Profiling results ----------------- Total cpu time observed: 507292ms (out of 519624ms) Number of samples taken: 2523 (once every 201ms) (Hiding functions with self<1.0% and local<2.0%: 13 of 206 hidden) ================================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================ ??? [57] 100.0% [1] 478170(94.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% -------------------------------------------------------------------------------- ??? [57] 100.0% [2] 147314(29.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [16] 68.0% for-loop [17] 20.2% loop [15] 9.3% get-final-combination [23] 2.2% setup-prog [25] 0.2% -------------------------------------------------------------------------------- hash-ref! [165] 100.0% [3] 28136(5.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 100.0% -------------------------------------------------------------------------------- simplify-alt [34] 1.5% loop [93] 10.7% ??? [57] 87.8% [4] 24434(4.8%) 306(0.1%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [29] 43.2% iterate-egraph!5 [38] 39.5% for-loop [22] 16.0% -------------------------------------------------------------------------------- hash-ref! [165] 100.0% [5] 22066(4.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 100.0% -------------------------------------------------------------------------------- post-process [27] 2.4% loop [93] 97.6% [6] 18322(3.6%) 356(0.1%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [29] 96.9% debug-print [135] 1.2% -------------------------------------------------------------------------------- hash-ref! [165] 100.0% [7] 5664(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [20] 100.0% -------------------------------------------------------------------------------- f94 [156] 100.0% [8] 5114(1.0%) 860(0.2%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [21] 83.2% -------------------------------------------------------------------------------- for-loop [95] 4.2% map [47] 4.7% f94 [156] 26.3% hash-ref! [165] 64.8% [9] 4662(0.9%) 1384(0.3%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [93] 32.6% debug7 [136] 19.3% debug-print [135] 18.3% -------------------------------------------------------------------------------- loop [10] 6.2% location-do [76] 93.8% [10] 3374(0.7%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [84] 93.8% loop [10] 6.2% -------------------------------------------------------------------------------- ??? [60] 9.1% f94 [156] 90.9% [11] 2352(0.5%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [120] 72.6% simplify [119] 27.4% -------------------------------------------------------------------------------- hash-ref! [165] 25.3% f94 [156] 74.7% [12] 846(0.2%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [120] 74.7% simplify [119] 25.3% -------------------------------------------------------------------------------- hash-ref! [165] 100.0% [13] 440(0.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [24] 100.0% -------------------------------------------------------------------------------- profile-thunk14 [1] 99.8% [14] 479218(94.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [57] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 3.9% ??? [57] 96.1% [15] 350880(69.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [26] 48.1% make-exacts* [35] 37.9% loop [36] 13.4% for-loop [32] 0.6% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 100204(19.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [27] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 29742(5.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [28] 100.0% -------------------------------------------------------------------------------- ??? [3] 100.0% [18] 28136(5.5%) 238(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [30] 63.6% hash-ref! [165] 25.3% simplify [119] 10.3% -------------------------------------------------------------------------------- ??? [5] 100.0% [19] 22066(4.3%) 344(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [165] 99.5% -------------------------------------------------------------------------------- ??? [7] 100.0% [20] 5664(1.1%) 220(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [165] 84.5% simplify [119] 11.6% -------------------------------------------------------------------------------- combine-mterms [8] 100.0% [21] 4254(0.8%) 1488(0.3%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [165] 65.0% -------------------------------------------------------------------------------- simplify [4] 100.0% [22] 3916(0.8%) 238(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [38] 82.3% loop [44] 6.1% simplify-expr [29] 5.5% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [23] 3278(0.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [31] 100.0% -------------------------------------------------------------------------------- ??? [13] 100.0% [24] 440(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [33] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [25] 362(0.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [34] 100.0% -------------------------------------------------------------------------------- loop [15] 100.0% [26] 168676(33.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [36] 58.4% make-exacts* [35] 41.2% eval-prog [98] 0.4% -------------------------------------------------------------------------------- finalize-table! [16] 100.0% [27] 100204(19.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [37] 77.1% loop [93] 19.9% ??? [52] 2.1% localize-error [41] 0.5% completely-simplify-alt [6] 0.4% -------------------------------------------------------------------------------- for-loop [17] 100.0% [28] 29742(5.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [39] 72.2% gen-series! [40] 17.2% finalize-iter! [42] 7.3% localize-error [41] 2.6% choose-best-alt! [46] 0.8% -------------------------------------------------------------------------------- for-loop [22] 0.8% simplify [4] 37.0% completely-simplify-alt [6] 62.2% [29] 28532(5.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [38] 95.4% loop [44] 4.6% -------------------------------------------------------------------------------- ??? [175] 6.1% for-loop [18] 93.9% [30] 21926(4.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [165] 100.0% -------------------------------------------------------------------------------- get-final-combination [23] 100.0% [31] 3278(0.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [93] 79.6% loop [91] 13.1% argmins [45] 7.3% -------------------------------------------------------------------------------- loop [15] 100.0% [32] 2128(0.4%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [43] 100.0% -------------------------------------------------------------------------------- for-loop [24] 100.0% [33] 440(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [165] 100.0% -------------------------------------------------------------------------------- setup-prog [25] 100.0% [34] 362(0.1%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [4] 100.0% -------------------------------------------------------------------------------- loop [26] 34.3% loop [15] 65.7% [35] 202436(39.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [47] 51.4% loop [93] 48.4% eval-prog [98] 0.2% -------------------------------------------------------------------------------- loop [15] 32.2% loop [26] 67.8% [36] 145478(28.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [47] 100.0% -------------------------------------------------------------------------------- post-process [27] 100.0% [37] 77254(15.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [48] 100.0% -------------------------------------------------------------------------------- for-loop [22] 8.0% simplify [4] 24.1% simplify-expr [29] 67.9% [38] 40096(7.9%) 238(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [49] 96.1% map-enodes [54] 2.8% *simplify-rules* [56] 0.5% -------------------------------------------------------------------------------- run-iter! [28] 100.0% [39] 21464(4.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [50] 100.0% -------------------------------------------------------------------------------- run-iter! [28] 100.0% [40] 5122(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [51] 100.0% -------------------------------------------------------------------------------- post-process [27] 15.5% run-iter! [28] 24.7% loop [93] 59.8% [41] 3082(0.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [165] 84.6% sort [183] 15.4% -------------------------------------------------------------------------------- run-iter! [28] 100.0% [42] 2172(0.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [52] 100.0% -------------------------------------------------------------------------------- for-loop [32] 100.0% [43] 2128(0.4%) 698(0.1%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [64] 54.8% sample [55] 12.4% -------------------------------------------------------------------------------- for-loop [22] 15.5% simplify-expr [29] 84.5% [44] 1544(0.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [53] 100.0% -------------------------------------------------------------------------------- extract-alt [31] 100.0% [45] 240(0.0%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [166] 100.0% -------------------------------------------------------------------------------- run-iter! [28] 100.0% [46] 224(0.0%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [52] 100.0% -------------------------------------------------------------------------------- gather-multiplicative-terms [168] 0.1% ??? [60] 0.2% parse-loop12 [132] 0.4% f94 [156] 13.4% make-exacts* [35] 35.8% loop [36] 50.1% [47] 290582(57.3%) 2040(0.4%) map ...acket/collects/racket/private/map.rkt:21:13 loop [93] 84.7% f94 [156] 9.2% parse-loop12 [132] 1.6% ??? [60] 1.0% ??? [105] 1.0% simplify-node [134] 0.9% make-multiplication-node [157] 0.5% ->flonum [158] 0.4% ??? [149] 0.1% gather-multiplicative-terms [168] 0.1% taylor [9] 0.1% simplify* [150] 0.0% loop [152] 0.0% make-addition-node [151] 0.0% -------------------------------------------------------------------------------- append-map [48] 0.1% simplify-node [134] 1.5% f94 [156] 16.7% for-loop [37] 81.7% [48] 78390(15.5%) 3606(0.7%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [58] 78.8% f94 [156] 11.6% loop [93] 2.9% parse-loop12 [132] 2.8% free-variables [177] 1.4% loop [179] 0.5% append-map [48] 0.1% -------------------------------------------------------------------------------- iterate-egraph!5 [38] 100.0% [49] 38550(7.6%) 2468(0.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [59] 78.7% loop [62] 9.7% apply-match [69] 2.9% filter [161] 0.5% -------------------------------------------------------------------------------- simplify! [39] 100.0% [50] 21464(4.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [57] 100.0% -------------------------------------------------------------------------------- gen-series! [40] 100.0% [51] 5122(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [58] 100.0% -------------------------------------------------------------------------------- choose-best-alt! [46] 4.5% debug7 [136] 9.2% post-process [27] 42.3% finalize-iter! [42] 43.9% [52] 4944(1.0%) 456(0.1%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [61] 82.2% atab-pick-alt8 [65] 4.5% atab-add-altns [66] 4.0% -------------------------------------------------------------------------------- loop [44] 100.0% [53] 1544(0.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [63] 100.0% -------------------------------------------------------------------------------- iterate-egraph!5 [38] 100.0% [54] 1110(0.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [93] 100.0% -------------------------------------------------------------------------------- for-loop [43] 100.0% [55] 264(0.1%) 0(0.0%) sample /home/ztatlock/herbie/src/points.rkt:68:0 sample-default [64] 100.0% -------------------------------------------------------------------------------- iterate-egraph!5 [38] 100.0% [56] 198(0.0%) 0(0.0%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 for-loop [67] 100.0% -------------------------------------------------------------------------------- for-loop [50] 1.5% run [14] 48.9% [57] 484466(95.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.6% loop [15] 35.2% run-improve58 [2] 14.6% simplify [4] 1.5% -------------------------------------------------------------------------------- loop [93] 2.9% for-loop [51] 6.2% append-map [48] 90.9% [58] 82376(16.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [68] 100.0% -------------------------------------------------------------------------------- for-loop [59] 49.6% one-iter [49] 50.4% [59] 30328(6.0%) 6288(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [59] 49.6% match-e [77] 38.9% ??? [110] 0.7% -------------------------------------------------------------------------------- loop [93] 23.1% map [47] 76.9% [60] 5250(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f94 [156] 58.8% hash-ref! [165] 30.6% map [47] 6.5% taylor-invert [11] 4.1% -------------------------------------------------------------------------------- ??? [52] 100.0% [61] 4064(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [70] 100.0% -------------------------------------------------------------------------------- one-iter [49] 100.0% [62] 3748(0.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [69] 100.0% -------------------------------------------------------------------------------- pass [53] 100.0% [63] 1544(0.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [71] 43.5% loop [72] 29.5% for-loop [74] 14.1% make-sequence [121] 12.8% -------------------------------------------------------------------------------- sample [55] 18.5% for-loop [43] 81.5% [64] 1430(0.3%) 438(0.1%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [169] 69.4% -------------------------------------------------------------------------------- ??? [52] 100.0% [65] 224(0.0%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [73] 100.0% -------------------------------------------------------------------------------- ??? [52] 100.0% [66] 200(0.0%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [70] 100.0% -------------------------------------------------------------------------------- *simplify-rules* [56] 100.0% [67] 198(0.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ormap [75] 100.0% -------------------------------------------------------------------------------- taylor-alt [58] 100.0% [68] 82376(16.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [76] 100.0% -------------------------------------------------------------------------------- one-iter [49] 23.1% loop [62] 76.9% [69] 4876(1.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [87] 54.8% match-e [77] 21.6% for-loop [80] 14.6% mk-enode! [90] 9.0% -------------------------------------------------------------------------------- atab-add-altns [66] 4.7% for-loop [61] 95.3% [70] 4264(0.8%) 200(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [78] 80.1% override-at-pnts [81] 10.6% loop [83] 4.6% -------------------------------------------------------------------------------- for-loop [63] 100.0% [71] 672(0.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [79] 100.0% -------------------------------------------------------------------------------- for-loop [63] 100.0% [72] 456(0.1%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [79] 100.0% -------------------------------------------------------------------------------- atab-pick-alt8 [65] 100.0% [73] 224(0.0%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [82] 100.0% -------------------------------------------------------------------------------- for-loop [63] 100.0% [74] 218(0.0%) 218(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------------- for-loop [67] 100.0% [75] 198(0.0%) 0(0.0%) ormap ...et/collects/racket/private/map.rkt:106:13 ??? [169] 100.0% -------------------------------------------------------------------------------- location-do [76] 46.1% for-loop [68] 53.9% [76] 82376(16.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [84] 52.0% location-do [76] 46.1% loop [10] 1.7% simplify [119] 0.1% -------------------------------------------------------------------------------- apply-match [69] 4.3% for-loop [96] 7.5% for-loop [59] 88.3% [77] 24676(4.9%) 15914(3.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [85] 20.6% for-loop [96] 10.0% list-cartesian-product [99] 3.2% custom-in-set [137] 1.7% loop [93] 1.6% filter [161] 1.0% constant? [186] 0.8% variable? [187] 0.3% -------------------------------------------------------------------------------- atab-add-altn [70] 100.0% [78] 3416(0.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [86] 68.2% for-loop [89] 31.8% -------------------------------------------------------------------------------- loop [72] 40.4% argmin [71] 59.6% [79] 1128(0.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [88] 100.0% -------------------------------------------------------------------------------- apply-match [69] 100.0% [80] 712(0.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [87] 33.7% loop! [107] 33.4% mk-enode! [90] 32.9% -------------------------------------------------------------------------------- atab-add-altn [70] 100.0% [81] 452(0.1%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [86] 100.0% -------------------------------------------------------------------------------- ??? [73] 100.0% [82] 224(0.0%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [91] 100.0% -------------------------------------------------------------------------------- atab-add-altn [70] 100.0% [83] 196(0.0%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [92] 100.0% -------------------------------------------------------------------------------- loop [10] 4.1% location-do [76] 95.9% [84] 82138(16.2%) 286(0.1%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [94] 87.5% for-loop [95] 9.4% f94 [156] 2.5% for-loop [104] 0.2% -------------------------------------------------------------------------------- match-e [77] 100.0% [85] 5702(1.1%) 2860(0.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [96] 36.1% list-cartesian-product [99] 7.7% loop [103] 4.1% loop [93] 3.8% -------------------------------------------------------------------------------- override-at-pnts [81] 12.3% composed [166] 24.3% best-and-tied-at-points [78] 63.4% [86] 3676(0.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [97] 63.7% eval-prog [98] 36.3% -------------------------------------------------------------------------------- merge-egraph-nodes! [87] 4.1% for-loop [100] 8.0% for-loop [80] 8.2% apply-match [69] 79.6% [87] 2910(0.6%) 200(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 loop! [107] 22.9% update-leader! [101] 21.9% for-loop [100] 20.2% make-sequence [121] 15.8% for-loop [102] 8.2% merge-egraph-nodes! [87] 4.1% -------------------------------------------------------------------------------- expression-cost [79] 100.0% [88] 1128(0.2%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [165] 100.0% -------------------------------------------------------------------------------- best-and-tied-at-points [78] 100.0% [89] 1086(0.2%) 1086(0.2%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 -------------------------------------------------------------------------------- for-loop [80] 34.7% apply-match [69] 65.3% [90] 674(0.1%) 674(0.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 -------------------------------------------------------------------------------- best-alt [82] 34.3% extract-alt [31] 65.7% [91] 654(0.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [166] 100.0% -------------------------------------------------------------------------------- loop [83] 7.7% loop [92] 92.3% [92] 196(0.0%) 196(0.0%) loop ...are/racket/collects/racket/list.rkt:431:28 loop [92] 92.3% -------------------------------------------------------------------------------- errors-score [192] 0.0% map-enodes [54] 0.0% for-loop [85] 0.1% match-e [77] 0.1% loop! [107] 0.1% parse-loop12 [132] 0.2% extract-alt [31] 0.2% post-process [27] 0.4% taylor [9] 0.4% append-map [48] 0.4% ??? [105] 0.7% make-exacts* [35] 0.9% map [47] 2.5% f94 [156] 2.7% loop [93] 91.4% [93] 387712(76.4%) 17346(3.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [93] 91.4% ??? [105] 3.3% simplify [119] 3.1% taylor-alt [58] 0.4% real->bigfloat [118] 0.3% completely-simplify-alt [6] 0.3% simplify [4] 0.2% ->flonum [158] 0.2% foldl [111] 0.1% ??? [60] 0.1% ??? [164] 0.1% f94 [156] 0.1% loop! [107] 0.1% localize-error [41] 0.1% hash-ref! [165] 0.0% for-loop [109] 0.0% set-precompute! [112] 0.0% ??? [154] 0.0% ...higher-order.rkt:373:33 [131] 0.0% bffma [133] 0.0% -------------------------------------------------------------------------------- approximate9 [84] 100.0% [94] 71892(14.2%) 11464(2.3%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [165] 74.1% loop [106] 9.7% -------------------------------------------------------------------------------- approximate9 [84] 100.0% [95] 7694(1.5%) 238(0.0%) for-loop ...tlock/herbie/src/core/taylor.rkt:28:18 f94 [156] 89.2% taylor-sqrt [108] 5.2% taylor [9] 2.6% -------------------------------------------------------------------------------- for-loop [85] 37.4% match-e [77] 62.6% [96] 5802(1.1%) 1966(0.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [77] 62.4% ??? [110] 3.8% -------------------------------------------------------------------------------- errors [86] 100.0% [97] 2340(0.5%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [105] 100.0% -------------------------------------------------------------------------------- make-exacts* [35] 14.2% loop [26] 27.3% errors [86] 58.5% [98] 2282(0.4%) 1506(0.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [165] 14.7% go [113] 14.3% ??? [116] 5.0% -------------------------------------------------------------------------------- list-cartesian-product [99] 24.0% for-loop [85] 25.3% match-e [77] 50.7% [99] 1338(0.3%) 1338(0.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [99] 24.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [87] 100.0% [100] 940(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [107] 50.4% merge-egraph-nodes! [87] 49.6% -------------------------------------------------------------------------------- merge-egraph-nodes! [87] 100.0% [101] 636(0.1%) 400(0.1%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [114] 37.1% -------------------------------------------------------------------------------- merge-egraph-nodes! [87] 100.0% [102] 240(0.0%) 240(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 -------------------------------------------------------------------------------- for-loop [85] 100.0% [103] 236(0.0%) 236(0.0%) loop ...e/racket/collects/racket/function.rkt:53:6 -------------------------------------------------------------------------------- approximate9 [84] 100.0% [104] 198(0.0%) 0(0.0%) for-loop ...atlock/herbie/src/core/taylor.rkt:18:8 replace-expression [115] 100.0% -------------------------------------------------------------------------------- for-loop [97] 0.7% map [47] 0.8% loop [93] 98.5% [105] 348396(68.7%) 6290(1.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [117] 68.0% loop [93] 25.3% real->bigfloat [118] 3.1% ??? [164] 1.5% -------------------------------------------------------------------------------- loop [94] 100.0% [106] 6942(1.4%) 6722(1.3%) loop .../ztatlock/herbie/src/core/taylor.rkt:151:2 hash-ref! [165] 3.2% -------------------------------------------------------------------------------- for-loop [80] 14.8% for-loop [100] 22.1% loop [93] 28.5% merge-egraph-nodes! [87] 34.6% [107] 1612(0.3%) 460(0.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [93] 41.9% custom-set-union [123] 29.7% update-en-expr [124] 7.4% set [126] 6.8% -------------------------------------------------------------------------------- for-loop [95] 40.0% hash-ref! [165] 60.0% [108] 994(0.2%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [165] 60.0% simplify [119] 20.1% first-nonzero-exp [120] 19.9% -------------------------------------------------------------------------------- loop [93] 100.0% [109] 710(0.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [122] 100.0% -------------------------------------------------------------------------------- for-loop [96] 34.3% for-loop [59] 65.7% [110] 636(0.1%) 418(0.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [127] 34.3% -------------------------------------------------------------------------------- loop [93] 100.0% [111] 616(0.1%) 416(0.1%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [129] 32.5% -------------------------------------------------------------------------------- loop [93] 100.0% [112] 400(0.1%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [121] 100.0% -------------------------------------------------------------------------------- eval-prog [98] 100.0% [113] 326(0.1%) 110(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [128] 66.3% -------------------------------------------------------------------------------- update-leader! [101] 100.0% [114] 236(0.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [125] 100.0% -------------------------------------------------------------------------------- replace-expression [115] 50.0% for-loop [104] 50.0% [115] 198(0.0%) 198(0.0%) replace-expression ...erbie/src/programs.rkt:119:0 replace-expression [115] 50.0% -------------------------------------------------------------------------------- eval-prog [98] 100.0% [116] 114(0.0%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [130] 100.0% -------------------------------------------------------------------------------- ??? [105] 100.0% [117] 236956(46.7%) 10712(2.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [143] 36.3% ??? [154] 25.1% ...higher-order.rkt:373:33 [131] 22.0% bffma [133] 8.8% ...ow-val-first.rkt:357:18 [144] 3.0% ??? [169] 0.1% -------------------------------------------------------------------------------- ??? 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[112] 37.8% merge-egraph-nodes! [87] 43.5% [121] 1058(0.2%) 616(0.1%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [138] 41.8% -------------------------------------------------------------------------------- for-loop [109] 100.0% [122] 710(0.1%) 240(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [139] 33.8% custom-in-set [137] 32.4% -------------------------------------------------------------------------------- loop! [107] 100.0% [123] 478(0.1%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [140] 50.2% for-loop [141] 49.8% -------------------------------------------------------------------------------- loop! [107] 100.0% [124] 240(0.0%) 240(0.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------------- for-loop [114] 100.0% [125] 236(0.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [142] 100.0% -------------------------------------------------------------------------------- loop! [107] 100.0% [126] 218(0.0%) 218(0.0%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------------- ??? [110] 100.0% [127] 218(0.0%) 218(0.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------------- go [113] 6.7% loop [128] 93.3% [128] 216(0.0%) 216(0.0%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [128] 93.3% -------------------------------------------------------------------------------- foldl [111] 100.0% [129] 200(0.0%) 200(0.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------------- ??? 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[117] 99.1% [133] 21156(4.2%) 636(0.1%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [143] 58.4% ...ow-val-first.rkt:357:18 [144] 38.6% -------------------------------------------------------------------------------- simplify [119] 12.0% parse-loop12 [132] 13.3% map [47] 74.7% [134] 14876(2.9%) 438(0.1%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f94 [156] 45.1% append-map [48] 30.7% combine-aterms [147] 21.2% -------------------------------------------------------------------------------- completely-simplify-alt [6] 4.5% taylor [9] 17.8% simplify [119] 77.7% [135] 4790(0.9%) 1334(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [146] 72.2% -------------------------------------------------------------------------------- taylor [9] 44.4% simplify [119] 55.6% [136] 2032(0.4%) 930(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [148] 31.8% ??? [52] 22.4% -------------------------------------------------------------------------------- setfindf [122] 35.5% match-e [77] 64.5% [137] 648(0.1%) 648(0.1%) custom-in-set ...acket/private/set-types.rkt:578:0 -------------------------------------------------------------------------------- make-sequence [121] 100.0% [138] 442(0.1%) 442(0.1%) ??? ...acket/collects/racket/private/for.rkt:428:7 -------------------------------------------------------------------------------- setfindf [122] 100.0% [139] 240(0.0%) 240(0.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------------- custom-set-union [123] 100.0% [140] 240(0.0%) 240(0.0%) for-loop ...cts/racket/private/set-types.rkt:152:2 -------------------------------------------------------------------------------- custom-set-union [123] 100.0% [141] 238(0.0%) 238(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 -------------------------------------------------------------------------------- for-loop [125] 100.0% [142] 236(0.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [153] 100.0% -------------------------------------------------------------------------------- bffma [133] 12.5% ??? [117] 87.5% [143] 98478(19.4%) 640(0.1%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [154] 99.4% -------------------------------------------------------------------------------- ??? [117] 46.9% bffma [133] 53.1% [144] 15382(3.0%) 276(0.1%) ...ow-val-first.rkt:357:18 (unknown source) ??? [155] 98.2% -------------------------------------------------------------------------------- parse-loop12 [132] 100.0% [145] 5810(1.1%) 212(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f94 [156] 51.8% make-multiplication-node [157] 44.6% -------------------------------------------------------------------------------- debug-print [135] 100.0% [146] 3456(0.7%) 3456(0.7%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------------- simplify-node [134] 100.0% [147] 3160(0.6%) 418(0.1%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [159] 86.8% -------------------------------------------------------------------------------- debug7 [136] 100.0% [148] 646(0.1%) 428(0.1%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [161] 33.7% -------------------------------------------------------------------------------- parse-loop12 [132] 30.7% map [47] 69.3% [149] 646(0.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [160] 100.0% -------------------------------------------------------------------------------- parse-loop12 [132] 32.6% map [47] 67.4% [150] 644(0.1%) 434(0.1%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 constant? [186] 32.6% -------------------------------------------------------------------------------- parse-loop12 [132] 25.1% map [47] 74.9% [151] 438(0.1%) 0(0.0%) make-addition-node ...ie/src/core/reduce.rkt:199:0 partition [185] 74.9% parse-loop12 [132] 25.1% -------------------------------------------------------------------------------- map [47] 1.2% parse-loop12 [132] 1.4% loop [152] 97.3% [152] 392(0.1%) 172(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [152] 97.3% ->flonum [158] 1.4% -------------------------------------------------------------------------------- hash-update! [142] 100.0% [153] 236(0.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [162] 100.0% -------------------------------------------------------------------------------- loop [93] 0.4% ??? [117] 37.7% bf* [143] 61.9% [154] 158100(31.2%) 14436(2.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [163] 67.4% ??? [172] 23.4% -------------------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [144] 27.4% ...higher-order.rkt:373:33 [131] 72.6% [155] 55154(10.9%) 2802(0.6%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [164] 94.9% -------------------------------------------------------------------------------- loop [93] 0.3% for-loop [145] 0.7% approximate9 [84] 1.0% ??? [60] 1.5% simplify-node [134] 2.1% composed [166] 3.9% hash-ref! [165] 4.4% for-loop [95] 5.0% f94 [156] 5.2% parse-loop12 [132] 7.3% append-map [48] 11.4% simplify [119] 17.8% map [47] 39.4% [156] 47526(9.4%) 4086(0.8%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [47] 56.9% append-map [48] 15.1% loop [93] 7.6% composed [166] 6.0% f94 [156] 5.2% combine-mterms [8] 1.5% parse-loop12 [132] 1.4% taylor-invert [11] 1.2% gather-multiplicative-terms [168] 1.2% taylor [9] 0.4% taylor-quotient [12] 0.3% compose [182] 0.2% -------------------------------------------------------------------------------- simplify [119] 2.1% parse-loop12 [132] 19.4% for-loop [145] 26.9% map [47] 51.7% [157] 9646(1.9%) 200(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [167] 97.9% -------------------------------------------------------------------------------- loop [152] 4.8% map [47] 34.3% loop [93] 61.0% [158] 4612(0.9%) 1556(0.3%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [172] 30.8% ??? [169] 30.3% ??? [171] 5.2% -------------------------------------------------------------------------------- combine-aterms [147] 100.0% [159] 2742(0.5%) 396(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [165] 85.6% -------------------------------------------------------------------------------- ??? [149] 100.0% [160] 646(0.1%) 232(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [170] 64.1% -------------------------------------------------------------------------------- one-iter [49] 28.7% return/no-unsupplied [148] 34.0% match-e [77] 37.4% [161] 642(0.1%) 642(0.1%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------------- ??? [153] 100.0% [162] 236(0.0%) 236(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 -------------------------------------------------------------------------------- ??? [154] 100.0% [163] 106622(21.0%) 63078(12.4%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [173] 40.8% -------------------------------------------------------------------------------- ??? [105] 6.1% ...higher-order.rkt:373:33 [131] 12.0% loop [93] 22.2% ??? [155] 59.8% [164] 87572(17.3%) 1454(0.3%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [172] 98.3% -------------------------------------------------------------------------------- for-loop [33] 0.0% taylor-sqrt [108] 0.1% eval-prog [98] 0.2% for-loop [159] 0.2% loop [93] 0.4% loop [106] 0.4% first-nonzero-exp [120] 0.4% for-loop [20] 0.6% compile [88] 0.7% for-loop [21] 0.9% for-loop [18] 1.9% ??? [60] 2.2% localize-error [41] 2.3% for-loop [19] 3.4% ??? [175] 4.1% loop [94] 12.7% ??? [30] 14.4% ??? [174] 53.5% [165] 57744(11.4%) 13060(2.6%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [174] 53.5% ??? [3] 16.9% ??? [175] 5.0% parse-loop12 [132] 4.5% simplify [119] 4.2% ??? [5] 3.5% f94 [156] 2.0% taylor [9] 0.9% ??? [7] 0.7% taylor-quotient [12] 0.2% taylor-sqrt [108] 0.1% ??? [13] 0.0% -------------------------------------------------------------------------------- argmins [45] 1.7% loop [91] 4.6% f94 [156] 93.7% [166] 14082(2.8%) 808(0.2%) composed ...ollects/racket/private/list.rkt:321:16 f94 [156] 78.6% loop [179] 7.8% errors [86] 6.3% free-variables [177] 1.5% -------------------------------------------------------------------------------- make-multiplication-node [157] 100.0% [167] 9446(1.9%) 612(0.1%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [176] 61.3% for-loop [178] 27.2% compose [182] 5.1% -------------------------------------------------------------------------------- map [47] 24.7% f94 [156] 75.3% [168] 3972(0.8%) 2900(0.6%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [47] 36.1% compose [182] 11.6% -------------------------------------------------------------------------------- ??? [117] 7.0% ormap [75] 7.1% sample-default [64] 35.7% ->flonum [158] 50.2% [169] 2782(0.5%) 2782(0.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------------- for-loop [160] 100.0% [170] 414(0.1%) 414(0.1%) pattern-match .../herbie/src/core/matcher.rkt:47:0 -------------------------------------------------------------------------------- ->flonum [158] 100.0% [171] 240(0.0%) 240(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 -------------------------------------------------------------------------------- ->flonum [158] 1.1% ??? [154] 29.7% ??? [164] 69.1% [172] 124580(24.6%) 60862(12.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [180] 48.0% ??? [181] 3.1% -------------------------------------------------------------------------------- real->bigfloat [118] 33.0% bfmul [163] 67.0% [173] 64982(12.8%) 64982(12.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------------- hash-ref! [165] 100.0% [174] 51984(10.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [165] 100.0% -------------------------------------------------------------------------------- hash-ref! [165] 100.0% [175] 35080(6.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [165] 89.5% ??? [30] 7.6% simplify [119] 2.9% -------------------------------------------------------------------------------- make-multiplication-subnode [167] 100.0% [176] 5786(1.1%) 4002(0.8%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [184] 15.8% sort [183] 15.1% -------------------------------------------------------------------------------- composed [166] 6.0% append-map [48] 94.0% [177] 3644(0.7%) 2986(0.6%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [186] 11.5% variable? [187] 6.6% -------------------------------------------------------------------------------- make-multiplication-subnode [167] 100.0% [178] 2570(0.5%) 1078(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 partition [185] 17.6% make-multiplication-subsubsubnode [188] 16.3% parse-loop12 [132] 15.6% compose [182] 8.6% -------------------------------------------------------------------------------- composed [166] 18.6% append-map [48] 18.6% loop [179] 62.8% [179] 2540(0.5%) 2540(0.5%) loop ...are/racket/collects/racket/list.rkt:414:34 loop [179] 62.8% -------------------------------------------------------------------------------- ??? [172] 100.0% [180] 59806(11.8%) 29360(5.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [189] 50.9% -------------------------------------------------------------------------------- ??? [172] 100.0% [181] 3912(0.8%) 2868(0.6%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [190] 26.7% -------------------------------------------------------------------------------- f94 [156] 14.6% for-loop [178] 16.3% gather-multiplicative-terms [168] 33.9% make-multiplication-subnode [167] 35.2% [182] 1358(0.3%) 1358(0.3%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------------- localize-error [41] 35.3% group-by68 [176] 64.7% [183] 1348(0.3%) 872(0.2%) sort ...ket/collects/racket/private/sort.rkt:213:0 jloop [191] 35.3% -------------------------------------------------------------------------------- group-by68 [176] 100.0% [184] 912(0.2%) 912(0.2%) hash-update ...cket/private/more-scheme.rkt:356:13 -------------------------------------------------------------------------------- make-addition-node [151] 49.2% for-loop [178] 50.8% [185] 890(0.2%) 890(0.2%) partition ...racket/collects/racket/list.rkt:547:0 -------------------------------------------------------------------------------- match-e [77] 24.0% simplify* [150] 25.4% free-variables [177] 50.6% [186] 826(0.2%) 826(0.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------------- match-e [77] 47.6% free-variables [177] 52.4% [187] 458(0.1%) 458(0.1%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 -------------------------------------------------------------------------------- for-loop [178] 100.0% [188] 418(0.1%) 418(0.1%) make-multiplication-subsubsubnode ...uce.rkt:253:0 -------------------------------------------------------------------------------- ??? [180] 100.0% [189] 30446(6.0%) 30446(6.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------------- ??? [181] 100.0% [190] 1044(0.2%) 1044(0.2%) ??? ...lects/racket/contract/private/orc.rkt:73:14 -------------------------------------------------------------------------------- sort [183] 100.0% [191] 476(0.1%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 errors-score [192] 100.0% -------------------------------------------------------------------------------- jloop [191] 100.0% [192] 476(0.1%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [193] 53.8% loop [93] 46.2% -------------------------------------------------------------------------------- errors-score [192] 100.0% [193] 256(0.1%) 256(0.1%) loop ...hare/racket/collects/racket/list.rkt:551:2 --------------------------------------------------------------------------------