Profiling results ----------------- Total cpu time observed: 158246ms (out of 159436ms) Number of samples taken: 500 (once every 316ms) (Hiding functions with self<1.0% and local<2.0%: 12 of 269 hidden) ============================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ============================================================================== run [34] 50.0% [1] 158246(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [16] 50.0% run-improve39 [17] 44.2% prepare-points [19] 5.4% get-final-combination [31] 0.4% ------------------------------------------------------------------------------ ??? [184] 100.0% [2] 74392(47.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:31:0 iterate-egraph!7 [18] 93.4% loop [25] 4.6% mk-egraph [30] 2.1% ------------------------------------------------------------------------------ ??? [184] 100.0% [3] 15064(9.5%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [20] 64.8% for-loop [24] 29.2% taylor [37] 6.0% ------------------------------------------------------------------------------ hash-ref! [196] 100.0% [4] 7162(4.5%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:292:23 for-loop [22] 100.0% ------------------------------------------------------------------------------ hash-ref! [196] 100.0% [5] 5040(3.2%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:67:15 ??? [184] 100.0% ------------------------------------------------------------------------------ map-enodes [38] 18.8% loop [172] 81.2% [6] 4638(2.9%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:140:0 for-loop [23] 100.0% ------------------------------------------------------------------------------ hash-ref! [196] 100.0% [7] 1664(1.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:282:26 for-loop [27] 100.0% ------------------------------------------------------------------------------ hash-ref! [196] 100.0% [8] 1642(1.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:492:23 for-loop [28] 100.0% ------------------------------------------------------------------------------ f8 [141] 100.0% [9] 1590(1.0%) 0(0.0%) loop ...es/herbie/develop/src/core/reduce.rkt:18:2 type-of [21] 100.0% ------------------------------------------------------------------------------ for-loop [254] 21.9% loop [244] 78.1% [10] 1280(0.8%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [29] 100.0% ------------------------------------------------------------------------------ taylor [37] 100.0% [11] 944(0.6%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:309:0 simplify [63] 65.7% first-nonzero-exp [33] 34.3% ------------------------------------------------------------------------------ taylor [37] 100.0% [12] 618(0.4%) 0(0.0%) taylor-log ...ie/develop/src/core/taylor.rkt:485:0 simplify [63] 100.0% ------------------------------------------------------------------------------ hash-ref! [196] 100.0% [13] 614(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:389:23 for-loop [32] 100.0% ------------------------------------------------------------------------------ f8 [141] 100.0% [14] 340(0.2%) 0(0.0%) inductor .../herbie/develop/src/programs.rkt:119:4 variable? [26] 100.0% ------------------------------------------------------------------------------ copying-mergesort [122] 100.0% [15] 308(0.2%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:96:12 ??? [139] 100.0% ------------------------------------------------------------------------------ ??? [1] 100.0% [16] 158246(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [34] 100.0% ------------------------------------------------------------------------------ ??? [1] 100.0% [17] 140030(88.5%) 0(0.0%) run-improve39 ...ie/develop/src/mainloop.rkt:286:0 for-loop [35] 99.8% ------------------------------------------------------------------------------ ??? [2] 100.0% [18] 69456(43.9%) 0(0.0%) iterate-egraph!7 ...lop/src/core/simplify.rkt:55:0 one-iter [36] 93.3% map-enodes [38] 6.7% ------------------------------------------------------------------------------ ??? [1] 100.0% [19] 17008(10.7%) 0(0.0%) prepare-points ...bie/develop/src/points.rkt:156:0 loop [49] 47.0% make-exacts* [50] 31.2% loop [39] 20.0% for-loop [45] 1.8% ------------------------------------------------------------------------------ approximate9 [3] 100.0% [20] 9762(6.2%) 360(0.2%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 hash-ref! [196] 51.6% ??? [184] 44.7% ------------------------------------------------------------------------------ mterm->expr [220] 8.6% loop [9] 22.2% for-loop [116] 69.3% [21] 7168(4.5%) 306(0.2%) type-of .../herbie/develop/src/type-check.rkt:34:0 ??? [134] 46.9% for-loop [162] 27.2% table-ref [135] 13.1% ...velop/src/common.rkt:48:2 [137] 8.6% ------------------------------------------------------------------------------ ??? [4] 100.0% [22] 7162(4.5%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:295:27 hash-ref! [196] 97.9% simplify [63] 2.1% ------------------------------------------------------------------------------ set-precompute! [6] 100.0% [23] 4638(2.9%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:142:2 eval-const-expr [41] 60.2% update-leader! [90] 19.9% reduce-to-new! [44] 19.8% ------------------------------------------------------------------------------ approximate9 [3] 100.0% [24] 4400(2.8%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:29:18 taylor [37] 100.0% ------------------------------------------------------------------------------ ??? [2] 100.0% [25] 3400(2.1%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:184:2 for-loop [40] 100.0% ------------------------------------------------------------------------------ substitute-e [76] 16.3% inductor [14] 17.7% match-e [61] 18.0% for-loop [48] 48.1% [26] 1926(1.2%) 0(0.0%) variable? ...e/develop/src/syntax/syntax.rkt:713:0 ??? [72] 100.0% ------------------------------------------------------------------------------ ??? [7] 100.0% [27] 1664(1.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:282:52 hash-ref! [196] 100.0% ------------------------------------------------------------------------------ ??? [8] 100.0% [28] 1642(1.0%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:496:35 parse-loop14 [160] 100.0% ------------------------------------------------------------------------------ gf [247] 19.0% syntax-e [10] 81.0% [29] 1580(1.0%) 0(0.0%) syntax-e/no-taint (unknown source) loop [244] 100.0% ------------------------------------------------------------------------------ ??? [2] 100.0% [30] 1536(1.0%) 0(0.0%) mk-egraph ...bie/develop/src/core/egraph.rkt:131:0 mk-enode-rec! [43] 60.8% mk-enode! [102] 39.2% ------------------------------------------------------------------------------ ??? [1] 100.0% [31] 1208(0.8%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:309:0 infer-splitpoints [42] 100.0% ------------------------------------------------------------------------------ ??? [13] 100.0% [32] 614(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:393:33 hash-ref! [196] 100.0% ------------------------------------------------------------------------------ taylor-invert [11] 100.0% [33] 324(0.2%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:257:0 simplify [63] 100.0% ------------------------------------------------------------------------------ profile-thunk16 [16] 100.0% [34] 158246(100.0%) 0(0.0%) run ...racket/share/pkgs/profile-lib/main.rkt:39:2 ??? [1] 100.0% ------------------------------------------------------------------------------ run-improve39 [17] 100.0% [35] 139738(88.3%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:303:8 run-iter! [46] 100.0% ------------------------------------------------------------------------------ iterate-egraph!7 [18] 100.0% [36] 64818(41.0%) 334(0.2%) one-iter ...bie/develop/src/core/simplify.rkt:66:0 for-loop [47] 58.8% for-loop [48] 40.6% ------------------------------------------------------------------------------ hash-ref! [196] 2.7% map [152] 4.7% approximate9 [3] 12.7% for-loop [24] 31.8% taylor [37] 48.0% [37] 5908(3.7%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:163:0 taylor [37] 48.0% taylor-sqrt [51] 33.6% taylor-invert [11] 5.3% taylor-quotient [56] 5.1% map [152] 4.7% taylor-log [12] 2.1% ------------------------------------------------------------------------------ iterate-egraph!7 [18] 100.0% [38] 4638(2.9%) 0(0.0%) map-enodes ...ie/develop/src/core/egraph.rkt:140:0 loop [172] 81.2% set-precompute! [6] 18.8% ------------------------------------------------------------------------------ prepare-points [19] 100.0% [39] 3406(2.2%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:124:2 loop [49] 52.0% make-exacts* [50] 48.0% ------------------------------------------------------------------------------ loop [25] 100.0% [40] 3400(2.1%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:177:29 argmin [52] 64.5% loop [54] 26.4% loop [55] 9.1% ------------------------------------------------------------------------------ for-loop [23] 100.0% [41] 2794(1.8%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:132:0 eval-prog [133] 100.0% ------------------------------------------------------------------------------ get-final-combination [31] 100.0% [42] 1208(0.8%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:21:0 for-loop [53] 100.0% ------------------------------------------------------------------------------ mk-enode-rec! [43] 25.7% mk-egraph [30] 74.3% [43] 934(0.6%) 0(0.0%) mk-enode-rec! ...develop/src/core/egraph.rkt:122:0 mk-enode! [102] 74.3% mk-enode-rec! [43] 25.7% ------------------------------------------------------------------------------ for-loop [23] 100.0% [44] 920(0.6%) 0(0.0%) reduce-to-new! ...evelop/src/core/egraph.rkt:337:0 merge-egraph-nodes! [75] 100.0% ------------------------------------------------------------------------------ prepare-points [19] 100.0% [45] 300(0.2%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:195:19 ??? [57] 100.0% ------------------------------------------------------------------------------ for-loop [35] 100.0% [46] 139738(88.3%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:267:0 simplify! [58] 53.9% finalize-iter! [59] 29.3% gen-series! [62] 10.8% gen-rewrites! [64] 4.2% choose-best-alt! [65] 1.3% localize-error [68] 0.5% ------------------------------------------------------------------------------ one-iter [36] 100.0% [47] 38136(24.1%) 302(0.2%) for-loop ...ie/develop/src/core/simplify.rkt:113:2 for-loop [60] 82.1% match-e [61] 12.2% custom-set-intersect [67] 2.6% set [203] 2.4% ------------------------------------------------------------------------------ for-loop [48] 49.4% one-iter [36] 50.6% [48] 26348(16.7%) 6430(4.1%) for-loop ...ie/develop/src/core/simplify.rkt:76:12 for-loop [48] 49.4% match-e [61] 35.0% variable? [26] 1.8% ??? [107] 1.1% ------------------------------------------------------------------------------ loop [39] 18.1% prepare-points [19] 81.9% [49] 9760(6.2%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:107:4 loop [172] 100.0% ------------------------------------------------------------------------------ loop [39] 23.5% prepare-points [19] 76.5% [50] 6948(4.4%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:104:0 loop [172] 94.9% eval-prog [133] 5.1% ------------------------------------------------------------------------------ taylor [37] 100.0% [51] 3722(2.4%) 0(0.0%) taylor-sqrt ...e/develop/src/core/taylor.rkt:343:0 hash-ref! [196] 74.8% simplify [63] 25.2% ------------------------------------------------------------------------------ for-loop [40] 100.0% [52] 2194(1.4%) 0(0.0%) argmin ...92/racket/collects/racket/list.rkt:765:0 for-loop [129] 85.5% expression-cost [69] 14.5% ------------------------------------------------------------------------------ infer-splitpoints [42] 100.0% [53] 1208(0.8%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:33:6 option-on-expr [66] 100.0% ------------------------------------------------------------------------------ for-loop [40] 100.0% [54] 898(0.6%) 0(0.0%) loop .../p92/racket/collects/racket/list.rkt:751:4 for-loop [129] 100.0% ------------------------------------------------------------------------------ for-loop [40] 100.0% [55] 308(0.2%) 308(0.2%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------------------ taylor [37] 100.0% [56] 304(0.2%) 0(0.0%) taylor-quotient ...velop/src/core/taylor.rkt:325:0 simplify [63] 100.0% ------------------------------------------------------------------------------ for-loop [45] 100.0% [57] 300(0.2%) 0(0.0%) ??? ...ghtlies/herbie/develop/src/points.rkt:172:7 for-loop [70] 100.0% ------------------------------------------------------------------------------ run-iter! [46] 100.0% [58] 75314(47.6%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:181:0 for-loop [71] 100.0% ------------------------------------------------------------------------------ run-iter! [46] 100.0% [59] 40980(25.9%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:221:0 ??? [72] 100.0% ------------------------------------------------------------------------------ for-loop [47] 100.0% [60] 31300(19.8%) 280(0.2%) for-loop ...bie/develop/src/core/simplify.rkt:98:4 loop! [185] 30.4% merge-egraph-nodes! [75] 27.7% substitute-e [76] 21.4% mk-enode! [102] 19.5% ------------------------------------------------------------------------------ for-loop [47] 11.9% for-loop [88] 23.0% for-loop [48] 65.0% [61] 23062(14.6%) 8256(5.2%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [73] 56.3% ??? [72] 8.4% make-sequence [147] 2.1% variable? [26] 0.8% ------------------------------------------------------------------------------ run-iter! [46] 100.0% [62] 15064(9.5%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:151:0 for-loop [74] 100.0% ------------------------------------------------------------------------------ for-loop [22] 2.1% taylor-quotient [56] 2.2% first-nonzero-exp [33] 2.3% ??? [215] 2.6% taylor-log [12] 4.4% taylor-invert [11] 4.4% taylor-sqrt [51] 6.7% hash-ref! [196] 75.4% [63] 14084(8.9%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f8 [141] 42.8% parse-loop14 [160] 39.5% debug7 [79] 6.7% debug-print [108] 6.6% simplify* [80] 4.3% ------------------------------------------------------------------------------ run-iter! [46] 100.0% [64] 5860(3.7%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:164:0 for-loop [77] 100.0% ------------------------------------------------------------------------------ run-iter! [46] 100.0% [65] 1868(1.2%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:113:0 ??? [72] 100.0% ------------------------------------------------------------------------------ for-loop [53] 100.0% [66] 1208(0.8%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:101:0 for-loop [81] 49.7% sort-context-on-expr [83] 25.5% err-lsts->split-indices [84] 24.8% ------------------------------------------------------------------------------ for-loop [47] 100.0% [67] 974(0.6%) 0(0.0%) custom-set-intersect ...rivate/set-types.rkt:195:0 for-loop [78] 100.0% ------------------------------------------------------------------------------ run-iter! [46] 100.0% [68] 652(0.4%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:47:0 hash-ref! [196] 100.0% ------------------------------------------------------------------------------ argmin [52] 100.0% [69] 318(0.2%) 0(0.0%) expression-cost .../develop/src/programs.rkt:168:0 compile [82] 100.0% ------------------------------------------------------------------------------ ??? [57] 100.0% [70] 300(0.2%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:173:9 ??? [184] 100.0% ------------------------------------------------------------------------------ simplify! [58] 100.0% [71] 75314(47.6%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:185:6 for-loop [85] 100.0% ------------------------------------------------------------------------------ substitute-e [76] 0.6% variable? [26] 3.6% choose-best-alt! [65] 3.8% match-e [61] 8.1% finalize-iter! [59] 83.3% [72] 48988(31.0%) 3714(2.3%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [86] 83.3% hash-has-key? [93] 4.4% ??? [94] 3.8% ??? [197] 0.6% ------------------------------------------------------------------------------ match-e [61] 100.0% [73] 16234(10.3%) 5822(3.7%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [88] 60.4% list-cartesian-product [95] 7.4% foldl [96] 1.1% ------------------------------------------------------------------------------ gen-series! [62] 100.0% [74] 15064(9.5%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:157:7 taylor-alt [87] 100.0% ------------------------------------------------------------------------------ for-loop [92] 8.6% reduce-to-new! [44] 9.6% for-loop [60] 81.8% [75] 9604(6.1%) 622(0.4%) merge-egraph-nodes! ...p/src/core/egraph.rkt:153:0 update-leader! [90] 51.7% for-loop [92] 38.6% for-loop [231] 3.2% ------------------------------------------------------------------------------ for-loop [89] 5.9% for-loop [60] 94.1% [76] 6710(4.2%) 278(0.2%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 for-loop [89] 92.9% variable? [26] 1.6% ??? [72] 1.4% ------------------------------------------------------------------------------ gen-rewrites! [64] 100.0% [77] 5860(3.7%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:169:11 ??? [91] 100.0% ------------------------------------------------------------------------------ custom-set-intersect [67] 100.0% [78] 974(0.6%) 676(0.4%) for-loop ...cts/racket/private/set-types.rkt:207:3 for-loop [99] 30.6% ------------------------------------------------------------------------------ simplify [63] 100.0% [79] 948(0.6%) 302(0.2%) debug7 ...tlies/herbie/develop/src/debug.rkt:102:0 return/no-unsupplied [242] 34.2% ??? [197] 34.0% ------------------------------------------------------------------------------ simplify [63] 100.0% [80] 610(0.4%) 300(0.2%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 hash-ref! [196] 50.8% ------------------------------------------------------------------------------ option-on-expr [66] 100.0% [81] 600(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:109:4 errors [126] 100.0% ------------------------------------------------------------------------------ expression-cost [69] 100.0% [82] 318(0.2%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:145:0 hash-ref! [196] 100.0% ------------------------------------------------------------------------------ option-on-expr [66] 100.0% [83] 308(0.2%) 0(0.0%) sort-context-on-expr ...evelop/src/points.rkt:90:0 ??? [97] 100.0% ------------------------------------------------------------------------------ option-on-expr [66] 100.0% [84] 300(0.2%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:244:0 loop [98] 100.0% ------------------------------------------------------------------------------ for-loop [71] 100.0% [85] 75314(47.6%) 312(0.2%) for-loop .../herbie/develop/src/mainloop.rkt:209:8 ??? [184] 99.2% debug-print [108] 0.4% ------------------------------------------------------------------------------ ??? [72] 100.0% [86] 40980(25.9%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [100] 96.3% loop [106] 3.7% ------------------------------------------------------------------------------ for-loop [74] 100.0% [87] 15064(9.5%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:136:0 for-loop [101] 100.0% ------------------------------------------------------------------------------ for-loop [73] 100.0% [88] 11344(7.2%) 302(0.2%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [61] 89.1% ??? [107] 8.2% ------------------------------------------------------------------------------ substitute-e [76] 100.0% [89] 6432(4.1%) 290(0.2%) for-loop ...rbie/develop/src/core/ematch.rkt:80:24 mk-enode! [102] 86.3% substitute-e [76] 9.2% ------------------------------------------------------------------------------ for-loop [23] 15.1% merge-egraph-nodes! [75] 84.9% [90] 6108(3.9%) 322(0.2%) update-leader! ...evelop/src/core/egraph.rkt:218:0 for-loop [104] 55.4% for-loop [105] 39.3% ------------------------------------------------------------------------------ for-loop [77] 100.0% [91] 5860(3.7%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:60:0 rewriter [103] 100.0% ------------------------------------------------------------------------------ merge-egraph-nodes! [75] 100.0% [92] 3818(2.4%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:201:10 loop! [185] 75.4% merge-egraph-nodes! [75] 24.6% ------------------------------------------------------------------------------ ??? [72] 100.0% [93] 2164(1.4%) 298(0.2%) hash-has-key? ...ket/private/more-scheme.rkt:371:2 ??? [143] 71.7% ??? [110] 14.5% ------------------------------------------------------------------------------ ??? [72] 100.0% [94] 1868(1.2%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:54:0 ??? [184] 100.0% ------------------------------------------------------------------------------ list-cartesian-product [95] 40.0% for-loop [73] 60.0% [95] 1502(0.9%) 1502(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [95] 40.0% ------------------------------------------------------------------------------ for-loop [73] 100.0% [96] 342(0.2%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [109] 100.0% ------------------------------------------------------------------------------ sort-context-on-expr [83] 100.0% [97] 308(0.2%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:369:3 generic-sort/key [111] 100.0% ------------------------------------------------------------------------------ err-lsts->split-indices [84] 100.0% [98] 300(0.2%) 0(0.0%) loop .../herbie/develop/src/core/regimes.rkt:295:4 for-loop [112] 100.0% ------------------------------------------------------------------------------ for-loop [78] 100.0% [99] 298(0.2%) 298(0.2%) for-loop ...cts/racket/private/set-types.rkt:201:4 ------------------------------------------------------------------------------ for-loop [86] 100.0% [100] 39462(24.9%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:210:0 override-at-pnts [113] 55.7% best-and-tied-at-points [114] 43.5% ------------------------------------------------------------------------------ taylor-alt [87] 100.0% [101] 15064(9.5%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:142:6 ??? [184] 100.0% ------------------------------------------------------------------------------ mk-egraph [30] 4.6% mk-enode-rec! [43] 7.1% for-loop [89] 42.1% for-loop [60] 46.3% [102] 13184(8.3%) 0(0.0%) mk-enode! ...bie/develop/src/core/egraph.rkt:102:0 new-enode [115] 97.9% for-loop [125] 2.1% ------------------------------------------------------------------------------ ??? [91] 31.0% matcher [128] 69.0% [103] 5860(3.7%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [116] 98.0% *rules* [120] 2.0% ------------------------------------------------------------------------------ update-leader! [90] 100.0% [104] 3386(2.1%) 326(0.2%) for-loop ...rbie/develop/src/core/egraph.rkt:223:6 for-loop [117] 90.4% ------------------------------------------------------------------------------ update-leader! [90] 100.0% [105] 2400(1.5%) 1190(0.8%) for-loop ...rbie/develop/src/core/egraph.rkt:233:6 update-en-expr [233] 50.4% ------------------------------------------------------------------------------ for-loop [86] 100.0% [106] 1518(1.0%) 0(0.0%) loop ...erbie/develop/src/core/alt-table.rkt:184:2 argmax [121] 39.4% loop [172] 21.5% loop [123] 19.9% map [152] 19.2% ------------------------------------------------------------------------------ for-loop [48] 37.8% for-loop [88] 62.2% [107] 1502(0.9%) 282(0.2%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 for-loop [119] 81.2% ------------------------------------------------------------------------------ for-loop [85] 24.4% simplify [63] 75.6% [108] 1228(0.8%) 0(0.0%) debug-print .../herbie/develop/src/debug.rkt:107:0 for-loop [118] 100.0% ------------------------------------------------------------------------------ foldl [96] 100.0% [109] 342(0.2%) 342(0.2%) merge2 .../herbie/develop/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------------ hash-has-key? [93] 100.0% [110] 314(0.2%) 314(0.2%) ??? ...ects/racket/contract/private/hash.rkt:283:7 ------------------------------------------------------------------------------ ??? [97] 100.0% [111] 308(0.2%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [122] 100.0% ------------------------------------------------------------------------------ loop [98] 100.0% [112] 300(0.2%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:260:4 for-loop [124] 100.0% ------------------------------------------------------------------------------ atab-add-altn [100] 100.0% [113] 21972(13.9%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 errors [126] 98.5% ------------------------------------------------------------------------------ atab-add-altn [100] 100.0% [114] 17158(10.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [126] 96.4% for-loop [131] 3.6% ------------------------------------------------------------------------------ mk-enode! [102] 100.0% [115] 12904(8.2%) 0(0.0%) new-enode ...erbie/develop/src/core/enode.rkt:95:0 type-of-enode-expr [127] 100.0% ------------------------------------------------------------------------------ rewriter [103] 100.0% [116] 5860(3.7%) 298(0.2%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [128] 71.0% type-of [21] 27.7% ------------------------------------------------------------------------------ for-loop [104] 100.0% [117] 3060(1.9%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:224:8 hash-update! [130] 100.0% ------------------------------------------------------------------------------ debug-print [108] 100.0% [118] 1228(0.8%) 1228(0.8%) for-loop ...ies/herbie/develop/src/debug.rkt:113:2 ------------------------------------------------------------------------------ ??? [107] 100.0% [119] 1220(0.8%) 1220(0.8%) for-loop ...erbie/develop/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------------ rewriter [103] 100.0% [120] 598(0.4%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:643:0 for-loop [231] 100.0% ------------------------------------------------------------------------------ loop [106] 100.0% [121] 598(0.4%) 0(0.0%) argmax ...92/racket/collects/racket/list.rkt:766:0 for-loop [129] 100.0% ------------------------------------------------------------------------------ generic-sort/key [111] 33.3% copying-mergesort [122] 66.7% [122] 308(0.2%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [122] 66.7% loop [15] 33.3% ------------------------------------------------------------------------------ loop [106] 100.0% [123] 302(0.2%) 302(0.2%) loop ...erbie/develop/src/core/alt-table.rkt:106:2 ------------------------------------------------------------------------------ for-loop [112] 100.0% [124] 300(0.2%) 300(0.2%) for-loop ...bie/develop/src/core/regimes.rkt:264:8 ------------------------------------------------------------------------------ mk-enode! [102] 100.0% [125] 280(0.2%) 280(0.2%) for-loop ...bie/develop/src/core/egraph.rkt:114:10 ------------------------------------------------------------------------------ for-loop [81] 1.5% ??? [230] 4.6% best-and-tied-at-points [114] 40.4% override-at-pnts [113] 52.9% [126] 40954(25.9%) 312(0.2%) errors ...lies/herbie/develop/src/points.rkt:203:0 for-loop [132] 82.6% eval-prog [133] 16.7% ------------------------------------------------------------------------------ new-enode [115] 100.0% [127] 12904(8.2%) 0(0.0%) type-of-enode-expr ...elop/src/core/enode.rkt:68:0 ??? [134] 37.8% for-loop [162] 36.8% table-ref [135] 20.7% ...velop/src/common.rkt:48:2 [137] 4.7% ------------------------------------------------------------------------------ for-loop [136] 50.0% for-loop [116] 50.0% [128] 5860(3.7%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:168:2 for-loop [136] 50.0% rewriter [103] 50.0% ------------------------------------------------------------------------------ argmax [121] 17.7% loop [54] 26.6% argmin [52] 55.6% [129] 3372(2.1%) 0(0.0%) for-loop .../herbie/develop/src/programs.rkt:169:2 table-ref [135] 63.8% ...velop/src/common.rkt:48:2 [137] 36.2% ------------------------------------------------------------------------------ for-loop [117] 100.0% [130] 3060(1.9%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [138] 100.0% ------------------------------------------------------------------------------ best-and-tied-at-points [114] 100.0% [131] 610(0.4%) 610(0.4%) for-loop .../develop/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------------ errors [126] 100.0% [132] 33816(21.4%) 1558(1.0%) for-loop ...es/herbie/develop/src/points.rkt:206:4 ??? [139] 84.5% ??? [184] 6.5% ulp-difference [146] 3.6% ------------------------------------------------------------------------------ make-exacts* [50] 3.5% eval-const-expr [41] 28.0% errors [126] 68.4% [133] 9974(6.3%) 0(0.0%) eval-prog ...herbie/develop/src/programs.rkt:109:0 temp68_2 [140] 64.3% f8 [141] 23.0% eval [148] 6.1% loop [244] 3.6% hash-ref! [196] 3.0% ------------------------------------------------------------------------------ type-of [21] 40.8% type-of-enode-expr [127] 59.2% [134] 8232(5.2%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:227:4 contract-pos/neg-doubling/proc [142]100.0% ------------------------------------------------------------------------------ f8 [141] 5.4% type-of [21] 15.4% for-loop [129] 35.3% type-of-enode-expr [127] 43.9% [135] 6090(3.8%) 2156(1.4%) table-ref ...es/herbie/develop/src/common.rkt:47:0 ??? [143] 64.6% ------------------------------------------------------------------------------ matcher [128] 100.0% [136] 5860(3.7%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:184:21 matcher [128] 100.0% ------------------------------------------------------------------------------ type-of-enode-expr [127] 17.9% type-of [21] 18.2% f8 [141] 27.8% for-loop [129] 36.1% [137] 3380(2.1%) 1226(0.8%) ...velop/src/common.rkt:48:2 ...e/arr-i.rkt:918:19 ??? [145] 46.2% ??? [149] 17.5% ------------------------------------------------------------------------------ hash-update! [130] 100.0% [138] 3060(1.9%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:226:24 for-loop [144] 89.9% make-sequence [147] 10.1% ------------------------------------------------------------------------------ loop [15] 0.7% loop [172] 34.6% for-loop [132] 64.7% [139] 44150(27.9%) 1952(1.2%) ??? ...tlies/herbie/develop/src/programs.rkt:129:2 ??? [150] 80.5% ??? [184] 9.2% bf [153] 5.9% ------------------------------------------------------------------------------ f8 [141] 20.2% parse-loop14 [160] 33.8% eval-prog [133] 45.9% [140] 13970(8.8%) 0(0.0%) temp68_2 (unknown source) compile16 [151] 100.0% ------------------------------------------------------------------------------ hash-ref! [196] 5.7% eval-prog [133] 6.1% map [152] 8.0% parse-loop14 [160] 21.7% f8 [141] 24.2% simplify [63] 34.2% [141] 11414(7.2%) 332(0.2%) f8 ...et/collects/racket/match/compiler.rkt:507:40 map [152] 40.8% f8 [141] 24.2% temp68_2 [140] 19.8% loop [9] 3.6% loop [244] 2.8% eval-one-top12 [157] 2.6% ...velop/src/common.rkt:48:2 [137] 2.3% bf [153] 1.6% table-ref [135] 1.4% inductor [14] 0.4% ------------------------------------------------------------------------------ ??? [134] 100.0% [142] 8232(5.2%) 7924(5.0%) contract-pos/neg-doubling/proc ...e/guts.rkt:956:0 ??? [156] 3.7% ------------------------------------------------------------------------------ hash-has-key? [93] 28.3% table-ref [135] 71.7% [143] 5486(3.5%) 2714(1.7%) ??? ...ects/racket/contract/private/list.rkt:798:4 for-loop [154] 28.2% ??? [165] 16.9% arrow-higher-order:lnp [166] 5.5% ------------------------------------------------------------------------------ ??? [138] 100.0% [144] 2750(1.7%) 1842(1.2%) for-loop ...bie/develop/src/core/egraph.rkt:227:26 update-en-expr [233] 33.0% ------------------------------------------------------------------------------ ??? [174] 10.2% for-loop [190] 20.6% ...velop/src/common.rkt:48:2 [137] 69.2% [145] 1562(1.0%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:367:4 ??? [174] 69.2% ??? [197] 30.8% ------------------------------------------------------------------------------ for-loop [132] 100.0% [146] 1214(0.8%) 902(0.6%) ulp-difference ...erbie/develop/src/float.rkt:19:0 return/no-unsupplied [242] 25.7% ------------------------------------------------------------------------------ ??? [138] 32.1% match-e [61] 67.9% [147] 966(0.6%) 966(0.6%) make-sequence ...ects/racket/private/for.rkt:528:2 ------------------------------------------------------------------------------ eval-prog [133] 100.0% [148] 610(0.4%) 298(0.2%) eval (unknown source) namespace-syntax-introduce3 [155] 51.1% ------------------------------------------------------------------------------ ...velop/src/common.rkt:48:2 [137] 100.0% [149] 592(0.4%) 300(0.2%) ??? ...s/racket/contract/private/arr-i.rkt:1286:39 assoc-ref [158] 49.3% ------------------------------------------------------------------------------ ??? [139] 100.0% [150] 35540(22.5%) 16038(10.1%) ??? ...acket/collects/racket/private/kw.rkt:592:14 ??? [161] 23.8% ??? [175] 17.2% ??? [163] 7.3% bf* [164] 3.9% ??? [206] 1.7% ...higher-order.rkt:361:33 [167] 1.0% ------------------------------------------------------------------------------ temp68_2 [140] 100.0% [151] 13970(8.8%) 0(0.0%) compile16 (unknown source) temp74_0 [159] 97.8% loop [244] 2.2% ------------------------------------------------------------------------------ loop [172] 2.7% loop [106] 4.7% taylor [37] 15.4% f8 [141] 77.2% [152] 6266(4.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:35:13 parse-loop14 [160] 41.9% f8 [141] 20.1% taylor [37] 15.4% loop [172] 7.3% ??? [168] 5.1% loop [169] 5.1% ??? [184] 2.7% make-multiplication-node [179] 2.4% ------------------------------------------------------------------------------ f8 [141] 12.0% ??? [139] 88.0% [153] 2940(1.9%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [200] 88.2% ??? [205] 11.8% ------------------------------------------------------------------------------ ??? [143] 100.0% [154] 1546(1.0%) 298(0.2%) for-loop ...acket/contract/private/list.rkt:804:12 for-loop [162] 40.4% arrow-higher-order:lnp [166] 21.1% ??? [165] 19.3% ------------------------------------------------------------------------------ eval [148] 100.0% [155] 312(0.2%) 0(0.0%) namespace-syntax-introduce3 (unknown source) free-identifier=? [170] 100.0% ------------------------------------------------------------------------------ contract-pos/neg-doubling/proc [142]100.0% [156] 308(0.2%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:191:2 ??? [171] 100.0% ------------------------------------------------------------------------------ f8 [141] 100.0% [157] 296(0.2%) 296(0.2%) eval-one-top12 (unknown source) ------------------------------------------------------------------------------ ??? [149] 100.0% [158] 292(0.2%) 292(0.2%) assoc-ref ...collects/racket/private/dict.rkt:56:0 ------------------------------------------------------------------------------ compile16 [151] 100.0% [159] 13660(8.6%) 0(0.0%) temp74_0 (unknown source) expand-single [173] 79.7% compile-top9 [176] 20.3% ------------------------------------------------------------------------------ loop [172] 0.7% hash-ref! [196] 7.4% for-loop [28] 14.9% map [152] 18.6% parse-loop14 [160] 21.5% simplify [63] 36.9% [160] 8778(5.5%) 606(0.4%) parse-loop14 ...s/racket/match/compiler.rkt:418:15 temp68_2 [140] 28.4% parse-loop14 [160] 21.5% f8 [141] 17.7% for-loop [177] 14.9% loop [172] 8.1% make-keyword-procedure [178] 3.4% make-multiplication-node [179] 1.8% ------------------------------------------------------------------------------ ??? [150] 100.0% [161] 8454(5.3%) 5908(3.7%) ??? ...herbie/develop/src/syntax/syntax.rkt:195:17 ??? 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[143] 47.9% for-loop [154] 52.1% [166] 626(0.4%) 326(0.2%) arrow-higher-order:lnp ...w-higher-order.rkt:633:7 ??? [182] 47.9% ------------------------------------------------------------------------------ ??? [150] 100.0% [167] 356(0.2%) 0(0.0%) ...higher-order.rkt:361:33 (unknown source) ??? [174] 100.0% ------------------------------------------------------------------------------ map [152] 100.0% [168] 320(0.2%) 0(0.0%) ??? ...ies/herbie/develop/src/core/reduce.rkt:61:5 for-loop [180] 100.0% ------------------------------------------------------------------------------ map [152] 1.9% loop [169] 98.1% [169] 318(0.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:54:19 loop [169] 98.1% ------------------------------------------------------------------------------ namespace-syntax-introduce3 [155] 100.0% [170] 312(0.2%) 0(0.0%) free-identifier=? (unknown source) resolve+shift28 [250] 100.0% ------------------------------------------------------------------------------ ??? [156] 100.0% [171] 308(0.2%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:739:5 get/build-late-neg-projection [181] 100.0% ------------------------------------------------------------------------------ make-exacts* [50] 0.0% map [152] 0.1% loop [106] 0.1% loop [49] 0.2% ??? [219] 1.0% parse-loop14 [160] 2.1% map-enodes [38] 4.1% loop! [185] 7.0% loop [172] 85.3% [172] 30624(19.4%) 626(0.4%) loop ...cket/collects/racket/private/map.rkt:40:19 loop [172] 85.3% loop! [185] 7.0% set-precompute! [6] 4.1% hash-ref! [196] 1.8% parse-loop14 [160] 1.0% ??? [139] 0.2% map [152] 0.0% ??? [184] 0.0% ------------------------------------------------------------------------------ temp74_0 [159] 100.0% [173] 10890(6.9%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [186] 100.0% ------------------------------------------------------------------------------ ...higher-order.rkt:361:33 [167] 3.9% ??? [145] 16.9% for-loop [162] 79.3% [174] 9244(5.8%) 1568(1.0%) ??? ...cts/racket/contract/private/list.rkt:209:10 ??? [187] 69.4% for-loop [190] 10.2% ??? [145] 3.5% ------------------------------------------------------------------------------ bf* [164] 18.3% ??? [150] 81.7% [175] 7500(4.7%) 3578(2.3%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [188] 48.0% bflog [192] 4.3% ------------------------------------------------------------------------------ temp74_0 [159] 100.0% [176] 2770(1.8%) 0(0.0%) compile-top9 (unknown source) compile-forms31 [189] 100.0% ------------------------------------------------------------------------------ parse-loop14 [160] 100.0% [177] 1642(1.0%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:499:59 hash-ref! [196] 100.0% ------------------------------------------------------------------------------ parse-loop14 [160] 24.2% ??? [165] 75.8% [178] 1222(0.8%) 1222(0.8%) make-keyword-procedure ...ket/private/kw.rkt:407:4 ------------------------------------------------------------------------------ map [152] 49.2% parse-loop14 [160] 50.8% [179] 614(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:230:0 make-multiplication-subnode [191] 100.0% ------------------------------------------------------------------------------ ??? [168] 100.0% [180] 320(0.2%) 0(0.0%) for-loop ...erbie/develop/src/core/reduce.rkt:62:7 pattern-match [193] 100.0% ------------------------------------------------------------------------------ ??? [171] 100.0% [181] 308(0.2%) 0(0.0%) get/build-late-neg-projection ...te/guts.rkt:793:0 ??? [194] 100.0% ------------------------------------------------------------------------------ arrow-higher-order:lnp [166] 100.0% [182] 300(0.2%) 300(0.2%) ??? ...et/contract/private/arity-checking.rkt:19:2 ------------------------------------------------------------------------------ loop [183] 50.0% ??? [165] 50.0% [183] 298(0.2%) 298(0.2%) loop ...ts/racket/contract/private/blame.rkt:320:2 loop [183] 50.0% ------------------------------------------------------------------------------ for-loop [70] 0.3% map [152] 0.3% loop [172] 1.1% ??? [94] 1.4% loop [20] 1.5% ??? [5] 1.7% for-loop [132] 1.9% ??? [139] 4.0% for-loop [101] 6.0% for-loop [85] 37.7% location-do [195] 43.8% [184] 98964(62.5%) 958(0.6%) ??? ...tract/private/arrow-higher-order.rkt:357:33 location-do [195] 43.8% ??? [2] 37.6% ->flonum [198] 7.1% approximate9 [3] 6.0% hash-ref! [196] 3.2% best-alt [204] 1.4% ??? [209] 0.2% ------------------------------------------------------------------------------ for-loop [92] 19.8% loop [172] 34.8% for-loop [60] 45.3% [185] 13020(8.2%) 1528(1.0%) loop! ...s/herbie/develop/src/core/enode.rkt:190:2 custom-set-union [201] 37.2% loop [172] 34.8% set [203] 13.6% update-en-expr [233] 9.5% ------------------------------------------------------------------------------ loop [244] 8.3% expand-single [173] 91.7% [186] 11878(7.5%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [199] 49.0% for-loop [254] 20.8% dispatch-transformer41 [202] 13.5% expand-id-application-form17 [246] 8.4% loop [244] 5.8% expand-identifier [249] 2.6% ------------------------------------------------------------------------------ ??? [174] 100.0% [187] 6412(4.1%) 328(0.2%) ??? ...ects/racket/contract/private/list.rkt:747:7 ??? [197] 90.3% ??? [206] 4.6% ------------------------------------------------------------------------------ ??? [175] 100.0% [188] 3598(2.3%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [200] 80.4% ??? [205] 19.6% ------------------------------------------------------------------------------ compile-top9 [176] 100.0% [189] 2770(1.8%) 658(0.4%) compile-forms31 (unknown source) for-loop [254] 64.7% loop! [208] 11.6% ------------------------------------------------------------------------------ ??? [174] 100.0% [190] 944(0.6%) 302(0.2%) for-loop ...acket/contract/private/list.rkt:212:15 ??? [145] 68.0% ------------------------------------------------------------------------------ make-multiplication-node [179] 100.0% [191] 614(0.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:240:0 for-loop [207] 100.0% ------------------------------------------------------------------------------ ??? [175] 100.0% [192] 324(0.2%) 324(0.2%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:618:4 ------------------------------------------------------------------------------ for-loop [180] 100.0% [193] 320(0.2%) 320(0.2%) pattern-match ...develop/src/core/matcher.rkt:48:0 ------------------------------------------------------------------------------ get/build-late-neg-projection [181] 100.0% [194] 308(0.2%) 0(0.0%) ??? ...cts/racket/contract/private/prop.rkt:344:12 build-compound-type-name [210] 100.0% ------------------------------------------------------------------------------ location-do [195] 47.8% ??? [184] 52.2% [195] 89766(56.7%) 0(0.0%) location-do ...erbie/develop/src/programs.rkt:90:0 ??? [184] 52.2% location-do [195] 47.8% ------------------------------------------------------------------------------ simplify* [80] 0.5% eval-prog [133] 0.6% compile [82] 0.6% for-loop [32] 0.7% for-loop [177] 1.6% ??? [219] 1.8% localize-error [68] 2.0% for-loop [27] 2.9% ??? [215] 3.5% ??? 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[241] 21.6% ------------------------------------------------------------------------------ expand-capturing-lifts [186] 100.0% [199] 5818(3.7%) 598(0.4%) lambda-clause-expander (unknown source) finish-bodys [213] 69.0% loop [244] 15.5% expand-body7 [226] 5.2% ------------------------------------------------------------------------------ bf [153] 47.3% bfmul [188] 52.7% [200] 5486(3.5%) 5486(3.5%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ------------------------------------------------------------------------------ loop! [185] 100.0% [201] 5292(3.3%) 912(0.6%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [214] 71.5% for-loop [222] 11.3% ------------------------------------------------------------------------------ loop [244] 19.2% expand-capturing-lifts [186] 34.0% for-loop [254] 46.8% [202] 4704(3.0%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [212] 100.0% ------------------------------------------------------------------------------ for-loop [47] 19.8% loop! [185] 80.2% [203] 4660(2.9%) 4352(2.8%) set ...collects/racket/private/set-types.rkt:981:0 for-loop [224] 6.6% ------------------------------------------------------------------------------ ??? 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