% ??? [177] 0.3% approximate9 [4] 0.3% mterm->expr [84] 0.4% eval-const-expr [61] 0.4% for-loop [106] 0.5% loop [217] 0.8% append-map [183] 1.1% hash-ref! [234] 1.4% eval-prog [191] 2.1% parse-loop12 [208] 2.9% f6 [86] 6.7% simplify [43] 7.2% map [163] 10.5% split-table [41] 64.8% [86] 158770(29.0%) 8466(1.5%) f6 ...et/collects/racket/match/compiler.rkt:507:40 loop [217] 55.8% map [163] 19.1% option-on-expr [89] 9.1% f6 [86] 6.7% ??? [202] 2.0% append-map [183] 1.3% ??? [156] 0.7% composed [90] 0.6% ??? [216] 0.6% compose [93] 0.3% combine-mterms [14] 0.3% taylor [94] 0.2% ??? [154] 0.2% loop [92] 0.2% taylor-invert [18] 0.2% parse-loop12 [208] 0.1% taylor-quotient [20] 0.1% loop [88] 0.1% expression->type [99] 0.0% taylor-exp [22] 0.0% ----------------------------------------------------------------------------------------- matcher [87] 15.1% for-loop [91] 34.9% for-loop [85] 50.0% [87] 2250(0.4%) 0(0.0%) matcher ...iff-of-prods/src/core/matcher.rkt:167:2 rewriter [81] 50.0% for-loop [91] 34.9% matcher [87] 15.1% ----------------------------------------------------------------------------------------- f6 [86] 0.2% one-iter [25] 99.8% [88] 168902(30.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [95] 99.8% f6 [86] 0.2% ----------------------------------------------------------------------------------------- f6 [86] 13.5% loop [217] 86.5% [89] 109440(20.0%) 0(0.0%) option-on-expr ...prods/src/core/regimes.rkt:103:0 sindices->spoints [96] 76.5% err-lsts->split-indices [97] 7.7% sort-context-on-expr [98] 7.1% loop [217] 5.5% errors [186] 3.1% ----------------------------------------------------------------------------------------- loop [59] 29.9% f6 [86] 70.1% [90] 5694(1.0%) 338(0.1%) composed ...ollects/racket/private/list.rkt:321:16 f6 [86] 58.3% errors [186] 29.9% parse-loop12 [208] 5.9% ----------------------------------------------------------------------------------------- matcher [87] 100.0% [91] 2250(0.4%) 0(0.0%) for-loop ...f-of-prods/src/core/matcher.rkt:183:21 matcher [87] 100.0% ----------------------------------------------------------------------------------------- f6 [86] 100.0% [92] 1320(0.2%) 300(0.1%) loop ...bie/diff-of-prods/src/core/reduce.rkt:18:2 expression->type [99] 77.3% ----------------------------------------------------------------------------------------- for-loop [47] 33.6% f6 [86] 66.4% [93] 1036(0.2%) 1036(0.2%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------------------------- f6 [86] 100.0% [94] 1028(0.2%) 336(0.1%) taylor .../diff-of-prods/src/core/taylor.rkt:163:0 debug-print [100] 34.8% variable? [105] 32.5% ----------------------------------------------------------------------------------------- one-iter [25] 6.2% loop [88] 93.8% [95] 179714(32.9%) 658(0.1%) apply-match ...f-prods/src/core/simplify.rkt:130:2 for-loop [101] 84.3% match-e [102] 10.0% update-leader! [122] 4.8% reduce-to-single! [107] 0.6% ----------------------------------------------------------------------------------------- option-on-expr [89] 100.0% [96] 83766(15.3%) 0(0.0%) sindices->spoints ...ds/src/core/regimes.rkt:116:0 loop [103] 100.0% ----------------------------------------------------------------------------------------- option-on-expr [89] 100.0% [97] 8466(1.5%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:222:0 add-splitpoint [115] 96.1% loop [109] 3.9% ----------------------------------------------------------------------------------------- option-on-expr [89] 100.0% [98] 7780(1.4%) 0(0.0%) sort-context-on-expr ...prods/src/points.rkt:115:0 ??? [104] 96.2% ??? [110] 3.8% ----------------------------------------------------------------------------------------- f6 [86] 2.1% loop [92] 8.5% rewriter [81] 10.6% for-loop [106] 39.3% mterm->expr [84] 39.4% [99] 3120(0.6%) 0(0.0%) expression->type ...-prods/src/type-check.rkt:45:0 for-loop [106] 77.8% ??? [154] 11.5% variable? [105] 10.6% ----------------------------------------------------------------------------------------- taylor [94] 34.8% simplify [43] 65.2% [100] 1028(0.2%) 300(0.1%) debug-print ...e/diff-of-prods/src/debug.rkt:107:0 for-loop [108] 70.8% ----------------------------------------------------------------------------------------- apply-match [95] 100.0% [101] 151494(27.7%) 1650(0.3%) for-loop ...-of-prods/src/core/simplify.rkt:145:10 loop! [222] 27.1% mk-enode! [118] 26.3% merge-egraph-nodes! [113] 26.3% substitute-e [114] 17.1% list-member? [228] 2.0% ----------------------------------------------------------------------------------------- apply-match [95] 14.5% for-loop [120] 21.3% for-loop [42] 64.2% [102] 84628(15.5%) 33900(6.2%) match-e .../diff-of-prods/src/core/ematch.rkt:46:0 for-loop [112] 43.4% for-loop [120] 7.5% ??? [154] 7.2% variable? [105] 2.4% loop [217] 2.1% list-cartesian-product [124] 1.6% ----------------------------------------------------------------------------------------- loop [103] 29.8% sindices->spoints [96] 70.2% [103] 83766(15.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:36:19 sidx->spoint [111] 70.2% loop [103] 29.8% ----------------------------------------------------------------------------------------- sort-context-on-expr [98] 100.0% [104] 7486(1.4%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [116] 68.2% loop [135] 31.8% ----------------------------------------------------------------------------------------- expression->type [99] 5.2% taylor [94] 5.2% pattern-match [77] 5.3% substitute-e [114] 5.6% match-e [102] 78.7% [105] 6384(1.2%) 712(0.1%) variable? ...-of-prods/src/syntax/syntax.rkt:567:0 ??? [154] 88.8% ----------------------------------------------------------------------------------------- expression->type [99] 100.0% [106] 2428(0.4%) 0(0.0%) for-loop .../diff-of-prods/src/type-check.rkt:52:5 expression->type [99] 50.5% f6 [86] 49.5% ----------------------------------------------------------------------------------------- apply-match [95] 100.0% [107] 994(0.2%) 304(0.1%) reduce-to-single! ...ods/src/core/egraph.rkt:324:0 for-loop [117] 37.4% make-sequence [140] 32.0% ----------------------------------------------------------------------------------------- debug-print [100] 100.0% [108] 728(0.1%) 728(0.1%) for-loop ...rbie/diff-of-prods/src/debug.rkt:113:2 ----------------------------------------------------------------------------------------- err-lsts->split-indices [97] 100.0% [109] 326(0.1%) 0(0.0%) loop ...e/diff-of-prods/src/core/regimes.rkt:272:4 add-splitpoint [115] 100.0% ----------------------------------------------------------------------------------------- sort-context-on-expr [98] 100.0% [110] 294(0.1%) 294(0.1%) ??? ...cket/collects/racket/private/for.rkt:1146:9 ----------------------------------------------------------------------------------------- loop [103] 100.0% [111] 83766(15.3%) 0(0.0%) sidx->spoint ...f-prods/src/core/regimes.rkt:126:2 binary-search [119] 60.8% binary-search-floats [121] 39.2% ----------------------------------------------------------------------------------------- match-e [102] 100.0% [112] 46306(8.5%) 15886(2.9%) for-loop ...iff-of-prods/src/core/ematch.rkt:59:11 for-loop [120] 53.4% list-cartesian-product [124] 8.4% loop [217] 4.8% curry* [130] 1.5% curried [230] 0.8% filter [254] 0.7% ----------------------------------------------------------------------------------------- for-loop [125] 3.3% merge-egraph-nodes! [113] 3.4% for-loop [101] 93.3% [113] 39818(7.3%) 322(0.1%) merge-egraph-nodes! ...s/src/core/egraph.rkt:152:0 update-leader! [122] 56.5% for-loop [126] 13.2% loop! [222] 12.6% for-loop [125] 10.2% merge-egraph-nodes! [113] 3.4% enode-merge! [129] 1.7% for-loop [128] 1.6% ----------------------------------------------------------------------------------------- substitute-e [114] 4.7% for-loop [101] 95.3% [114] 25916(4.7%) 684(0.1%) substitute-e ...-of-prods/src/core/ematch.rkt:71:0 mk-enode! [118] 89.4% substitute-e [114] 4.7% ??? [154] 2.9% variable? [105] 0.5% ----------------------------------------------------------------------------------------- loop [109] 3.9% err-lsts->split-indices [97] 96.1% [115] 8466(1.5%) 0(0.0%) add-splitpoint ...prods/src/core/regimes.rkt:235:2 for-loop [123] 100.0% ----------------------------------------------------------------------------------------- ??? [104] 100.0% [116] 5108(0.9%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [127] 87.1% loop [135] 12.9% ----------------------------------------------------------------------------------------- reduce-to-single! [107] 100.0% [117] 372(0.1%) 372(0.1%) for-loop ...iff-of-prods/src/core/egraph.rkt:325:8 ----------------------------------------------------------------------------------------- mk-egraph [231] 0.5% expr->enode [246] 1.6% substitute-e [114] 36.0% for-loop [101] 61.9% [118] 64424(11.8%) 4710(0.9%) mk-enode! ...ff-of-prods/src/core/egraph.rkt:101:0 new-enode [132] 91.1% hash-has-key? [166] 1.1% ----------------------------------------------------------------------------------------- sidx->spoint [111] 100.0% [119] 50916(9.3%) 0(0.0%) binary-search ...iff-of-prods/src/common.rkt:221:0 pred [131] 100.0% ----------------------------------------------------------------------------------------- match-e [102] 28.2% for-loop [112] 71.8% [120] 37504(6.9%) 2380(0.4%) for-loop ...iff-of-prods/src/core/ematch.rkt:65:37 match-e [102] 89.0% ??? [136] 5.5% ----------------------------------------------------------------------------------------- sidx->spoint [111] 100.0% [121] 32850(6.0%) 0(0.0%) binary-search-floats ...prods/src/common.rkt:236:0 pred [131] 100.0% ----------------------------------------------------------------------------------------- apply-match [95] 26.5% merge-egraph-nodes! [113] 73.5% [122] 32772(6.0%) 1708(0.3%) update-leader! ...-prods/src/core/egraph.rkt:217:0 for-loop [133] 91.7% hash-ref! [234] 1.1% make-sequence [140] 1.0% custom-set-union! [142] 1.0% ----------------------------------------------------------------------------------------- add-splitpoint [115] 100.0% [123] 8466(1.5%) 1350(0.2%) for-loop ...ff-of-prods/src/core/regimes.rkt:237:4 for-loop [134] 84.1% ----------------------------------------------------------------------------------------- match-e [102] 15.3% list-cartesian-product [124] 29.9% for-loop [112] 54.7% [124] 6848(1.3%) 5490(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [124] 29.9% for-loop [137] 12.6% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [113] 100.0% [125] 5486(1.0%) 0(0.0%) for-loop ...ff-of-prods/src/core/egraph.rkt:200:10 merge-egraph-nodes! [113] 50.1% loop! [222] 49.9% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [113] 100.0% [126] 5454(1.0%) 5454(1.0%) for-loop ...iff-of-prods/src/core/egraph.rkt:232:6 ----------------------------------------------------------------------------------------- copying-mergesort [127] 47.2% generic-sort/key [116] 52.8% [127] 4450(0.8%) 360(0.1%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [127] 47.2% loop [135] 43.0% jloop [15] 7.8% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [113] 33.6% *rules* [19] 66.4% [128] 1932(0.4%) 978(0.2%) for-loop ...rbie/diff-of-prods/src/common.rkt:94:9 ormap [139] 34.2% flag-set? [147] 15.2% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [113] 100.0% [129] 692(0.1%) 358(0.1%) enode-merge! ...-of-prods/src/core/enode.rkt:129:0 adopt-enode! [141] 48.3% ----------------------------------------------------------------------------------------- for-loop [112] 100.0% [130] 680(0.1%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [138] 100.0% ----------------------------------------------------------------------------------------- binary-search-floats [121] 39.2% binary-search [119] 60.8% [131] 83766(15.3%) 0(0.0%) pred .../diff-of-prods/src/core/regimes.rkt:132:17 loop [143] 85.4% errors [186] 14.6% ----------------------------------------------------------------------------------------- mk-enode! [118] 100.0% [132] 58682(10.7%) 326(0.1%) new-enode ...diff-of-prods/src/core/enode.rkt:97:0 type-of-enode-expr [144] 98.3% set [238] 1.2% ----------------------------------------------------------------------------------------- update-leader! [122] 100.0% [133] 30048(5.5%) 334(0.1%) for-loop ...iff-of-prods/src/core/egraph.rkt:222:6 for-loop [145] 98.9% ----------------------------------------------------------------------------------------- for-loop [123] 100.0% [134] 7116(1.3%) 7116(1.3%) for-loop ...ff-of-prods/src/core/regimes.rkt:241:8 ----------------------------------------------------------------------------------------- generic-sort/key [116] 11.5% ??? [104] 41.5% copying-mergesort [127] 47.1% [135] 5734(1.0%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [195] 54.0% ??? [202] 46.0% ----------------------------------------------------------------------------------------- for-loop [42] 38.9% for-loop [120] 61.1% [136] 3402(0.6%) 1370(0.3%) ??? ...rbie/diff-of-prods/src/core/ematch.rkt:50:5 for-loop [146] 59.7% ----------------------------------------------------------------------------------------- list-cartesian-product [124] 100.0% [137] 1358(0.2%) 1358(0.2%) for-loop ...diff-of-prods/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------------------------- curry* [130] 100.0% [138] 680(0.1%) 680(0.1%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------------------------- for-loop [128] 100.0% [139] 660(0.1%) 0(0.0%) ormap ...et/collects/racket/private/map.rkt:105:13 flag-set? [147] 100.0% ----------------------------------------------------------------------------------------- reduce-to-single! [107] 48.9% update-leader! [122] 51.1% [140] 650(0.1%) 650(0.1%) make-sequence ...ects/racket/private/for.rkt:509:2 ----------------------------------------------------------------------------------------- enode-merge! [129] 100.0% [141] 334(0.1%) 0(0.0%) adopt-enode! ...-of-prods/src/core/enode.rkt:105:0 custom-set-union [235] 100.0% ----------------------------------------------------------------------------------------- update-leader! [122] 100.0% [142] 324(0.1%) 0(0.0%) custom-set-union! ...t/private/set-types.rkt:245:0 for-loop [148] 100.0% ----------------------------------------------------------------------------------------- run-improve50 [2] 2.4% ??? [72] 29.6% pred [131] 67.9% [143] 105264(19.2%) 0(0.0%) loop .../herbie/diff-of-prods/src/points.rkt:193:2 loop [149] 54.8% loop [155] 31.4% make-exacts* [158] 10.2% for-loop [152] 3.2% filter-exacts [153] 0.3% ----------------------------------------------------------------------------------------- new-enode [132] 100.0% [144] 57672(10.5%) 0(0.0%) type-of-enode-expr ...rods/src/core/enode.rkt:68:0 get-sigs [150] 98.8% parse-loop12 [208] 1.2% ----------------------------------------------------------------------------------------- for-loop [133] 100.0% [145] 29714(5.4%) 0(0.0%) for-loop ...iff-of-prods/src/core/egraph.rkt:223:8 hash-update! [151] 100.0% ----------------------------------------------------------------------------------------- ??? [136] 100.0% [146] 2032(0.4%) 2032(0.4%) for-loop ...diff-of-prods/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------------------------- for-loop [128] 30.8% ormap [139] 69.2% [147] 954(0.2%) 660(0.1%) flag-set? ...bie/diff-of-prods/src/config.rkt:32:0 ??? [226] 30.8% ----------------------------------------------------------------------------------------- custom-set-union! [142] 100.0% [148] 324(0.1%) 324(0.1%) for-loop ...cts/racket/private/set-types.rkt:253:4 ----------------------------------------------------------------------------------------- loop [143] 100.0% [149] 57692(10.5%) 0(0.0%) loop .../herbie/diff-of-prods/src/points.rkt:151:2 eval-prog [191] 73.6% loop [155] 17.9% make-exacts* [158] 8.5% ----------------------------------------------------------------------------------------- type-of-enode-expr [144] 100.0% [150] 56952(10.4%) 662(0.1%) get-sigs ...e/diff-of-prods/src/type-check.rkt:5:0 ??? [156] 45.5% ??? [216] 25.8% ??? [154] 16.8% ...prods/src/common.rkt:47:2 [159] 10.7% ----------------------------------------------------------------------------------------- for-loop [145] 100.0% [151] 29714(5.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [157] 100.0% ----------------------------------------------------------------------------------------- loop [143] 100.0% [152] 3400(0.6%) 0(0.0%) for-loop ...ie/diff-of-prods/src/points.rkt:200:24 for-loop [160] 80.6% ??? [161] 19.4% ----------------------------------------------------------------------------------------- loop [143] 100.0% [153] 332(0.1%) 0(0.0%) filter-exacts ...iff-of-prods/src/points.rkt:166:0 for-loop [162] 100.0% ----------------------------------------------------------------------------------------- split-table [41] 0.5% pattern-match [77] 0.6% expression->type [99] 0.6% simplify* [225] 1.1% f6 [86] 1.7% choose-best-alt! [60] 2.2% substitute-e [114] 2.8% free-variables [188] 3.9% ??? [259] 5.0% variable? [105] 9.4% get-sigs [150] 15.9% match-e [102] 17.0% finalize-iter! [53] 39.2% [154] 60194(11.0%) 17864(3.3%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [165] 37.4% hash-has-key? [166] 28.3% ??? [171] 2.2% atab-add-altns [172] 1.8% split-atab [173] 0.5% ----------------------------------------------------------------------------------------- loop [149] 23.7% loop [143] 76.3% [155] 43376(7.9%) 0(0.0%) loop .../herbie/diff-of-prods/src/points.rkt:141:4 map [163] 99.4% ??? [195] 0.6% ----------------------------------------------------------------------------------------- for-loop [67] 2.3% ??? [202] 4.8% f6 [86] 6.7% get-sigs [150] 86.2% [156] 30062(5.5%) 2830(0.5%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 ??? [167] 43.8% for-loop [168] 34.2% get/build-late-neg-projection [193] 12.6% ----------------------------------------------------------------------------------------- hash-update! [151] 100.0% [157] 29714(5.4%) 1044(0.2%) ??? ...ie/diff-of-prods/src/core/egraph.rkt:225:24 for-loop [164] 96.5% ----------------------------------------------------------------------------------------- loop [149] 31.3% loop [143] 68.7% [158] 15670(2.9%) 0(0.0%) make-exacts* ...diff-of-prods/src/points.rkt:138:0 map [163] 52.3% loop [217] 47.7% ----------------------------------------------------------------------------------------- ->bf [215] 2.7% ??? [202] 9.9% get-sigs [150] 43.5% for-loop [67] 43.9% [159] 13992(2.6%) 5548(1.0%) ...prods/src/common.rkt:47:2 ...e/arr-i.rkt:906:19 ??? [169] 43.9% ??? [170] 16.4% ----------------------------------------------------------------------------------------- for-loop [152] 100.0% [160] 2742(0.5%) 0(0.0%) for-loop ...ie/diff-of-prods/src/points.rkt:201:26 ??? [202] 100.0% ----------------------------------------------------------------------------------------- for-loop [152] 100.0% [161] 658(0.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:346:33 ??? [262] 100.0% ----------------------------------------------------------------------------------------- filter-exacts [153] 100.0% [162] 332(0.1%) 332(0.1%) for-loop ...bie/diff-of-prods/src/points.rkt:169:4 ----------------------------------------------------------------------------------------- ??? [177] 0.7% parse-loop12 [208] 1.5% make-exacts* [158] 9.0% f6 [86] 41.5% loop [155] 47.1% [163] 91540(16.7%) 662(0.1%) map ...acket/collects/racket/private/map.rkt:20:13 loop [217] 37.1% f6 [86] 23.7% ??? [195] 19.1% parse-loop12 [208] 10.3% ??? [177] 2.4% simplify* [225] 2.4% simplify-node [176] 2.2% make-multiplication-node [56] 1.1% ??? [202] 0.7% ??? [57] 0.6% ----------------------------------------------------------------------------------------- ??? [157] 100.0% [164] 28670(5.2%) 24866(4.5%) for-loop ...ff-of-prods/src/core/egraph.rkt:226:26 update-en-expr [241] 13.3% ----------------------------------------------------------------------------------------- ??? [154] 100.0% [165] 22862(4.2%) 0(0.0%) for-loop ...f-of-prods/src/core/alt-table.rkt:51:2 atab-add-altn [174] 100.0% ----------------------------------------------------------------------------------------- mk-enode! [118] 3.9% ??? [154] 96.1% [166] 18074(3.3%) 4392(0.8%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [223] 71.9% ??? [178] 3.8% ----------------------------------------------------------------------------------------- ??? [156] 100.0% [167] 13160(2.4%) 1374(0.3%) ??? ...ects/racket/contract/private/hash.rkt:217:4 ??? [175] 89.6% ----------------------------------------------------------------------------------------- for-loop [237] 20.3% ??? [156] 79.7% [168] 12910(2.4%) 1962(0.4%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [236] 82.5% ??? [262] 2.3% ----------------------------------------------------------------------------------------- for-loop [255] 2.7% ??? [236] 17.1% ...prods/src/common.rkt:47:2 [159] 80.1% [169] 6146(1.1%) 1688(0.3%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [236] 75.3% ??? [259] 8.6% ----------------------------------------------------------------------------------------- ...prods/src/common.rkt:47:2 [159] 100.0% [170] 2298(0.4%) 322(0.1%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 return/no-unsupplied [240] 56.2% assoc-ref [179] 16.2% ??? [226] 13.6% ----------------------------------------------------------------------------------------- ??? [154] 100.0% [171] 1346(0.2%) 0(0.0%) ??? ...e/diff-of-prods/src/core/alt-table.rkt:54:0 ??? [202] 100.0% ----------------------------------------------------------------------------------------- ??? [154] 100.0% [172] 1074(0.2%) 0(0.0%) atab-add-altns ...rods/src/core/alt-table.rkt:50:0 atab-add-altn [174] 100.0% ----------------------------------------------------------------------------------------- ??? [154] 100.0% [173] 330(0.1%) 0(0.0%) split-atab ...of-prods/src/core/alt-table.rkt:74:0 for-loop [180] 100.0% ----------------------------------------------------------------------------------------- atab-add-altns [172] 4.5% for-loop [165] 95.5% [174] 23936(4.4%) 0(0.0%) atab-add-altn ...rods/src/core/alt-table.rkt:208:0 best-and-tied-at-points [181] 87.3% override-at-pnts [184] 12.7% ----------------------------------------------------------------------------------------- ??? [167] 100.0% [175] 11786(2.2%) 358(0.1%) ??? ...ects/racket/contract/private/list.rkt:169:2 ??? [182] 97.0% ----------------------------------------------------------------------------------------- simplify [43] 22.4% map [163] 77.6% [176] 4420(0.8%) 0(0.0%) simplify-node ...of-prods/src/core/reduce.rkt:50:0 append-map [183] 55.8% f6 [86] 29.9% combine-aterms [185] 14.3% ----------------------------------------------------------------------------------------- taylor-exp [22] 10.0% loop [217] 31.5% map [163] 58.5% [177] 3334(0.6%) 334(0.1%) ??? ...ket/collects/racket/private/list.rkt:323:18 f6 [86] 50.6% hash-ref! [234] 31.5% map [163] 7.9% ----------------------------------------------------------------------------------------- hash-has-key? [166] 100.0% [178] 686(0.1%) 686(0.1%) ??? ...ects/racket/contract/private/hash.rkt:245:7 ----------------------------------------------------------------------------------------- ??? [170] 100.0% [179] 372(0.1%) 372(0.1%) assoc-ref ...collects/racket/private/dict.rkt:56:0 ----------------------------------------------------------------------------------------- split-atab [173] 100.0% [180] 330(0.1%) 330(0.1%) for-loop ...f-of-prods/src/core/alt-table.rkt:75:2 ----------------------------------------------------------------------------------------- atab-add-altn [174] 100.0% [181] 20888(3.8%) 654(0.1%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [186] 93.5% for-loop [189] 3.4% ----------------------------------------------------------------------------------------- ??? [175] 100.0% [182] 11428(2.1%) 680(0.1%) ??? ...ects/racket/contract/private/list.rkt:678:5 for-loop [187] 94.0% ----------------------------------------------------------------------------------------- parse-loop12 [208] 4.9% simplify-node [176] 25.8% f6 [86] 69.3% [183] 6808(1.2%) 1020(0.2%) append-map ...acket/collects/racket/list.rkt:565:2 f6 [86] 38.6% parse-loop12 [208] 32.0% free-variables [188] 21.6% ----------------------------------------------------------------------------------------- atab-add-altn [174] 100.0% [184] 3048(0.6%) 352(0.1%) override-at-pnts ...s/src/core/alt-table.rkt:145:0 errors [186] 88.5% ----------------------------------------------------------------------------------------- simplify-node [176] 100.0% [185] 632(0.1%) 332(0.1%) combine-aterms ...-prods/src/core/reduce.rkt:183:0 for-loop [190] 47.5% ----------------------------------------------------------------------------------------- composed [90] 3.7% override-at-pnts [184] 5.9% option-on-expr [89] 7.4% loop [217] 13.3% pred [131] 26.9% best-and-tied-at-points [181] 42.8% [186] 45586(8.3%) 308(0.1%) errors ...erbie/diff-of-prods/src/points.rkt:218:0 for-loop [192] 64.1% eval-prog [191] 35.2% ----------------------------------------------------------------------------------------- ??? [182] 100.0% [187] 10748(2.0%) 3066(0.6%) for-loop ...racket/contract/private/list.rkt:680:9 add-list-context [194] 43.0% get/build-late-neg-projection [193] 28.5% ----------------------------------------------------------------------------------------- mterm->expr [84] 13.4% append-map [183] 86.6% [188] 2694(0.5%) 362(0.1%) free-variables ...-of-prods/src/programs.rkt:100:0 ??? [154] 86.6% ----------------------------------------------------------------------------------------- best-and-tied-at-points [181] 100.0% [189] 714(0.1%) 714(0.1%) for-loop ...of-prods/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------------------------- combine-aterms [185] 100.0% [190] 300(0.1%) 300(0.1%) for-loop ...iff-of-prods/src/core/reduce.rkt:185:4 ----------------------------------------------------------------------------------------- errors [186] 27.4% loop [149] 72.6% [191] 58552(10.7%) 13352(2.4%) eval-prog .../diff-of-prods/src/programs.rkt:148:0 hash-ref! [234] 50.8% f6 [86] 20.6% ??? [200] 1.7% ??? [201] 1.2% ??? [202] 1.2% parse-app [219] 1.2% ----------------------------------------------------------------------------------------- errors [186] 100.0% [192] 29212(5.3%) 1698(0.3%) for-loop ...bie/diff-of-prods/src/points.rkt:221:4 ??? [195] 77.8% ??? [202] 10.5% ulp-difference [197] 5.9% ----------------------------------------------------------------------------------------- unconstrained-domain->-projection [199] 10.5% ??? [198] 12.1% ??? [156] 32.7% for-loop [187] 44.7% [193] 6838(1.3%) 1368(0.3%) get/build-late-neg-projection ...te/guts.rkt:691:0 ??? [196] 59.7% ??? [198] 12.1% unconstrained-domain->-projection [199] 10.5% ----------------------------------------------------------------------------------------- for-loop [187] 100.0% [194] 4624(0.8%) 4624(0.8%) add-list-context ...ontract/private/list.rkt:752:0 ----------------------------------------------------------------------------------------- loop [155] 0.3% jloop [15] 1.3% loop [135] 3.8% map [163] 21.2% for-loop [192] 27.7% loop [217] 45.7% [195] 82138(15.0%) 3824(0.7%) ??? ...herbie/diff-of-prods/src/programs.rkt:154:4 ??? [203] 57.4% ??? [204] 29.9% ??? [202] 8.1% ----------------------------------------------------------------------------------------- get/build-late-neg-projection [193] 100.0% [196] 5470(1.0%) 2432(0.4%) ??? ...cts/racket/contract/private/prop.rkt:314:12 build-compound-type-name [205] 55.5% ----------------------------------------------------------------------------------------- for-loop [192] 100.0% [197] 1724(0.3%) 320(0.1%) ulp-difference ...diff-of-prods/src/float.rkt:19:0 ??? [226] 41.4% return/no-unsupplied [240] 40.0% ----------------------------------------------------------------------------------------- get/build-late-neg-projection [193] 100.0% [198] 1652(0.3%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:211:2 get/build-late-neg-projection [193] 100.0% ----------------------------------------------------------------------------------------- get/build-late-neg-projection [193] 100.0% [199] 1438(0.3%) 0(0.0%) unconstrained-domain->-projection ...rrow.rkt:60:0 get/build-late-neg-projection [193] 100.0% ----------------------------------------------------------------------------------------- eval-prog [191] 100.0% [200] 1024(0.2%) 360(0.1%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [207] 64.8% ----------------------------------------------------------------------------------------- eval-prog [191] 100.0% [201] 726(0.1%) 0(0.0%) ??? ...cket/collects/racket/private/kw.rkt:1633:36 unpack245 [206] 100.0% ----------------------------------------------------------------------------------------- jloop [15] 0.3% for-loop [221] 0.3% eval-prog [191] 0.7% ??? [171] 0.9% map [163] 1.4% loop [135] 2.8% for-loop [160] 2.9% for-loop [192] 3.2% loop [217] 4.0% ??? [195] 6.7% ??? [12] 8.1% f6 [86] 12.2% loop [27] 12.8% ??? [216] 21.8% for-loop [79] 21.8% [202] 94842(17.3%) 3044(0.6%) ??? ...tract/private/arrow-higher-order.rkt:342:33 ??? [216] 45.2% approximate9 [4] 21.8% hash-ref! [234] 20.9% ??? [259] 3.9% ??? [156] 1.5% ...prods/src/common.rkt:47:2 [159] 1.5% best-alt [17] 0.9% ->bf [215] 0.7% ??? [236] 0.4% ----------------------------------------------------------------------------------------- ??? [195] 100.0% [203] 47118(8.6%) 20192(3.7%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [218] 35.7% ??? [210] 7.3% bf* [211] 6.3% ??? [212] 5.7% ??? [262] 1.3% parse-loop12 [208] 0.8% ----------------------------------------------------------------------------------------- ??? [195] 100.0% [204] 24530(4.5%) 1032(0.2%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [209] 95.8% ----------------------------------------------------------------------------------------- contract-struct-name [213] 11.1% ??? [196] 88.9% [205] 3038(0.6%) 2010(0.4%) build-compound-type-name ...private/guts.rkt:448:0 contract-struct-name [213] 45.0% ----------------------------------------------------------------------------------------- ??? [201] 100.0% [206] 726(0.1%) 0(0.0%) unpack245 ...private/arrow-higher-order.rkt:354:44 maybe-cons-kwd [214] 100.0% ----------------------------------------------------------------------------------------- ??? [200] 100.0% [207] 664(0.1%) 664(0.1%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ----------------------------------------------------------------------------------------- composed [90] 0.4% eval-const-expr [61] 0.7% ??? [203] 0.8% f6 [86] 0.9% type-of-enode-expr [144] 1.7% loop [217] 3.8% for-loop [34] 4.1% append-map [183] 5.5% hash-ref! [234] 6.3% simplify [43] 21.3% parse-loop12 [208] 25.4% map [163] 28.9% [208] 41670(7.6%) 21336(3.9%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 parse-loop12 [208] 25.4% f6 [86] 12.7% loop [217] 10.7% map [163] 5.6% make-multiplication-node [56] 3.4% ??? [218] 3.2% simplify* [225] 2.7% simplify [43] 2.5% parse-app [219] 1.9% for-loop [21] 0.7% ??? [57] 0.6% append-map [183] 0.4% ----------------------------------------------------------------------------------------- ??? [204] 100.0% [209] 23498(4.3%) 17460(3.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [239] 25.7% ----------------------------------------------------------------------------------------- ??? [203] 100.0% [210] 3462(0.6%) 1430(0.3%) ??? .../diff-of-prods/src/syntax/syntax.rkt:122:17 ??? [226] 29.5% return/no-unsupplied [240] 29.2% ----------------------------------------------------------------------------------------- ??? [203] 100.0% [211] 2990(0.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [218] 100.0% ----------------------------------------------------------------------------------------- ??? [203] 100.0% [212] 2674(0.5%) 2674(0.5%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 ----------------------------------------------------------------------------------------- build-compound-type-name [205] 100.0% [213] 1704(0.3%) 1028(0.2%) contract-struct-name ...ract/private/prop.rkt:89:0 build-compound-type-name [205] 39.7% ----------------------------------------------------------------------------------------- unpack245 [206] 100.0% [214] 726(0.1%) 0(0.0%) maybe-cons-kwd ...ate/arrow-higher-order.rkt:498:0 successfully-got-the-right-kind-of-function [220] 50.7% arrow-higher-order:lnp [245] 49.3% ----------------------------------------------------------------------------------------- ??? [202] 100.0% [215] 684(0.1%) 0(0.0%) ->bf ...herbie/diff-of-prods/src/programs.rkt:51:0 ...prods/src/common.rkt:47:2 [159] 54.4% ??? [216] 45.6% ----------------------------------------------------------------------------------------- simplify-alt [49] 0.0% ->bf [215] 0.1% f6 [86] 0.2% get-sigs [150] 1.3% for-loop [67] 1.6% ??? [216] 13.7% ??? [202] 16.8% for-loop [221] 28.5% ??? [72] 37.6% [216] 389076(71.1%) 23734(4.3%) ??? ...llects/racket/private/norm-define.rkt:53:83 iterate-egraph!13 [3] 34.3% for-loop [221] 28.6% ??? [216] 13.7% ??? [202] 11.0% loop [9] 3.2% ??? [223] 2.7% return/no-unsupplied [240] 1.1% ??? [226] 0.6% ??? [236] 0.2% mk-egraph [231] 0.2% list-member? [228] 0.1% ----------------------------------------------------------------------------------------- make-exacts* [158] 0.0% map-enodes [33] 0.3% for-loop [112] 0.4% option-on-expr [89] 0.9% match-e [102] 1.1% map [163] 2.0% loop! [222] 3.4% parse-loop12 [208] 3.9% ??? [10] 12.1% f6 [86] 26.9% loop [217] 48.7% [217] 182492(33.4%) 2772(0.5%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [217] 48.7% option-on-expr [89] 26.3% hash-ref! [234] 12.1% loop! [222] 3.3% parse-loop12 [208] 2.8% ??? [195] 1.6% f6 [86] 1.1% errors [186] 0.9% simplify [43] 0.7% foldl [229] 0.5% for-loop [47] 0.3% ??? [202] 0.3% simplify* [225] 0.2% curried [230] 0.1% ??? [177] 0.1% ----------------------------------------------------------------------------------------- parse-loop12 [208] 6.2% bf* [211] 14.1% ??? [203] 79.6% [218] 21132(3.9%) 3042(0.6%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfdiv [224] 63.5% bfneg [227] 22.1% ----------------------------------------------------------------------------------------- eval-prog [191] 33.5% parse-loop12 [208] 66.5% [219] 2044(0.4%) 1692(0.3%) parse-app .../collects/racket/private/kw.rkt:951:2 loop [233] 17.2% ----------------------------------------------------------------------------------------- maybe-cons-kwd [214] 100.0% [220] 368(0.1%) 0(0.0%) successfully-got-the-right-kind-of-function ...9:4 arity-checking-wrapper [232] 100.0% ----------------------------------------------------------------------------------------- ??? [216] 100.0% [221] 230130(42.1%) 0(0.0%) for-loop ...f-of-prods/src/core/simplify.rkt:63:12 ??? [216] 99.9% ??? [202] 0.1% ----------------------------------------------------------------------------------------- for-loop [125] 4.5% merge-egraph-nodes! [113] 10.0% loop [217] 29.1% for-loop [101] 56.4% [222] 49726(9.1%) 10126(1.9%) loop! ...ie/diff-of-prods/src/core/enode.rkt:192:2 custom-set-union [235] 39.9% loop [217] 31.9% set [238] 12.3% update-en-expr [241] 3.7% ----------------------------------------------------------------------------------------- hash-has-key? [166] 33.6% ??? [216] 66.4% [223] 38722(7.1%) 15760(2.9%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [237] 44.6% ??? [252] 9.3% ??? [236] 1.9% arrow-higher-order:lnp [245] 1.8% ??? [259] 1.7% ----------------------------------------------------------------------------------------- ??? [218] 100.0% [224] 13412(2.5%) 8026(1.5%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [239] 40.2% ----------------------------------------------------------------------------------------- loop [217] 4.1% simplify [43] 11.7% parse-loop12 [208] 27.5% map [163] 56.6% [225] 8720(1.6%) 4604(0.8%) simplify* ...iff-of-prods/src/core/reduce.rkt:31:0 hash-ref! [234] 20.3% ??? [247] 11.7% return/no-unsupplied [240] 7.9% ??? [154] 7.3% ----------------------------------------------------------------------------------------- flag-set? [147] 5.4% ??? [170] 5.8% ulp-difference [197] 13.2% ??? [210] 18.9% ??? [216] 56.6% [226] 5396(1.0%) 1040(0.2%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [242] 74.9% ??? [259] 5.8% ----------------------------------------------------------------------------------------- ??? [218] 100.0% [227] 4678(0.9%) 4046(0.7%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [239] 13.5% ----------------------------------------------------------------------------------------- ??? [216] 10.6% for-loop [101] 89.4% [228] 3466(0.6%) 366(0.1%) list-member? ...llects/racket/private/set.rkt:24:0 loop [243] 68.8% member [248] 20.7% ----------------------------------------------------------------------------------------- loop [217] 100.0% [229] 2074(0.4%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [244] 100.0% ----------------------------------------------------------------------------------------- loop [217] 18.6% for-loop [112] 20.3% map-enodes [33] 20.5% for-loop [47] 40.5% [230] 1762(0.3%) 1762(0.3%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------------------------- ??? [216] 100.0% [231] 1378(0.3%) 0(0.0%) mk-egraph ...ff-of-prods/src/core/egraph.rkt:123:0 expr->enode [246] 75.8% mk-enode! [118] 24.2% ----------------------------------------------------------------------------------------- successfully-got-the-right-kind-of-function [220]100.0% [232] 368(0.1%) 368(0.1%) arity-checking-wrapper ...w-higher-order.rkt:402:0 ----------------------------------------------------------------------------------------- loop [233] 50.0% parse-app [219] 50.0% [233] 352(0.1%) 352(0.1%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [233] 50.0% ----------------------------------------------------------------------------------------- for-loop [36] 0.0% ??? [13] 0.0% ??? [16] 0.1% for-loop [37] 0.1% first-nonzero-exp [35] 0.2% simplify* [225] 0.2% update-leader! [122] 0.4% ??? [5] 0.9% ??? [10] 1.1% ??? [177] 1.1% ??? [12] 1.4% compile [75] 1.7% for-loop [46] 2.4% for-loop [30] 3.5% for-loop [28] 4.2% loop [27] 5.5% ??? [202] 9.7% eval-prog [191] 11.0% for-loop [29] 12.0% loop [217] 20.1% ??? [44] 21.9% [234] 95318(17.4%) 5186(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [10] 21.6% ??? [6] 20.9% ??? [7] 12.1% bigfloat-hash [249] 11.0% ??? [5] 7.5% ??? [12] 6.9% simplify [43] 6.4% ??? [8] 3.6% parse-loop12 [208] 2.5% f6 [86] 2.5% ??? [11] 2.5% ??? [16] 0.2% ??? [13] 0.2% ----------------------------------------------------------------------------------------- adopt-enode! [141] 1.5% loop! [222] 98.5% [235] 22236(4.1%) 5818(1.1%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [250] 55.2% for-loop [253] 18.6% ----------------------------------------------------------------------------------------- ??? [202] 1.9% ??? [223] 3.9% ??? [216] 5.6% ??? [169] 31.4% for-loop [168] 57.2% [236] 18622(3.4%) 4492(0.8%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [251] 55.3% ??? [169] 11.3% for-loop [255] 9.3% ----------------------------------------------------------------------------------------- ??? [223] 100.0% [237] 17286(3.2%) 9032(1.7%) for-loop ...acket/contract/private/list.rkt:743:12 ??? [252] 30.6% for-loop [168] 15.1% ??? [257] 2.0% ----------------------------------------------------------------------------------------- new-enode [132] 5.3% loop! [222] 94.7% [238] 12914(2.4%) 12914(2.4%) set ...collects/racket/private/set-types.rkt:981:0 ----------------------------------------------------------------------------------------- bfneg [227] 5.2% bfdiv [224] 44.7% real->bigfloat [209] 50.1% [239] 12056(2.2%) 12056(2.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------------------------- debug7 [63] 4.4% simplify* [225] 8.2% ulp-difference [197] 8.2% ??? [210] 12.0% ??? [170] 15.4% ??? [216] 51.8% [240] 8400(1.5%) 5816(1.1%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [254] 30.8% ----------------------------------------------------------------------------------------- loop! [222] 49.4% for-loop [164] 50.6% [241] 7518(1.4%) 7518(1.4%) update-en-expr ...-prods/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------------------------- ??? [226] 100.0% [242] 4044(0.7%) 4044(0.7%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ----------------------------------------------------------------------------------------- list-member? [228] 100.0% [243] 2384(0.4%) 2384(0.4%) loop (unknown source) ----------------------------------------------------------------------------------------- foldl [229] 100.0% [244] 2074(0.4%) 2074(0.4%) merge2 ...e/diff-of-prods/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------------------------- maybe-cons-kwd [214] 34.0% ??? [223] 66.0% [245] 1054(0.2%) 0(0.0%) arrow-higher-order:lnp ...w-higher-order.rkt:597:7 ??? [256] 100.0% ----------------------------------------------------------------------------------------- mk-egraph [231] 31.9% expr->enode [246] 68.1% [246] 1044(0.2%) 0(0.0%) expr->enode ...-of-prods/src/core/egraph.rkt:124:2 expr->enode [246] 68.1% mk-enode! [118] 31.9% ----------------------------------------------------------------------------------------- simplify* [225] 100.0% [247] 1024(0.2%) 662(0.1%) ??? ...racket/collects/racket/private/kw.rkt:762:9 ??? [259] 35.4% ----------------------------------------------------------------------------------------- list-member? [228] 100.0% [248] 716(0.1%) 716(0.1%) member (unknown source) ----------------------------------------------------------------------------------------- hash-ref! [234] 100.0% [249] 29378(5.4%) 342(0.1%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [258] 97.6% sig+exp->bigfloat [263] 1.2% ----------------------------------------------------------------------------------------- custom-set-union [235] 100.0% [250] 12276(2.2%) 4436(0.8%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [260] 63.9% ----------------------------------------------------------------------------------------- ??? [236] 100.0% [251] 10292(1.9%) 1724(0.3%) ??? ...ects/racket/contract/private/list.rkt:686:7 ??? [259] 80.1% ??? [262] 3.1% ----------------------------------------------------------------------------------------- ??? [223] 40.5% for-loop [237] 59.5% [252] 8872(1.6%) 2910(0.5%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [261] 67.2% ----------------------------------------------------------------------------------------- custom-set-union [235] 100.0% [253] 4142(0.8%) 4142(0.8%) for-loop ...cts/racket/private/set-types.rkt:152:2 ----------------------------------------------------------------------------------------- for-loop [112] 11.4% return/no-unsupplied [240] 88.6% [254] 2918(0.5%) 2918(0.5%) filter ...t/collects/racket/private/list.rkt:256:2 ----------------------------------------------------------------------------------------- ??? [236] 100.0% [255] 1730(0.3%) 1398(0.3%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [169] 19.2% ----------------------------------------------------------------------------------------- arrow-higher-order:lnp [245] 100.0% [256] 1054(0.2%) 1054(0.2%) ??? ...et/contract/private/arity-checking.rkt:19:2 ----------------------------------------------------------------------------------------- for-loop [237] 100.0% [257] 354(0.1%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:222:6 check-hash/c [264] 100.0% ----------------------------------------------------------------------------------------- bigfloat-hash [249] 100.0% [258] 28676(5.2%) 27978(5.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [266] 2.4% ----------------------------------------------------------------------------------------- ??? [226] 2.2% ??? [247] 2.6% ??? [223] 3.6% ??? [169] 7.5% ??? [202] 25.1% ??? [251] 59.0% [259] 13980(2.6%) 9990(1.8%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ??? [154] 22.5% contract? [267] 4.9% dict? [270] 2.2% ----------------------------------------------------------------------------------------- for-loop [250] 100.0% [260] 7840(1.4%) 7840(1.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------------------------- ??? [252] 100.0% [261] 5962(1.1%) 5962(1.1%) make-keyword-procedure ...ket/private/kw.rkt:260:4 ----------------------------------------------------------------------------------------- for-loop [168] 15.7% ??? [251] 16.9% ??? [203] 32.8% ??? [161] 34.6% [262] 1902(0.3%) 624(0.1%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [265] 67.2% ----------------------------------------------------------------------------------------- bigfloat-hash [249] 100.0% [263] 360(0.1%) 0(0.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [268] 100.0% ----------------------------------------------------------------------------------------- ??? [257] 100.0% [264] 354(0.1%) 0(0.0%) check-hash/c ...ket/contract/private/hash.rkt:83:0 flat-contract? [269] 100.0% ----------------------------------------------------------------------------------------- ??? [262] 100.0% [265] 1278(0.2%) 298(0.1%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [271] 76.7% ----------------------------------------------------------------------------------------- bfcanonicalize [258] 100.0% [266] 698(0.1%) 346(0.1%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 size+limbs->integer [272] 50.4% ----------------------------------------------------------------------------------------- ??? [259] 100.0% [267] 692(0.1%) 692(0.1%) contract? ...acket/contract/private/guts.rkt:109:0 ----------------------------------------------------------------------------------------- sig+exp->bigfloat [263] 100.0% [268] 360(0.1%) 360(0.1%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 ----------------------------------------------------------------------------------------- check-hash/c [264] 100.0% [269] 354(0.1%) 354(0.1%) flat-contract? .../contract/private/guts.rkt:111:0 ----------------------------------------------------------------------------------------- ??? [259] 100.0% [270] 312(0.1%) 312(0.1%) dict? ...ollects/racket/private/generic.rkt:146:11 ----------------------------------------------------------------------------------------- ??? [265] 100.0% [271] 980(0.2%) 980(0.2%) ??? ...ects/racket/contract/private/list.rkt:141:5 ----------------------------------------------------------------------------------------- bigfloat->sig+exp [266] 100.0% [272] 352(0.1%) 352(0.1%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 -----------------------------------------------------------------------------------------