Profiling results ----------------- Total cpu time observed: 80906ms (out of 81644ms) Number of samples taken: 287 (once every 282ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 229 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [26] 100.0% [1] 80906(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% -------------------------------------------------------------------------- ??? [26] 100.0% [2] 51738(63.9%) 0(0.0%) run-improve39 ...ie/develop/src/mainloop.rkt:287:0 for-loop [16] 99.5% -------------------------------------------------------------------------- ??? [26] 100.0% [3] 8510(10.5%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:227:0 for-loop [17] 100.0% -------------------------------------------------------------------------- ??? [89] 100.0% [4] 4118(5.1%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [18] 68.2% for-loop [23] 19.0% taylor [29] 6.6% simplify [170] 6.2% -------------------------------------------------------------------------- ??? [26] 100.0% [5] 2604(3.2%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:310:0 infer-splitpoints [20] 80.0% f46 [183] 10.6% ??? [96] 9.4% -------------------------------------------------------------------------- loop [181] 20.8% for-loop [148] 79.2% [6] 2428(3.0%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [19] 100.0% -------------------------------------------------------------------------- hash-ref! [157] 100.0% [7] 1718(2.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:290:26 for-loop [21] 100.0% -------------------------------------------------------------------------- hash-ref! [157] 100.0% [8] 890(1.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:300:23 for-loop [22] 100.0% -------------------------------------------------------------------------- hash-ref! [157] 100.0% [9] 736(0.9%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:317:0 first-nonzero-exp [45] 63.0% simplify [170] 37.0% -------------------------------------------------------------------------- copying-mergesort [66] 100.0% [10] 504(0.6%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:120:23 ??? [84] 100.0% -------------------------------------------------------------------------- f46 [183] 100.0% [11] 462(0.6%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:586:2 f46 [183] 66.1% free-variables [24] 33.9% -------------------------------------------------------------------------- ??? [89] 100.0% [12] 336(0.4%) 0(0.0%) best-alt .../herbie/develop/src/mainloop.rkt:109:0 loop [25] 100.0% -------------------------------------------------------------------------- ??? [26] 100.0% [13] 302(0.4%) 0(0.0%) baseline-error ...bie/develop/src/points.rkt:231:0 loop [131] 100.0% -------------------------------------------------------------------------- for-loop [148] 100.0% [14] 258(0.3%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [129] 100.0% -------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [15] 80906(100.0%) 0(0.0%) run ...racket/share/pkgs/profile-lib/main.rkt:39:2 ??? [26] 100.0% -------------------------------------------------------------------------- run-improve39 [2] 100.0% [16] 51494(63.6%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:304:10 run-iter! [27] 100.0% -------------------------------------------------------------------------- oracle-error [3] 100.0% [17] 8510(10.5%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:228:2 loop [70] 73.5% map [187] 26.5% -------------------------------------------------------------------------- approximate9 [4] 100.0% [18] 2810(3.5%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 hash-ref! [157] 89.5% ??? [89] 10.5% -------------------------------------------------------------------------- syntax-e [6] 100.0% [19] 2428(3.0%) 0(0.0%) syntax-e/no-taint (unknown source) loop [181] 100.0% -------------------------------------------------------------------------- get-final-combination [5] 100.0% [20] 2082(2.6%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:32:0 for-loop [28] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [21] 1718(2.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:290:52 hash-ref! [157] 100.0% -------------------------------------------------------------------------- ??? [8] 100.0% [22] 890(1.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:303:27 hash-ref! [157] 100.0% -------------------------------------------------------------------------- approximate9 [4] 100.0% [23] 782(1.0%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:30:18 taylor [29] 100.0% -------------------------------------------------------------------------- append-map [11] 100.0% [24] 462(0.6%) 214(0.3%) free-variables ...ie/develop/src/programs.rkt:80:0 ??? [41] 53.7% -------------------------------------------------------------------------- best-alt [12] 100.0% [25] 336(0.4%) 0(0.0%) loop ...htlies/herbie/develop/src/common.rkt:130:2 ??? [30] 100.0% -------------------------------------------------------------------------- run [15] 50.0% [26] 80906(100.0%) 360(0.4%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 50.0% run-improve39 [2] 32.0% loop [33] 9.6% oracle-error [3] 5.3% get-final-combination [5] 1.6% eval-errors [71] 0.6% eval-prog [72] 0.2% loop [70] 0.2% baseline-error [13] 0.2% ??? [39] 0.2% -------------------------------------------------------------------------- for-loop [16] 100.0% [27] 51494(63.6%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:268:0 simplify! [31] 52.9% finalize-iter! [32] 36.9% gen-series! [34] 8.0% localize-error [37] 0.9% gen-rewrites! [38] 0.6% -------------------------------------------------------------------------- infer-splitpoints [20] 100.0% [28] 2082(2.6%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:44:6 option-on-expr [35] 100.0% -------------------------------------------------------------------------- map [187] 2.9% approximate9 [4] 2.9% hash-ref! [157] 20.8% taylor [29] 35.8% for-loop [23] 37.6% [29] 1328(1.6%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:169:0 taylor-sqrt [36] 37.6% taylor [29] 35.8% loop [70] 23.7% map [187] 2.9% -------------------------------------------------------------------------- loop [25] 100.0% [30] 336(0.4%) 0(0.0%) ??? ...lies/herbie/develop/src/mainloop.rkt:111:19 eval-errors [71] 100.0% -------------------------------------------------------------------------- run-iter! [27] 100.0% [31] 27250(33.7%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:182:0 for-loop [40] 100.0% -------------------------------------------------------------------------- run-iter! [27] 100.0% [32] 18980(23.5%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:222:0 ??? [41] 100.0% -------------------------------------------------------------------------- ??? [26] 100.0% [33] 15482(19.1%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:167:2 loop [52] 72.4% loop [43] 24.5% for-loop [47] 3.1% -------------------------------------------------------------------------- run-iter! [27] 100.0% [34] 4118(5.1%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:152:0 for-loop [42] 100.0% -------------------------------------------------------------------------- for-loop [28] 100.0% [35] 2082(2.6%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:112:0 for-loop [44] 51.1% sort-context-on-expr [46] 48.9% -------------------------------------------------------------------------- taylor [29] 100.0% [36] 782(1.0%) 0(0.0%) taylor-sqrt ...e/develop/src/core/taylor.rkt:351:0 first-nonzero-exp [45] 72.4% hash-ref! [157] 27.6% -------------------------------------------------------------------------- run-iter! [27] 100.0% [37] 480(0.6%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:51:0 hash-ref! [157] 100.0% -------------------------------------------------------------------------- run-iter! [27] 100.0% [38] 330(0.4%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:165:0 for-loop [48] 100.0% -------------------------------------------------------------------------- ??? [26] 100.0% [39] 280(0.3%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ??? [49] 100.0% -------------------------------------------------------------------------- simplify! [31] 100.0% [40] 27250(33.7%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:186:6 for-loop [50] 100.0% -------------------------------------------------------------------------- variable? [162] 1.2% free-variables [24] 1.2% match-e [135] 2.3% finalize-iter! [32] 93.6% [41] 20268(25.1%) 952(1.2%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [51] 93.6% -------------------------------------------------------------------------- gen-series! [34] 100.0% [42] 4118(5.1%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:158:7 taylor-alt [53] 100.0% -------------------------------------------------------------------------- loop [33] 100.0% [43] 3790(4.7%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:125:2 loop [52] 78.3% make-exacts* [55] 21.7% -------------------------------------------------------------------------- option-on-expr [35] 100.0% [44] 1064(1.3%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:120:4 eval-errors [71] 100.0% -------------------------------------------------------------------------- taylor-invert [9] 45.0% taylor-sqrt [36] 55.0% [45] 1030(1.3%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:265:0 hash-ref! [157] 100.0% -------------------------------------------------------------------------- option-on-expr [35] 100.0% [46] 1018(1.3%) 0(0.0%) sort-context-on-expr ...evelop/src/points.rkt:91:0 ??? [54] 100.0% -------------------------------------------------------------------------- loop [33] 100.0% [47] 484(0.6%) 246(0.3%) for-loop ...s/herbie/develop/src/points.rkt:182:19 for-loop [58] 49.2% -------------------------------------------------------------------------- gen-rewrites! [38] 100.0% [48] 330(0.4%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:170:11 ??? [56] 100.0% -------------------------------------------------------------------------- for-loop [57] 50.0% ??? [39] 50.0% [49] 280(0.3%) 280(0.3%) ??? ...cts/racket/contract/private/list.rkt:209:10 for-loop [57] 50.0% -------------------------------------------------------------------------- for-loop [40] 100.0% [50] 27250(33.7%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:210:8 ??? [89] 100.0% -------------------------------------------------------------------------- ??? [41] 100.0% [51] 18980(23.5%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [59] 97.1% loop [62] 2.9% -------------------------------------------------------------------------- loop [43] 20.9% loop [33] 79.1% [52] 14176(17.5%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:108:4 loop [70] 100.0% -------------------------------------------------------------------------- for-loop [42] 100.0% [53] 4118(5.1%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:137:0 for-loop [60] 100.0% -------------------------------------------------------------------------- sort-context-on-expr [46] 100.0% [54] 1018(1.3%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:369:3 generic-sort/key [61] 70.3% loop [73] 29.7% -------------------------------------------------------------------------- loop [43] 100.0% [55] 822(1.0%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:105:0 loop [70] 100.0% -------------------------------------------------------------------------- for-loop [48] 100.0% [56] 330(0.4%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:54:0 rewriter [63] 100.0% -------------------------------------------------------------------------- ??? [49] 100.0% [57] 280(0.3%) 0(0.0%) for-loop ...acket/contract/private/list.rkt:212:15 ??? [49] 100.0% -------------------------------------------------------------------------- for-loop [47] 100.0% [58] 238(0.3%) 238(0.3%) for-loop ...es/herbie/develop/src/points.rkt:159:4 -------------------------------------------------------------------------- for-loop [51] 100.0% [59] 18428(22.8%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:210:0 best-and-tied-at-points [64] 54.4% override-at-pnts [65] 42.7% append-at-pnts [67] 2.9% -------------------------------------------------------------------------- taylor-alt [53] 100.0% [60] 4118(5.1%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:143:6 ??? [89] 100.0% -------------------------------------------------------------------------- ??? [54] 100.0% [61] 716(0.9%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [66] 100.0% -------------------------------------------------------------------------- for-loop [51] 100.0% [62] 552(0.7%) 0(0.0%) loop ...erbie/develop/src/core/alt-table.rkt:184:2 map [187] 53.3% loop [69] 46.7% -------------------------------------------------------------------------- matcher [74] 50.0% ??? [56] 50.0% [63] 330(0.4%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [68] 100.0% -------------------------------------------------------------------------- atab-add-altn [59] 100.0% [64] 10020(12.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 eval-errors [71] 79.7% eval-prog [72] 17.9% for-loop [75] 2.4% -------------------------------------------------------------------------- atab-add-altn [59] 100.0% [65] 7876(9.7%) 308(0.4%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 eval-errors [71] 61.5% eval-prog [72] 31.5% for-loop [76] 3.0% -------------------------------------------------------------------------- generic-sort/key [61] 47.2% copying-mergesort [66] 52.8% [66] 716(0.9%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [66] 52.8% loop [73] 29.6% jloop [10] 17.6% -------------------------------------------------------------------------- atab-add-altn [59] 100.0% [67] 532(0.7%) 0(0.0%) append-at-pnts ...lop/src/core/alt-table.rkt:154:0 loop [70] 100.0% -------------------------------------------------------------------------- rewriter [63] 100.0% [68] 330(0.4%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [74] 50.0% variable? [162] 50.0% -------------------------------------------------------------------------- loop [62] 10.0% loop [69] 90.0% [69] 258(0.3%) 258(0.3%) loop ...p92/racket/collects/racket/list.rkt:434:28 loop [69] 90.0% -------------------------------------------------------------------------- make-exacts* [55] 0.1% parse-loop80 [199] 0.1% ??? [26] 0.5% loop [52] 1.1% append-at-pnts [67] 1.1% taylor [29] 1.8% map-enodes [118] 1.9% loop! [169] 2.0% map [187] 3.3% ??? [84] 4.0% for-loop [17] 8.0% loop [70] 76.1% [70] 30316(37.5%) 1072(1.3%) loop ...cket/collects/racket/private/map.rkt:40:19 loop [70] 76.1% ??? [79] 8.1% ??? [84] 4.4% ??? [89] 3.1% loop! [169] 2.0% set-precompute! [80] 1.9% simplify [170] 0.9% eval-prog [72] 0.5% hash-ref! [157] 0.0% ??? [82] 0.0% bf [91] 0.0% bffma [83] 0.0% -------------------------------------------------------------------------- ??? [142] 1.9% ??? [30] 2.2% ??? [26] 6.3% for-loop [44] 6.9% override-at-pnts [65] 31.2% best-and-tied-at-points [64] 51.5% [71] 15510(19.2%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:208:0 for-loop [77] 100.0% -------------------------------------------------------------------------- eval-const-expr [94] 4.0% pred [219] 5.1% loop [70] 5.6% ??? [26] 6.4% best-and-tied-at-points [64] 33.1% override-at-pnts [65] 45.8% [72] 5416(6.7%) 0(0.0%) eval-prog ...herbie/develop/src/programs.rkt:109:0 temp68_2 [78] 96.0% f46 [183] 4.0% -------------------------------------------------------------------------- copying-mergesort [66] 41.2% ??? [54] 58.8% [73] 514(0.6%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:96:12 ??? [84] 100.0% -------------------------------------------------------------------------- for-loop [81] 50.0% for-loop [68] 50.0% [74] 330(0.4%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:168:2 for-loop [81] 50.0% rewriter [63] 50.0% -------------------------------------------------------------------------- best-and-tied-at-points [64] 100.0% [75] 244(0.3%) 244(0.3%) for-loop .../develop/src/core/alt-table.rkt:124:16 -------------------------------------------------------------------------- override-at-pnts [65] 100.0% [76] 240(0.3%) 240(0.3%) for-loop .../develop/src/core/alt-table.rkt:146:43 -------------------------------------------------------------------------- eval-errors [71] 100.0% [77] 15510(19.2%) 1116(1.4%) for-loop ...es/herbie/develop/src/points.rkt:210:2 ??? [84] 78.4% ulp-difference [86] 12.7% ??? [89] 1.7% -------------------------------------------------------------------------- f46 [183] 3.3% parse-loop80 [199] 17.0% eval-prog [72] 79.7% [78] 6528(8.1%) 0(0.0%) temp68_2 (unknown source) compile16 [85] 100.0% -------------------------------------------------------------------------- map [187] 5.3% loop [70] 94.7% [79] 5676(7.0%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:229:26 ??? [84] 73.2% ulp-difference [86] 16.2% ??? [89] 10.6% -------------------------------------------------------------------------- loop [70] 100.0% [80] 692(0.9%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:140:0 for-loop [87] 100.0% -------------------------------------------------------------------------- matcher [74] 100.0% [81] 330(0.4%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:184:21 matcher [74] 100.0% -------------------------------------------------------------------------- loop [70] 100.0% [82] 294(0.4%) 0(0.0%) ??? ...erbie/develop/src/core/alt-table.rkt:201:30 loop [88] 100.0% -------------------------------------------------------------------------- loop [70] 100.0% [83] 264(0.3%) 0(0.0%) bffma ...erbie/develop/src/syntax/syntax.rkt:358:0 bf* [101] 100.0% -------------------------------------------------------------------------- jloop [10] 1.5% loop [73] 1.5% ??? [79] 12.2% for-loop [77] 35.6% loop [70] 49.3% [84] 34174(42.2%) 2438(3.0%) ??? ...tlies/herbie/develop/src/programs.rkt:129:2 ??? [90] 42.1% ??? [89] 24.7% bf [91] 13.2% loop [70] 12.9% -------------------------------------------------------------------------- temp68_2 [78] 100.0% [85] 6528(8.1%) 256(0.3%) compile16 (unknown source) temp74_0 [92] 96.1% -------------------------------------------------------------------------- ??? [79] 31.9% for-loop [77] 68.1% [86] 2894(3.6%) 2380(2.9%) ulp-difference ...erbie/develop/src/float.rkt:19:0 return/no-unsupplied [222] 10.3% ??? [107] 7.5% -------------------------------------------------------------------------- set-precompute! [80] 100.0% [87] 692(0.9%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:142:2 setfindf [93] 69.1% eval-const-expr [94] 30.9% -------------------------------------------------------------------------- ??? [82] 33.3% loop [88] 66.7% [88] 294(0.4%) 294(0.4%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [88] 66.7% -------------------------------------------------------------------------- loop [18] 0.2% for-loop [77] 0.6% ??? [79] 1.4% ??? [171] 1.9% for-loop [60] 3.7% loop [70] 6.2% ??? [84] 19.1% for-loop [50] 31.4% location-do [95] 35.1% [89] 43344(53.6%) 2402(3.0%) ??? ...tract/private/arrow-higher-order.rkt:357:33 location-do [95] 35.1% ??? [96] 30.8% ->flonum [97] 22.6% approximate9 [4] 3.7% hash-ref! [157] 2.2% best-alt [12] 0.4% ??? [102] 0.3% -------------------------------------------------------------------------- ??? [84] 100.0% [90] 14372(17.8%) 2114(2.6%) ??? ...acket/collects/racket/private/kw.rkt:592:14 ??? [98] 46.2% ??? [105] 31.1% bf* [101] 8.0% -------------------------------------------------------------------------- loop [70] 35.4% ??? [84] 64.6% [91] 6970(8.6%) 282(0.3%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [125] 72.6% ??? [127] 23.4% -------------------------------------------------------------------------- compile16 [85] 100.0% [92] 6272(7.8%) 0(0.0%) temp74_0 (unknown source) expand-single [99] 73.9% compile-top9 [100] 26.1% -------------------------------------------------------------------------- for-loop [87] 100.0% [93] 478(0.6%) 262(0.3%) setfindf ...es/herbie/develop/src/common.rkt:163:0 for-loop [103] 45.2% -------------------------------------------------------------------------- for-loop [87] 100.0% [94] 214(0.3%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:132:0 eval-prog [72] 100.0% -------------------------------------------------------------------------- location-do [95] 49.7% ??? [89] 50.3% [95] 31368(38.8%) 0(0.0%) location-do ...erbie/develop/src/programs.rkt:90:0 ??? [89] 50.3% location-do [95] 49.7% -------------------------------------------------------------------------- get-final-combination [5] 0.9% ??? [89] 98.2% [96] 27222(33.6%) 218(0.3%) ??? ...s/herbie/develop/src/core/simplify.rkt:31:0 iterate-egraph!7 [104] 94.1% loop [109] 4.3% mk-egraph [112] 0.8% -------------------------------------------------------------------------- ??? [89] 100.0% [97] 9790(12.1%) 7018(8.7%) ->flonum ...s/herbie/develop/src/programs.rkt:36:0 ??? [107] 13.9% return/no-unsupplied [222] 11.8% list-member? [111] 2.6% -------------------------------------------------------------------------- ??? [90] 100.0% [98] 6640(8.2%) 3210(4.0%) ??? ...herbie/develop/src/syntax/syntax.rkt:197:17 return/no-unsupplied [222] 33.9% ??? [107] 17.7% -------------------------------------------------------------------------- temp74_0 [92] 100.0% [99] 4634(5.7%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [106] 100.0% -------------------------------------------------------------------------- temp74_0 [92] 100.0% [100] 1638(2.0%) 0(0.0%) compile-top9 (unknown source) compile-forms31 [108] 100.0% -------------------------------------------------------------------------- bffma [83] 18.7% ??? [90] 81.3% [101] 1414(1.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [105] 100.0% -------------------------------------------------------------------------- ??? [89] 100.0% [102] 302(0.4%) 0(0.0%) ??? ...lies/herbie/develop/src/mainloop.rkt:211:62 *simplify-rules* [110] 100.0% -------------------------------------------------------------------------- setfindf [93] 100.0% [103] 216(0.3%) 216(0.3%) for-loop ...es/herbie/develop/src/common.rkt:164:2 -------------------------------------------------------------------------- ??? [96] 100.0% [104] 25622(31.7%) 0(0.0%) iterate-egraph!7 ...lop/src/core/simplify.rkt:55:0 one-iter [113] 97.3% map-enodes [118] 2.7% -------------------------------------------------------------------------- bf* [101] 24.0% ??? [90] 76.0% [105] 5882(7.3%) 1236(1.5%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [114] 79.0% -------------------------------------------------------------------------- expand-single [99] 100.0% [106] 4634(5.7%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [115] 89.5% expand-implicit [121] 5.9% dispatch-transformer41 [116] 4.7% -------------------------------------------------------------------------- ulp-difference [86] 7.8% ??? [98] 42.7% ->flonum [97] 49.5% [107] 2756(3.4%) 2756(3.4%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 -------------------------------------------------------------------------- compile-top9 [100] 100.0% [108] 1638(2.0%) 286(0.4%) compile-forms31 (unknown source) for-loop [148] 65.7% loop! [120] 16.8% -------------------------------------------------------------------------- ??? [96] 100.0% [109] 1168(1.4%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:184:2 for-loop [117] 100.0% -------------------------------------------------------------------------- ??? [102] 100.0% [110] 302(0.4%) 0(0.0%) *simplify-rules* ...lop/src/syntax/rules.rkt:648:0 for-loop [119] 100.0% -------------------------------------------------------------------------- ->flonum [97] 100.0% [111] 254(0.3%) 254(0.3%) list-member? ...llects/racket/private/set.rkt:24:0 -------------------------------------------------------------------------- ??? [96] 100.0% [112] 214(0.3%) 0(0.0%) mk-egraph ...bie/develop/src/core/egraph.rkt:131:0 mk-enode! [122] 100.0% -------------------------------------------------------------------------- iterate-egraph!7 [104] 100.0% [113] 24930(30.8%) 466(0.6%) one-iter ...bie/develop/src/core/simplify.rkt:66:0 for-loop [123] 53.5% for-loop [124] 43.7% -------------------------------------------------------------------------- ??? [105] 100.0% [114] 4646(5.7%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [125] 81.4% ??? [127] 18.6% -------------------------------------------------------------------------- expand-capturing-lifts [106] 100.0% [115] 4146(5.1%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [126] 81.0% loop [181] 19.0% -------------------------------------------------------------------------- expand-capturing-lifts [106] 17.3% for-loop [148] 19.8% loop [181] 62.9% [116] 1250(1.5%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [128] 100.0% -------------------------------------------------------------------------- loop [109] 100.0% [117] 1168(1.4%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:177:29 for-loop [130] 44.7% argmin [132] 37.2% loop [131] 18.2% -------------------------------------------------------------------------- iterate-egraph!7 [104] 100.0% [118] 692(0.9%) 0(0.0%) map-enodes ...ie/develop/src/core/egraph.rkt:140:0 loop [70] 100.0% -------------------------------------------------------------------------- *simplify-rules* [110] 100.0% [119] 302(0.4%) 0(0.0%) for-loop ...ies/herbie/develop/src/common.rkt:79:9 ormap [133] 100.0% -------------------------------------------------------------------------- compile-forms31 [108] 100.0% [120] 276(0.3%) 0(0.0%) loop! (unknown source) for-loop [148] 100.0% -------------------------------------------------------------------------- expand-capturing-lifts [106] 100.0% [121] 272(0.3%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [129] 100.0% -------------------------------------------------------------------------- mk-egraph [112] 100.0% [122] 214(0.3%) 0(0.0%) mk-enode! ...bie/develop/src/core/egraph.rkt:102:0 new-enode [134] 100.0% -------------------------------------------------------------------------- for-loop [123] 45.6% one-iter [113] 54.4% [123] 13336(16.5%) 4850(6.0%) for-loop ...ie/develop/src/core/simplify.rkt:76:12 for-loop [123] 45.6% match-e [135] 31.0% ??? [145] 0.8% -------------------------------------------------------------------------- one-iter [113] 100.0% [124] 10888(13.5%) 488(0.6%) for-loop ...ie/develop/src/core/simplify.rkt:113:2 for-loop [136] 73.2% match-e [135] 13.2% set [182] 5.2% custom-set-intersect [139] 3.9% -------------------------------------------------------------------------- bfmul [114] 42.8% bf [91] 57.2% [125] 8840(10.9%) 8840(10.9%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 -------------------------------------------------------------------------- lambda-clause-expander [115] 17.6% for-loop [148] 82.4% [126] 3360(4.2%) 0(0.0%) finish-bodys (unknown source) for-loop [148] 100.0% -------------------------------------------------------------------------- bfmul [114] 34.7% bf [91] 65.3% [127] 2494(3.1%) 2494(3.1%) ??? /home/p92/racket/collects/ffi/unsafe.rkt:898:4 -------------------------------------------------------------------------- dispatch-transformer41 [116] 100.0% [128] 1250(1.5%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [137] 82.7% loop [181] 17.3% -------------------------------------------------------------------------- expand-id-application-form17 [191] 29.0% expand-identifier [14] 34.6% expand-implicit [121] 36.5% [129] 746(0.9%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [138] 100.0% -------------------------------------------------------------------------- for-loop [117] 100.0% [130] 522(0.6%) 262(0.3%) for-loop ...e/develop/src/core/simplify.rkt:164:13 for-loop [143] 49.8% -------------------------------------------------------------------------- for-loop [117] 41.2% baseline-error [13] 58.8% [131] 514(0.6%) 0(0.0%) loop .../p92/racket/collects/racket/list.rkt:751:4 ??? [142] 58.8% expression-cost [140] 41.2% -------------------------------------------------------------------------- for-loop [117] 100.0% [132] 434(0.5%) 0(0.0%) argmin ...92/racket/collects/racket/list.rkt:765:0 expression-cost [140] 50.2% for-loop [144] 49.8% -------------------------------------------------------------------------- for-loop [119] 100.0% [133] 302(0.4%) 0(0.0%) ormap ...et/collects/racket/private/map.rkt:141:13 flag-set? [141] 100.0% -------------------------------------------------------------------------- mk-enode! [122] 100.0% [134] 214(0.3%) 0(0.0%) new-enode ...erbie/develop/src/core/enode.rkt:95:0 type-of-enode-expr [146] 100.0% -------------------------------------------------------------------------- for-loop [160] 7.8% for-loop [124] 9.5% for-loop [123] 82.7% [135] 9712(12.0%) 3910(4.8%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [147] 57.9% ??? [41] 3.1% custom-in-set [155] 2.2% -------------------------------------------------------------------------- for-loop [124] 100.0% [136] 7966(9.8%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:98:4 merge-egraph-nodes! [149] 52.5% loop! [169] 44.6% substitute-e [154] 2.9% -------------------------------------------------------------------------- apply-transformer52 [128] 100.0% [137] 1034(1.3%) 238(0.3%) apply-transformer-in-context (unknown source) ??? [150] 53.0% parse-app [153] 24.0% -------------------------------------------------------------------------- resolve+shift28 [129] 100.0% [138] 746(0.9%) 0(0.0%) fallback-loop (unknown source) for-loop [148] 100.0% -------------------------------------------------------------------------- for-loop [124] 100.0% [139] 430(0.5%) 0(0.0%) custom-set-intersect ...rivate/set-types.rkt:195:0 for-loop [151] 100.0% -------------------------------------------------------------------------- loop [131] 49.3% argmin [132] 50.7% [140] 430(0.5%) 0(0.0%) expression-cost .../develop/src/programs.rkt:168:0 compile [152] 100.0% -------------------------------------------------------------------------- ormap [133] 100.0% [141] 302(0.4%) 0(0.0%) flag-set? ...es/herbie/develop/src/config.rkt:31:0 return/no-unsupplied [222] 100.0% -------------------------------------------------------------------------- loop [131] 100.0% [142] 302(0.4%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:232:27 eval-errors [71] 100.0% -------------------------------------------------------------------------- for-loop [130] 100.0% [143] 260(0.3%) 260(0.3%) for-loop ...e/develop/src/core/simplify.rkt:167:37 -------------------------------------------------------------------------- argmin [132] 100.0% [144] 216(0.3%) 216(0.3%) for-loop .../herbie/develop/src/programs.rkt:169:2 -------------------------------------------------------------------------- for-loop [123] 100.0% [145] 214(0.3%) 0(0.0%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 for-loop [156] 100.0% -------------------------------------------------------------------------- new-enode [134] 100.0% [146] 214(0.3%) 0(0.0%) type-of-enode-expr ...elop/src/core/enode.rkt:68:0 table-ref [193] 100.0% -------------------------------------------------------------------------- match-e [135] 100.0% [147] 6050(7.5%) 4218(5.2%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [160] 19.5% list-cartesian-product [161] 9.4% loop [166] 3.6% -------------------------------------------------------------------------- fallback-loop [138] 3.5% loop! [120] 5.5% for-loop [148] 6.9% compile-forms31 [108] 21.6% finish-bodys [126] 62.5% [148] 4984(6.2%) 2096(2.6%) for-loop (unknown source) finish-bodys [126] 51.3% for-loop [148] 6.9% loop [181] 5.3% make-module-use-to-linklet [167] 4.3% syntax-e [6] 4.1% dispatch-transformer41 [116] 0.8% expand-identifier [14] 0.4% -------------------------------------------------------------------------- for-loop [159] 8.1% for-loop [136] 91.9% [149] 4182(5.2%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:153:0 update-leader! [158] 54.1% for-loop [159] 40.4% enode-merge! [165] 5.5% -------------------------------------------------------------------------- apply-transformer-in-context [137]100.0% [150] 548(0.7%) 260(0.3%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [163] 52.6% -------------------------------------------------------------------------- custom-set-intersect [139] 100.0% [151] 430(0.5%) 216(0.3%) for-loop ...cts/racket/private/set-types.rkt:207:3 for-loop [168] 49.8% -------------------------------------------------------------------------- expression-cost [140] 100.0% [152] 430(0.5%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:145:0 hash-ref! [157] 100.0% -------------------------------------------------------------------------- apply-transformer-in-context [137]100.0% [153] 248(0.3%) 248(0.3%) parse-app ...collects/racket/private/kw.rkt:1105:2 -------------------------------------------------------------------------- for-loop [164] 50.0% for-loop [136] 50.0% [154] 234(0.3%) 0(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 for-loop [164] 50.0% variable? [162] 50.0% -------------------------------------------------------------------------- match-e [135] 100.0% [155] 214(0.3%) 214(0.3%) custom-in-set ...acket/private/set-types.rkt:577:0 -------------------------------------------------------------------------- ??? [145] 100.0% [156] 214(0.3%) 214(0.3%) for-loop ...erbie/develop/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- taylor-sqrt [36] 1.6% ??? [180] 3.6% loop [70] 3.9% for-loop [22] 4.6% ??? [174] 4.8% compile [152] 5.9% for-loop [21] 6.0% ??? [172] 6.6% localize-error [37] 6.8% loop [18] 11.0% ??? [89] 13.2% first-nonzero-exp [45] 14.6% ??? [171] 14.7% [157] 4502(5.6%) 430(0.5%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [171] 25.7% simplify [170] 22.8% parse-loop80 [199] 10.7% ??? [172] 6.6% ??? [7] 6.0% ??? [174] 4.8% ??? [8] 4.6% ??? [180] 3.6% taylor-invert [9] 3.5% taylor [29] 3.1% -------------------------------------------------------------------------- merge-egraph-nodes! [149] 100.0% [158] 2434(3.0%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:218:0 for-loop [173] 59.7% for-loop [175] 31.0% make-sequence [179] 9.3% -------------------------------------------------------------------------- merge-egraph-nodes! [149] 100.0% [159] 1746(2.2%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:201:10 loop! [169] 77.3% merge-egraph-nodes! [149] 22.7% -------------------------------------------------------------------------- for-loop [147] 100.0% [160] 1426(1.8%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [135] 100.0% -------------------------------------------------------------------------- list-cartesian-product [161] 32.3% for-loop [147] 67.7% [161] 684(0.8%) 212(0.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [176] 52.2% list-cartesian-product [161] 32.3% -------------------------------------------------------------------------- substitute-e [154] 41.5% for-loop [68] 58.5% [162] 564(0.7%) 330(0.4%) variable? ...e/develop/src/syntax/syntax.rkt:715:0 ??? [41] 41.5% -------------------------------------------------------------------------- ??? [150] 100.0% [163] 288(0.4%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [177] 100.0% -------------------------------------------------------------------------- substitute-e [154] 100.0% [164] 234(0.3%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:80:24 substitute-e [154] 100.0% -------------------------------------------------------------------------- merge-egraph-nodes! [149] 100.0% [165] 232(0.3%) 0(0.0%) enode-merge! ...e/develop/src/core/enode.rkt:127:0 adopt-enode! [178] 100.0% -------------------------------------------------------------------------- for-loop [147] 100.0% [166] 216(0.3%) 216(0.3%) loop ...2/racket/collects/racket/function.rkt:53:6 -------------------------------------------------------------------------- for-loop [148] 100.0% [167] 214(0.3%) 214(0.3%) make-module-use-to-linklet (unknown source) -------------------------------------------------------------------------- for-loop [151] 100.0% [168] 214(0.3%) 214(0.3%) for-loop ...cts/racket/private/set-types.rkt:201:4 -------------------------------------------------------------------------- for-loop [159] 19.4% loop [70] 34.3% for-loop [136] 46.3% [169] 5066(6.3%) 818(1.0%) loop! ...s/herbie/develop/src/core/enode.rkt:190:2 loop [70] 34.3% set [182] 28.0% custom-set-union [184] 27.2% update-en-expr [216] 2.4% -------------------------------------------------------------------------- approximate9 [4] 6.7% taylor-invert [9] 7.1% loop [70] 7.2% hash-ref! [157] 79.1% [170] 3848(4.8%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f46 [183] 52.7% parse-loop80 [199] 21.4% simplify* [203] 18.7% debug-print [186] 7.2% -------------------------------------------------------------------------- hash-ref! [157] 100.0% [171] 2514(3.1%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:68:15 hash-ref! [157] 57.9% ??? [89] 42.1% -------------------------------------------------------------------------- hash-ref! [157] 100.0% [172] 1798(2.2%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:45:15 hash-ref! [157] 100.0% -------------------------------------------------------------------------- update-leader! [158] 100.0% [173] 1454(1.8%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:223:6 for-loop [185] 100.0% -------------------------------------------------------------------------- hash-ref! [157] 100.0% [174] 1264(1.6%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:343:33 hash-ref! 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[158] 100.0% [179] 226(0.3%) 226(0.3%) make-sequence ...ects/racket/private/for.rkt:528:2 -------------------------------------------------------------------------- hash-ref! [157] 100.0% [180] 218(0.3%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:153:5 hash-ref! [157] 100.0% -------------------------------------------------------------------------- syntax->list [177] 2.6% apply-transformer52 [128] 3.0% lambda-clause-expander [115] 16.3% for-loop [148] 19.7% syntax-e/no-taint [19] 58.4% [181] 3644(4.5%) 0(0.0%) loop (unknown source) gf [188] 58.4% dispatch-transformer41 [116] 16.3% expand-id-application-form17 [191] 13.8% core-form-sym [198] 5.9% syntax-e [6] 5.6% -------------------------------------------------------------------------- for-loop [124] 17.7% loop! [169] 82.3% [182] 3190(3.9%) 2912(3.6%) set ...collects/racket/private/set-types.rkt:981:0 for-loop [194] 8.7% -------------------------------------------------------------------------- f46 [183] 4.2% eval-prog [72] 4.2% composed [192] 4.5% append-map [11] 9.4% get-final-combination [5] 11.0% map [187] 20.2% simplify [170] 46.5% [183] 2518(3.1%) 262(0.3%) f46 ...t/collects/racket/match/compiler.rkt:507:40 map [187] 50.1% append-map [11] 13.9% sindices->spoints [196] 11.0% temp68_2 [78] 8.6% composed [192] 4.5% f46 [183] 4.2% table-ref [193] 4.2% -------------------------------------------------------------------------- adopt-enode! [178] 14.4% loop! [169] 85.6% [184] 1610(2.0%) 240(0.3%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [190] 70.7% for-loop [197] 14.4% -------------------------------------------------------------------------- for-loop [173] 100.0% [185] 1454(1.8%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:224:8 hash-update! [189] 100.0% -------------------------------------------------------------------------- simplify [170] 100.0% [186] 276(0.3%) 0(0.0%) debug-print .../herbie/develop/src/debug.rkt:107:0 ??? [195] 100.0% -------------------------------------------------------------------------- taylor [29] 6.5% loop [62] 7.1% f46 [183] 32.4% for-loop [17] 54.1% [187] 4168(5.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:35:13 loop [70] 53.9% f46 [183] 14.3% make-multiplication-node [204] 9.6% ??? [79] 7.2% taylor [29] 6.5% simplify* [203] 5.1% parse-loop80 [199] 3.4% -------------------------------------------------------------------------- loop [181] 100.0% [188] 2428(3.0%) 288(0.4%) gf (unknown source) propagation-apply [201] 58.6% propagation-merge [208] 10.4% propagation-apply-shifted [209] 10.2% cache-or-reuse-hash [210] 8.9% -------------------------------------------------------------------------- for-loop [185] 100.0% [189] 1454(1.8%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? 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[157] 30.2% simplify [170] 51.8% [199] 1590(2.0%) 0(0.0%) parse-loop80 ...s/racket/match/compiler.rkt:418:15 temp68_2 [78] 69.8% loop [70] 16.6% loop [215] 13.6% -------------------------------------------------------------------------- hash-update! [189] 100.0% [200] 1454(1.8%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:226:24 for-loop [212] 100.0% -------------------------------------------------------------------------- gf [188] 100.0% [201] 1424(1.8%) 1424(1.8%) propagation-apply (unknown source) -------------------------------------------------------------------------- for-loop [190] 100.0% [202] 1138(1.4%) 1138(1.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- map [187] 22.7% simplify [170] 77.3% [203] 932(1.2%) 676(0.8%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 return/no-unsupplied [222] 27.5% -------------------------------------------------------------------------- map [187] 100.0% [204] 590(0.7%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:238:0 make-multiplication-subnode [213] 100.0% -------------------------------------------------------------------------- expand-id-application-form17 [191]100.0% [205] 288(0.4%) 288(0.4%) binding-lookup50 (unknown source) -------------------------------------------------------------------------- ??? 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[200] 100.0% [212] 1454(1.8%) 1240(1.5%) for-loop ...bie/develop/src/core/egraph.rkt:227:26 update-en-expr [216] 14.7% -------------------------------------------------------------------------- make-multiplication-node [204] 100.0% [213] 590(0.7%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:248:0 for-loop [217] 51.5% group-by61 [218] 48.5% -------------------------------------------------------------------------- for-loop [207] 100.0% [214] 276(0.3%) 0(0.0%) binary-search-floats ...src/core/regimes.rkt:158:0 pred [219] 100.0% -------------------------------------------------------------------------- parse-loop80 [199] 16.7% loop [215] 83.3% [215] 216(0.3%) 216(0.3%) loop ...cket/collects/racket/private/map.rkt:54:19 loop [215] 83.3% -------------------------------------------------------------------------- for-loop [212] 46.7% loop! [169] 53.3% [216] 458(0.6%) 214(0.3%) update-en-expr ...evelop/src/core/egraph.rkt:212:0 for-loop [221] 53.3% -------------------------------------------------------------------------- make-multiplication-subnode [213] 100.0% [217] 304(0.4%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:250:3 mterm->expr [220] 100.0% -------------------------------------------------------------------------- make-multiplication-subnode [213] 100.0% [218] 286(0.4%) 286(0.4%) group-by61 ...acket/collects/racket/list.rkt:771:0 -------------------------------------------------------------------------- binary-search-floats [214] 100.0% [219] 276(0.3%) 0(0.0%) pred .../herbie/develop/src/core/regimes.rkt:185:4 eval-prog [72] 100.0% -------------------------------------------------------------------------- for-loop [217] 100.0% [220] 304(0.4%) 0(0.0%) mterm->expr ...e/develop/src/core/reduce.rkt:278:0 return/no-unsupplied [222] 100.0% -------------------------------------------------------------------------- update-en-expr [216] 100.0% [221] 244(0.3%) 244(0.3%) for-loop ...rbie/develop/src/core/egraph.rkt:214:6 -------------------------------------------------------------------------- simplify* [203] 5.6% ulp-difference [86] 6.5% flag-set? [141] 6.6% mterm->expr [220] 6.7% ->flonum [97] 25.3% ??? [98] 49.3% [222] 4568(5.6%) 2616(3.2%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [223] 42.7% -------------------------------------------------------------------------- return/no-unsupplied [222] 100.0% [223] 1952(2.4%) 1952(2.4%) filter ...t/collects/racket/private/list.rkt:256:2 --------------------------------------------------------------------------