Profiling results ----------------- Total cpu time observed: 54898ms (out of 55464ms) Number of samples taken: 481 (once every 114ms) (Hiding functions with self<1.0% and local<2.0%: 14 of 212 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [18] 100.0% [1] 53024(96.6%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% -------------------------------------------------------------------------- loop [159] 1.2% ??? [18] 98.8% [2] 14848(27.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [19] 54.0% simplify-expr [11] 30.2% loop [21] 8.4% for-loop [14] 7.5% -------------------------------------------------------------------------- copying-mergesort [145] 100.0% [3] 3972(7.2%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [147] 100.0% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [4] 3858(7.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:291:23 for-loop [12] 100.0% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [5] 2356(4.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:388:23 for-loop [13] 100.0% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [6] 606(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:479:23 for-loop [15] 100.0% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [7] 278(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:281:26 for-loop [16] 100.0% -------------------------------------------------------------------------- f6 [122] 100.0% [8] 108(0.2%) 0(0.0%) taylor-exp ...ock/herbie/src/core/taylor.rkt:382:0 simplify [153] 100.0% -------------------------------------------------------------------------- f6 [122] 100.0% [9] 102(0.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:308:0 first-nonzero-exp [17] 100.0% -------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [10] 53024(96.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [18] 100.0% -------------------------------------------------------------------------- simplify [2] 100.0% [11] 4488(8.2%) 106(0.2%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [19] 89.7% loop [21] 4.9% debug-print [158] 3.0% -------------------------------------------------------------------------- ??? [4] 100.0% [12] 3858(7.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:294:27 hash-ref! [149] 100.0% -------------------------------------------------------------------------- ??? [5] 100.0% [13] 2356(4.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:392:33 for-loop [20] 100.0% -------------------------------------------------------------------------- simplify [2] 100.0% [14] 1108(2.0%) 180(0.3%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [19] 67.5% ormap [78] 9.0% loop [21] 7.2% -------------------------------------------------------------------------- ??? [6] 100.0% [15] 606(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:483:35 parse-loop12 [157] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [16] 278(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:281:52 ??? [22] 100.0% -------------------------------------------------------------------------- taylor-invert [9] 100.0% [17] 102(0.2%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:256:0 simplify [153] 100.0% -------------------------------------------------------------------------- for-loop [58] 9.2% run [10] 44.1% [18] 54898(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 44.1% run-improve50 [23] 35.9% loop [29] 10.8% simplify [2] 9.2% -------------------------------------------------------------------------- for-loop [14] 5.9% simplify-expr [11] 31.5% simplify [2] 62.7% [19] 12784(23.3%) 514(0.9%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 93.0% map-enodes [26] 3.0% -------------------------------------------------------------------------- for-loop [13] 100.0% [20] 2356(4.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:394:39 hash-ref! [149] 100.0% -------------------------------------------------------------------------- for-loop [14] 5.2% simplify-expr [11] 14.4% simplify [2] 80.4% [21] 1542(2.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [25] 100.0% -------------------------------------------------------------------------- for-loop [16] 100.0% [22] 278(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:284:19 hash-ref! [149] 100.0% -------------------------------------------------------------------------- ??? [18] 100.0% [23] 43246(78.8%) 144(0.3%) run-improve50 ...ock/herbie/src/mainloop.rkt:234:0 for-loop [27] 68.2% get-final-combination [28] 30.9% loop [29] 0.5% -------------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [24] 11890(21.7%) 494(0.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [30] 69.0% loop [31] 19.1% apply-match [36] 5.9% -------------------------------------------------------------------------- loop [21] 100.0% [25] 1542(2.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [32] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [26] 380(0.7%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [159] 73.2% for-loop [165] 26.8% -------------------------------------------------------------------------- run-improve50 [23] 100.0% [27] 29506(53.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:245:8 run-iter! [33] 100.0% -------------------------------------------------------------------------- run-improve50 [23] 100.0% [28] 13364(24.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:260:0 split-table [34] 97.5% extract-alt [39] 2.5% -------------------------------------------------------------------------- run-improve50 [23] 2.0% ??? [18] 98.0% [29] 11884(21.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:159:2 loop [35] 52.1% make-exacts* [44] 45.8% for-loop [40] 1.3% loop [47] 0.8% -------------------------------------------------------------------------- for-loop [30] 46.5% one-iter [24] 53.5% [30] 8206(14.9%) 2646(4.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [30] 46.5% match-e [45] 33.1% ??? [87] 0.8% -------------------------------------------------------------------------- one-iter [24] 100.0% [31] 2272(4.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [36] 100.0% -------------------------------------------------------------------------- pass [25] 100.0% [32] 1542(2.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [37] 68.6% loop [38] 26.2% for-loop [41] 5.2% -------------------------------------------------------------------------- for-loop [27] 100.0% [33] 29506(53.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:215:0 simplify! [42] 51.5% finalize-iter! [43] 27.7% gen-series! [46] 18.6% localize-error [50] 1.3% gen-rewrites! [56] 0.3% -------------------------------------------------------------------------- get-final-combination [28] 100.0% [34] 13034(23.7%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:164:0 f6 [122] 100.0% -------------------------------------------------------------------------- loop [29] 100.0% [35] 6190(11.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:119:2 loop [47] 76.8% make-exacts* [44] 19.6% eval-prog [148] 3.6% -------------------------------------------------------------------------- one-iter [24] 23.6% loop [31] 76.4% [36] 2974(5.4%) 202(0.4%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [49] 36.1% match-e [45] 30.4% loop! [61] 10.8% for-loop [51] 6.6% substitute-e [52] 6.0% reduce-to-single! [55] 3.4% -------------------------------------------------------------------------- for-loop [32] 100.0% [37] 1058(1.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [48] 90.9% expression-cost [57] 9.1% -------------------------------------------------------------------------- for-loop [32] 100.0% [38] 404(0.7%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 for-loop [48] 100.0% -------------------------------------------------------------------------- get-final-combination [28] 100.0% [39] 330(0.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:56:0 loop [159] 54.5% loop [54] 45.5% -------------------------------------------------------------------------- loop [29] 100.0% [40] 160(0.3%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:166:24 for-loop [53] 100.0% -------------------------------------------------------------------------- for-loop [32] 100.0% [41] 80(0.1%) 80(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- run-iter! [33] 100.0% [42] 15202(27.7%) 192(0.3%) simplify! ...tatlock/herbie/src/mainloop.rkt:155:0 for-loop [58] 98.7% -------------------------------------------------------------------------- run-iter! [33] 100.0% [43] 8166(14.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:169:0 ??? [72] 100.0% -------------------------------------------------------------------------- loop [35] 18.3% loop [29] 81.7% [44] 6652(12.1%) 0(0.0%) make-exacts* ...atlock/herbie/src/points.rkt:106:0 map [128] 53.4% loop [159] 44.4% eval-prog [148] 2.2% -------------------------------------------------------------------------- apply-match [36] 8.9% for-loop [74] 24.9% for-loop [30] 66.3% [45] 6340(11.5%) 2640(4.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [60] 32.6% ??? [72] 12.3% for-loop [74] 7.5% list-cartesian-product [75] 4.2% variable? [62] 3.4% custom-in-set [88] 2.0% loop [159] 0.9% -------------------------------------------------------------------------- run-iter! [33] 100.0% [46] 5486(10.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:129:0 for-loop [59] 100.0% -------------------------------------------------------------------------- loop [29] 2.0% loop [35] 98.0% [47] 4850(8.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:109:4 map [128] 100.0% -------------------------------------------------------------------------- loop [38] 29.6% argmin [37] 70.4% [48] 1366(2.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/programs.rkt:197:2 location-do [102] 60.0% ...erbie/src/common.rkt:46:2 [104] 24.3% ??? [64] 15.7% -------------------------------------------------------------------------- apply-match [36] 100.0% [49] 1074(2.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [63] 51.0% loop! [61] 20.7% enode-merge! [65] 19.0% make-sequence [69] 9.3% -------------------------------------------------------------------------- run-iter! [33] 100.0% [50] 384(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [149] 71.9% for-loop [67] 28.1% -------------------------------------------------------------------------- apply-match [36] 100.0% [51] 196(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [61] 100.0% -------------------------------------------------------------------------- substitute-e [52] 30.7% apply-match [36] 69.3% [52] 178(0.3%) 96(0.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [52] 30.7% variable? [62] 15.4% -------------------------------------------------------------------------- for-loop [40] 100.0% [53] 160(0.3%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:167:26 ??? [66] 100.0% -------------------------------------------------------------------------- extract-alt [39] 100.0% [54] 150(0.3%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:135:2 composed [118] 100.0% -------------------------------------------------------------------------- apply-match [36] 100.0% [55] 100(0.2%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [68] 100.0% -------------------------------------------------------------------------- run-iter! [33] 100.0% [56] 96(0.2%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:142:0 for-loop [70] 100.0% -------------------------------------------------------------------------- argmin [37] 100.0% [57] 96(0.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:196:0 compile [71] 100.0% -------------------------------------------------------------------------- simplify! [42] 100.0% [58] 15010(27.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:159:6 ??? [18] 97.7% debug-print [158] 2.3% -------------------------------------------------------------------------- gen-series! [46] 100.0% [59] 5486(10.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:135:7 taylor-alt [73] 100.0% -------------------------------------------------------------------------- match-e [45] 100.0% [60] 2986(5.4%) 556(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [74] 75.6% list-cartesian-product [75] 8.9% -------------------------------------------------------------------------- merge-egraph-nodes! [49] 15.0% apply-match [36] 16.6% for-loop [51] 18.7% loop [159] 49.7% [61] 738(1.3%) 250(0.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [159] 60.5% set [77] 14.2% update-en-expr [80] 11.2% -------------------------------------------------------------------------- substitute-e [52] 14.1% match-e [45] 85.9% [62] 580(1.1%) 0(0.0%) variable? ...ck/herbie/src/syntax/syntax.rkt:529:0 ??? [72] 100.0% -------------------------------------------------------------------------- merge-egraph-nodes! [49] 100.0% [63] 548(1.0%) 194(0.4%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [76] 64.6% -------------------------------------------------------------------------- for-loop [48] 100.0% [64] 214(0.4%) 214(0.4%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 -------------------------------------------------------------------------- merge-egraph-nodes! [49] 100.0% [65] 204(0.4%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [79] 100.0% -------------------------------------------------------------------------- for-loop [53] 100.0% [66] 160(0.3%) 160(0.3%) ??? /home/ztatlock/herbie/src/points.rkt:156:9 -------------------------------------------------------------------------- localize-error [50] 100.0% [67] 108(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:61:10 ormap [78] 100.0% -------------------------------------------------------------------------- reduce-to-single! [55] 100.0% [68] 100(0.2%) 100(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------- merge-egraph-nodes! [49] 100.0% [69] 100(0.2%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:509:2 ??? [81] 100.0% -------------------------------------------------------------------------- gen-rewrites! [56] 100.0% [70] 96(0.2%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:147:11 ??? [82] 100.0% -------------------------------------------------------------------------- expression-cost [57] 100.0% [71] 96(0.2%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:173:0 hash-ref! [149] 100.0% -------------------------------------------------------------------------- f6 [122] 0.9% free-variables [166] 0.9% variable? [62] 5.2% ??? [176] 5.5% match-e [45] 12.8% finalize-iter! [43] 72.3% [72] 11072(20.2%) 1734(3.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [83] 70.5% hash-has-key? [85] 9.6% atab-add-altns [89] 1.8% ??? [90] 1.6% -------------------------------------------------------------------------- for-loop [59] 100.0% [73] 5486(10.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:141:0 for-loop [84] 100.0% -------------------------------------------------------------------------- match-e [45] 27.2% for-loop [60] 72.8% [74] 3030(5.5%) 98(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 92.0% ??? [87] 6.3% -------------------------------------------------------------------------- for-loop [60] 23.2% match-e [45] 34.1% list-cartesian-product [75] 42.6% [75] 706(1.3%) 632(1.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [75] 42.6% for-loop [93] 5.2% -------------------------------------------------------------------------- update-leader! [63] 100.0% [76] 354(0.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [86] 100.0% -------------------------------------------------------------------------- loop! [61] 100.0% [77] 210(0.4%) 210(0.4%) set ...collects/racket/private/set-types.rkt:981:0 -------------------------------------------------------------------------- for-loop [14] 48.1% for-loop [67] 51.9% [78] 208(0.4%) 208(0.4%) ormap ...et/collects/racket/private/map.rkt:105:13 -------------------------------------------------------------------------- enode-merge! [65] 100.0% [79] 204(0.4%) 94(0.2%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [91] 53.9% -------------------------------------------------------------------------- loop! [61] 100.0% [80] 198(0.4%) 198(0.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- make-sequence [69] 100.0% [81] 100(0.2%) 0(0.0%) ??? ...acket/collects/racket/private/for.rkt:429:7 custom-in-set [88] 100.0% -------------------------------------------------------------------------- for-loop [70] 100.0% [82] 96(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:88:0 rewriter [92] 100.0% -------------------------------------------------------------------------- ??? [72] 100.0% [83] 7962(14.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [94] 100.0% -------------------------------------------------------------------------- taylor-alt [73] 100.0% [84] 5486(10.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:143:2 ??? [95] 100.0% -------------------------------------------------------------------------- ??? [72] 100.0% [85] 1224(2.2%) 590(1.1%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [110] 51.8% -------------------------------------------------------------------------- for-loop [76] 100.0% [86] 354(0.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [96] 100.0% -------------------------------------------------------------------------- for-loop [30] 39.2% for-loop [74] 60.8% [87] 316(0.6%) 124(0.2%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [97] 60.8% -------------------------------------------------------------------------- ??? [81] 43.9% match-e [45] 56.1% [88] 228(0.4%) 228(0.4%) custom-in-set ...acket/private/set-types.rkt:577:0 -------------------------------------------------------------------------- ??? [72] 100.0% [89] 204(0.4%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [94] 100.0% -------------------------------------------------------------------------- ??? [72] 100.0% [90] 172(0.3%) 0(0.0%) ??? ...ztatlock/herbie/src/core/alt-table.rkt:54:0 ??? [95] 100.0% -------------------------------------------------------------------------- adopt-enode! [79] 100.0% [91] 110(0.2%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [98] 100.0% -------------------------------------------------------------------------- ??? [82] 25.0% matcher [108] 75.0% [92] 96(0.2%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:127:2 for-loop [100] 75.0% *rules* [99] 25.0% -------------------------------------------------------------------------- list-cartesian-product [75] 100.0% [93] 74(0.1%) 74(0.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- atab-add-altns [89] 2.5% for-loop [83] 97.5% [94] 8166(14.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [101] 98.8% -------------------------------------------------------------------------- ??? [90] 2.1% f6 [122] 30.3% location-do [102] 33.8% for-loop [84] 33.8% [95] 8112(14.8%) 124(0.2%) ??? ...tract/private/arrow-higher-order.rkt:342:33 location-do [102] 46.2% approximate9 [103] 33.8% ??? [176] 9.5% ...erbie/src/common.rkt:46:2 [104] 6.9% best-alt [106] 2.1% -------------------------------------------------------------------------- for-loop [86] 100.0% [96] 354(0.6%) 100(0.2%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [105] 71.8% -------------------------------------------------------------------------- ??? [87] 100.0% [97] 192(0.3%) 192(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- custom-set-union [91] 100.0% [98] 110(0.2%) 110(0.2%) for-loop ...cts/racket/private/set-types.rkt:174:3 -------------------------------------------------------------------------- rewriter [92] 100.0% [99] 96(0.2%) 0(0.0%) *rules* ...tlock/herbie/src/syntax/rules.rkt:411:0 for-loop [107] 100.0% -------------------------------------------------------------------------- rewriter [92] 100.0% [100] 96(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:130:10 matcher [108] 100.0% -------------------------------------------------------------------------- atab-add-altn [94] 100.0% [101] 8064(14.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [123] 97.1% for-loop [114] 2.9% -------------------------------------------------------------------------- for-loop [48] 11.2% location-do [102] 43.7% ??? [95] 45.0% [102] 7308(13.3%) 422(0.8%) location-do ...acket/private/norm-define.rkt:53:83 location-do [102] 43.7% ??? [95] 31.3% ??? [110] 15.8% ??? [187] 1.9% -------------------------------------------------------------------------- ??? [95] 100.0% [103] 5486(10.0%) 84(0.2%) approximate9 ...ck/herbie/src/core/taylor.rkt:12:0 loop [109] 83.6% f6 [122] 12.9% taylor-sqrt [112] 1.9% -------------------------------------------------------------------------- for-loop [48] 37.4% ??? [95] 62.6% [104] 888(1.6%) 206(0.4%) ...erbie/src/common.rkt:46:2 ...e/arr-i.rkt:906:19 ??? [111] 52.3% ??? [115] 24.5% -------------------------------------------------------------------------- hash-update! [96] 100.0% [105] 254(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [113] 100.0% -------------------------------------------------------------------------- ??? [95] 100.0% [106] 172(0.3%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:78:0 argmins [116] 100.0% -------------------------------------------------------------------------- *rules* [99] 100.0% [107] 96(0.2%) 96(0.2%) for-loop /home/ztatlock/herbie/src/common.rkt:93:9 -------------------------------------------------------------------------- matcher [108] 16.7% for-loop [117] 33.3% for-loop [100] 50.0% [108] 96(0.2%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:163:2 rewriter [92] 50.0% for-loop [117] 33.3% matcher [108] 16.7% -------------------------------------------------------------------------- approximate9 [103] 100.0% [109] 4588(8.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:83:4 hash-ref! [149] 100.0% -------------------------------------------------------------------------- hash-has-key? [85] 35.4% location-do [102] 64.6% [110] 1790(3.3%) 878(1.6%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [119] 39.9% ??? [124] 6.3% arrow-higher-order:lnp [195] 4.8% -------------------------------------------------------------------------- for-loop [126] 11.6% ??? [120] 12.7% ...erbie/src/common.rkt:46:2 [104] 75.6% [111] 464(0.8%) 108(0.2%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [120] 51.5% ??? [121] 24.1% ??? [176] 12.7% -------------------------------------------------------------------------- approximate9 [103] 24.9% f6 [122] 75.1% [112] 418(0.8%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:342:0 hash-ref! [149] 100.0% -------------------------------------------------------------------------- ??? [105] 100.0% [113] 254(0.5%) 254(0.5%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 -------------------------------------------------------------------------- best-and-tied-at-points [101] 100.0% [114] 236(0.4%) 236(0.4%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 -------------------------------------------------------------------------- ...erbie/src/common.rkt:46:2 [104]100.0% [115] 218(0.4%) 0(0.0%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 return/no-unsupplied [188] 100.0% -------------------------------------------------------------------------- best-alt [106] 100.0% [116] 172(0.3%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:134:0 composed [118] 100.0% -------------------------------------------------------------------------- matcher [108] 100.0% [117] 96(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:179:21 matcher [108] 100.0% -------------------------------------------------------------------------- loop [54] 18.2% argmins [116] 20.9% f6 [122] 60.8% [118] 822(1.5%) 90(0.2%) composed ...ollects/racket/private/list.rkt:321:16 errors [123] 39.2% f6 [122] 36.7% parse-loop12 [157] 13.1% -------------------------------------------------------------------------- ??? [110] 100.0% [119] 714(1.3%) 520(0.9%) for-loop ...acket/contract/private/list.rkt:743:12 for-loop [125] 15.7% ??? [124] 11.5% -------------------------------------------------------------------------- ??? [111] 100.0% [120] 352(0.6%) 126(0.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [111] 33.5% for-loop [126] 30.7% -------------------------------------------------------------------------- ??? [111] 100.0% [121] 112(0.2%) 112(0.2%) ??? ...ects/racket/contract/private/hash.rkt:222:6 -------------------------------------------------------------------------- composed [118] 0.3% loop [159] 0.9% append-map [162] 0.9% approximate9 [103] 1.5% parse-loop12 [157] 2.1% hash-ref! [149] 2.1% map [128] 4.9% eval-prog [148] 5.8% f6 [122] 6.5% simplify [153] 8.7% split-table [34] 66.2% [122] 17586(32.0%) 512(0.9%) f6 ...et/collects/racket/match/compiler.rkt:507:40 option-on-expr [127] 64.4% map [128] 15.5% f6 [122] 6.5% ??? [95] 5.3% exprs-to-branch-on [131] 1.9% loop [130] 1.8% append-map [162] 1.0% composed [118] 0.7% taylor-sqrt [112] 0.6% ??? [72] 0.3% taylor-exp [8] 0.1% taylor-invert [9] 0.1% loop [159] 0.1% -------------------------------------------------------------------------- loop [159] 1.1% option-on-expr [127] 2.7% composed [118] 3.8% best-and-tied-at-points [101] 91.3% [123] 8578(15.6%) 102(0.2%) errors /home/ztatlock/herbie/src/points.rkt:184:0 for-loop [129] 86.1% eval-prog [148] 12.7% -------------------------------------------------------------------------- for-loop [119] 42.3% ??? [110] 57.7% [124] 194(0.4%) 0(0.0%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [132] 100.0% -------------------------------------------------------------------------- for-loop [119] 100.0% [125] 112(0.2%) 0(0.0%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [133] 100.0% -------------------------------------------------------------------------- ??? [120] 100.0% [126] 108(0.2%) 0(0.0%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [111] 100.0% -------------------------------------------------------------------------- f6 [122] 100.0% [127] 12484(22.7%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:115:0 sort-context-on-expr [134] 90.0% pick-errors [135] 7.4% errors [123] 1.8% loop [159] 0.8% -------------------------------------------------------------------------- parse-loop12 [157] 2.7% f6 [122] 26.2% make-exacts* [44] 29.9% loop [47] 40.8% [128] 11888(21.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 loop [159] 71.1% parse-loop12 [157] 16.6% f6 [122] 10.1% ??? [164] 0.9% make-multiplication-node [137] 0.9% ->flonum [169] 0.4% -------------------------------------------------------------------------- errors [123] 100.0% [129] 7388(13.5%) 510(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:187:4 ??? [164] 86.0% ->flonum [169] 4.4% ulp-difference [138] 1.2% -------------------------------------------------------------------------- f6 [122] 100.0% [130] 624(1.1%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:258:2 hash-ref! [149] 100.0% -------------------------------------------------------------------------- f6 [122] 100.0% [131] 550(1.0%) 0(0.0%) exprs-to-branch-on ...ie/src/core/regimes.rkt:44:0 critical-subexpression [136] 100.0% -------------------------------------------------------------------------- ??? [124] 100.0% [132] 194(0.4%) 194(0.4%) make-keyword-procedure ...ket/private/kw.rkt:260:4 -------------------------------------------------------------------------- for-loop [125] 100.0% [133] 112(0.2%) 112(0.2%) ??? ...ects/racket/contract/private/list.rkt:686:7 -------------------------------------------------------------------------- option-on-expr [127] 100.0% [134] 11232(20.5%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:79:0 ??? [139] 100.0% -------------------------------------------------------------------------- option-on-expr [127] 100.0% [135] 926(1.7%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:187:0 for-loop [140] 100.0% -------------------------------------------------------------------------- exprs-to-branch-on [131] 100.0% [136] 550(1.0%) 0(0.0%) critical-subexpression ...rc/core/regimes.rkt:52:0 for-loop [141] 100.0% -------------------------------------------------------------------------- map [128] 100.0% [137] 108(0.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:219:0 make-multiplication-subnode [142] 100.0% -------------------------------------------------------------------------- for-loop [129] 100.0% [138] 92(0.2%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [182] 100.0% -------------------------------------------------------------------------- sort-context-on-expr [134] 100.0% [139] 11232(20.5%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [143] 86.7% loop [146] 13.3% -------------------------------------------------------------------------- pick-errors [135] 100.0% [140] 926(1.7%) 150(0.3%) for-loop ...lock/herbie/src/core/regimes.rkt:190:4 eval-prog [148] 83.8% -------------------------------------------------------------------------- critical-subexpression [136] 100.0% [141] 550(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:87:19 eval-prog [148] 81.5% ??? [164] 18.5% -------------------------------------------------------------------------- make-multiplication-node [137] 100.0% [142] 108(0.2%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:229:0 for-loop [144] 100.0% -------------------------------------------------------------------------- ??? [139] 100.0% [143] 9740(17.7%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [145] 82.3% loop [146] 17.7% -------------------------------------------------------------------------- make-multiplication-subnode [142] 100.0% [144] 108(0.2%) 108(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:231:3 -------------------------------------------------------------------------- generic-sort/key [143] 44.4% copying-mergesort [145] 55.6% [145] 8020(14.6%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [145] 55.6% loop [146] 32.0% jloop [3] 12.4% -------------------------------------------------------------------------- ??? [139] 20.6% generic-sort/key [143] 23.7% copying-mergesort [145] 55.8% [146] 7260(13.2%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [147] 100.0% -------------------------------------------------------------------------- jloop [3] 35.4% loop [146] 64.6% [147] 11232(20.5%) 406(0.7%) ??? /home/ztatlock/herbie/src/points.rkt:81:27 eval-prog [148] 81.6% ??? [164] 13.7% ->flonum [169] 1.0% -------------------------------------------------------------------------- make-exacts* [44] 1.2% loop [35] 1.9% for-loop [141] 3.8% for-loop [140] 6.5% errors [123] 9.2% ??? [147] 77.4% [148] 11852(21.6%) 7644(13.9%) eval-prog ...tatlock/herbie/src/programs.rkt:146:0 f6 [122] 22.3% ??? [150] 4.4% ??? [151] 2.8% parse-lambda [152] 2.6% ??? [180] 1.7% hash-ref! [149] 0.9% -------------------------------------------------------------------------- compile [71] 0.4% ??? [22] 0.7% simplify* [161] 0.9% for-loop [160] 1.8% eval-prog [148] 1.9% loop [130] 3.2% localize-error [50] 3.3% taylor-sqrt [112] 7.4% ??? [155] 7.8% for-loop [20] 9.1% ??? [154] 18.0% for-loop [12] 20.7% loop [109] 22.1% [149] 5680(10.3%) 294(0.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [153] 28.6% ??? [4] 20.7% ??? [154] 18.0% ??? [5] 9.1% ??? [155] 7.8% f6 [122] 4.8% parse-loop12 [157] 4.1% ??? [6] 1.8% ??? [7] 0.7% -------------------------------------------------------------------------- eval-prog [148] 100.0% [150] 520(0.9%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [156] 100.0% -------------------------------------------------------------------------- eval-prog [148] 100.0% [151] 332(0.6%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:346:33 ??? [178] 100.0% -------------------------------------------------------------------------- eval-prog [148] 100.0% [152] 312(0.6%) 312(0.6%) parse-lambda ...llects/racket/private/kw.rkt:437:2 -------------------------------------------------------------------------- loop [159] 1.9% first-nonzero-exp [17] 1.9% taylor-exp [8] 2.1% hash-ref! [149] 94.1% [153] 5258(9.6%) 90(0.2%) simplify ...atlock/herbie/src/core/reduce.rkt:15:0 f6 [122] 58.2% parse-loop12 [157] 33.8% debug-print [158] 4.4% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [154] 3908(7.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:43:15 hash-ref! [149] 100.0% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [155] 1644(3.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:64:15 hash-ref! [149] 100.0% -------------------------------------------------------------------------- ??? [150] 100.0% [156] 520(0.9%) 520(0.9%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 -------------------------------------------------------------------------- composed [118] 2.3% hash-ref! [149] 5.9% for-loop [15] 8.3% loop [159] 10.3% parse-loop12 [157] 17.1% simplify [153] 19.7% map [128] 36.3% [157] 4668(8.5%) 3266(5.9%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 loop [159] 17.9% parse-loop12 [157] 17.1% f6 [122] 10.3% for-loop [160] 8.3% map [128] 5.4% simplify* [161] 4.2% append-map [162] 2.3% -------------------------------------------------------------------------- simplify-expr [11] 19.2% simplify [153] 32.7% for-loop [58] 48.2% [158] 710(1.3%) 368(0.7%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [163] 48.2% -------------------------------------------------------------------------- make-exacts* [44] 0.1% map-enodes [26] 0.4% f6 [122] 0.7% option-on-expr [127] 0.7% match-e [45] 0.8% extract-alt [39] 1.2% loop! [61] 2.8% map [128] 3.0% parse-loop12 [157] 7.7% loop [159] 82.7% [159] 14602(26.6%) 396(0.7%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [159] 82.7% parse-loop12 [157] 7.2% loop! [61] 2.2% f6 [122] 2.0% simplify [2] 1.2% ??? [164] 1.2% errors [123] 0.7% simplify [153] 0.7% for-loop [165] 0.4% ->flonum [169] 0.1% bf* [177] 0.0% -------------------------------------------------------------------------- parse-loop12 [157] 100.0% [160] 606(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:486:59 hash-ref! [149] 100.0% -------------------------------------------------------------------------- parse-loop12 [157] 100.0% [161] 422(0.8%) 114(0.2%) simplify* ...tlock/herbie/src/core/reduce.rkt:20:0 hash-ref! [149] 44.5% return/no-unsupplied [188] 28.4% -------------------------------------------------------------------------- parse-loop12 [157] 6.6% f6 [122] 93.4% [162] 410(0.7%) 108(0.2%) append-map ...acket/collects/racket/list.rkt:565:2 f6 [122] 81.5% free-variables [166] 12.0% -------------------------------------------------------------------------- debug-print [158] 100.0% [163] 342(0.6%) 342(0.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- for-loop [141] 0.5% map [128] 0.6% ??? [147] 8.2% for-loop [129] 34.0% loop [159] 56.6% [164] 18700(34.1%) 1058(1.9%) ??? /home/ztatlock/herbie/src/programs.rkt:152:4 ??? [167] 71.3% ??? [168] 15.8% ->flonum [169] 6.5% ??? [171] 0.7% -------------------------------------------------------------------------- map-enodes [26] 26.8% loop [159] 73.2% [165] 380(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [170] 46.8% setfindf [172] 29.5% curry* [173] 23.7% -------------------------------------------------------------------------- append-map [162] 100.0% [166] 98(0.2%) 0(0.0%) free-variables ...ock/herbie/src/programs.rkt:98:0 ??? [72] 100.0% -------------------------------------------------------------------------- ??? [164] 100.0% [167] 13328(24.3%) 6032(11.0%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [181] 31.0% ??? [175] 15.7% bf* [177] 4.9% ??? [179] 2.3% ??? [178] 0.8% -------------------------------------------------------------------------- ??? [164] 100.0% [168] 2958(5.4%) 230(0.4%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [174] 92.2% -------------------------------------------------------------------------- map [128] 3.8% ??? [147] 5.0% for-loop [129] 14.2% loop [159] 23.7% ??? [164] 53.3% [169] 2294(4.2%) 96(0.2%) ->flonum .../ztatlock/herbie/src/programs.rkt:34:0 ??? [182] 95.8% -------------------------------------------------------------------------- for-loop [165] 100.0% [170] 178(0.3%) 76(0.1%) eval-const-expr ...k/herbie/src/programs.rkt:164:0 ??? [180] 57.3% -------------------------------------------------------------------------- ??? [164] 100.0% [171] 134(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:145:21 ??? [176] 100.0% -------------------------------------------------------------------------- for-loop [165] 100.0% [172] 112(0.2%) 112(0.2%) setfindf ...e/ztatlock/herbie/src/common.rkt:168:0 -------------------------------------------------------------------------- for-loop [165] 100.0% [173] 90(0.2%) 90(0.2%) curry* ...racket/collects/racket/function.rkt:44:2 -------------------------------------------------------------------------- ??? [168] 100.0% [174] 2728(5.0%) 2028(3.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [192] 25.7% -------------------------------------------------------------------------- ??? [167] 100.0% [175] 2090(3.8%) 526(1.0%) ??? ...tatlock/herbie/src/syntax/syntax.rkt:118:17 ??? [182] 74.8% -------------------------------------------------------------------------- ??? [111] 11.5% ??? [171] 13.1% ??? [95] 75.4% [176] 1024(1.9%) 134(0.2%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ??? [72] 75.4% contract? [185] 11.5% -------------------------------------------------------------------------- loop [159] 12.0% ??? [167] 88.0% [177] 748(1.4%) 110(0.2%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [181] 85.3% -------------------------------------------------------------------------- ??? [167] 24.9% ??? [151] 75.1% [178] 442(0.8%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [183] 100.0% -------------------------------------------------------------------------- ??? [167] 100.0% [179] 304(0.6%) 304(0.6%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 -------------------------------------------------------------------------- eval-const-expr [170] 33.8% eval-prog [148] 66.2% [180] 302(0.6%) 0(0.0%) ??? ...cket/collects/racket/private/kw.rkt:1633:36 unpack242 [184] 100.0% -------------------------------------------------------------------------- bf* [177] 13.4% ??? [167] 86.6% [181] 4772(8.7%) 1864(3.4%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfexp [186] 47.6% bfmul [189] 13.4% -------------------------------------------------------------------------- ulp-difference [138] 2.4% ??? [175] 40.6% ->flonum [169] 57.0% [182] 3854(7.0%) 2654(4.8%) ??? /home/ztatlock/herbie/src/config.rkt:48:0 ??? [187] 22.4% return/no-unsupplied [188] 8.8% -------------------------------------------------------------------------- ??? [178] 100.0% [183] 442(0.8%) 216(0.4%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [190] 51.1% -------------------------------------------------------------------------- ??? [180] 100.0% [184] 302(0.6%) 90(0.2%) unpack242 ...private/arrow-higher-order.rkt:354:44 maybe-cons-kwd [191] 70.2% -------------------------------------------------------------------------- ??? [176] 100.0% [185] 118(0.2%) 118(0.2%) contract? ...acket/contract/private/guts.rkt:109:0 -------------------------------------------------------------------------- ??? [181] 100.0% [186] 2270(4.1%) 1828(3.3%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [192] 19.5% -------------------------------------------------------------------------- location-do [102] 14.0% ??? [182] 86.0% [187] 1002(1.8%) 106(0.2%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [193] 89.4% -------------------------------------------------------------------------- simplify* [161] 17.8% ??? [115] 32.2% ??? [182] 50.0% [188] 676(1.2%) 448(0.8%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [194] 33.7% -------------------------------------------------------------------------- ??? [181] 100.0% [189] 638(1.2%) 416(0.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [192] 34.8% -------------------------------------------------------------------------- ??? [183] 100.0% [190] 226(0.4%) 226(0.4%) ??? ...ects/racket/contract/private/list.rkt:141:5 -------------------------------------------------------------------------- unpack242 [184] 100.0% [191] 212(0.4%) 0(0.0%) maybe-cons-kwd ...ate/arrow-higher-order.rkt:498:0 unsafe-chaperone-procedure [196] 51.9% arrow-higher-order:lnp [195] 48.1% -------------------------------------------------------------------------- bfmul [189] 16.3% bfexp [186] 32.4% real->bigfloat [174] 51.3% [192] 1364(2.5%) 1364(2.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [187] 100.0% [193] 896(1.6%) 788(1.4%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ??? [197] 12.1% -------------------------------------------------------------------------- return/no-unsupplied [188] 100.0% [194] 228(0.4%) 228(0.4%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- ??? [110] 45.7% maybe-cons-kwd [191] 54.3% [195] 188(0.3%) 102(0.2%) arrow-higher-order:lnp ...w-higher-order.rkt:597:7 ??? [198] 45.7% -------------------------------------------------------------------------- maybe-cons-kwd [191] 100.0% [196] 110(0.2%) 110(0.2%) unsafe-chaperone-procedure ...ivate/kw.rkt:1588:11 -------------------------------------------------------------------------- ??? [193] 100.0% [197] 108(0.2%) 108(0.2%) ??? ...ects/racket/contract/private/prop.rkt:256:4 -------------------------------------------------------------------------- arrow-higher-order:lnp [195] 100.0% [198] 86(0.2%) 86(0.2%) ??? ...et/contract/private/arity-checking.rkt:19:2 --------------------------------------------------------------------------