Profiling results ----------------- Total cpu time observed: 1658968ms (out of 1665124ms) Number of samples taken: 6701 (once every 248ms) (Hiding functions with self<1.0% and local<2.0%: 24 of 299 hidden) ========================================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================================== ??? [69] 100.0% [1] 1248522(75.3%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [17] 100.0% ------------------------------------------------------------------------------------------ ??? [69] 100.0% [2] 1181946(71.2%) 0(0.0%) run-improve50 ...ie/develop/src/mainloop.rkt:234:0 for-loop [18] 91.9% get-final-combination [21] 6.4% loop [83] 1.4% setup-alt-simplified [26] 0.3% ??? [133] 0.0% ------------------------------------------------------------------------------------------ ??? [169] 100.0% [3] 1080882(65.2%) 946(0.1%) iterate-egraph!13 ...p/src/core/simplify.rkt:105:0 one-iter [19] 98.8% map-enodes [22] 1.1% ------------------------------------------------------------------------------------------ ??? [169] 100.0% [4] 209042(12.6%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:237:2 pass [20] 100.0% ------------------------------------------------------------------------------------------ f137 [94] 3.3% substitute-e [64] 10.1% match-e [48] 86.6% [5] 28142(1.7%) 1002(0.1%) variable? ...e/develop/src/syntax/syntax.rkt:662:0 ??? [133] 96.4% ------------------------------------------------------------------------------------------ ??? [165] 100.0% [6] 12732(0.8%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [23] 79.3% f137 [94] 8.0% for-loop [30] 7.4% taylor [114] 2.6% taylor-exp [43] 2.6% ------------------------------------------------------------------------------------------ loop [238] 100.0% [7] 11190(0.7%) 2802(0.2%) for-loop ...ie/develop/src/core/simplify.rkt:195:2 setfindf [24] 64.5% compose [149] 5.3% eval-const-expr [33] 2.9% curry* [79] 2.3% ------------------------------------------------------------------------------------------ hash-ref! [214] 100.0% [8] 4980(0.3%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:285:26 for-loop [25] 100.0% ------------------------------------------------------------------------------------------ copying-mergesort [156] 100.0% [9] 4118(0.2%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [212] 94.7% ??? [165] 5.3% ------------------------------------------------------------------------------------------ hash-ref! [214] 100.0% [10] 2936(0.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:295:23 for-loop [27] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [214] 100.0% [11] 1946(0.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:392:23 for-loop [28] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [214] 100.0% [12] 1036(0.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:483:23 for-loop [29] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [214] 100.0% [13] 936(0.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:322:33 for-loop [31] 100.0% ------------------------------------------------------------------------------------------ append-map [246] 100.0% [14] 712(0.0%) 0(0.0%) free-variables ...e/develop/src/programs.rkt:100:0 ??? [133] 100.0% ------------------------------------------------------------------------------------------ f137 [94] 100.0% [15] 686(0.0%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:312:0 simplify [53] 100.0% ------------------------------------------------------------------------------------------ f137 [94] 100.0% [16] 404(0.0%) 0(0.0%) exprs-to-branch-on ...op/src/core/regimes.rkt:42:0 for-loop [32] 100.0% ------------------------------------------------------------------------------------------ profile-thunk16 [1] 99.9% [17] 1249528(75.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [69] 100.0% ------------------------------------------------------------------------------------------ run-improve50 [2] 100.0% [18] 1086178(65.5%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:249:10 run-iter! [34] 100.0% ------------------------------------------------------------------------------------------ iterate-egraph!13 [3] 100.0% [19] 1067514(64.3%) 8906(0.5%) one-iter ...ie/develop/src/core/simplify.rkt:116:0 for-loop [35] 79.3% for-loop [36] 19.8% loop [166] 0.1% ------------------------------------------------------------------------------------------ loop [4] 100.0% [20] 209042(12.6%) 0(0.0%) pass ...herbie/develop/src/core/simplify.rkt:227:2 for-loop [37] 99.8% ------------------------------------------------------------------------------------------ run-improve50 [2] 100.0% [21] 75296(4.5%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:264:0 split-table [38] 99.9% ------------------------------------------------------------------------------------------ iterate-egraph!13 [3] 100.0% [22] 12422(0.7%) 0(0.0%) map-enodes ...ie/develop/src/core/egraph.rkt:140:0 loop [238] 97.3% hash-keys [45] 2.7% ------------------------------------------------------------------------------------------ approximate9 [6] 100.0% [23] 10096(0.6%) 300(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 hash-ref! [214] 97.0% ------------------------------------------------------------------------------------------ for-loop [7] 100.0% [24] 7216(0.4%) 3924(0.2%) setfindf ...es/herbie/develop/src/common.rkt:184:0 for-loop [40] 40.9% ??? [133] 4.7% ------------------------------------------------------------------------------------------ ??? [8] 100.0% [25] 4980(0.3%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:285:52 hash-ref! [214] 46.4% ??? [42] 27.9% simplify [53] 25.7% ------------------------------------------------------------------------------------------ run-improve50 [2] 100.0% [26] 3580(0.2%) 0(0.0%) setup-alt-simplified .../develop/src/glue.rkt:49:0 simplify-alt [39] 100.0% ------------------------------------------------------------------------------------------ ??? [10] 100.0% [27] 2936(0.2%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:298:27 hash-ref! [214] 88.6% simplify [53] 11.4% ------------------------------------------------------------------------------------------ ??? [11] 100.0% [28] 1946(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:396:33 for-loop [41] 100.0% ------------------------------------------------------------------------------------------ ??? [12] 100.0% [29] 1036(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:487:35 parse-loop12 [234] 100.0% ------------------------------------------------------------------------------------------ approximate9 [6] 100.0% [30] 942(0.1%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:29:18 f137 [94] 66.9% taylor-exp [43] 33.1% ------------------------------------------------------------------------------------------ ??? [13] 100.0% [31] 936(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:324:46 hash-ref! [214] 68.2% simplify [53] 31.8% ------------------------------------------------------------------------------------------ exprs-to-branch-on [16] 100.0% [32] 404(0.0%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:44:27 all-critical-subexpressions [44] 100.0% ------------------------------------------------------------------------------------------ for-loop [7] 100.0% [33] 322(0.0%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:166:0 f137 [94] 100.0% ------------------------------------------------------------------------------------------ for-loop [18] 100.0% [34] 1086178(65.5%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:215:0 simplify! [46] 92.1% finalize-iter! [51] 5.9% gen-series! [52] 1.2% choose-best-alt! [55] 0.5% gen-rewrites! [57] 0.2% ------------------------------------------------------------------------------------------ one-iter [19] 100.0% [35] 846596(51.0%) 6422(0.4%) for-loop ...ie/develop/src/core/simplify.rkt:166:2 for-loop [47] 92.6% match-e [48] 6.1% reduce-to-single! [56] 0.5% update-leader! [72] 0.0% ------------------------------------------------------------------------------------------ for-loop [36] 49.2% one-iter [19] 50.8% [36] 211102(12.7%) 38088(2.3%) for-loop ...e/develop/src/core/simplify.rkt:126:12 for-loop [36] 49.2% match-e [48] 40.7% ??? [87] 0.3% ------------------------------------------------------------------------------------------ pass [20] 100.0% [37] 208712(12.6%) 2312(0.1%) for-loop ...e/develop/src/core/simplify.rkt:230:29 argmin [49] 64.1% loop [50] 31.7% for-loop [54] 2.9% make-sequence [267] 0.3% ------------------------------------------------------------------------------------------ get-final-combination [21] 100.0% [38] 75188(4.5%) 0(0.0%) split-table ...s/herbie/develop/src/glue.rkt:162:0 f137 [94] 99.6% ??? [133] 0.4% ------------------------------------------------------------------------------------------ setup-alt-simplified [26] 100.0% [39] 3580(0.2%) 0(0.0%) simplify-alt ...s/herbie/develop/src/glue.rkt:76:0 ??? [169] 100.0% ------------------------------------------------------------------------------------------ setfindf [24] 100.0% [40] 2954(0.2%) 2954(0.2%) for-loop ...es/herbie/develop/src/common.rkt:185:2 ------------------------------------------------------------------------------------------ for-loop [28] 100.0% [41] 1946(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:398:39 hash-ref! [214] 100.0% ------------------------------------------------------------------------------------------ for-loop [25] 100.0% [42] 1570(0.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:288:19 hash-ref! [214] 100.0% ------------------------------------------------------------------------------------------ for-loop [30] 48.1% approximate9 [6] 51.9% [43] 648(0.0%) 0(0.0%) taylor-exp ...ie/develop/src/core/taylor.rkt:386:0 simplify [53] 100.0% ------------------------------------------------------------------------------------------ for-loop [32] 100.0% [44] 404(0.0%) 0(0.0%) all-critical-subexpressions ...re/regimes.rkt:58:0 for-loop [58] 100.0% ------------------------------------------------------------------------------------------ map-enodes [22] 100.0% [45] 336(0.0%) 0(0.0%) hash-keys .../collects/racket/private/hash.rkt:2:2 loop [59] 100.0% ------------------------------------------------------------------------------------------ run-iter! [34] 100.0% [46] 1000504(60.3%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:155:0 for-loop [60] 100.0% ------------------------------------------------------------------------------------------ for-loop [35] 100.0% [47] 783724(47.2%) 2646(0.2%) for-loop ...e/develop/src/core/simplify.rkt:148:10 mk-enode! [70] 32.1% merge-egraph-nodes! [61] 29.3% loop! [82] 18.6% substitute-e [64] 18.2% list-member? [179] 1.4% ------------------------------------------------------------------------------------------ for-loop [35] 14.1% for-loop [71] 26.6% for-loop [36] 59.3% [48] 223636(13.5%) 70060(4.2%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [63] 49.2% for-loop [71] 7.9% ??? [133] 7.1% variable? [5] 4.4% list-cartesian-product [75] 2.2% loop [238] 2.0% custom-in-set [274] 0.8% curry* [79] 0.2% filter [256] 0.2% ------------------------------------------------------------------------------------------ for-loop [37] 100.0% [49] 133700(8.1%) 988(0.1%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [62] 89.5% expression-cost [65] 9.7% ------------------------------------------------------------------------------------------ for-loop [37] 100.0% [50] 66066(4.0%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 for-loop [62] 89.8% expression-cost [65] 10.2% ------------------------------------------------------------------------------------------ run-iter! [34] 100.0% [51] 63700(3.8%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:169:0 ??? [133] 100.0% ------------------------------------------------------------------------------------------ run-iter! [34] 100.0% [52] 12732(0.8%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:129:0 for-loop [66] 100.0% ------------------------------------------------------------------------------------------ for-loop [31] 3.0% loop [238] 3.4% for-loop [27] 3.4% taylor-exp [43] 6.5% taylor-invert [15] 6.9% for-loop [25] 12.8% hash-ref! [214] 64.1% [53] 9988(0.6%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f137 [94] 75.8% debug7 [126] 6.3% parse-loop12 [234] 6.0% debug-print [125] 5.8% simplify* [122] 3.4% simplify-node [129] 2.7% ------------------------------------------------------------------------------------------ for-loop [37] 100.0% [54] 6008(0.4%) 6008(0.4%) for-loop ...e/develop/src/core/simplify.rkt:217:13 ------------------------------------------------------------------------------------------ run-iter! [34] 100.0% [55] 5968(0.4%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:115:0 ??? [133] 100.0% ------------------------------------------------------------------------------------------ for-loop [35] 100.0% [56] 4232(0.3%) 1558(0.1%) reduce-to-single! ...lop/src/core/egraph.rkt:325:0 for-loop [67] 55.0% make-sequence [267] 8.2% ------------------------------------------------------------------------------------------ run-iter! [34] 100.0% [57] 1636(0.1%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:142:0 for-loop [68] 100.0% ------------------------------------------------------------------------------------------ all-critical-subexpressions [44] 100.0% [58] 404(0.0%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:62:2 f137 [94] 100.0% ------------------------------------------------------------------------------------------ hash-keys [45] 1.9% loop [59] 98.1% [59] 336(0.0%) 336(0.0%) loop ...acket/collects/racket/private/hash.rkt:3:4 loop [59] 98.1% ------------------------------------------------------------------------------------------ simplify! [46] 100.0% [60] 1000504(60.3%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:159:6 ??? [69] 100.0% ------------------------------------------------------------------------------------------ merge-egraph-nodes! [61] 2.7% for-loop [74] 3.0% for-loop [47] 94.3% [61] 229794(13.9%) 8734(0.5%) merge-egraph-nodes! ...p/src/core/egraph.rkt:153:0 update-leader! [72] 44.0% for-loop [73] 17.6% for-loop [74] 13.9% loop! [82] 12.5% enode-merge! [78] 3.8% merge-egraph-nodes! [61] 2.7% for-loop [192] 1.0% make-sequence [267] 0.7% ------------------------------------------------------------------------------------------ loop [50] 33.1% argmin [49] 66.9% [62] 179006(10.8%) 4012(0.2%) for-loop .../herbie/develop/src/programs.rkt:208:2 ??? [169] 69.4% ...velop/src/common.rkt:47:2 [170] 26.0% ??? [176] 2.3% ------------------------------------------------------------------------------------------ match-e [48] 100.0% [63] 144288(8.7%) 44550(2.7%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [71] 56.4% list-cartesian-product [75] 9.1% loop [238] 5.9% curry* [79] 0.8% foldl [257] 0.5% loop [166] 0.2% ------------------------------------------------------------------------------------------ substitute-e [64] 5.9% for-loop [47] 94.1% [64] 142780(8.6%) 5438(0.3%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 mk-enode! [70] 88.0% substitute-e [64] 5.9% ??? [133] 2.5% variable? [5] 0.8% ------------------------------------------------------------------------------------------ loop [50] 34.2% argmin [49] 65.8% [65] 19772(1.2%) 0(0.0%) expression-cost .../develop/src/programs.rkt:207:0 compile [76] 100.0% ------------------------------------------------------------------------------------------ gen-series! [52] 100.0% [66] 12732(0.8%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:135:7 taylor-alt [77] 100.0% ------------------------------------------------------------------------------------------ reduce-to-single! [56] 100.0% [67] 2328(0.1%) 2328(0.1%) for-loop ...rbie/develop/src/core/egraph.rkt:326:8 ------------------------------------------------------------------------------------------ gen-rewrites! [57] 100.0% [68] 1636(0.1%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:147:11 ??? [80] 100.0% ------------------------------------------------------------------------------------------ for-loop [60] 21.7% run [17] 29.8% [69] 1537102(92.7%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 ??? [169] 39.8% profile-thunk16 [1] 29.8% run-improve50 [2] 27.9% loop [83] 2.5% ------------------------------------------------------------------------------------------ mk-egraph [181] 0.2% mk-enode-rec! [193] 0.7% substitute-e [64] 33.0% for-loop [47] 66.1% [70] 381088(23.0%) 37494(2.3%) mk-enode! ...bie/develop/src/core/egraph.rkt:102:0 new-enode [81] 87.7% hash-has-key? [143] 2.0% mutable-set [100] 0.4% ------------------------------------------------------------------------------------------ match-e [48] 26.2% for-loop [63] 73.8% [71] 114420(6.9%) 6980(0.4%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [48] 92.9% ??? [87] 2.2% ------------------------------------------------------------------------------------------ for-loop [35] 0.3% merge-egraph-nodes! [61] 99.7% [72] 106542(6.4%) 11232(0.7%) update-leader! ...evelop/src/core/egraph.rkt:218:0 for-loop [84] 82.8% update-en-expr [200] 3.9% custom-set-union! [90] 1.5% hash-ref! [214] 0.6% mutable-set [100] 0.3% make-sequence [267] 0.3% ------------------------------------------------------------------------------------------ merge-egraph-nodes! [61] 100.0% [73] 41178(2.5%) 32422(2.0%) for-loop ...rbie/develop/src/core/egraph.rkt:233:6 update-en-expr [200] 21.3% ------------------------------------------------------------------------------------------ merge-egraph-nodes! [61] 100.0% [74] 38716(2.3%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:201:10 loop! [82] 65.2% merge-egraph-nodes! [61] 34.8% ------------------------------------------------------------------------------------------ match-e [48] 19.6% list-cartesian-product [75] 26.3% for-loop [63] 54.2% [75] 21794(1.3%) 20144(1.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [75] 26.3% for-loop [88] 6.1% ------------------------------------------------------------------------------------------ expression-cost [65] 100.0% [76] 19772(1.2%) 548(0.0%) compile ...s/herbie/develop/src/programs.rkt:184:0 hash-ref! [214] 97.2% ------------------------------------------------------------------------------------------ for-loop [66] 100.0% [77] 12732(0.8%) 0(0.0%) taylor-alt ...es/herbie/develop/src/glue.rkt:134:0 for-loop [85] 100.0% ------------------------------------------------------------------------------------------ merge-egraph-nodes! [61] 100.0% [78] 9268(0.6%) 1484(0.1%) enode-merge! ...e/develop/src/core/enode.rkt:129:0 adopt-enode! [86] 72.0% custom-set-intersect! [92] 12.0% ------------------------------------------------------------------------------------------ for-loop [7] 12.1% match-e [48] 26.3% for-loop [63] 61.6% [79] 2132(0.1%) 606(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [91] 71.6% ------------------------------------------------------------------------------------------ for-loop [68] 100.0% [80] 1636(0.1%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:88:0 rewriter [89] 100.0% ------------------------------------------------------------------------------------------ mk-enode! [70] 100.0% [81] 334266(20.1%) 2132(0.1%) new-enode ...erbie/develop/src/core/enode.rkt:97:0 type-of-enode-expr [93] 98.4% set [97] 0.5% mutable-set [100] 0.3% ------------------------------------------------------------------------------------------ for-loop [74] 8.4% merge-egraph-nodes! [61] 11.9% loop [238] 29.2% for-loop [47] 50.5% [82] 206252(12.4%) 37602(2.3%) loop! ...s/herbie/develop/src/core/enode.rkt:192:2 custom-set-union [95] 39.0% loop [238] 33.1% set [97] 12.6% update-en-expr [200] 5.4% ------------------------------------------------------------------------------------------ run-improve50 [2] 13.8% pred [160] 22.8% ??? [69] 63.4% [83] 120304(7.3%) 154(0.0%) loop ...htlies/herbie/develop/src/points.rkt:205:2 make-exacts* [108] 41.5% loop [110] 28.7% loop [98] 25.3% for-loop [99] 4.5% ------------------------------------------------------------------------------------------ update-leader! [72] 100.0% [84] 88254(5.3%) 2994(0.2%) for-loop ...rbie/develop/src/core/egraph.rkt:223:6 for-loop [96] 96.6% ------------------------------------------------------------------------------------------ taylor-alt [77] 100.0% [85] 12732(0.8%) 0(0.0%) for-loop ...lies/herbie/develop/src/glue.rkt:139:6 ??? [165] 100.0% ------------------------------------------------------------------------------------------ enode-merge! [78] 100.0% [86] 6672(0.4%) 1812(0.1%) adopt-enode! ...e/develop/src/core/enode.rkt:105:0 custom-set-union [95] 72.8% ------------------------------------------------------------------------------------------ for-loop [36] 33.8% for-loop [71] 66.2% [87] 3740(0.2%) 2540(0.2%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 for-loop [102] 32.1% ------------------------------------------------------------------------------------------ list-cartesian-product [75] 100.0% [88] 1650(0.1%) 1650(0.1%) for-loop ...erbie/develop/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------------------------ matcher [115] 48.6% ??? [80] 51.4% [89] 1636(0.1%) 278(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [101] 48.6% *rules* [103] 23.7% f137 [94] 22.0% ------------------------------------------------------------------------------------------ update-leader! [72] 100.0% [90] 1572(0.1%) 936(0.1%) custom-set-union! ...t/private/set-types.rkt:245:0 for-loop [104] 40.5% ------------------------------------------------------------------------------------------ curry* [79] 100.0% [91] 1526(0.1%) 1526(0.1%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------------------------------ enode-merge! [78] 100.0% [92] 1112(0.1%) 1112(0.1%) custom-set-intersect! ...ivate/set-types.rkt:269:0 ------------------------------------------------------------------------------------------ new-enode [81] 100.0% [93] 328946(19.8%) 4992(0.3%) type-of-enode-expr ...elop/src/core/enode.rkt:68:0 get-sigs [105] 98.3% parse-loop12 [234] 0.2% ------------------------------------------------------------------------------------------ for-loop [58] 0.1% for-loop [248] 0.1% simplify-node [129] 0.1% ??? [123] 0.2% eval-const-expr [33] 0.3% rewriter [89] 0.4% for-loop [30] 0.4% append-map [246] 0.5% parse-loop12 [234] 0.5% approximate9 [6] 0.5% hash-ref! [214] 0.6% simplify [53] 2.6% map [111] 4.2% eval-prog [206] 4.5% f137 [94] 15.8% split-table [38] 69.3% [94] 94558(5.7%) 1754(0.1%) f137 .../collects/racket/match/compiler.rkt:507:40 loop [238] 63.2% f137 [94] 15.8% map [111] 6.5% option-on-expr [107] 6.0% ??? [165] 4.0% append-map [246] 0.9% taylor [114] 0.4% gather-multiplicative-terms [124] 0.4% ??? [169] 0.4% taylor-quotient [117] 0.3% ??? [133] 0.2% taylor-invert [15] 0.2% variable? [5] 0.1% composed [190] 0.1% parse-loop12 [234] 0.1% exprs-to-branch-on [16] 0.1% ------------------------------------------------------------------------------------------ adopt-enode! [86] 5.3% loop! [82] 94.7% [95] 91172(5.5%) 29652(1.8%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [109] 58.5% for-loop [112] 9.0% ------------------------------------------------------------------------------------------ for-loop [84] 100.0% [96] 85260(5.1%) 280(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:224:8 hash-update! [106] 99.7% ------------------------------------------------------------------------------------------ new-enode [81] 2.9% loop! [82] 97.1% [97] 53674(3.2%) 53674(3.2%) set ...collects/racket/private/set-types.rkt:981:0 ------------------------------------------------------------------------------------------ loop [83] 100.0% [98] 30384(1.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:158:2 loop [110] 50.1% make-exacts* [108] 49.9% ------------------------------------------------------------------------------------------ loop [83] 100.0% [99] 5382(0.3%) 624(0.0%) for-loop ...s/herbie/develop/src/points.rkt:222:26 for-loop [113] 88.4% ------------------------------------------------------------------------------------------ update-leader! [72] 12.3% new-enode [81] 34.1% mk-enode! [70] 53.6% [100] 2926(0.2%) 2264(0.1%) mutable-set .../racket/private/set-types.rkt:999:0 for-loop [116] 22.6% ------------------------------------------------------------------------------------------ rewriter [89] 100.0% [101] 1276(0.1%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [115] 100.0% ------------------------------------------------------------------------------------------ ??? [87] 100.0% [102] 1200(0.1%) 540(0.0%) for-loop ...erbie/develop/src/core/ematch.rkt:51:7 ??? [133] 55.0% ------------------------------------------------------------------------------------------ rewriter [89] 100.0% [103] 998(0.1%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:519:0 for-loop [192] 100.0% ------------------------------------------------------------------------------------------ custom-set-union! [90] 100.0% [104] 636(0.0%) 636(0.0%) for-loop ...cts/racket/private/set-types.rkt:253:4 ------------------------------------------------------------------------------------------ type-of-enode-expr [93] 100.0% [105] 323338(19.5%) 5566(0.3%) get-sigs .../herbie/develop/src/type-check.rkt:5:0 ??? [176] 39.0% ??? [169] 34.2% ??? [133] 13.4% ...velop/src/common.rkt:47:2 [170] 11.6% ------------------------------------------------------------------------------------------ for-loop [96] 100.0% [106] 84980(5.1%) 1366(0.1%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [118] 98.4% ------------------------------------------------------------------------------------------ f137 [94] 7.9% loop [238] 92.1% [107] 74468(4.5%) 0(0.0%) option-on-expr ...evelop/src/core/regimes.rkt:90:0 sindices->spoints [120] 38.7% loop [238] 38.2% sort-context-on-expr [121] 14.1% errors [197] 6.5% pick-errors [127] 1.4% err-lsts->split-indices [131] 0.7% ??? [212] 0.2% map [111] 0.2% ------------------------------------------------------------------------------------------ loop [98] 23.3% loop [83] 76.7% [108] 65034(3.9%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:138:0 loop [238] 76.3% eval-prog [206] 23.2% debug7 [126] 0.5% ------------------------------------------------------------------------------------------ custom-set-union [95] 100.0% [109] 53292(3.2%) 15504(0.9%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [119] 70.9% ------------------------------------------------------------------------------------------ loop [98] 30.6% loop [83] 69.4% [110] 49734(3.0%) 180(0.0%) loop ...htlies/herbie/develop/src/points.rkt:141:4 loop [238] 94.4% ??? [212] 5.1% debug7 [126] 0.1% ------------------------------------------------------------------------------------------ gather-multiplicative-terms [124] 0.9% option-on-expr [107] 1.7% ??? [123] 10.8% f137 [94] 86.6% [111] 9026(0.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 f137 [94] 53.4% simplify* [122] 16.5% ??? [165] 10.8% ??? [123] 7.6% parse-loop12 [234] 6.4% loop [238] 1.7% make-multiplication-node [130] 1.5% simplify-node [129] 1.2% gather-multiplicative-terms [124] 0.9% ------------------------------------------------------------------------------------------ custom-set-union [95] 100.0% [112] 8228(0.5%) 8228(0.5%) for-loop ...cts/racket/private/set-types.rkt:152:2 ------------------------------------------------------------------------------------------ for-loop [99] 100.0% [113] 4758(0.3%) 930(0.1%) for-loop ...s/herbie/develop/src/points.rkt:223:28 ??? [165] 80.5% ------------------------------------------------------------------------------------------ approximate9 [6] 21.3% hash-ref! [214] 38.8% f137 [94] 39.9% [114] 1578(0.1%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:163:0 debug-print [125] 61.2% loop [238] 21.3% debug7 [126] 17.5% ------------------------------------------------------------------------------------------ for-loop [128] 24.7% matcher [115] 25.3% for-loop [101] 50.0% [115] 1276(0.1%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:167:2 rewriter [89] 50.0% matcher [115] 25.3% for-loop [128] 24.7% ------------------------------------------------------------------------------------------ mutable-set [100] 100.0% [116] 662(0.0%) 662(0.0%) for-loop ...cts/racket/private/set-types.rkt:943:2 ------------------------------------------------------------------------------------------ f137 [94] 100.0% [117] 270(0.0%) 0(0.0%) taylor-quotient ...velop/src/core/taylor.rkt:328:0 first-nonzero-exp [132] 100.0% ------------------------------------------------------------------------------------------ hash-update! [106] 100.0% [118] 83614(5.0%) 586(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:226:24 for-loop [134] 98.5% make-sequence [267] 0.8% ------------------------------------------------------------------------------------------ for-loop [109] 100.0% [119] 37788(2.3%) 37788(2.3%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------------------------ option-on-expr [107] 100.0% [120] 28784(1.7%) 0(0.0%) sindices->spoints ...op/src/core/regimes.rkt:129:0 loop [135] 99.6% eval-prog [206] 0.4% ------------------------------------------------------------------------------------------ option-on-expr [107] 100.0% [121] 10482(0.6%) 0(0.0%) sort-context-on-expr ...velop/src/points.rkt:115:0 ??? [136] 98.4% eval-prog [206] 1.6% ------------------------------------------------------------------------------------------ simplify [53] 9.0% map [111] 91.0% [122] 3746(0.2%) 1618(0.1%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 hash-ref! [214] 40.4% ??? [139] 16.4% ------------------------------------------------------------------------------------------ map [111] 29.5% loop [238] 70.5% [123] 2324(0.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [214] 63.8% f137 [94] 29.5% map [111] 6.7% ------------------------------------------------------------------------------------------ map [111] 10.2% f137 [94] 89.8% [124] 1580(0.1%) 1246(0.1%) gather-multiplicative-terms ...re/reduce.rkt:116:0 curried [258] 21.1% map [111] 10.2% ------------------------------------------------------------------------------------------ simplify [53] 37.4% taylor [114] 62.6% [125] 1542(0.1%) 860(0.1%) debug-print .../herbie/develop/src/debug.rkt:107:0 for-loop [138] 44.2% ------------------------------------------------------------------------------------------ loop [110] 4.0% taylor [114] 21.5% make-exacts* [108] 25.1% simplify [53] 49.4% [126] 1284(0.1%) 298(0.0%) debug7 ...tlies/herbie/develop/src/debug.rkt:102:0 return/no-unsupplied [242] 26.2% ??? [241] 21.5% ??? [133] 17.8% assoc-ref [191] 11.4% ------------------------------------------------------------------------------------------ option-on-expr [107] 100.0% [127] 1052(0.1%) 0(0.0%) pick-errors .../develop/src/core/regimes.rkt:197:0 for-loop [137] 84.0% point->alt [142] 16.0% ------------------------------------------------------------------------------------------ matcher [115] 100.0% [128] 928(0.1%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:183:21 matcher [115] 100.0% ------------------------------------------------------------------------------------------ simplify [53] 44.9% map [111] 55.1% [129] 606(0.0%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:50:0 f137 [94] 55.1% append-map [246] 44.9% ------------------------------------------------------------------------------------------ map [111] 100.0% [130] 604(0.0%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:230:0 make-multiplication-subnode [140] 100.0% ------------------------------------------------------------------------------------------ option-on-expr [107] 100.0% [131] 554(0.0%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:235:0 add-splitpoint [141] 100.0% ------------------------------------------------------------------------------------------ taylor-quotient [117] 100.0% [132] 270(0.0%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:260:0 hash-ref! [214] 100.0% ------------------------------------------------------------------------------------------ debug7 [126] 0.1% split-table [38] 0.2% run-improve50 [2] 0.2% setfindf [24] 0.2% f137 [94] 0.3% for-loop [102] 0.4% free-variables [14] 0.4% ??? [263] 2.8% choose-best-alt! [55] 3.2% substitute-e [64] 4.7% variable? [5] 14.2% match-e [48] 17.1% get-sigs [105] 23.0% finalize-iter! [51] 33.3% [133] 188096(11.3%) 55602(3.4%) ??? ...contract/private/arrow-val-first.rkt:357:18 hash-has-key? [143] 33.4% for-loop [144] 32.8% ??? [147] 3.2% ??? [263] 0.4% split-atab [151] 0.2% ------------------------------------------------------------------------------------------ ??? [118] 100.0% [134] 82378(5.0%) 71732(4.3%) for-loop ...bie/develop/src/core/egraph.rkt:227:26 update-en-expr [200] 12.9% ------------------------------------------------------------------------------------------ parse-loop12 [234] 0.0% loop [135] 1.0% sindices->spoints [120] 99.0% [135] 28976(1.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:36:19 sidx->spoint [145] 99.0% loop [135] 1.0% ulp-difference [216] 0.0% ------------------------------------------------------------------------------------------ sort-context-on-expr [121] 100.0% [136] 10314(0.6%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [146] 92.6% loop [161] 7.4% ------------------------------------------------------------------------------------------ pick-errors [127] 100.0% [137] 884(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:199:2 ??? [148] 100.0% ------------------------------------------------------------------------------------------ debug-print [125] 100.0% [138] 682(0.0%) 682(0.0%) for-loop ...ies/herbie/develop/src/debug.rkt:113:2 ------------------------------------------------------------------------------------------ simplify* [122] 100.0% [139] 616(0.0%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:762:9 ??? [253] 100.0% ------------------------------------------------------------------------------------------ make-multiplication-node [130] 100.0% [140] 604(0.0%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:240:0 group-by68 [152] 51.7% compose [149] 48.3% ------------------------------------------------------------------------------------------ err-lsts->split-indices [131] 100.0% [141] 554(0.0%) 0(0.0%) add-splitpoint ...velop/src/core/regimes.rkt:252:2 for-loop [150] 100.0% ------------------------------------------------------------------------------------------ pick-errors [127] 100.0% [142] 168(0.0%) 0(0.0%) point->alt ...e/develop/src/core/regimes.rkt:184:0 eval-prog [206] 100.0% ------------------------------------------------------------------------------------------ mk-enode! [70] 10.9% ??? [133] 89.1% [143] 71152(4.3%) 22296(1.3%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [175] 66.3% ??? [182] 2.3% ------------------------------------------------------------------------------------------ ??? [133] 100.0% [144] 62762(3.8%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [153] 100.0% ------------------------------------------------------------------------------------------ loop [135] 100.0% [145] 28676(1.7%) 0(0.0%) sidx->spoint ...develop/src/core/regimes.rkt:139:2 binary-search [154] 58.6% binary-search-floats [155] 41.4% ------------------------------------------------------------------------------------------ ??? [136] 100.0% [146] 9546(0.6%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [156] 86.0% loop [161] 14.0% ------------------------------------------------------------------------------------------ ??? [133] 100.0% [147] 5968(0.4%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:54:0 ??? [165] 100.0% ------------------------------------------------------------------------------------------ ??? [172] 26.3% for-loop [137] 73.7% [148] 1200(0.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/regimes.rkt:190:2 ??? [212] 100.0% ------------------------------------------------------------------------------------------ make-multiplication-subnode [140] 33.0% for-loop [7] 67.0% [149] 884(0.1%) 884(0.1%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------------------------ add-splitpoint [141] 100.0% [150] 554(0.0%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:254:4 for-loop [157] 100.0% ------------------------------------------------------------------------------------------ ??? [133] 100.0% [151] 316(0.0%) 0(0.0%) split-atab .../develop/src/core/alt-table.rkt:74:0 for-loop [158] 100.0% ------------------------------------------------------------------------------------------ make-multiplication-subnode [140] 100.0% [152] 312(0.0%) 312(0.0%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------------------------ for-loop [144] 98.0% [153] 64024(3.9%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:208:0 best-and-tied-at-points [159] 92.9% override-at-pnts [162] 6.6% loop [238] 0.5% ------------------------------------------------------------------------------------------ sidx->spoint [145] 100.0% [154] 16816(1.0%) 0(0.0%) binary-search ...rbie/develop/src/common.rkt:226:0 pred [160] 100.0% ------------------------------------------------------------------------------------------ sidx->spoint [145] 100.0% [155] 11860(0.7%) 0(0.0%) binary-search-floats ...velop/src/common.rkt:241:0 pred [160] 100.0% ------------------------------------------------------------------------------------------ generic-sort/key [146] 46.6% copying-mergesort [156] 53.4% [156] 8214(0.5%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [156] 53.4% loop [161] 34.0% jloop [9] 12.5% ------------------------------------------------------------------------------------------ for-loop [150] 100.0% [157] 554(0.0%) 554(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:258:8 ------------------------------------------------------------------------------------------ split-atab [151] 100.0% [158] 316(0.0%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:75:2 for-loop [163] 84.2% for-loop [164] 15.8% ------------------------------------------------------------------------------------------ atab-add-altn [153] 100.0% [159] 59464(3.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [197] 97.7% for-loop [167] 2.3% ------------------------------------------------------------------------------------------ binary-search-floats [155] 41.4% binary-search [154] 58.6% [160] 28676(1.7%) 0(0.0%) pred ...herbie/develop/src/core/regimes.rkt:145:17 loop [83] 95.7% errors [197] 3.4% prepare-points [168] 0.9% ------------------------------------------------------------------------------------------ ??? [136] 12.4% generic-sort/key [146] 21.5% copying-mergesort [156] 66.1% [161] 6196(0.4%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [212] 91.8% ??? [165] 8.2% ------------------------------------------------------------------------------------------ atab-add-altn [153] 100.0% [162] 4246(0.3%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 errors [197] 100.0% ------------------------------------------------------------------------------------------ for-loop [158] 100.0% [163] 266(0.0%) 0(0.0%) for-loop ...e/develop/src/core/alt-table.rkt:80:53 loop [166] 100.0% ------------------------------------------------------------------------------------------ for-loop [158] 100.0% [164] 50(0.0%) 0(0.0%) for-loop ...e/develop/src/core/alt-table.rkt:86:30 ??? [172] 100.0% ------------------------------------------------------------------------------------------ ??? [165] 0.1% eval-prog [206] 0.3% jloop [9] 0.3% loop [161] 0.7% map [111] 1.4% for-loop [204] 2.1% ??? [224] 4.3% ??? [212] 4.8% for-loop [113] 5.3% for-loop [85] 6.8% ??? [169] 7.2% ??? [147] 7.3% f137 [94] 25.4% loop [238] 34.2% [165] 71400(4.3%) 6560(0.4%) ??? ...tract/private/arrow-higher-order.rkt:342:33 ??? [169] 57.4% ??? [263] 7.6% best-alt [171] 7.3% approximate9 [6] 6.8% ...velop/src/common.rkt:47:2 [170] 5.1% hash-ref! [214] 4.2% ??? [176] 2.5% ??? [165] 0.1% ------------------------------------------------------------------------------------------ for-loop [163] 18.3% for-loop [63] 19.0% one-iter [19] 62.7% [166] 1452(0.1%) 1186(0.1%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [172] 18.3% ------------------------------------------------------------------------------------------ best-and-tied-at-points [159] 100.0% [167] 1356(0.1%) 1356(0.1%) for-loop .../develop/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------------------------ pred [160] 100.0% [168] 246(0.0%) 0(0.0%) prepare-points ...bie/develop/src/points.rkt:187:0 ??? [173] 100.0% ------------------------------------------------------------------------------------------ f137 [94] 0.0% simplify-alt [39] 0.1% get-sigs [105] 2.7% ??? [165] 3.0% for-loop [62] 3.1% ??? [169] 6.8% for-loop [174] 39.1% ??? [69] 44.7% [169] 1343864(81.0%) 76774(4.6%) ??? ...llects/racket/private/norm-define.rkt:53:83 for-loop [174] 39.1% iterate-egraph!13 [3] 38.9% ??? [169] 6.8% loop [4] 6.2% ??? [175] 4.3% return/no-unsupplied [242] 0.6% ??? [241] 0.6% ??? [165] 0.3% mk-egraph [181] 0.1% dict? [271] 0.0% *simplify-rules* [184] 0.0% loop [185] 0.0% list-member? [179] 0.0% ??? [182] 0.0% ??? [239] 0.0% ------------------------------------------------------------------------------------------ ??? [165] 4.1% get-sigs [105] 42.8% for-loop [62] 53.0% [170] 87862(5.3%) 29564(1.8%) ...velop/src/common.rkt:47:2 ...e/arr-i.rkt:906:19 ??? [177] 33.9% ??? [178] 32.1% ------------------------------------------------------------------------------------------ ??? [165] 100.0% [171] 5968(0.4%) 0(0.0%) best-alt ...tlies/herbie/develop/src/glue.rkt:71:0 loop [180] 90.2% argmins [183] 9.8% ------------------------------------------------------------------------------------------ for-loop [164] 15.8% loop [166] 84.2% [172] 316(0.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/regimes.rkt:302:4 ??? [148] 100.0% ------------------------------------------------------------------------------------------ prepare-points [168] 100.0% [173] 246(0.0%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:346:33 ??? [239] 100.0% ------------------------------------------------------------------------------------------ ??? [169] 100.0% [174] 1108052(66.8%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:66:12 ??? [169] 100.0% ------------------------------------------------------------------------------------------ hash-has-key? [143] 22.4% ??? [169] 77.6% [175] 210448(12.7%) 88082(5.3%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [186] 42.7% ??? [199] 12.8% ??? [239] 1.6% arrow-higher-order:lnp [244] 0.6% successfully-got-the-right-kind-of-function [195] 0.5% ------------------------------------------------------------------------------------------ ??? [165] 1.4% for-loop [62] 3.1% get-sigs [105] 95.3% [176] 132404(8.0%) 7694(0.5%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 ??? [187] 51.5% for-loop [188] 34.7% get/build-late-neg-projection [222] 6.3% ??? [201] 0.5% ??? [268] 0.4% ??? [199] 0.1% ------------------------------------------------------------------------------------------ ...velop/src/common.rkt:47:2 [170] 100.0% [177] 29812(1.8%) 10494(0.6%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 ??? [241] 29.8% assoc-ref [191] 18.1% return/no-unsupplied [242] 16.9% ------------------------------------------------------------------------------------------ for-loop [254] 10.0% ??? [239] 11.8% ...velop/src/common.rkt:47:2 [170] 78.2% [178] 28160(1.7%) 7326(0.4%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [239] 65.7% ??? [263] 10.8% ??? [201] 8.4% ------------------------------------------------------------------------------------------ ??? [169] 2.6% for-loop [47] 97.4% [179] 10968(0.7%) 606(0.0%) list-member? ...llects/racket/private/set.rkt:24:0 loop [189] 78.8% member [194] 15.7% ------------------------------------------------------------------------------------------ best-alt [171] 98.0% [180] 5492(0.3%) 0(0.0%) loop ...htlies/herbie/develop/src/common.rkt:151:2 composed [190] 100.0% ------------------------------------------------------------------------------------------ ??? [169] 100.0% [181] 3606(0.2%) 0(0.0%) mk-egraph ...bie/develop/src/core/egraph.rkt:131:0 mk-enode-rec! [193] 74.0% mk-enode! [70] 26.0% ------------------------------------------------------------------------------------------ ??? [169] 33.7% hash-has-key? [143] 66.3% [182] 2498(0.2%) 2498(0.2%) ??? ...ects/racket/contract/private/hash.rkt:245:7 ------------------------------------------------------------------------------------------ best-alt [171] 100.0% [183] 584(0.0%) 0(0.0%) argmins ...ies/herbie/develop/src/common.rkt:150:0 composed [190] 100.0% ------------------------------------------------------------------------------------------ ??? [169] 100.0% [184] 324(0.0%) 0(0.0%) *simplify-rules* ...lop/src/syntax/rules.rkt:523:0 for-loop [192] 100.0% ------------------------------------------------------------------------------------------ ??? [169] 100.0% [185] 288(0.0%) 0(0.0%) loop ...ghtlies/herbie/develop/src/points.rkt:66:6 random-exp [196] 100.0% ------------------------------------------------------------------------------------------ ??? [175] 100.0% [186] 89774(5.4%) 43388(2.6%) for-loop ...acket/contract/private/list.rkt:743:12 ??? [199] 28.3% for-loop [188] 17.0% ??? [201] 5.0% ??? [263] 1.4% ------------------------------------------------------------------------------------------ ??? [176] 100.0% [187] 68218(4.1%) 3048(0.2%) ??? ...ects/racket/contract/private/hash.rkt:217:4 ??? [198] 95.5% ------------------------------------------------------------------------------------------ for-loop [186] 25.0% ??? [176] 75.0% [188] 61256(3.7%) 9050(0.5%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [239] 82.0% ??? [265] 3.3% ------------------------------------------------------------------------------------------ list-member? [179] 100.0% [189] 8644(0.5%) 8644(0.5%) loop (unknown source) ------------------------------------------------------------------------------------------ f137 [94] 4.8% argmins [183] 9.1% loop [180] 86.0% [190] 6384(0.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [197] 95.2% parse-loop12 [234] 4.8% ------------------------------------------------------------------------------------------ debug7 [126] 2.6% ??? [177] 97.4% [191] 5550(0.3%) 5550(0.3%) assoc-ref ...collects/racket/private/dict.rkt:56:0 ------------------------------------------------------------------------------------------ *simplify-rules* [184] 8.4% *rules* [103] 25.9% merge-egraph-nodes! [61] 65.8% [192] 3860(0.2%) 2616(0.2%) for-loop ...ies/herbie/develop/src/common.rkt:99:9 update-en-expr [200] 14.6% flag-set? [211] 9.0% ormap [203] 8.7% ------------------------------------------------------------------------------------------ mk-egraph [181] 38.0% mk-enode-rec! [193] 62.0% [193] 2670(0.2%) 0(0.0%) mk-enode-rec! ...develop/src/core/egraph.rkt:122:0 mk-enode-rec! [193] 62.0% mk-enode! [70] 38.0% ------------------------------------------------------------------------------------------ list-member? [179] 100.0% [194] 1718(0.1%) 1718(0.1%) member (unknown source) ------------------------------------------------------------------------------------------ ??? [175] 100.0% [195] 1136(0.1%) 312(0.0%) successfully-got-the-right-kind-of-function ...9:4 arity-checking-wrapper [202] 72.5% ------------------------------------------------------------------------------------------ loop [185] 100.0% [196] 288(0.0%) 288(0.0%) random-exp .../herbie/develop/src/common.rkt:251:0 ------------------------------------------------------------------------------------------ pred [160] 1.0% override-at-pnts [162] 4.2% option-on-expr [107] 4.8% composed [190] 6.0% loop [238] 26.6% best-and-tied-at-points [159] 57.4% [197] 101174(6.1%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:241:0 for-loop [204] 84.9% eval-prog [206] 14.9% ------------------------------------------------------------------------------------------ ??? [187] 100.0% [198] 65170(3.9%) 3164(0.2%) ??? ...ects/racket/contract/private/list.rkt:169:2 ??? [205] 95.1% ------------------------------------------------------------------------------------------ ??? [176] 0.3% for-loop [186] 48.4% ??? [175] 51.3% [199] 52486(3.2%) 26300(1.6%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [207] 49.9% ------------------------------------------------------------------------------------------ for-loop [192] 1.2% update-leader! [72] 9.1% for-loop [73] 19.0% for-loop [134] 23.1% loop! [82] 47.6% [200] 46094(2.8%) 44276(2.7%) update-en-expr ...evelop/src/core/egraph.rkt:212:0 for-loop [209] 3.9% ------------------------------------------------------------------------------------------ ??? [176] 8.7% ??? [178] 31.8% for-loop [186] 59.5% [201] 7472(0.5%) 3338(0.2%) ??? ...ects/racket/contract/private/hash.rkt:222:6 check-hash/c [208] 55.3% ------------------------------------------------------------------------------------------ successfully-got-the-right-kind-of-function [195]100.0% [202] 824(0.0%) 0(0.0%) arity-checking-wrapper ...w-higher-order.rkt:402:0 matches-arity-exactly? [210] 100.0% ------------------------------------------------------------------------------------------ for-loop [192] 100.0% [203] 334(0.0%) 0(0.0%) ormap ...et/collects/racket/private/map.rkt:105:13 flag-set? [211] 100.0% ------------------------------------------------------------------------------------------ errors [197] 100.0% [204] 85924(5.2%) 1372(0.1%) for-loop ...es/herbie/develop/src/points.rkt:244:4 ??? [212] 94.7% ??? [165] 1.9% ulp-difference [216] 1.8% ------------------------------------------------------------------------------------------ ??? [198] 100.0% [205] 62006(3.7%) 4104(0.2%) ??? ...ects/racket/contract/private/list.rkt:678:5 for-loop [213] 93.4% ------------------------------------------------------------------------------------------ sindices->spoints [120] 0.4% sort-context-on-expr [121] 0.5% point->alt [142] 0.5% errors [197] 49.2% make-exacts* [108] 49.3% [206] 30556(1.8%) 4988(0.3%) eval-prog ...herbie/develop/src/programs.rkt:148:0 f137 [94] 67.2% ??? [217] 5.5% hash-ref! [214] 4.8% ??? [218] 3.1% go [219] 2.2% ??? [165] 0.6% ------------------------------------------------------------------------------------------ ??? [199] 100.0% [207] 26186(1.6%) 26186(1.6%) make-keyword-procedure ...ket/private/kw.rkt:260:4 ------------------------------------------------------------------------------------------ ??? [201] 100.0% [208] 4134(0.2%) 1490(0.1%) check-hash/c ...ket/contract/private/hash.rkt:83:0 flat-contract? [215] 64.0% ------------------------------------------------------------------------------------------ update-en-expr [200] 100.0% [209] 1818(0.1%) 1818(0.1%) for-loop ...rbie/develop/src/core/egraph.rkt:214:6 ------------------------------------------------------------------------------------------ arity-checking-wrapper [202] 100.0% [210] 824(0.0%) 824(0.0%) matches-arity-exactly? ...te/arrow-common.rkt:70:0 ------------------------------------------------------------------------------------------ ormap [203] 49.0% for-loop [192] 51.0% [211] 682(0.0%) 348(0.0%) flag-set? ...es/herbie/develop/src/config.rkt:34:0 return/no-unsupplied [242] 49.0% ------------------------------------------------------------------------------------------ option-on-expr [107] 0.1% ??? [148] 0.6% loop [110] 1.3% jloop [9] 2.0% loop [161] 3.0% for-loop [204] 42.5% loop [238] 50.4% [212] 191248(11.5%) 1714(0.1%) ??? ...tlies/herbie/develop/src/programs.rkt:154:4 ??? [220] 70.3% loop [238] 24.1% ??? [252] 2.5% ??? [165] 1.9% ------------------------------------------------------------------------------------------ ??? [205] 100.0% [213] 57902(3.5%) 16016(1.0%) for-loop ...racket/contract/private/list.rkt:680:9 add-list-context [221] 48.0% get/build-late-neg-projection [222] 24.4% ------------------------------------------------------------------------------------------ first-nonzero-exp [132] 0.1% for-loop [31] 0.1% for-loop [245] 0.2% ??? [42] 0.5% for-loop [41] 0.6% for-loop [25] 0.8% eval-prog [206] 0.8% for-loop [27] 1.2% simplify* [122] 1.4% update-leader! [72] 1.9% ??? [225] 2.4% loop [238] 3.6% ??? [165] 3.7% ??? [123] 4.1% loop [23] 4.4% ??? [224] 14.1% compile [76] 28.6% ??? [223] 28.9% [214] 33410(2.0%) 20932(1.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [223] 34.4% ??? [224] 18.0% parse-loop12 [234] 4.9% simplify [53] 2.5% ??? [225] 2.4% ??? [10] 2.2% ??? [8] 1.8% f137 [94] 0.6% ??? [11] 0.6% bigfloat-hash [227] 0.6% taylor [114] 0.5% ??? [13] 0.2% ??? [12] 0.2% ------------------------------------------------------------------------------------------ check-hash/c [208] 100.0% [215] 2644(0.2%) 2644(0.2%) flat-contract? .../contract/private/guts.rkt:111:0 ------------------------------------------------------------------------------------------ loop [135] 16.3% for-loop [204] 83.7% [216] 1836(0.1%) 1100(0.1%) ulp-difference ...erbie/develop/src/float.rkt:19:0 return/no-unsupplied [242] 32.1% ??? [241] 8.0% ------------------------------------------------------------------------------------------ eval-prog [206] 100.0% [217] 1688(0.1%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [226] 100.0% ------------------------------------------------------------------------------------------ eval-prog [206] 100.0% [218] 934(0.1%) 0(0.0%) ??? ...cket/collects/racket/private/kw.rkt:1633:36 unpack245 [228] 100.0% ------------------------------------------------------------------------------------------ eval-prog [206] 100.0% [219] 684(0.0%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [229] 100.0% ------------------------------------------------------------------------------------------ ??? [212] 100.0% [220] 134398(8.1%) 70032(4.2%) ??? ...acket/collects/racket/private/kw.rkt:444:14 bf* [230] 20.8% ??? [240] 13.3% ??? [232] 8.0% ??? [235] 2.2% ??? [265] 1.1% parse-loop12 [234] 0.8% ------------------------------------------------------------------------------------------ for-loop [213] 100.0% [221] 27784(1.7%) 27784(1.7%) add-list-context ...ontract/private/list.rkt:752:0 ------------------------------------------------------------------------------------------ ??? [233] 15.1% ??? [176] 21.5% for-loop [213] 62.9% [222] 22420(1.4%) 4232(0.3%) get/build-late-neg-projection ...te/guts.rkt:691:0 ??? [231] 65.3% ??? [233] 16.5% ------------------------------------------------------------------------------------------ hash-ref! [214] 100.0% [223] 16478(1.0%) 1792(0.1%) ??? ...tlies/herbie/develop/src/programs.rkt:192:5 hash-ref! [214] 87.2% loop [238] 8.8% ------------------------------------------------------------------------------------------ hash-ref! [214] 100.0% [224] 9796(0.6%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:67:15 hash-ref! [214] 76.6% ??? [165] 23.4% ------------------------------------------------------------------------------------------ hash-ref! [214] 100.0% [225] 6432(0.4%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:44:15 hash-ref! [214] 100.0% ------------------------------------------------------------------------------------------ ??? [217] 100.0% [226] 1688(0.1%) 1688(0.1%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------------------------ hash-ref! [214] 100.0% [227] 988(0.1%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [236] 100.0% ------------------------------------------------------------------------------------------ ??? [218] 100.0% [228] 934(0.1%) 212(0.0%) unpack245 ...private/arrow-higher-order.rkt:354:44 maybe-cons-kwd [237] 77.3% ------------------------------------------------------------------------------------------ go [219] 6.0% loop [229] 94.0% [229] 684(0.0%) 684(0.0%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [229] 94.0% ------------------------------------------------------------------------------------------ ??? [220] 100.0% [230] 28000(1.7%) 56(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [240] 99.8% ------------------------------------------------------------------------------------------ get/build-late-neg-projection [222] 100.0% [231] 17008(1.0%) 3636(0.2%) ??? ...cts/racket/contract/private/prop.rkt:314:12 build-compound-type-name [243] 78.6% ------------------------------------------------------------------------------------------ ??? [220] 100.0% [232] 10776(0.6%) 10776(0.6%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 ------------------------------------------------------------------------------------------ get/build-late-neg-projection [222] 100.0% [233] 7196(0.4%) 322(0.0%) ??? ...ects/racket/contract/private/hash.rkt:211:2 get/build-late-neg-projection [222] 95.5% ------------------------------------------------------------------------------------------ append-map [246] 3.8% composed [190] 4.4% f137 [94] 4.7% simplify [53] 8.4% type-of-enode-expr [93] 8.7% for-loop [29] 14.7% ??? [220] 15.1% map [111] 17.0% hash-ref! [214] 23.2% [234] 7068(0.4%) 3220(0.2%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 loop [238] 22.1% for-loop [245] 14.7% f137 [94] 9.5% for-loop [248] 4.7% append-map [246] 4.4% loop [135] 1.1% ------------------------------------------------------------------------------------------ ??? [220] 100.0% [235] 2978(0.2%) 1398(0.1%) ??? ...herbie/develop/src/syntax/syntax.rkt:155:17 ??? [241] 26.7% return/no-unsupplied [242] 26.3% ------------------------------------------------------------------------------------------ bigfloat-hash [227] 100.0% [236] 988(0.1%) 628(0.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [247] 36.4% ------------------------------------------------------------------------------------------ unpack245 [228] 100.0% [237] 722(0.0%) 0(0.0%) maybe-cons-kwd ...ate/arrow-higher-order.rkt:498:0 arrow-higher-order:lnp [244] 77.3% unsafe-chaperone-procedure [249] 22.7% ------------------------------------------------------------------------------------------ map [111] 0.0% atab-add-altn [153] 0.0% taylor [114] 0.1% parse-loop12 [234] 0.2% ??? [223] 0.4% map-enodes [22] 0.5% loop [110] 0.8% match-e [48] 0.9% for-loop [63] 1.1% make-exacts* [108] 1.3% option-on-expr [107] 2.0% ??? [212] 3.0% f137 [94] 6.8% loop! [82] 7.0% loop [238] 75.8% [238] 326552(19.7%) 20776(1.3%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [238] 75.8% option-on-expr [107] 6.8% loop! [82] 6.6% ??? [165] 2.6% ??? [212] 2.0% errors [197] 2.0% for-loop [7] 0.5% hash-ref! [214] 0.4% foldl [257] 0.3% curried [258] 0.2% ??? [252] 0.2% ??? [123] 0.2% simplify [53] 0.1% set-precompute! [260] 0.0% ------------------------------------------------------------------------------------------ ??? [173] 0.3% ??? [169] 0.8% ??? [175] 4.2% ??? [178] 30.6% for-loop [188] 62.4% [239] 80482(4.9%) 13914(0.8%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [250] 60.5% for-loop [254] 11.2% ??? [178] 8.2% ??? [265] 2.2% ??? [263] 0.6% ------------------------------------------------------------------------------------------ ??? [220] 39.0% bf* [230] 61.0% [240] 45782(2.8%) 5340(0.3%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfsub [251] 88.3% ------------------------------------------------------------------------------------------ ulp-difference [216] 0.8% debug7 [126] 1.4% ??? [235] 4.1% ??? [177] 46.0% ??? [169] 47.7% [241] 19302(1.2%) 5842(0.4%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [253] 55.5% ??? [263] 14.2% ------------------------------------------------------------------------------------------ flag-set? [211] 1.9% debug7 [126] 1.9% ulp-difference [216] 3.4% ??? [235] 4.5% ??? [177] 29.0% ??? [169] 59.3% [242] 17396(1.0%) 11642(0.7%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [256] 33.1% ------------------------------------------------------------------------------------------ contract-struct-name [255] 15.8% ??? [231] 84.2% [243] 13372(0.8%) 8928(0.5%) build-compound-type-name ...private/guts.rkt:448:0 contract-struct-name [255] 45.8% ------------------------------------------------------------------------------------------ maybe-cons-kwd [237] 31.9% ??? [175] 68.1% [244] 1748(0.1%) 690(0.0%) arrow-higher-order:lnp ...w-higher-order.rkt:597:7 ??? [259] 60.5% ------------------------------------------------------------------------------------------ parse-loop12 [234] 100.0% [245] 1036(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:490:59 hash-ref! [214] 100.0% ------------------------------------------------------------------------------------------ parse-loop12 [234] 7.8% simplify-node [129] 13.8% f137 [94] 78.4% [246] 984(0.1%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 f137 [94] 58.8% parse-loop12 [234] 27.6% free-variables [14] 13.5% ------------------------------------------------------------------------------------------ bfcanonicalize [236] 100.0% [247] 360(0.0%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [261] 50.0% mpz->integer [262] 50.0% ------------------------------------------------------------------------------------------ parse-loop12 [234] 100.0% [248] 334(0.0%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:99:13 f137 [94] 100.0% ------------------------------------------------------------------------------------------ maybe-cons-kwd [237] 100.0% [249] 164(0.0%) 164(0.0%) unsafe-chaperone-procedure ...ivate/kw.rkt:1588:11 ------------------------------------------------------------------------------------------ ??? [239] 100.0% [250] 48666(2.9%) 5134(0.3%) ??? ...ects/racket/contract/private/list.rkt:686:7 ??? [263] 86.0% ??? [265] 3.4% ------------------------------------------------------------------------------------------ ??? [240] 100.0% [251] 40442(2.4%) 28460(1.7%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [269] 29.6% ------------------------------------------------------------------------------------------ ??? [212] 22.0% loop [238] 78.0% [252] 22156(1.3%) 1586(0.1%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [264] 92.8% ------------------------------------------------------------------------------------------ ??? [139] 5.4% ??? [241] 94.6% [253] 11332(0.7%) 10468(0.6%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ??? [268] 7.6% ------------------------------------------------------------------------------------------ ??? [239] 100.0% [254] 9014(0.5%) 3362(0.2%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [178] 62.7% ------------------------------------------------------------------------------------------ build-compound-type-name [243] 100.0% [255] 7816(0.5%) 4444(0.3%) contract-struct-name ...ract/private/prop.rkt:89:0 build-compound-type-name [243] 48.6% ------------------------------------------------------------------------------------------ match-e [48] 5.6% return/no-unsupplied [242] 94.4% [256] 6096(0.4%) 6096(0.4%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------------------------ for-loop [63] 18.1% loop [238] 81.9% [257] 5460(0.3%) 690(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [266] 87.4% ------------------------------------------------------------------------------------------ gather-multiplicative-terms [124] 18.8% loop [238] 81.2% [258] 1772(0.1%) 1772(0.1%) curried ...cket/collects/racket/function.rkt:71:18 ------------------------------------------------------------------------------------------ arrow-higher-order:lnp [244] 100.0% [259] 1058(0.1%) 1058(0.1%) ??? ...et/contract/private/arity-checking.rkt:19:2 ------------------------------------------------------------------------------------------ loop [238] 100.0% [260] 584(0.0%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:193:0 make-sequence [267] 100.0% ------------------------------------------------------------------------------------------ bigfloat->sig+exp [247] 100.0% [261] 180(0.0%) 180(0.0%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 ------------------------------------------------------------------------------------------ bigfloat->sig+exp [247] 100.0% [262] 180(0.0%) 180(0.0%) mpz->integer ...ath/private/bigfloat/gmp.rkt:115:0 ------------------------------------------------------------------------------------------ ??? [239] 0.8% ??? [133] 1.4% for-loop [186] 2.1% ??? [241] 4.6% ??? [165] 9.1% ??? [178] 10.3% ??? [250] 70.7% [263] 59180(3.6%) 46882(2.8%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ??? [133] 9.7% contract? [270] 8.1% dict? [271] 3.0% ------------------------------------------------------------------------------------------ ??? [252] 100.0% [264] 20570(1.2%) 14992(0.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [269] 27.1% ------------------------------------------------------------------------------------------ ??? [220] 21.0% ??? [250] 24.3% ??? [239] 25.5% for-loop [188] 29.2% [265] 6860(0.4%) 3638(0.2%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [272] 47.0% ------------------------------------------------------------------------------------------ foldl [257] 100.0% [266] 4770(0.3%) 4770(0.3%) merge2 .../herbie/develop/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------------------------ update-leader! [72] 7.7% reduce-to-single! [56] 8.5% set-precompute! [260] 14.4% for-loop [37] 15.4% ??? [118] 16.0% merge-egraph-nodes! [61] 38.0% [267] 4060(0.2%) 3410(0.2%) make-sequence ...ects/racket/private/for.rkt:509:2 ??? [273] 16.0% ------------------------------------------------------------------------------------------ ??? [176] 40.2% ??? [253] 59.8% [268] 1444(0.1%) 1444(0.1%) ??? ...ects/racket/contract/private/prop.rkt:256:4 ------------------------------------------------------------------------------------------ real->bigfloat [264] 31.2% bfsub [251] 67.0% [269] 17896(1.1%) 17896(1.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------------------------ ??? [263] 100.0% [270] 4822(0.3%) 4822(0.3%) contract? ...acket/contract/private/guts.rkt:109:0 ------------------------------------------------------------------------------------------ ??? [169] 48.5% ??? [263] 51.5% [271] 3392(0.2%) 3392(0.2%) dict? ...ollects/racket/private/generic.rkt:146:11 ------------------------------------------------------------------------------------------ ??? [265] 100.0% [272] 3222(0.2%) 2006(0.1%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [275] 37.7% ------------------------------------------------------------------------------------------ make-sequence [267] 100.0% [273] 650(0.0%) 314(0.0%) ??? ...acket/collects/racket/private/for.rkt:429:7 custom-in-set [274] 51.7% ------------------------------------------------------------------------------------------ ??? [273] 13.4% match-e [48] 86.6% [274] 2514(0.2%) 2514(0.2%) custom-in-set ...acket/private/set-types.rkt:577:0 ------------------------------------------------------------------------------------------ ??? [272] 100.0% [275] 1216(0.1%) 1216(0.1%) ??? ...ects/racket/contract/private/list.rkt:141:5 ------------------------------------------------------------------------------------------