Profiling results ----------------- Total cpu time observed: 264320ms (out of 265528ms) Number of samples taken: 891 (once every 297ms) (Hiding functions with self<1.0% and local<2.0%: 14 of 316 hidden) ================================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================== ??? [88] 100.0% [1] 264320(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [16] 100.0% ---------------------------------------------------------------------------------- ??? [88] 100.0% [2] 184364(69.8%) 0(0.0%) run-improve40 ...ie/develop/src/mainloop.rkt:340:0 for-loop [17] 97.4% simplify! [39] 2.1% prepare-points-intervals [19] 0.5% ---------------------------------------------------------------------------------- ??? [211] 100.0% [3] 64524(24.4%) 250(0.1%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [18] 88.3% for-loop [24] 10.3% taylor [177] 1.0% ---------------------------------------------------------------------------------- hash-ref! [224] 100.0% [4] 56614(21.4%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:68:15 hash-ref! [224] 72.5% ??? [211] 27.5% ---------------------------------------------------------------------------------- hash-ref! [224] 100.0% [5] 32852(12.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:301:23 for-loop [20] 99.3% ---------------------------------------------------------------------------------- hash-ref! [224] 100.0% [6] 17584(6.7%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:291:26 for-loop [22] 100.0% ---------------------------------------------------------------------------------- stx-list? [277] 1.5% stx-pair? [283] 2.0% identifier? [282] 2.0% ??? [275] 2.2% loop [285] 30.4% for-loop [298] 61.9% [7] 16872(6.4%) 376(0.1%) syntax-e (unknown source) syntax-e/no-taint [21] 97.8% ---------------------------------------------------------------------------------- hash-ref! [224] 100.0% [8] 16654(6.3%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:344:33 hash-ref! [224] 100.0% ---------------------------------------------------------------------------------- map [160] 9.1% taylor [177] 90.9% [9] 13296(5.0%) 0(0.0%) taylor-quotient ...velop/src/core/taylor.rkt:334:0 first-nonzero-exp [23] 90.5% simplify [30] 9.5% ---------------------------------------------------------------------------------- loop [285] 19.9% for-loop [298] 80.1% [10] 3550(1.3%) 640(0.2%) expand-identifier (unknown source) resolve+shift28 [289] 82.0% ---------------------------------------------------------------------------------- for-loop [298] 100.0% [11] 3034(1.1%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [289] 81.6% binding-lookup50 [293] 18.4% ---------------------------------------------------------------------------------- map [160] 100.0% [12] 2794(1.1%) 324(0.1%) ??? ...ies/herbie/develop/src/core/reduce.rkt:59:5 for-loop [26] 88.4% ---------------------------------------------------------------------------------- matcher [85] 100.0% [13] 2060(0.8%) 0(0.0%) ??? .../herbie/develop/src/core/matcher.rkt:175:11 for-loop [27] 100.0% ---------------------------------------------------------------------------------- parse-loop15 [239] 100.0% [14] 1810(0.7%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:97:13 make-multiplication-node [25] 60.8% simplify-node [182] 39.2% ---------------------------------------------------------------------------------- hash-ref! [224] 100.0% [15] 902(0.3%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:407:23 for-loop [28] 50.8% for-loop [34] 49.2% ---------------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [16] 264320(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [88] 100.0% ---------------------------------------------------------------------------------- run-improve40 [2] 100.0% [17] 179656(68.0%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:355:4 run-iter! [29] 100.0% ---------------------------------------------------------------------------------- approximate9 [3] 100.0% [18] 56992(21.6%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 hash-ref! [224] 99.3% ??? [211] 0.7% ---------------------------------------------------------------------------------- without-timeline [171] 1.2% run-improve40 [2] 1.6% ??? [88] 97.2% [19] 53534(20.3%) 0(0.0%) prepare-points-intervals ...p/src/points.rkt:122:0 loop [31] 100.0% ---------------------------------------------------------------------------------- ??? [5] 100.0% [20] 32632(12.3%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:304:27 hash-ref! [224] 100.0% ---------------------------------------------------------------------------------- gf [286] 2.9% expand-id-application-form17 [287] 12.7% syntax-e [7] 84.4% [21] 19536(7.4%) 0(0.0%) syntax-e/no-taint (unknown source) loop [285] 100.0% ---------------------------------------------------------------------------------- ??? [6] 100.0% [22] 17584(6.7%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:291:52 hash-ref! [224] 60.0% ??? [32] 35.2% simplify [30] 4.8% ---------------------------------------------------------------------------------- taylor-sqrt [195] 10.6% taylor-quotient [9] 89.4% [23] 13452(5.1%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:266:0 hash-ref! [224] 100.0% ---------------------------------------------------------------------------------- approximate9 [3] 100.0% [24] 6646(2.5%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:30:18 taylor [177] 100.0% ---------------------------------------------------------------------------------- simplify [30] 9.4% parse-loop15 [239] 9.8% for-loop [14] 18.7% map [160] 62.1% [25] 5868(2.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:234:0 make-multiplication-subnode [33] 100.0% ---------------------------------------------------------------------------------- ??? [12] 100.0% [26] 2470(0.9%) 1496(0.6%) for-loop ...erbie/develop/src/core/reduce.rkt:60:7 pattern-match [35] 27.7% foldl [36] 11.7% ---------------------------------------------------------------------------------- ??? [13] 100.0% [27] 2060(0.8%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:179:21 matcher [85] 100.0% ---------------------------------------------------------------------------------- ??? [15] 100.0% [28] 458(0.2%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:411:33 for-loop [34] 100.0% ---------------------------------------------------------------------------------- for-loop [17] 100.0% [29] 179656(68.0%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:321:0 gen-series! [37] 35.9% finalize-iter! [38] 34.8% simplify! [39] 26.6% gen-rewrites! [42] 1.1% choose-best-alt! [43] 0.9% localize! [46] 0.6% ---------------------------------------------------------------------------------- for-loop [22] 1.4% taylor-quotient [9] 2.1% loop [152] 2.1% taylor-sqrt [195] 11.8% hash-ref! [224] 82.6% [30] 61442(23.2%) 210(0.1%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f9 [108] 68.5% parse-loop15 [239] 20.5% debug-print [196] 6.1% debug5 [202] 1.9% simplify* [254] 1.7% make-multiplication-node [25] 0.9% ---------------------------------------------------------------------------------- prepare-points-intervals [19] 100.0% [31] 53534(20.3%) 608(0.2%) loop ...htlies/herbie/develop/src/points.rkt:138:4 loop [40] 79.5% loop [152] 11.3% ??? [211] 4.1% loop [45] 2.7% ??? [162] 0.6% ---------------------------------------------------------------------------------- ??? [238] 5.4% for-loop [22] 94.6% [32] 10372(3.9%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:294:19 hash-ref! [224] 100.0% ---------------------------------------------------------------------------------- make-multiplication-node [25] 100.0% [33] 5868(2.2%) 208(0.1%) make-multiplication-subnode ...re/reduce.rkt:244:0 for-loop [41] 70.7% group-by61 [44] 25.8% ---------------------------------------------------------------------------------- ??? [15] 49.2% for-loop [28] 50.8% [34] 902(0.3%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:413:39 hash-ref! [224] 100.0% ---------------------------------------------------------------------------------- for-loop [47] 18.6% for-loop [26] 81.4% [35] 684(0.3%) 430(0.2%) pattern-match ...develop/src/core/matcher.rkt:46:0 for-loop [47] 18.6% ??? [79] 18.6% ---------------------------------------------------------------------------------- for-loop [26] 100.0% [36] 290(0.1%) 290(0.1%) foldl ....0/collects/racket/private/list.rkt:229:4 ---------------------------------------------------------------------------------- run-iter! [29] 100.0% [37] 64524(24.4%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:153:0 for-loop [48] 100.0% ---------------------------------------------------------------------------------- run-iter! [29] 100.0% [38] 62550(23.7%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:272:0 ??? [79] 100.0% ---------------------------------------------------------------------------------- run-improve40 [2] 7.4% run-iter! [29] 92.6% [39] 51634(19.5%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:217:0 ??? [49] 98.0% for-loop [53] 1.0% ---------------------------------------------------------------------------------- loop [31] 100.0% [40] 42574(16.1%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:103:2 ??? [141] 98.5% ??? [211] 1.5% ---------------------------------------------------------------------------------- make-multiplication-subnode [33] 100.0% [41] 4148(1.6%) 608(0.2%) for-loop ...rbie/develop/src/core/reduce.rkt:246:3 parse-loop15 [239] 29.0% mterm->expr [59] 21.9% make-multiplication-subsubsubnode [51] 20.8% partition [206] 8.6% compose [130] 5.0% ---------------------------------------------------------------------------------- run-iter! [29] 100.0% [42] 2060(0.8%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:176:0 for-loop [50] 100.0% ---------------------------------------------------------------------------------- run-iter! [29] 100.0% [43] 1594(0.6%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:111:0 ??? [79] 100.0% ---------------------------------------------------------------------------------- make-multiplication-subnode [33] 100.0% [44] 1512(0.6%) 912(0.3%) group-by61 ...t-7.0/collects/racket/list.rkt:771:0 hash-update [54] 21.6% for-loop [55] 18.1% ---------------------------------------------------------------------------------- loop [31] 100.0% [45] 1464(0.6%) 1464(0.6%) loop ...7.0/collects/racket/private/map.rkt:110:23 ---------------------------------------------------------------------------------- run-iter! [29] 100.0% [46] 1126(0.4%) 0(0.0%) localize! ...herbie/develop/src/mainloop.rkt:120:0 localize-error [52] 100.0% ---------------------------------------------------------------------------------- pattern-match [35] 100.0% [47] 254(0.1%) 0(0.0%) for-loop ...rbie/develop/src/core/matcher.rkt:64:9 pattern-match [35] 100.0% ---------------------------------------------------------------------------------- gen-series! [37] 100.0% [48] 64524(24.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:160:7 taylor-alt [56] 100.0% ---------------------------------------------------------------------------------- simplify! [39] 100.0% [49] 50580(19.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:29:0 loop [57] 56.4% loop [58] 43.3% for-loop [62] 0.3% ---------------------------------------------------------------------------------- gen-rewrites! [42] 100.0% [50] 2060(0.8%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:184:11 rewrite-expression-head20 [60] 100.0% ---------------------------------------------------------------------------------- for-loop [41] 49.1% parse-loop15 [239] 50.9% [51] 1754(0.7%) 252(0.1%) make-multiplication-subsubsubnode ...uce.rkt:266:0 mterm->expr [59] 85.6% ---------------------------------------------------------------------------------- localize! [46] 100.0% [52] 1126(0.4%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:52:0 hash-ref! [224] 71.0% ??? [155] 29.0% ---------------------------------------------------------------------------------- simplify! [39] 100.0% [53] 500(0.2%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:256:6 for-loop [61] 100.0% ---------------------------------------------------------------------------------- group-by61 [44] 100.0% [54] 326(0.1%) 326(0.1%) hash-update ...acket/private/more-scheme.rkt:358:4 ---------------------------------------------------------------------------------- group-by61 [44] 100.0% [55] 274(0.1%) 274(0.1%) for-loop ...ket-7.0/collects/racket/list.rkt:805:4 ---------------------------------------------------------------------------------- for-loop [48] 100.0% [56] 64524(24.4%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:139:0 for-loop [63] 100.0% ---------------------------------------------------------------------------------- ??? [49] 100.0% [57] 28538(10.8%) 0(0.0%) loop .../herbie/develop/src/core/simplify.rkt:44:2 one-iter [64] 89.2% loop [66] 10.8% ---------------------------------------------------------------------------------- ??? [49] 100.0% [58] 21878(8.3%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:132:2 for-loop [65] 100.0% ---------------------------------------------------------------------------------- parse-loop15 [239] 11.5% for-loop [41] 33.4% make-multiplication-subsubsubnode [51] 55.1% [59] 2724(1.0%) 744(0.3%) mterm->expr ...e/develop/src/core/reduce.rkt:274:0 type-of [68] 32.7% free-variables [232] 16.2% return/no-unsupplied [269] 12.3% f9 [108] 11.5% ---------------------------------------------------------------------------------- for-loop [50] 100.0% [60] 2060(0.8%) 0(0.0%) rewrite-expression-head20 ...ore/matcher.rkt:126:0 rewriter [67] 100.0% ---------------------------------------------------------------------------------- for-loop [53] 100.0% [61] 500(0.2%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:257:8 for-loop [125] 57.6% expression-cost [81] 42.4% ---------------------------------------------------------------------------------- ??? [49] 100.0% [62] 164(0.1%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:34:14 mk-enode-rec! [69] 100.0% ---------------------------------------------------------------------------------- taylor-alt [56] 100.0% [63] 64524(24.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:145:6 ??? [211] 100.0% ---------------------------------------------------------------------------------- loop [57] 100.0% [64] 25470(9.6%) 0(0.0%) one-iter ...ie/develop/src/core/simplify.rkt:100:0 for-loop [70] 71.6% find-matches [72] 27.3% update-leader! [112] 1.0% ---------------------------------------------------------------------------------- loop [58] 100.0% [65] 21878(8.3%) 620(0.2%) for-loop ...ie/develop/src/core/simplify.rkt:138:4 loop [71] 31.5% argmin [73] 30.5% for-loop [74] 16.6% expression-cost [81] 9.0% for-loop [125] 8.2% ---------------------------------------------------------------------------------- loop [57] 100.0% [66] 3068(1.2%) 336(0.1%) loop ...-7.0/collects/racket/private/map.rkt:74:19 set-precompute! [76] 71.4% update-leader! [112] 17.7% ---------------------------------------------------------------------------------- rewrite-expression-head20 [60] 29.8% matcher [85] 70.2% [67] 2060(0.8%) 560(0.2%) rewriter ...bie/develop/src/core/matcher.rkt:128:2 for-loop [77] 82.6% *rules* [78] 8.4% ---------------------------------------------------------------------------------- mterm->expr [59] 100.0% [68] 892(0.3%) 0(0.0%) type-of .../herbie/develop/src/type-check.rkt:34:0 variable? [75] 100.0% ---------------------------------------------------------------------------------- for-loop [62] 100.0% [69] 164(0.1%) 164(0.1%) mk-enode-rec! ...develop/src/core/egraph.rkt:119:0 ---------------------------------------------------------------------------------- one-iter [64] 100.0% [70] 18248(6.9%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:101:2 apply-match [80] 100.0% ---------------------------------------------------------------------------------- baseline-error [107] 4.2% for-loop [65] 95.8% [71] 7184(2.7%) 298(0.1%) loop .../racket-7.0/collects/racket/list.rkt:751:4 expression-cost [81] 65.7% for-loop [125] 26.0% ??? [87] 4.2% ---------------------------------------------------------------------------------- one-iter [64] 100.0% [72] 6958(2.6%) 0(0.0%) find-matches ...develop/src/core/simplify.rkt:64:0 for-loop [82] 100.0% ---------------------------------------------------------------------------------- for-loop [65] 100.0% [73] 6666(2.5%) 302(0.1%) argmin ...acket-7.0/collects/racket/list.rkt:765:0 expression-cost [81] 68.6% for-loop [125] 26.9% ---------------------------------------------------------------------------------- for-loop [65] 100.0% [74] 3638(1.4%) 1442(0.5%) for-loop ...e/develop/src/core/simplify.rkt:142:16 for-loop [83] 60.4% ---------------------------------------------------------------------------------- match-e [92] 25.4% type-of [68] 36.3% free-variables [232] 38.3% [75] 2458(0.9%) 0(0.0%) variable? .../develop/src/syntax/syntax.rkt:1159:0 ??? [79] 100.0% ---------------------------------------------------------------------------------- loop [66] 100.0% [76] 2190(0.8%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:105:0 for-loop [84] 100.0% ---------------------------------------------------------------------------------- rewriter [67] 100.0% [77] 2060(0.8%) 920(0.3%) for-loop ...ie/develop/src/core/matcher.rkt:131:10 matcher [85] 87.6% ---------------------------------------------------------------------------------- rewriter [67] 100.0% [78] 580(0.2%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:776:0 for-loop [86] 100.0% ---------------------------------------------------------------------------------- pattern-match [35] 0.4% match-e [92] 1.0% free-variables [232] 2.0% choose-best-alt! [43] 2.3% variable? [75] 3.6% finalize-iter! [38] 90.8% [79] 68888(26.1%) 4744(1.8%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [89] 90.8% ??? [93] 2.3% ---------------------------------------------------------------------------------- for-loop [70] 100.0% [80] 18248(6.9%) 0(0.0%) apply-match .../develop/src/core/simplify.rkt:73:0 for-loop [90] 76.0% match-e [92] 15.6% update-leader! [112] 3.4% set [189] 3.2% custom-set-intersect [95] 1.8% ---------------------------------------------------------------------------------- for-loop [61] 1.8% for-loop [65] 17.2% argmin [73] 39.8% loop [71] 41.1% [81] 11480(4.3%) 0(0.0%) expression-cost .../develop/src/programs.rkt:204:0 compile [91] 100.0% ---------------------------------------------------------------------------------- for-loop [82] 48.5% find-matches [72] 51.5% [82] 6958(2.6%) 2012(0.8%) for-loop ...bie/develop/src/core/simplify.rkt:66:8 for-loop [82] 48.5% match-e [92] 34.4% ---------------------------------------------------------------------------------- for-loop [74] 100.0% [83] 2196(0.8%) 2196(0.8%) for-loop ...e/develop/src/core/simplify.rkt:146:23 ---------------------------------------------------------------------------------- set-precompute! [76] 100.0% [84] 2190(0.8%) 664(0.3%) for-loop ...ie/develop/src/core/simplify.rkt:108:2 ??? [88] 58.6% setfindf [97] 11.1% ---------------------------------------------------------------------------------- for-loop [27] 50.0% for-loop [77] 50.0% [85] 2060(0.8%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:163:2 ??? [13] 50.0% rewriter [67] 50.0% ---------------------------------------------------------------------------------- *rules* [78] 100.0% [86] 580(0.2%) 332(0.1%) for-loop ...ies/herbie/develop/src/common.rkt:71:9 ormap [96] 42.8% ---------------------------------------------------------------------------------- loop [71] 100.0% [87] 300(0.1%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:212:27 eval-errors [94] 100.0% ---------------------------------------------------------------------------------- for-loop [84] 0.2% run [16] 49.9% [88] 264320(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.9% run-improve40 [2] 34.8% prepare-points-intervals [19] 9.8% oracle-error [99] 2.7% get-final-combination [101] 2.1% loop [152] 0.1% merge-egraph-nodes! [100] 0.1% eval-errors [94] 0.1% errors [122] 0.1% baseline-error [107] 0.1% eval-const-expr [252] 0.0% ---------------------------------------------------------------------------------- ??? [79] 100.0% [89] 62550(23.7%) 418(0.2%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [98] 95.2% loop [103] 4.1% ---------------------------------------------------------------------------------- apply-match [80] 100.0% [90] 13864(5.2%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:87:2 merge-egraph-nodes! [100] 79.2% loop! [166] 13.2% mk-enode! [126] 3.9% substitute-e [105] 3.7% ---------------------------------------------------------------------------------- expression-cost [81] 100.0% [91] 11480(4.3%) 512(0.2%) compile ...s/herbie/develop/src/programs.rkt:181:0 hash-ref! [224] 95.5% ---------------------------------------------------------------------------------- apply-match [80] 21.1% for-loop [114] 27.5% for-loop [82] 51.4% [92] 7630(2.9%) 1334(0.5%) match-e ...herbie/develop/src/core/ematch.rkt:39:0 for-loop [102] 79.1% ??? [79] 2.9% variable? [75] 2.7% ---------------------------------------------------------------------------------- ??? [79] 100.0% [93] 1594(0.6%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:54:0 ??? [211] 100.0% ---------------------------------------------------------------------------------- ??? [87] 32.3% ??? [88] 67.7% [94] 928(0.4%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:198:0 for-loop [104] 100.0% ---------------------------------------------------------------------------------- apply-match [80] 100.0% [95] 326(0.1%) 0(0.0%) custom-set-intersect ...rivate/set-types.rkt:195:0 for-loop [106] 100.0% ---------------------------------------------------------------------------------- for-loop [86] 100.0% [96] 248(0.1%) 248(0.1%) ormap ....0/collects/racket/private/map.rkt:141:13 ---------------------------------------------------------------------------------- for-loop [84] 100.0% [97] 242(0.1%) 242(0.1%) setfindf ...es/herbie/develop/src/common.rkt:139:0 ---------------------------------------------------------------------------------- for-loop [89] 100.0% [98] 59556(22.5%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:200:0 override-at-pnts [109] 55.4% best-and-tied-at-points [110] 44.6% ---------------------------------------------------------------------------------- ??? [88] 100.0% [99] 14406(5.5%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:207:0 for-loop [111] 100.0% ---------------------------------------------------------------------------------- merge-egraph-nodes! [100] 6.5% for-loop [115] 6.9% ??? [88] 7.2% for-loop [90] 79.4% [100] 11942(4.5%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:144:0 update-leader! [112] 79.3% loop! [166] 7.3% for-loop [115] 6.9% merge-egraph-nodes! [100] 6.5% ---------------------------------------------------------------------------------- ??? [88] 100.0% [101] 11320(4.3%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:361:0 infer-splitpoints [113] 91.7% f9 [108] 8.3% ---------------------------------------------------------------------------------- match-e [92] 100.0% [102] 6630(2.5%) 3910(1.5%) for-loop ...rbie/develop/src/core/ematch.rkt:52:11 for-loop [114] 42.5% foldr [120] 2.2% loop [121] 2.1% curried [207] 2.1% ---------------------------------------------------------------------------------- for-loop [89] 100.0% [103] 2576(1.0%) 928(0.4%) loop ...erbie/develop/src/core/alt-table.rkt:174:2 loop [117] 17.5% loop [118] 17.5% map [160] 16.3% argmax [119] 12.7% ---------------------------------------------------------------------------------- eval-errors [94] 100.0% [104] 928(0.4%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:200:2 ??? [141] 35.6% ??? [211] 32.3% ulp-difference [198] 32.1% ---------------------------------------------------------------------------------- for-loop [90] 100.0% [105] 508(0.2%) 0(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:64:0 for-loop [116] 100.0% ---------------------------------------------------------------------------------- custom-set-intersect [95] 100.0% [106] 326(0.1%) 326(0.1%) for-loop ...cts/racket/private/set-types.rkt:207:3 ---------------------------------------------------------------------------------- ??? [88] 100.0% [107] 300(0.1%) 0(0.0%) baseline-error ...bie/develop/src/points.rkt:211:0 loop [71] 100.0% ---------------------------------------------------------------------------------- mterm->expr [59] 0.1% parse-loop15 [239] 0.6% append-map [214] 1.8% hash-ref! [224] 1.8% get-final-combination [101] 2.2% f9 [108] 2.3% map [160] 35.4% simplify [30] 54.5% [108] 43858(16.6%) 3662(1.4%) f9 ....0/collects/racket/match/compiler.rkt:507:40 map [160] 79.8% eval-const-expr [252] 6.2% append-map [214] 3.1% f9 [108] 2.3% sindices->spoints [129] 2.2% loop [127] 0.6% compose [130] 0.3% ---------------------------------------------------------------------------------- atab-add-altn [98] 100.0% [109] 32986(12.5%) 768(0.3%) override-at-pnts ...p/src/core/alt-table.rkt:135:0 errors [122] 96.3% ---------------------------------------------------------------------------------- atab-add-altn [98] 100.0% [110] 26570(10.1%) 326(0.1%) best-and-tied-at-points ...ore/alt-table.rkt:112:0 errors [122] 95.0% for-loop [128] 3.8% ---------------------------------------------------------------------------------- oracle-error [99] 100.0% [111] 14406(5.5%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:208:2 loop [152] 60.8% map [160] 39.2% ---------------------------------------------------------------------------------- one-iter [64] 2.2% loop [66] 4.5% apply-match [80] 5.2% merge-egraph-nodes! [100] 88.1% [112] 11966(4.5%) 636(0.2%) update-leader! ...evelop/src/core/egraph.rkt:212:0 for-loop [123] 89.5% for-loop [131] 2.7% custom-set-union! [132] 2.5% ---------------------------------------------------------------------------------- get-final-combination [101] 100.0% [113] 10376(3.9%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:34:0 for-loop [124] 100.0% ---------------------------------------------------------------------------------- for-loop [102] 100.0% [114] 3766(1.4%) 252(0.1%) for-loop ...rbie/develop/src/core/ematch.rkt:58:37 match-e [92] 96.7% ---------------------------------------------------------------------------------- merge-egraph-nodes! [100] 100.0% [115] 1850(0.7%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:198:4 merge-egraph-nodes! [100] 100.0% ---------------------------------------------------------------------------------- substitute-e [105] 100.0% [116] 508(0.2%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:73:24 mk-enode! [126] 100.0% ---------------------------------------------------------------------------------- loop [103] 100.0% [117] 452(0.2%) 452(0.2%) loop ...-7.0/collects/racket/private/hash.rkt:20:4 ---------------------------------------------------------------------------------- loop [103] 13.4% loop [118] 86.6% [118] 450(0.2%) 450(0.2%) loop ...racket-7.0/collects/racket/list.rkt:434:28 loop [118] 86.6% ---------------------------------------------------------------------------------- loop [103] 100.0% [119] 326(0.1%) 0(0.0%) argmax ...acket-7.0/collects/racket/list.rkt:766:0 for-loop [125] 100.0% ---------------------------------------------------------------------------------- for-loop [102] 100.0% [120] 296(0.1%) 0(0.0%) foldr ....0/collects/racket/private/list.rkt:242:4 cp-2 [133] 100.0% ---------------------------------------------------------------------------------- for-loop [102] 100.0% [121] 284(0.1%) 284(0.1%) loop ...cket-7.0/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------------------- pred [158] 0.5% ??? [88] 0.9% ??? [258] 2.4% for-loop [144] 11.1% best-and-tied-at-points [110] 37.7% override-at-pnts [109] 47.4% [122] 66958(25.3%) 538(0.2%) errors ...lies/herbie/develop/src/points.rkt:223:0 for-loop [135] 50.8% eval-prog [134] 48.4% ---------------------------------------------------------------------------------- update-leader! [112] 100.0% [123] 10712(4.1%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:217:6 for-loop [137] 53.6% hash-update! [143] 46.4% ---------------------------------------------------------------------------------- infer-splitpoints [113] 100.0% [124] 10376(3.9%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:46:6 option-on-expr [136] 100.0% ---------------------------------------------------------------------------------- for-loop [61] 4.7% argmax [119] 5.4% for-loop [65] 29.5% argmin [73] 29.6% loop [71] 30.8% [125] 6064(2.3%) 1134(0.4%) for-loop .../herbie/develop/src/programs.rkt:205:2 table-ref [154] 81.3% ---------------------------------------------------------------------------------- for-loop [116] 48.5% for-loop [90] 51.5% [126] 1048(0.4%) 750(0.3%) mk-enode! ...rbie/develop/src/core/egraph.rkt:99:0 hash-has-key? [139] 28.4% ---------------------------------------------------------------------------------- f9 [108] 100.0% [127] 1046(0.4%) 798(0.3%) loop ...es/herbie/develop/src/core/reduce.rkt:18:2 return/no-unsupplied [269] 23.7% ---------------------------------------------------------------------------------- best-and-tied-at-points [110] 100.0% [128] 1004(0.4%) 1004(0.4%) for-loop .../develop/src/core/alt-table.rkt:114:16 ---------------------------------------------------------------------------------- f9 [108] 100.0% [129] 944(0.4%) 0(0.0%) sindices->spoints ...op/src/core/regimes.rkt:211:0 for-loop [138] 100.0% ---------------------------------------------------------------------------------- for-loop [41] 43.6% f9 [108] 56.4% [130] 472(0.2%) 472(0.2%) compose ...collects/racket/private/list.rkt:385:12 ---------------------------------------------------------------------------------- update-leader! [112] 100.0% [131] 320(0.1%) 320(0.1%) for-loop ...rbie/develop/src/core/egraph.rkt:227:6 ---------------------------------------------------------------------------------- update-leader! [112] 100.0% [132] 298(0.1%) 298(0.1%) custom-set-union! ...t/private/set-types.rkt:245:0 ---------------------------------------------------------------------------------- foldr [120] 100.0% [133] 296(0.1%) 0(0.0%) cp-2 .../racket-7.0/collects/racket/list.rkt:826:2 for-loop [140] 100.0% ---------------------------------------------------------------------------------- loop [152] 1.1% eval-const-expr [252] 45.2% errors [122] 53.7% [134] 60292(22.8%) 630(0.2%) eval-prog ...herbie/develop/src/programs.rkt:130:0 temp68_2 [142] 86.2% loop [285] 4.9% eval [145] 4.0% inductor [147] 2.3% hash-ref! [224] 0.6% ---------------------------------------------------------------------------------- errors [122] 100.0% [135] 34038(12.9%) 2852(1.1%) for-loop ...es/herbie/develop/src/points.rkt:225:2 ??? [141] 73.2% ??? [211] 8.9% ulp-difference [198] 4.9% point-error [186] 3.6% ---------------------------------------------------------------------------------- for-loop [124] 100.0% [136] 10376(3.9%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:146:0 for-loop [144] 71.5% sort-context-on-expr [146] 15.8% err-lsts->split-indices [148] 9.4% loop [152] 3.2% ---------------------------------------------------------------------------------- for-loop [123] 100.0% [137] 5746(2.2%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:218:8 hash-update! [143] 100.0% ---------------------------------------------------------------------------------- sindices->spoints [129] 100.0% [138] 944(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:249:9 without-timeline [171] 35.4% binary-search-floats [149] 33.1% pred [158] 31.6% ---------------------------------------------------------------------------------- mk-enode! [126] 100.0% [139] 298(0.1%) 298(0.1%) hash-has-key? ...ket/private/more-scheme.rkt:371:2 ---------------------------------------------------------------------------------- cp-2 [133] 100.0% [140] 296(0.1%) 296(0.1%) for-loop ...ket-7.0/collects/racket/list.rkt:827:4 ---------------------------------------------------------------------------------- for-loop [104] 0.4% loop [201] 1.6% loop [152] 5.4% ??? [178] 10.5% for-loop [135] 30.6% loop [40] 51.5% [141] 81368(30.8%) 2190(0.8%) ??? ...tlies/herbie/develop/src/programs.rkt:146:2 ??? [151] 63.4% loop [152] 15.5% ??? [211] 15.0% ??? [162] 3.4% ---------------------------------------------------------------------------------- eval-prog [134] 100.0% [142] 51962(19.7%) 328(0.1%) temp68_2 (unknown source) compile16 [150] 99.4% ---------------------------------------------------------------------------------- for-loop [123] 46.4% for-loop [137] 53.6% [143] 10712(4.1%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? 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[159] 4.5% ---------------------------------------------------------------------------------- option-on-expr [136] 100.0% [148] 980(0.4%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:278:0 loop [157] 100.0% ---------------------------------------------------------------------------------- for-loop [138] 100.0% [149] 312(0.1%) 0(0.0%) binary-search-floats ...src/core/regimes.rkt:192:0 pred [158] 100.0% ---------------------------------------------------------------------------------- temp68_2 [142] 100.0% [150] 51634(19.5%) 0(0.0%) compile16 (unknown source) temp74_0 [161] 100.0% ---------------------------------------------------------------------------------- ??? [141] 100.0% [151] 51550(19.5%) 3420(1.3%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [211] 46.6% ??? [162] 28.1% ??? [164] 11.1% double->posit16 [165] 7.6% ---------------------------------------------------------------------------------- option-on-expr [136] 0.0% ??? 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[173] 9.7% ---------------------------------------------------------------------------------- localize-error [52] 16.6% sort-context-on-expr [146] 83.4% [155] 1968(0.7%) 0(0.0%) ??? ...-7.0/collects/racket/private/sort.rkt:369:3 generic-sort/key [168] 83.4% errors-score [175] 16.6% ---------------------------------------------------------------------------------- eval [145] 100.0% [156] 1156(0.4%) 0(0.0%) namespace-syntax-introduce3 (unknown source) free-identifier=? [172] 53.5% for-loop [298] 28.9% add-ns-scopes [170] 17.6% ---------------------------------------------------------------------------------- err-lsts->split-indices [148] 100.0% [157] 980(0.4%) 0(0.0%) loop .../herbie/develop/src/core/regimes.rkt:329:4 for-loop [169] 100.0% ---------------------------------------------------------------------------------- for-loop [138] 48.9% binary-search-floats [149] 51.1% [158] 610(0.2%) 0(0.0%) pred .../herbie/develop/src/core/regimes.rkt:220:4 errors [122] 51.1% without-timeline [171] 48.9% ---------------------------------------------------------------------------------- inductor [147] 100.0% [159] 582(0.2%) 582(0.2%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ---------------------------------------------------------------------------------- loop [152] 0.2% gather-multiplicative-terms [209] 0.3% loop [103] 0.8% for-loop [111] 10.4% taylor [177] 27.3% f9 [108] 61.0% [160] 54578(20.6%) 486(0.2%) map ...t-7.0/collects/racket/private/map.rkt:35:13 f9 [108] 30.3% taylor [177] 25.7% parse-loop15 [239] 18.7% loop [152] 8.4% simplify* [254] 4.4% simplify-node [182] 2.8% make-multiplication-node [25] 2.4% ??? [178] 1.6% taylor-quotient [9] 1.6% hash-ref! [224] 1.2% point-error [186] 1.1% ??? [12] 1.0% gather-multiplicative-terms [209] 0.3% ??? [211] 0.2% ---------------------------------------------------------------------------------- compile16 [150] 100.0% [161] 51634(19.5%) 248(0.1%) temp74_0 (unknown source) expand-single [176] 89.1% compile-top9 [180] 9.5% loop [285] 0.4% ---------------------------------------------------------------------------------- loop [31] 1.6% loop [152] 1.6% ??? [141] 13.7% fold-binary-pred [255] 14.6% ??? [151] 68.5% [162] 20380(7.7%) 4690(1.8%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ival-div [179] 31.1% ival-sub [181] 21.4% ival-sqrt [184] 14.6% mk-ival [185] 12.4% ---------------------------------------------------------------------------------- ??? 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[100] 21.7% loop [152] 36.7% for-loop [90] 41.6% [166] 3234(1.2%) 1070(0.4%) loop! ...s/herbie/develop/src/core/enode.rkt:190:2 loop [152] 36.7% custom-set-union [188] 30.0% set [189] 12.0% update-en-expr [187] 4.8% ---------------------------------------------------------------------------------- table-ref [154] 100.0% [167] 2172(0.8%) 2172(0.8%) for-loop ...ies/herbie/develop/src/common.rkt:44:4 ---------------------------------------------------------------------------------- ??? [155] 100.0% [168] 1642(0.6%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 loop [201] 62.0% copying-mergesort [191] 38.0% ---------------------------------------------------------------------------------- loop [157] 100.0% [169] 980(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:294:4 for-loop [190] 100.0% ---------------------------------------------------------------------------------- namespace-syntax-introduce3 [156] 25.3% eval [145] 74.7% [170] 806(0.3%) 508(0.2%) add-ns-scopes (unknown source) add-scopes [193] 37.0% ---------------------------------------------------------------------------------- pred [158] 47.2% for-loop [138] 52.8% [171] 632(0.2%) 0(0.0%) without-timeline .../develop/src/timeline.rkt:33:0 prepare-points-intervals [19] 100.0% ---------------------------------------------------------------------------------- namespace-syntax-introduce3 [156] 100.0% [172] 618(0.2%) 324(0.1%) free-identifier=? 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[224] 21.4% map [160] 21.8% taylor [177] 40.2% [177] 31634(12.0%) 758(0.3%) taylor ...herbie/develop/src/core/taylor.rkt:170:0 taylor [177] 40.2% map [160] 22.6% taylor-sqrt [195] 19.4% taylor-quotient [9] 13.6% loop [152] 2.0% debug-print [196] 1.0% debug5 [202] 0.5% ---------------------------------------------------------------------------------- map [160] 10.2% loop [152] 89.8% [178] 8816(3.3%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:209:26 ??? [141] 96.6% ??? [211] 3.4% ---------------------------------------------------------------------------------- ??? [162] 100.0% [179] 6672(2.5%) 988(0.4%) ival-div ...rbie/develop/src/biginterval.rkt:131:0 classify-ival [240] 56.9% ??? [253] 28.3% ---------------------------------------------------------------------------------- temp74_0 [161] 100.0% [180] 4922(1.9%) 204(0.1%) compile-top9 (unknown source) compile-forms31 [197] 95.9% ---------------------------------------------------------------------------------- ??? [162] 100.0% [181] 4360(1.6%) 298(0.1%) ival-sub ...erbie/develop/src/biginterval.rkt:83:0 ??? [253] 86.3% ...higher-order.rkt:361:33 [246] 6.8% ---------------------------------------------------------------------------------- for-loop [265] 3.4% for-loop [14] 8.2% parse-loop15 [239] 10.1% map [160] 78.3% [182] 4324(1.6%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:48:0 append-map [214] 45.2% gather-additive-terms6 [204] 22.8% combine-mterms [205] 14.5% combine-aterms [210] 7.5% partition [206] 5.8% gather-multiplicative-terms [209] 4.1% ---------------------------------------------------------------------------------- double->posit16 [165] 100.0% [183] 3930(1.5%) 612(0.2%) get-ffi-obj* ...-7.0/collects/ffi/unsafe.rkt:209:2 get-ffi-lib9 [199] 84.4% ---------------------------------------------------------------------------------- ??? [162] 100.0% [184] 3144(1.2%) 682(0.3%) ival-sqrt ...bie/develop/src/biginterval.rkt:181:0 ??? [253] 67.4% fold-binary-pred [255] 10.9% ---------------------------------------------------------------------------------- ??? [162] 100.0% [185] 2526(1.0%) 332(0.1%) mk-ival ...herbie/develop/src/biginterval.rkt:53:0 bf [200] 74.3% ??? [273] 12.6% ---------------------------------------------------------------------------------- loop [152] 24.6% map [160] 24.6% for-loop [135] 50.8% [186] 2446(0.9%) 0(0.0%) point-error ...herbie/develop/src/points.rkt:190:0 ulp-difference [198] 100.0% ---------------------------------------------------------------------------------- loop! [166] 17.1% for-loop [163] 82.9% [187] 1816(0.7%) 1816(0.7%) update-en-expr ...evelop/src/core/egraph.rkt:206:0 ---------------------------------------------------------------------------------- loop! [166] 100.0% [188] 1306(0.5%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [203] 100.0% ---------------------------------------------------------------------------------- loop! [166] 48.1% apply-match [80] 51.9% [189] 1140(0.4%) 548(0.2%) set ...collects/racket/private/set-types.rkt:981:0 for-loop [208] 51.9% ---------------------------------------------------------------------------------- for-loop [169] 100.0% [190] 980(0.4%) 650(0.2%) for-loop ...bie/develop/src/core/regimes.rkt:298:8 curried [207] 33.7% ---------------------------------------------------------------------------------- copying-mergesort [191] 32.1% generic-sort/key [168] 67.9% [191] 624(0.2%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 loop [201] 67.9% copying-mergesort [191] 32.1% ---------------------------------------------------------------------------------- ??? [174] 41.8% loop [192] 58.2% [192] 420(0.2%) 420(0.2%) loop ...7.0/collects/racket/private/list.rkt:82:16 loop [192] 58.2% ---------------------------------------------------------------------------------- add-ns-scopes [170] 100.0% [193] 298(0.1%) 298(0.1%) add-scopes (unknown source) ---------------------------------------------------------------------------------- loop [285] 6.1% expand-single [176] 93.9% [194] 49000(18.5%) 298(0.1%) expand-capturing-lifts (unknown source) lambda-clause-expander [212] 87.7% dispatch-transformer41 [213] 8.9% expand-id-application-form17 [287] 2.1% loop [285] 0.7% ---------------------------------------------------------------------------------- taylor [177] 100.0% [195] 14740(5.6%) 0(0.0%) taylor-sqrt ...e/develop/src/core/taylor.rkt:352:0 simplify [30] 49.4% hash-ref! [224] 41.0% first-nonzero-exp [23] 9.6% ---------------------------------------------------------------------------------- taylor [177] 26.6% simplify [30] 73.4% [196] 5134(1.9%) 1374(0.5%) debug-print .../herbie/develop/src/debug.rkt:110:0 for-loop [215] 54.5% ??? [217] 13.4% make-keyword-procedure [221] 5.3% ---------------------------------------------------------------------------------- compile-top9 [180] 100.0% [197] 4718(1.8%) 390(0.1%) compile-forms31 (unknown source) for-loop [298] 81.8% loop! [222] 5.0% serialize-phase-to-link-module-uses [223] 4.9% ---------------------------------------------------------------------------------- for-loop [104] 6.7% for-loop [135] 38.0% point-error [186] 55.3% [198] 4426(1.7%) 3674(1.4%) ulp-difference ...erbie/develop/src/float.rkt:14:0 return/no-unsupplied [269] 11.4% ??? [270] 5.6% ---------------------------------------------------------------------------------- get-ffi-obj* [183] 100.0% [199] 3318(1.3%) 1130(0.4%) get-ffi-lib9 ...-7.0/collects/ffi/unsafe.rkt:121:0 get-cross-lib-search-dirs [216] 65.9% ---------------------------------------------------------------------------------- mk-ival [185] 100.0% [200] 1876(0.7%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [279] 50.1% ??? [278] 49.9% ---------------------------------------------------------------------------------- copying-mergesort [191] 38.0% generic-sort/key [168] 62.0% [201] 1642(0.6%) 0(0.0%) loop ...7.0/collects/racket/private/sort.rkt:96:12 ??? [141] 78.2% ??? [211] 21.8% ---------------------------------------------------------------------------------- taylor [177] 12.1% simplify [30] 87.9% [202] 1344(0.5%) 840(0.3%) debug5 ...tlies/herbie/develop/src/debug.rkt:102:0 assoc-ref [220] 25.4% ??? [270] 12.1% ---------------------------------------------------------------------------------- custom-set-union [188] 100.0% [203] 1306(0.5%) 632(0.2%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [218] 51.6% ---------------------------------------------------------------------------------- append-map [214] 12.3% simplify-node [182] 87.7% [204] 988(0.4%) 0(0.0%) gather-additive-terms6 ...src/core/reduce.rkt:70:0 append-map [214] 67.0% parse-loop15 [239] 33.0% ---------------------------------------------------------------------------------- simplify-node [182] 100.0% [205] 952(0.4%) 306(0.1%) combine-mterms ...evelop/src/core/reduce.rkt:195:0 for-loop [219] 67.9% ---------------------------------------------------------------------------------- simplify-node [182] 41.1% for-loop [41] 58.9% [206] 608(0.2%) 608(0.2%) partition ...et-7.0/collects/racket/list.rkt:555:0 ---------------------------------------------------------------------------------- for-loop [102] 45.4% for-loop [190] 54.6% [207] 604(0.2%) 604(0.2%) curried ...-7.0/collects/racket/function.rkt:71:18 ---------------------------------------------------------------------------------- set [189] 100.0% [208] 592(0.2%) 592(0.2%) for-loop ...cts/racket/private/set-types.rkt:937:4 ---------------------------------------------------------------------------------- simplify-node [182] 20.0% map [160] 80.0% [209] 356(0.1%) 356(0.1%) gather-multiplicative-terms ...re/reduce.rkt:112:0 map [160] 80.0% ---------------------------------------------------------------------------------- simplify-node [182] 100.0% [210] 324(0.1%) 324(0.1%) combine-aterms ...evelop/src/core/reduce.rkt:187:0 ---------------------------------------------------------------------------------- loop [18] 0.1% ??? [211] 0.1% map [160] 0.2% for-loop [104] 0.2% ??? [178] 0.2% loop [201] 0.3% loop [40] 0.5% ??? [93] 1.1% loop [31] 1.7% for-loop [135] 2.4% ??? [141] 9.6% loop [152] 12.6% ??? [4] 15.1% location-do [225] 18.2% for-loop [63] 18.2% ??? [151] 19.2% [211] 125090(47.3%) 7262(2.7%) ??? ...tract/private/arrow-higher-order.rkt:357:33 ->flonum [227] 18.8% location-do [225] 18.2% approximate9 [3] 18.2% ival-mult [228] 15.2% hash-ref! [224] 15.2% sample-multi-bounded [230] 4.1% ival-pow [231] 3.5% best-alt [233] 1.1% ??? [211] 0.1% ---------------------------------------------------------------------------------- expand-capturing-lifts [194] 100.0% [212] 42988(16.3%) 204(0.1%) lambda-clause-expander (unknown source) finish-bodys [226] 83.8% loop [285] 14.6% for-loop [298] 1.2% ---------------------------------------------------------------------------------- for-loop [298] 25.9% expand-capturing-lifts [194] 31.4% loop [285] 42.8% [213] 13848(5.2%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [229] 100.0% ---------------------------------------------------------------------------------- gather-additive-terms6 [204] 4.9% append-map [214] 11.0% simplify-node [182] 33.8% f9 [108] 50.4% [214] 6282(2.4%) 168(0.1%) append-map ...t-7.0/collects/racket/list.rkt:586:2 parse-loop15 [239] 36.5% f9 [108] 26.8% free-variables [232] 21.2% append-map [214] 11.0% loop [234] 2.4% gather-additive-terms6 [204] 0.8% ---------------------------------------------------------------------------------- debug-print [196] 100.0% [215] 2800(1.1%) 2800(1.1%) for-loop ...ies/herbie/develop/src/debug.rkt:116:2 ---------------------------------------------------------------------------------- get-ffi-lib9 [199] 100.0% [216] 2188(0.8%) 1888(0.7%) get-cross-lib-search-dirs ...rivate/dirs.rkt:168:7 ??? [235] 13.7% ---------------------------------------------------------------------------------- debug-print [196] 100.0% [217] 686(0.3%) 204(0.1%) ??? .../contract/private/arrow-val-first.rkt:428:3 ~r78 [236] 39.7% mk-call [237] 30.6% ---------------------------------------------------------------------------------- for-loop [203] 100.0% [218] 674(0.3%) 674(0.3%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------------------- combine-mterms [205] 100.0% [219] 646(0.2%) 646(0.2%) for-loop ...rbie/develop/src/core/reduce.rkt:199:5 ---------------------------------------------------------------------------------- debug5 [202] 100.0% [220] 342(0.1%) 342(0.1%) assoc-ref ...collects/racket/private/dict.rkt:56:0 ---------------------------------------------------------------------------------- debug-print [196] 100.0% [221] 274(0.1%) 274(0.1%) make-keyword-procedure ...ket/private/kw.rkt:407:4 ---------------------------------------------------------------------------------- compile-forms31 [197] 100.0% [222] 238(0.1%) 0(0.0%) loop! (unknown source) for-loop [298] 100.0% ---------------------------------------------------------------------------------- compile-forms31 [197] 100.0% [223] 230(0.1%) 230(0.1%) serialize-phase-to-link-module-uses ...own source) ---------------------------------------------------------------------------------- eval-prog [134] 0.0% localize-error [52] 0.1% map [160] 0.2% for-loop [34] 0.3% simplify* [254] 0.4% loop [152] 1.2% taylor-sqrt [195] 1.5% ??? [32] 1.7% ??? [8] 2.8% for-loop [22] 3.0% first-nonzero-exp [23] 4.9% ??? [238] 5.7% compile [91] 6.8% ??? [241] 8.3% for-loop [20] 9.0% loop [18] 11.0% ??? [211] 11.2% ??? [4] 31.5% [224] 72738(27.5%) 12390(4.7%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [4] 42.6% simplify [30] 12.0% ??? [241] 9.5% ??? [5] 9.0% ??? [238] 5.9% taylor [177] 5.3% ??? [6] 4.7% ??? [8] 2.8% parse-loop15 [239] 0.9% ??? [15] 0.3% f9 [108] 0.2% ---------------------------------------------------------------------------------- location-do [225] 39.5% ??? [211] 60.5% [225] 64524(24.4%) 0(0.0%) location-do ...rbie/develop/src/programs.rkt:111:0 ??? [211] 60.5% location-do [225] 39.5% ---------------------------------------------------------------------------------- lambda-clause-expander [212] 23.7% for-loop [298] 76.3% [226] 36026(13.6%) 0(0.0%) finish-bodys (unknown source) for-loop [298] 100.0% ---------------------------------------------------------------------------------- ??? [211] 100.0% [227] 23712(9.0%) 14376(5.4%) ->flonum ...s/herbie/develop/src/programs.rkt:38:0 return/no-unsupplied [269] 22.5% ??? [270] 13.0% list-member? [247] 2.9% ??? [273] 1.1% ---------------------------------------------------------------------------------- ??? [211] 100.0% [228] 19024(7.2%) 4176(1.6%) ival-mult ...rbie/develop/src/biginterval.rkt:95:0 classify-ival [240] 42.0% bf* [242] 32.7% ...higher-order.rkt:361:33 [246] 3.4% ---------------------------------------------------------------------------------- dispatch-transformer41 [213] 100.0% [229] 13848(5.2%) 1480(0.6%) apply-transformer52 (unknown source) apply-transformer-in-context [243] 40.5% loop [285] 39.8% apply-post-expansion [249] 5.6% syntax-track-origin4 [250] 2.1% for-loop [298] 1.3% ---------------------------------------------------------------------------------- ??? [211] 100.0% [230] 5124(1.9%) 1594(0.6%) sample-multi-bounded ...evelop/src/points.rkt:15:0 for-loop [244] 32.6% loop [248] 18.3% ??? [270] 12.1% list-member? [247] 5.8% ---------------------------------------------------------------------------------- ??? [211] 100.0% [231] 4364(1.7%) 1340(0.5%) ival-pow ...rbie/develop/src/biginterval.rkt:199:0 ??? [253] 62.4% fold-binary-pred [255] 6.9% ---------------------------------------------------------------------------------- mterm->expr [59] 16.9% append-map [214] 83.1% [232] 2598(1.0%) 280(0.1%) free-variables ...e/develop/src/programs.rkt:102:0 ??? [79] 53.0% variable? [75] 36.3% ---------------------------------------------------------------------------------- ??? [211] 100.0% [233] 1594(0.6%) 0(0.0%) best-alt .../herbie/develop/src/mainloop.rkt:106:0 loop [245] 84.7% argmins [251] 15.3% ---------------------------------------------------------------------------------- append-map [214] 33.3% loop [234] 66.7% [234] 306(0.1%) 306(0.1%) loop ...racket-7.0/collects/racket/list.rkt:417:34 loop [234] 66.7% ---------------------------------------------------------------------------------- get-cross-lib-search-dirs [216] 100.0% [235] 300(0.1%) 300(0.1%) ??? ...racket-7.0/collects/racket/promise.rkt:42:2 ---------------------------------------------------------------------------------- ??? [217] 100.0% [236] 272(0.1%) 272(0.1%) ~r78 ...acket-7.0/collects/racket/format.rkt:189:0 ---------------------------------------------------------------------------------- ??? [217] 100.0% [237] 210(0.1%) 210(0.1%) mk-call ...tract/private/arrow-val-first.rkt:431:5 ---------------------------------------------------------------------------------- hash-ref! [224] 100.0% [238] 32640(12.3%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:45:15 hash-ref! [224] 98.3% ??? [32] 1.7% ---------------------------------------------------------------------------------- gather-additive-terms6 [204] 0.3% for-loop [41] 1.5% hash-ref! [224] 2.5% append-map [214] 3.6% parse-loop15 [239] 5.2% simplify [30] 39.7% map [160] 47.1% [239] 31526(11.9%) 4378(1.7%) parse-loop15 ...s/racket/match/compiler.rkt:418:15 eval-const-expr [252] 69.8% parse-loop15 [239] 5.2% f9 [108] 3.0% loop [152] 2.4% for-loop [14] 1.8% mterm->expr [59] 1.0% simplify* [254] 0.9% make-multiplication-node [25] 0.5% make-multiplication-subsubsubnode [51] 0.5% for-loop [265] 0.5% simplify-node [182] 0.4% loop [267] 0.2% ---------------------------------------------------------------------------------- ival-div [179] 32.2% ival-mult [228] 67.8% [240] 11784(4.5%) 6174(2.3%) classify-ival ...develop/src/biginterval.rkt:300:0 fold-binary-pred [255] 24.0% force [256] 20.8% ...higher-order.rkt:357:33 [266] 2.8% ---------------------------------------------------------------------------------- hash-ref! [224] 100.0% [241] 9300(3.5%) 1200(0.5%) ??? ...tlies/herbie/develop/src/programs.rkt:189:5 hash-ref! [224] 90.8% loop [152] 3.6% ---------------------------------------------------------------------------------- ival-mult [228] 100.0% [242] 6212(2.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [253] 100.0% ---------------------------------------------------------------------------------- apply-transformer52 [229] 100.0% [243] 5614(2.1%) 240(0.1%) apply-transformer-in-context (unknown source) ??? [257] 36.5% parse-app [259] 21.8% go [261] 20.7% parse-lambda [263] 11.3% datum->syntax6 [264] 5.5% ---------------------------------------------------------------------------------- sample-multi-bounded [230] 100.0% [244] 1670(0.6%) 1670(0.6%) for-loop ...ies/herbie/develop/src/points.rkt:25:4 ---------------------------------------------------------------------------------- best-alt [233] 100.0% [245] 1350(0.5%) 0(0.0%) loop ...ghtlies/herbie/develop/src/common.rkt:94:2 ??? [258] 100.0% ---------------------------------------------------------------------------------- loop [152] 21.7% ival-sub [181] 24.7% ival-mult [228] 53.6% [246] 1208(0.5%) 0(0.0%) ...higher-order.rkt:361:33 (unknown source) ??? [260] 100.0% ---------------------------------------------------------------------------------- sample-multi-bounded [230] 30.5% ->flonum [227] 69.5% [247] 976(0.4%) 976(0.4%) list-member? ...llects/racket/private/set.rkt:24:0 ---------------------------------------------------------------------------------- sample-multi-bounded [230] 100.0% [248] 940(0.4%) 0(0.0%) loop ...ghtlies/herbie/develop/src/points.rkt:44:6 random-exp [262] 100.0% ---------------------------------------------------------------------------------- apply-transformer52 [229] 100.0% [249] 770(0.3%) 0(0.0%) apply-post-expansion (unknown source) gf [286] 100.0% ---------------------------------------------------------------------------------- apply-transformer52 [229] 100.0% [250] 292(0.1%) 292(0.1%) syntax-track-origin4 (unknown source) ---------------------------------------------------------------------------------- best-alt [233] 100.0% [251] 244(0.1%) 0(0.0%) argmins ...lies/herbie/develop/src/common.rkt:93:0 ??? [258] 100.0% ---------------------------------------------------------------------------------- ??? [88] 1.2% f9 [108] 17.8% parse-loop15 [239] 81.0% [252] 27254(10.3%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:149:0 eval-prog [134] 100.0% ---------------------------------------------------------------------------------- ival-div [179] 11.3% ival-sqrt [184] 12.7% ival-pow [231] 16.3% ival-sub [181] 22.5% bf* [242] 37.2% [253] 16708(6.3%) 4254(1.6%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [268] 61.9% bfsqrt [271] 12.7% ---------------------------------------------------------------------------------- parse-loop15 [239] 4.3% simplify [30] 16.1% map [160] 79.6% [254] 6406(2.4%) 2870(1.1%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 hash-ref! [224] 35.8% ??? [270] 10.4% return/no-unsupplied [269] 8.9% ---------------------------------------------------------------------------------- ival-pow [231] 8.6% ival-sqrt [184] 9.8% classify-ival [240] 81.5% [255] 3474(1.3%) 0(0.0%) fold-binary-pred ...gfloat/bigfloat-mpfr.rkt:117:0 ??? [162] 100.0% ---------------------------------------------------------------------------------- classify-ival [240] 100.0% [256] 2452(0.9%) 2452(0.9%) force ...collects/racket/private/promise.rkt:109:0 ---------------------------------------------------------------------------------- apply-transformer-in-context [243] 100.0% [257] 2050(0.8%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [272] 82.4% syntax->list [281] 17.6% ---------------------------------------------------------------------------------- argmins [251] 15.3% loop [245] 84.7% [258] 1594(0.6%) 0(0.0%) ??? ...lies/herbie/develop/src/mainloop.rkt:108:19 errors [122] 100.0% ---------------------------------------------------------------------------------- apply-transformer-in-context [243] 100.0% [259] 1222(0.5%) 0(0.0%) parse-app ...collects/racket/private/kw.rkt:1105:2 syntax->list [281] 69.2% ??? [275] 30.8% ---------------------------------------------------------------------------------- ...higher-order.rkt:361:33 [246] 100.0% [260] 1208(0.5%) 910(0.3%) ??? ...cts/racket/contract/private/list.rkt:209:10 ??? [273] 24.7% ---------------------------------------------------------------------------------- apply-transformer-in-context [243] 100.0% [261] 1160(0.4%) 302(0.1%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [274] 52.4% stx-list? [277] 21.6% ---------------------------------------------------------------------------------- loop [248] 100.0% [262] 940(0.4%) 940(0.4%) random-exp .../herbie/develop/src/common.rkt:173:0 ---------------------------------------------------------------------------------- apply-transformer-in-context [243] 100.0% [263] 634(0.2%) 300(0.1%) parse-lambda ...llects/racket/private/kw.rkt:585:2 simple-args? [276] 52.7% ---------------------------------------------------------------------------------- apply-transformer-in-context [243] 49.2% eval [145] 50.8% [264] 626(0.2%) 318(0.1%) datum->syntax6 (unknown source) loop [285] 49.2% ---------------------------------------------------------------------------------- parse-loop15 [239] 100.0% [265] 538(0.2%) 246(0.1%) for-loop ...rbie/develop/src/core/reduce.rkt:87:11 simplify-node [182] 54.3% ---------------------------------------------------------------------------------- classify-ival [240] 100.0% [266] 326(0.1%) 326(0.1%) ...higher-order.rkt:357:33 (unknown source) ---------------------------------------------------------------------------------- parse-loop15 [239] 2.0% loop [267] 98.0% [267] 286(0.1%) 286(0.1%) loop ...-7.0/collects/racket/private/map.rkt:54:19 loop [267] 98.0% ---------------------------------------------------------------------------------- ??? [253] 100.0% [268] 10334(3.9%) 356(0.1%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [279] 53.7% ??? [278] 42.8% ---------------------------------------------------------------------------------- loop [127] 2.8% mterm->expr [59] 3.8% ulp-difference [198] 5.7% simplify* [254] 6.5% ??? [164] 21.1% ->flonum [227] 60.1% [269] 8864(3.4%) 5762(2.2%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [280] 35.0% ---------------------------------------------------------------------------------- debug5 [202] 3.2% ulp-difference [198] 4.9% ??? [164] 4.9% sample-multi-bounded [230] 12.4% simplify* [254] 13.3% ->flonum [227] 61.2% [270] 5020(1.9%) 5020(1.9%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 ---------------------------------------------------------------------------------- ??? [253] 100.0% [271] 2120(0.8%) 0(0.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:618:4 ??? [278] 100.0% ---------------------------------------------------------------------------------- ??? [257] 100.0% [272] 1690(0.6%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [281] 100.0% ---------------------------------------------------------------------------------- ->flonum [227] 29.4% ??? [260] 34.2% mk-ival [185] 36.5% [273] 872(0.3%) 872(0.3%) ??? ...ects/racket/contract/private/guts.rkt:746:8 ---------------------------------------------------------------------------------- go [261] 100.0% [274] 608(0.2%) 0(0.0%) loop ...llects/racket/private/qq-and-or.rkt:101:61 stx-pair? [283] 54.6% stx-cdr [284] 45.4% ---------------------------------------------------------------------------------- parse-app [259] 100.0% [275] 376(0.1%) 0(0.0%) ??? ...-7.0/collects/racket/private/kw.rkt:1110:27 syntax-e [7] 100.0% ---------------------------------------------------------------------------------- parse-lambda [263] 100.0% [276] 334(0.1%) 0(0.0%) simple-args? ...llects/racket/private/kw.rkt:498:2 identifier? [282] 100.0% ---------------------------------------------------------------------------------- go [261] 100.0% [277] 250(0.1%) 0(0.0%) stx-list? .../collects/racket/private/stx.rkt:49:4 syntax-e [7] 100.0% ---------------------------------------------------------------------------------- bf [200] 12.5% bfsqrt [271] 28.3% bfmul [268] 59.1% [278] 7480(2.8%) 7480(2.8%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 ---------------------------------------------------------------------------------- bf [200] 14.5% bfmul [268] 85.5% [279] 6494(2.5%) 6494(2.5%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ---------------------------------------------------------------------------------- return/no-unsupplied [269] 100.0% [280] 3102(1.2%) 3102(1.2%) filter ...0/collects/racket/private/list.rkt:256:2 ---------------------------------------------------------------------------------- ??? [257] 12.4% parse-app [259] 29.2% ??? [272] 58.4% [281] 2896(1.1%) 0(0.0%) syntax->list (unknown source) loop [285] 100.0% ---------------------------------------------------------------------------------- simple-args? [276] 100.0% [282] 334(0.1%) 0(0.0%) identifier? ...ollects/racket/private/stx.rkt:13:4 syntax-e [7] 100.0% ---------------------------------------------------------------------------------- loop [274] 100.0% [283] 332(0.1%) 0(0.0%) stx-pair? .../collects/racket/private/stx.rkt:40:4 syntax-e [7] 100.0% ---------------------------------------------------------------------------------- loop [274] 100.0% [284] 276(0.1%) 276(0.1%) stx-cdr ....0/collects/racket/private/stx.rkt:74:4 ---------------------------------------------------------------------------------- datum->syntax6 [264] 0.3% gf [286] 0.3% temp74_0 [161] 0.7% expand-capturing-lifts [194] 1.2% loop [285] 1.8% syntax->list [281] 3.5% eval-prog [134] 7.4% lambda-clause-expander [212] 11.0% apply-transformer52 [229] 11.7% for-loop [298] 15.1% syntax-e/no-taint [21] 47.1% [285] 30530(11.6%) 1776(0.7%) loop (unknown source) gf [286] 47.1% expand-id-application-form17 [287] 12.7% dispatch-transformer41 [213] 9.9% core-form-sym [288] 8.0% expand-capturing-lifts [194] 7.4% syntax-e [7] 6.7% expand-identifier [10] 2.3% loop [285] 1.8% ---------------------------------------------------------------------------------- apply-post-expansion [249] 2.5% loop [285] 97.5% [286] 19748(7.5%) 4250(1.6%) gf (unknown source) propagation-apply [290] 31.7% propagation-merge [291] 17.5% propagation-apply-shifted [292] 15.5% cache-or-reuse-set [294] 6.3% cache-or-reuse-hash [295] 5.8% syntax-e/no-taint [21] 1.4% loop [285] 1.1% ---------------------------------------------------------------------------------- for-loop [298] 8.6% expand-capturing-lifts [194] 15.0% loop [285] 76.5% [287] 6754(2.6%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [21] 36.7% binding-lookup50 [293] 33.4% resolve+shift28 [289] 29.9% ---------------------------------------------------------------------------------- loop [285] 100.0% [288] 2940(1.1%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [289] 100.0% ---------------------------------------------------------------------------------- free-identifier=? [172] 2.8% expand-id-application-form17 [287] 19.0% expand-implicit [11] 23.3% expand-identifier [10] 27.4% core-form-sym [288] 27.6% [289] 10638(4.0%) 456(0.2%) resolve+shift28 (unknown source) fallback-loop [296] 95.7% ---------------------------------------------------------------------------------- gf [286] 100.0% [290] 6266(2.4%) 6266(2.4%) propagation-apply (unknown source) ---------------------------------------------------------------------------------- gf [286] 100.0% [291] 3462(1.3%) 3462(1.3%) propagation-merge (unknown source) ---------------------------------------------------------------------------------- gf [286] 100.0% [292] 3064(1.2%) 3064(1.2%) propagation-apply-shifted (unknown source) ---------------------------------------------------------------------------------- expand-implicit [11] 19.8% expand-id-application-form17 [287] 80.2% [293] 2812(1.1%) 2588(1.0%) binding-lookup50 (unknown source) binding->module-instance [297] 8.0% ---------------------------------------------------------------------------------- gf [286] 100.0% [294] 1352(0.5%) 1352(0.5%) cache-or-reuse-set (unknown source) ---------------------------------------------------------------------------------- gf [286] 100.0% [295] 1142(0.4%) 574(0.2%) cache-or-reuse-hash (unknown source) for-loop [298] 49.7% ---------------------------------------------------------------------------------- resolve+shift28 [289] 100.0% [296] 10182(3.9%) 3246(1.2%) fallback-loop (unknown source) for-loop [298] 68.1% ---------------------------------------------------------------------------------- binding-lookup50 [293] 100.0% [297] 224(0.1%) 224(0.1%) binding->module-instance (unknown source) ---------------------------------------------------------------------------------- add-local-binding!37 [299] 0.3% apply-transformer52 [229] 0.4% loop! [222] 0.6% namespace-syntax-introduce3 [156] 0.8% lambda-clause-expander [212] 0.9% cache-or-reuse-hash [295] 1.0% fallback-loop [296] 2.9% compile-forms31 [197] 9.1% for-loop [298] 9.2% finish-bodys [226] 73.4% [298] 42552(16.1%) 18006(6.8%) for-loop (unknown source) finish-bodys [226] 57.9% for-loop [298] 9.2% loop [285] 4.0% syntax-e [7] 2.6% add-local-binding!37 [299] 2.3% expand-implicit [11] 0.9% dispatch-transformer41 [213] 0.8% expand-identifier [10] 0.7% compile5 [300] 0.6% expand-id-application-form17 [287] 0.1% ---------------------------------------------------------------------------------- for-loop [298] 100.0% [299] 3944(1.5%) 3062(1.2%) add-local-binding!37 (unknown source) for-loop [298] 13.2% binding-table-add [301] 9.1% ---------------------------------------------------------------------------------- for-loop [298] 100.0% [300] 238(0.1%) 0(0.0%) compile5 (unknown source) compile-let13 [302] 100.0% ---------------------------------------------------------------------------------- add-local-binding!37 [299] 100.0% [301] 360(0.1%) 360(0.1%) binding-table-add (unknown source) ---------------------------------------------------------------------------------- compile5 [300] 100.0% [302] 238(0.1%) 238(0.1%) compile-let13 (unknown source) ----------------------------------------------------------------------------------