Profiling results ----------------- Total cpu time observed: 234326ms (out of 236572ms) Number of samples taken: 996 (once every 235ms) (Hiding functions with self<1.0% and local<2.0%: 19 of 212 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [56] 100.0% [1] 219776(93.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% -------------------------------------------------------------------------- ??? [56] 100.0% [2] 139196(59.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [16] 65.9% finalize-table! [18] 29.9% loop [65] 2.5% get-final-combination [27] 1.4% setup-prog [29] 0.3% -------------------------------------------------------------------------- simplify-alt [38] 0.5% loop [121] 2.2% ??? [56] 97.3% [3] 85840(36.6%) 188(0.1%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 58.2% for-loop [21] 34.7% iterate-egraph!5 [31] 6.9% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [4] 29894(12.8%) 200(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 99.9% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [5] 29870(12.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [20] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [6] 21906(9.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [22] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [7] 16950(7.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [23] 98.7% -------------------------------------------------------------------------- map [97] 26.1% f6 [149] 73.9% [8] 4146(1.8%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [24] 89.5% simplify [33] 10.5% -------------------------------------------------------------------------- post-process [32] 5.6% loop [121] 94.4% [9] 3980(1.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [17] 100.0% -------------------------------------------------------------------------- f6 [149] 33.2% map [97] 66.8% [10] 3814(1.6%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [24] 61.0% simplify [33] 39.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [11] 3368(1.4%) 444(0.2%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [121] 74.8% hash-ref! [137] 12.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [12] 2918(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [25] 68.1% hash-ref! [137] 31.9% -------------------------------------------------------------------------- f6 [149] 100.0% [13] 2846(1.2%) 1742(0.7%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [28] 38.8% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [14] 2190(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [26] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 99.7% [15] 220394(94.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [56] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 91744(39.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [30] 100.0% -------------------------------------------------------------------------- completely-simplify-alt [9] 7.4% simplify [3] 92.6% [17] 53972(23.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [31] 96.6% loop [36] 3.4% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 41578(17.7%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [32] 100.0% -------------------------------------------------------------------------- ??? [4] 100.0% [19] 29894(12.8%) 440(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [137] 93.0% ??? [35] 5.4% simplify [33] 0.7% -------------------------------------------------------------------------- ??? [5] 100.0% [20] 29870(12.7%) 530(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [137] 97.7% simplify [33] 1.6% -------------------------------------------------------------------------- simplify [3] 100.0% [21] 29758(12.7%) 422(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [31] 91.3% loop [36] 7.2% -------------------------------------------------------------------------- ??? [6] 100.0% [22] 21906(9.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [137] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [23] 16730(7.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [34] 100.0% -------------------------------------------------------------------------- taylor-invert [10] 38.6% taylor-quotient [8] 61.4% [24] 6038(2.6%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [137] 100.0% -------------------------------------------------------------------------- ??? [12] 100.0% [25] 2296(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [137] 100.0% -------------------------------------------------------------------------- ??? [14] 100.0% [26] 2190(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [112] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [27] 1908(0.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [37] 100.0% -------------------------------------------------------------------------- combine-mterms [13] 100.0% [28] 1104(0.5%) 660(0.3%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [137] 40.2% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [29] 438(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [38] 100.0% -------------------------------------------------------------------------- for-loop [16] 100.0% [30] 91744(39.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [39] 90.3% gen-series! [42] 7.6% finalize-iter! [45] 1.6% gen-rewrites! [46] 0.2% -------------------------------------------------------------------------- simplify [3] 6.9% for-loop [21] 31.9% simplify-expr [17] 61.2% [31] 85222(36.4%) 200(0.1%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [40] 95.8% map-enodes [44] 3.9% -------------------------------------------------------------------------- finalize-table! [18] 100.0% [32] 41578(17.7%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [41] 89.4% loop [121] 10.1% completely-simplify-alt [9] 0.5% -------------------------------------------------------------------------- for-loop [19] 0.5% taylor-quotient [8] 1.1% loop [121] 1.6% for-loop [20] 2.9% taylor-invert [10] 3.8% hash-ref! [137] 89.5% [33] 39094(16.7%) 864(0.4%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [149] 77.5% debug-print [177] 8.2% simplify-node [113] 4.6% debug7 [178] 3.7% parse-loop12 [112] 3.2% -------------------------------------------------------------------------- for-loop [23] 100.0% [34] 16730(7.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [137] 100.0% -------------------------------------------------------------------------- ??? [150] 4.9% for-loop [19] 95.1% [35] 13278(5.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [137] 100.0% -------------------------------------------------------------------------- simplify-expr [17] 46.0% for-loop [21] 54.0% [36] 3988(1.7%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [43] 100.0% -------------------------------------------------------------------------- get-final-combination [27] 100.0% [37] 1908(0.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [121] 100.0% -------------------------------------------------------------------------- setup-prog [29] 100.0% [38] 438(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------- run-iter! [30] 100.0% [39] 82874(35.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [47] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [40] 81664(34.9%) 2368(1.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [48] 49.4% loop [50] 45.9% apply-match [58] 0.8% -------------------------------------------------------------------------- post-process [32] 100.0% [41] 37170(15.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [49] 100.0% -------------------------------------------------------------------------- run-iter! [30] 100.0% [42] 6942(3.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [51] 100.0% -------------------------------------------------------------------------- loop [36] 100.0% [43] 3988(1.7%) 222(0.1%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [52] 94.4% -------------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [44] 3358(1.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [121] 86.8% hash-keys [54] 13.2% -------------------------------------------------------------------------- run-iter! [30] 100.0% [45] 1486(0.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [53] 100.0% -------------------------------------------------------------------------- run-iter! [30] 100.0% [46] 200(0.1%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [55] 100.0% -------------------------------------------------------------------------- simplify! [39] 99.5% [47] 83294(35.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [56] 100.0% -------------------------------------------------------------------------- for-loop [48] 49.2% one-iter [40] 50.8% [48] 40346(17.2%) 7212(3.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [48] 49.2% match-e [67] 40.3% ??? [101] 0.8% -------------------------------------------------------------------------- parse-loop12 [112] 0.5% append-map [49] 2.4% simplify-node [113] 6.2% f6 [149] 6.7% for-loop [41] 84.1% [49] 38512(16.4%) 1906(0.8%) append-map ...acket/collects/racket/list.rkt:565:2 loop [121] 46.9% taylor-alt [57] 37.4% parse-loop12 [112] 6.6% f6 [149] 4.0% append-map [49] 2.4% free-variables [179] 0.8% -------------------------------------------------------------------------- one-iter [40] 100.0% [50] 37466(16.0%) 602(0.3%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [58] 98.4% -------------------------------------------------------------------------- gen-series! [42] 100.0% [51] 6942(3.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [57] 100.0% -------------------------------------------------------------------------- pass [43] 100.0% [52] 3766(1.6%) 222(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [59] 43.9% for-loop [61] 34.0% loop [62] 16.2% -------------------------------------------------------------------------- debug7 [178] 22.0% finalize-iter! [45] 78.0% [53] 1904(0.8%) 418(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [60] 78.0% -------------------------------------------------------------------------- map-enodes [44] 100.0% [54] 442(0.2%) 0(0.0%) hash-keys .../collects/racket/private/hash.rkt:2:2 loop [63] 100.0% -------------------------------------------------------------------------- gen-rewrites! [46] 100.0% [55] 200(0.1%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [64] 100.0% -------------------------------------------------------------------------- for-loop [47] 12.7% run [15] 42.4% [56] 231692(98.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.1% run-improve58 [2] 24.9% loop [65] 20.1% simplify [3] 12.8% -------------------------------------------------------------------------- for-loop [51] 15.7% append-map [49] 37.4% loop [121] 46.8% [57] 44112(18.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [66] 100.0% -------------------------------------------------------------------------- one-iter [40] 1.7% loop [50] 98.3% [58] 37510(16.0%) 1246(0.5%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [76] 32.2% match-e [67] 23.2% for-loop [68] 13.2% loop! [129] 11.5% substitute-e [77] 9.9% mk-enode! [89] 5.0% reduce-to-single! [71] 1.1% update-leader! [87] 0.6% -------------------------------------------------------------------------- for-loop [52] 100.0% [59] 1654(0.7%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [69] 100.0% -------------------------------------------------------------------------- ??? [53] 100.0% [60] 1486(0.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [70] 100.0% -------------------------------------------------------------------------- for-loop [52] 100.0% [61] 1280(0.5%) 1280(0.5%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [52] 100.0% [62] 610(0.3%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [69] 100.0% -------------------------------------------------------------------------- hash-keys [54] 4.4% loop [63] 95.6% [63] 442(0.2%) 442(0.2%) loop ...acket/collects/racket/private/hash.rkt:3:4 loop [63] 95.6% -------------------------------------------------------------------------- for-loop [55] 100.0% [64] 200(0.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [72] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 3.7% ??? [56] 96.3% [65] 95404(40.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [73] 49.6% make-exacts* [83] 36.1% loop [85] 13.7% for-loop [80] 0.6% -------------------------------------------------------------------------- taylor-alt [57] 100.0% [66] 44112(18.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [74] 100.0% -------------------------------------------------------------------------- apply-match [58] 14.4% for-loop [86] 18.3% for-loop [48] 67.3% [67] 41188(17.6%) 17392(7.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [75] 48.6% for-loop [86] 8.3% list-cartesian-product [88] 3.8% loop [121] 1.2% curry* [180] 1.0% -------------------------------------------------------------------------- apply-match [58] 100.0% [68] 4938(2.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [129] 48.0% merge-egraph-nodes! [76] 25.9% substitute-e [77] 17.5% mk-enode! [89] 8.6% -------------------------------------------------------------------------- loop [62] 26.9% argmin [59] 73.1% [69] 2264(1.0%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [78] 100.0% -------------------------------------------------------------------------- for-loop [60] 100.0% [70] 1486(0.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [79] 100.0% -------------------------------------------------------------------------- apply-match [58] 100.0% [71] 400(0.2%) 200(0.1%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [81] 50.0% -------------------------------------------------------------------------- ??? [64] 20.0% matcher [96] 80.0% [72] 200(0.1%) 200(0.1%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [82] 80.0% -------------------------------------------------------------------------- loop [65] 100.0% [73] 47282(20.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [85] 50.0% make-exacts* [83] 44.3% eval-prog [100] 5.7% -------------------------------------------------------------------------- for-loop [66] 49.8% location-do [74] 50.2% [74] 44112(18.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [74] 50.2% approximate9 [84] 49.8% -------------------------------------------------------------------------- match-e [67] 100.0% [75] 24010(10.2%) 8776(3.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [86] 46.3% list-cartesian-product [88] 12.1% loop [121] 5.2% foldl [133] 2.7% curry* [180] 2.2% -------------------------------------------------------------------------- for-loop [91] 2.3% merge-egraph-nodes! [76] 7.1% for-loop [68] 8.8% apply-match [58] 81.8% [76] 13354(5.7%) 428(0.2%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [87] 58.1% loop! [129] 12.8% merge-egraph-nodes! [76] 7.1% for-loop [91] 6.9% for-loop [92] 6.4% enode-merge! [93] 5.5% -------------------------------------------------------------------------- substitute-e [77] 12.9% for-loop [68] 16.0% apply-match [58] 71.1% [77] 4576(2.0%) 1462(0.6%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [89] 68.1% substitute-e [77] 12.9% -------------------------------------------------------------------------- expression-cost [69] 100.0% [78] 2264(1.0%) 608(0.3%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [137] 73.1% -------------------------------------------------------------------------- atab-add-altn [70] 100.0% [79] 1486(0.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [90] 85.2% for-loop [95] 14.8% -------------------------------------------------------------------------- loop [65] 100.0% [80] 612(0.3%) 214(0.1%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [94] 65.0% -------------------------------------------------------------------------- reduce-to-single! [71] 100.0% [81] 200(0.1%) 200(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------- rewriter [72] 100.0% [82] 200(0.1%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [96] 100.0% -------------------------------------------------------------------------- loop [73] 37.8% loop [65] 62.2% [83] 55368(23.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [121] 50.4% map [97] 46.7% eval-prog [100] 2.9% -------------------------------------------------------------------------- location-do [74] 100.0% [84] 44112(18.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [98] 96.6% f6 [149] 3.4% -------------------------------------------------------------------------- loop [65] 35.6% loop [73] 64.4% [85] 36720(15.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [97] 100.0% -------------------------------------------------------------------------- match-e [67] 27.9% for-loop [75] 72.1% [86] 18170(7.8%) 2146(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [67] 80.0% ??? [101] 9.3% -------------------------------------------------------------------------- apply-match [58] 2.5% merge-egraph-nodes! [76] 97.5% [87] 8724(3.7%) 1694(0.7%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [99] 68.1% make-sequence [107] 5.1% hash-ref! [137] 2.8% update-en-expr [156] 2.3% custom-set-union! [109] 2.3% -------------------------------------------------------------------------- list-cartesian-product [88] 16.2% match-e [67] 29.7% for-loop [75] 54.1% [88] 5958(2.5%) 4062(1.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [102] 26.6% list-cartesian-product [88] 16.2% -------------------------------------------------------------------------- for-loop [68] 7.8% apply-match [58] 34.8% substitute-e [77] 57.4% [89] 5426(2.3%) 3212(1.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [103] 21.2% new-enode [104] 19.6% -------------------------------------------------------------------------- best-and-tied-at-points [79] 100.0% [90] 1266(0.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [105] 80.9% eval-prog [100] 19.1% -------------------------------------------------------------------------- merge-egraph-nodes! [76] 100.0% [91] 1226(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [129] 50.9% merge-egraph-nodes! [76] 49.1% -------------------------------------------------------------------------- merge-egraph-nodes! [76] 100.0% [92] 852(0.4%) 852(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 -------------------------------------------------------------------------- merge-egraph-nodes! [76] 100.0% [93] 838(0.4%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [106] 74.9% custom-set-intersect! [108] 25.1% -------------------------------------------------------------------------- for-loop [80] 100.0% [94] 398(0.2%) 198(0.1%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [110] 50.3% -------------------------------------------------------------------------- best-and-tied-at-points [79] 100.0% [95] 220(0.1%) 220(0.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 -------------------------------------------------------------------------- for-loop [111] 25.0% matcher [96] 25.0% for-loop [82] 50.0% [96] 200(0.1%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 rewriter [72] 50.0% matcher [96] 25.0% for-loop [111] 25.0% -------------------------------------------------------------------------- ??? [115] 0.1% gather-multiplicative-terms [170] 0.2% parse-loop12 [112] 2.3% make-exacts* [83] 26.3% f6 [149] 33.7% loop [85] 37.4% [97] 98170(41.9%) 1082(0.5%) map ...acket/collects/racket/private/map.rkt:21:13 loop [121] 63.8% f6 [149] 19.3% parse-loop12 [112] 9.5% simplify-node [113] 2.6% ??? [128] 1.5% ??? [115] 0.9% taylor [168] 0.7% taylor-invert [10] 0.6% make-multiplication-node [132] 0.3% gather-multiplicative-terms [170] 0.1% taylor-quotient [8] 0.1% ??? [134] 0.0% -------------------------------------------------------------------------- approximate9 [84] 100.0% [98] 42628(18.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [137] 100.0% -------------------------------------------------------------------------- update-leader! [87] 100.0% [99] 5944(2.5%) 200(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [114] 92.9% update-en-expr [156] 3.7% -------------------------------------------------------------------------- errors [90] 5.3% make-exacts* [83] 35.1% loop [73] 59.6% [100] 4536(1.9%) 1106(0.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [137] 55.6% inductor [117] 14.7% ??? [119] 5.3% -------------------------------------------------------------------------- for-loop [48] 27.6% for-loop [86] 72.4% [101] 2344(1.0%) 1302(0.6%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [116] 44.5% -------------------------------------------------------------------------- list-cartesian-product [88] 100.0% [102] 1896(0.8%) 1896(0.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- mk-enode! [89] 100.0% [103] 1150(0.5%) 1150(0.5%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- mk-enode! [89] 100.0% [104] 1064(0.5%) 442(0.2%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [118] 39.7% set [142] 18.8% -------------------------------------------------------------------------- errors [90] 100.0% [105] 1024(0.4%) 400(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [128] 60.9% -------------------------------------------------------------------------- enode-merge! [93] 100.0% [106] 628(0.3%) 202(0.1%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [139] 67.8% -------------------------------------------------------------------------- update-leader! [87] 100.0% [107] 442(0.2%) 442(0.2%) make-sequence ...ects/racket/private/for.rkt:508:2 -------------------------------------------------------------------------- enode-merge! [93] 100.0% [108] 210(0.1%) 210(0.1%) custom-set-intersect! ...ivate/set-types.rkt:270:0 -------------------------------------------------------------------------- update-leader! [87] 100.0% [109] 202(0.1%) 202(0.1%) custom-set-union! ...t/private/set-types.rkt:246:0 -------------------------------------------------------------------------- for-loop [94] 100.0% [110] 200(0.1%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [120] 100.0% -------------------------------------------------------------------------- matcher [96] 100.0% [111] 200(0.1%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [96] 100.0% -------------------------------------------------------------------------- composed [167] 0.9% f6 [149] 1.8% hash-ref! [137] 1.8% simplify [33] 4.7% loop [121] 6.1% for-loop [26] 8.4% append-map [49] 15.1% parse-loop12 [112] 16.8% map [97] 44.3% [112] 24690(10.5%) 12036(5.1%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [112] 16.8% f6 [149] 15.0% loop [121] 14.9% map [97] 11.6% for-loop [123] 8.4% for-loop [124] 2.9% append-map [49] 2.5% make-multiplication-node [132] 1.3% gather-multiplicative-terms [170] 0.5% -------------------------------------------------------------------------- simplify [33] 22.6% map [97] 77.4% [113] 7996(3.4%) 974(0.4%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [49] 63.2% combine-aterms [125] 13.5% f6 [149] 11.1% -------------------------------------------------------------------------- for-loop [99] 100.0% [114] 5522(2.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [122] 100.0% -------------------------------------------------------------------------- loop [121] 7.9% map [97] 92.1% [115] 5068(2.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f6 [149] 87.1% hash-ref! [137] 7.9% taylor [168] 4.0% map [97] 1.0% -------------------------------------------------------------------------- ??? [101] 100.0% [116] 1042(0.4%) 1042(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- eval-prog [100] 26.4% inductor [117] 73.6% [117] 668(0.3%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [117] 73.6% integer->bigfloat [126] 26.4% -------------------------------------------------------------------------- new-enode [104] 100.0% [118] 422(0.2%) 422(0.2%) mutable-set ...racket/private/set-types.rkt:1000:0 -------------------------------------------------------------------------- eval-prog [100] 100.0% [119] 242(0.1%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [127] 100.0% -------------------------------------------------------------------------- sample-double [110] 100.0% [120] 200(0.1%) 200(0.1%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 -------------------------------------------------------------------------- map-enodes [44] 0.1% f6 [149] 0.2% taylor [168] 0.2% make-exacts* [83] 0.3% post-process [32] 0.4% match-e [67] 0.5% extract-alt [37] 0.8% for-loop [75] 0.8% ??? [11] 1.8% parse-loop12 [112] 2.2% loop! [129] 2.8% map [97] 3.0% append-map [49] 11.8% loop [121] 75.0% [121] 132850(56.7%) 1926(0.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [121] 75.0% taylor-alt [57] 11.8% loop! [129] 2.6% ??? [128] 2.4% hash-ref! [137] 1.8% f6 [149] 1.6% parse-loop12 [112] 1.3% simplify [3] 0.8% foldl [133] 0.7% completely-simplify-alt [9] 0.4% simplify [33] 0.4% curried [147] 0.2% for-loop [131] 0.1% make-multiplication-node [132] 0.1% ??? [134] 0.0% ??? [115] 0.0% ->flonum [144] 0.0% ??? [165] 0.0% -------------------------------------------------------------------------- for-loop [114] 100.0% [122] 5522(2.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [130] 100.0% -------------------------------------------------------------------------- parse-loop12 [112] 100.0% [123] 2190(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [137] 100.0% -------------------------------------------------------------------------- parse-loop12 [112] 100.0% [124] 1344(0.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f6 [149] 64.4% make-multiplication-node [132] 35.6% -------------------------------------------------------------------------- simplify-node [113] 100.0% [125] 1082(0.5%) 662(0.3%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [135] 38.8% -------------------------------------------------------------------------- inductor [117] 100.0% [126] 668(0.3%) 668(0.3%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 -------------------------------------------------------------------------- ??? [119] 100.0% [127] 242(0.1%) 242(0.1%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 -------------------------------------------------------------------------- for-loop [105] 0.7% map [97] 1.6% loop [121] 97.7% [128] 89512(38.2%) 4040(1.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [136] 67.4% real->bigfloat [138] 22.8% ??? [176] 4.2% ->flonum [144] 0.2% -------------------------------------------------------------------------- for-loop [91] 4.1% merge-egraph-nodes! [76] 12.4% for-loop [68] 15.9% apply-match [58] 32.5% loop [121] 35.1% [129] 9234(3.9%) 1920(0.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [121] 39.4% custom-set-union [139] 36.6% set [142] 13.0% -------------------------------------------------------------------------- hash-update! [122] 100.0% [130] 5522(2.4%) 422(0.2%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [140] 92.4% -------------------------------------------------------------------------- loop [121] 100.0% [131] 2916(1.2%) 820(0.3%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [143] 65.0% curried [147] 6.9% -------------------------------------------------------------------------- loop [121] 8.5% for-loop [124] 18.5% parse-loop12 [112] 23.4% map [97] 49.5% [132] 2578(1.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [141]100.0% -------------------------------------------------------------------------- for-loop [75] 38.2% loop [121] 61.8% [133] 1686(0.7%) 644(0.3%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [145] 61.8% -------------------------------------------------------------------------- map [97] 50.0% loop [121] 50.0% [134] 480(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [146] 100.0% -------------------------------------------------------------------------- combine-aterms [125] 100.0% [135] 420(0.2%) 220(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [137] 47.6% -------------------------------------------------------------------------- ??? [128] 100.0% [136] 60304(25.7%) 3174(1.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [165] 60.6% bf* [151] 15.5% ...higher-order.rkt:373:33 [152] 14.0% ...higher-order.rkt:369:33 [155] 3.1% bf> [163] 0.8% ??? [160] 0.3% -------------------------------------------------------------------------- for-loop [135] 0.1% for-loop [28] 0.1% for-loop [123] 0.2% ??? [12] 0.5% update-leader! [87] 0.5% ??? [11] 0.5% for-loop [25] 0.7% ??? [115] 0.7% for-loop [34] 1.9% ??? [35] 1.9% eval-prog [100] 2.0% first-nonzero-exp [24] 2.1% for-loop [22] 2.4% compile [78] 3.0% loop [121] 3.4% ??? [150] 5.4% for-loop [20] 10.3% loop [98] 11.5% ??? [148] 18.3% for-loop [19] 34.1% [137] 47494(20.3%) 2502(1.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 35.9% ??? [148] 18.3% ??? [5] 10.6% simplify [33] 7.4% ??? [150] 5.8% f6 [149] 5.4% ??? [11] 4.8% ??? [6] 2.4% ??? [7] 2.0% bigfloat-hash [154] 1.8% ??? [12] 1.1% parse-loop12 [112] 0.8% taylor [168] 0.4% ??? [14] 0.2% -------------------------------------------------------------------------- ??? [128] 100.0% [138] 20406(8.7%) 16846(7.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [183] 17.4% -------------------------------------------------------------------------- adopt-enode! [106] 8.2% loop! [129] 91.8% [139] 5206(2.2%) 1272(0.5%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [153] 58.9% for-loop [158] 16.6% -------------------------------------------------------------------------- ??? [130] 100.0% [140] 5100(2.2%) 3836(1.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [156] 24.8% -------------------------------------------------------------------------- make-multiplication-node [132] 100.0% [141] 2578(1.1%) 200(0.1%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [157] 42.0% compose [172] 25.6% for-loop [161] 24.7% -------------------------------------------------------------------------- new-enode [104] 8.6% loop! [129] 91.4% [142] 2332(1.0%) 2332(1.0%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- for-loop [131] 100.0% [143] 1894(0.8%) 1472(0.6%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [164] 22.3% -------------------------------------------------------------------------- ??? [128] 13.5% loop [121] 86.5% [144] 1642(0.7%) 224(0.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [159] 41.4% ??? [160] 27.0% ??? [182] 17.9% -------------------------------------------------------------------------- foldl [133] 100.0% [145] 1042(0.4%) 1042(0.4%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- ??? [134] 100.0% [146] 480(0.2%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [162] 100.0% -------------------------------------------------------------------------- loop [121] 49.8% for-loop [131] 50.2% [147] 402(0.2%) 402(0.2%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- hash-ref! [137] 100.0% [148] 41564(17.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [137] 100.0% -------------------------------------------------------------------------- simplify-node [113] 0.4% for-loop [124] 0.9% approximate9 [84] 0.9% ??? 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[136] 100.0% [152] 8418(3.6%) 240(0.1%) ...higher-order.rkt:373:33 (unknown source) ??? [166] 89.5% ??? [176] 7.7% -------------------------------------------------------------------------- custom-set-union [139] 100.0% [153] 3068(1.3%) 458(0.2%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [169] 85.1% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [154] 2314(1.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [171] 90.6% bfcanonicalize [173] 9.4% -------------------------------------------------------------------------- ??? [136] 100.0% [155] 1894(0.8%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [176] 75.0% ??? [166] 25.0% -------------------------------------------------------------------------- update-leader! [87] 12.0% for-loop [99] 13.2% for-loop [140] 74.9% [156] 1688(0.7%) 1688(0.7%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- make-multiplication-subnode [141]100.0% [157] 1082(0.5%) 882(0.4%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [174] 18.5% -------------------------------------------------------------------------- custom-set-union [139] 100.0% [158] 866(0.4%) 866(0.4%) for-loop ...cts/racket/private/set-types.rkt:152:2 -------------------------------------------------------------------------- ->flonum [144] 100.0% [159] 680(0.3%) 416(0.2%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [183] 38.8% -------------------------------------------------------------------------- ??? [136] 31.3% ->flonum [144] 68.7% [160] 646(0.3%) 646(0.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- make-multiplication-subnode [141]100.0% [161] 636(0.3%) 636(0.3%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 -------------------------------------------------------------------------- for-loop [146] 100.0% [162] 480(0.2%) 480(0.2%) pattern-match .../herbie/src/core/matcher.rkt:47:0 -------------------------------------------------------------------------- ??? [136] 100.0% [163] 454(0.2%) 0(0.0%) bf> ...th/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [182] 100.0% -------------------------------------------------------------------------- setfindf [143] 100.0% [164] 422(0.2%) 422(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------- loop [121] 0.5% bf* [151] 20.2% ??? [136] 79.3% [165] 46118(19.7%) 1348(0.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [175] 77.7% ??? [182] 17.1% bfsqr [181] 2.3% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [155] 5.9% ...higher-order.rkt:373:33 [152] 94.1% [166] 8004(3.4%) 404(0.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [176] 95.0% -------------------------------------------------------------------------- f6 [149] 100.0% [167] 3296(1.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [149] 86.3% free-variables [179] 6.9% parse-loop12 [112] 6.7% -------------------------------------------------------------------------- ??? [115] 6.2% hash-ref! [137] 13.1% f6 [149] 34.8% map [97] 45.8% [168] 3232(1.4%) 214(0.1%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [177] 40.9% debug7 [178] 39.4% loop [121] 13.1% -------------------------------------------------------------------------- for-loop [153] 100.0% [169] 2610(1.1%) 2610(1.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- gather-multiplicative-terms [170] 4.6% parse-loop12 [112] 4.6% map [97] 18.0% f6 [149] 72.8% [170] 2606(1.1%) 2144(0.9%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [97] 20.8% curry* [180] 9.2% gather-multiplicative-terms [170] 4.6% -------------------------------------------------------------------------- bigfloat-hash [154] 100.0% [171] 2096(0.9%) 2096(0.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 -------------------------------------------------------------------------- make-multiplication-subnode [141] 37.1% f6 [149] 62.9% [172] 1778(0.8%) 1778(0.8%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- bigfloat-hash [154] 100.0% [173] 218(0.1%) 218(0.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- group-by68 [157] 100.0% [174] 200(0.1%) 200(0.1%) hash-update ...cket/private/more-scheme.rkt:356:13 -------------------------------------------------------------------------- ??? [165] 100.0% [175] 35822(15.3%) 26082(11.1%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [183] 27.2% -------------------------------------------------------------------------- ...higher-order.rkt:373:33 [152] 4.8% ...higher-order.rkt:369:33 [155] 10.6% ??? [128] 27.9% ??? [166] 56.6% [176] 13416(5.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [182] 100.0% -------------------------------------------------------------------------- taylor [168] 29.2% simplify [33] 70.8% [177] 4534(1.9%) 644(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [184] 85.8% -------------------------------------------------------------------------- taylor [168] 46.6% simplify [33] 53.4% [178] 2728(1.2%) 1038(0.4%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [186] 31.1% ??? [187] 15.5% ??? [53] 15.3% -------------------------------------------------------------------------- composed [167] 14.3% append-map [49] 85.7% [179] 1590(0.7%) 1590(0.7%) free-variables ...ock/herbie/src/programs.rkt:89:0 -------------------------------------------------------------------------- gather-multiplicative-terms [170] 15.9% match-e [67] 41.6% for-loop [75] 42.4% [180] 1508(0.6%) 458(0.2%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [185] 69.6% -------------------------------------------------------------------------- ??? [165] 100.0% [181] 1058(0.5%) 496(0.2%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [183] 53.1% -------------------------------------------------------------------------- ->flonum [144] 1.3% bf> [163] 2.1% ??? [165] 35.8% ??? [176] 60.8% [182] 22054(9.4%) 10604(4.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [188] 44.5% ??? [189] 7.4% -------------------------------------------------------------------------- ??? [159] 1.9% bfsqr [181] 4.0% real->bigfloat [138] 25.2% bfdiv [175] 69.0% [183] 14126(6.0%) 14126(6.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- debug-print [177] 100.0% [184] 3890(1.7%) 3890(1.7%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- curry* [180] 100.0% [185] 1050(0.4%) 1050(0.4%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- debug7 [178] 100.0% [186] 848(0.4%) 202(0.1%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [190] 76.2% -------------------------------------------------------------------------- debug7 [178] 100.0% [187] 424(0.2%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [191] 100.0% -------------------------------------------------------------------------- ??? [182] 100.0% [188] 9810(4.2%) 4564(1.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [192] 53.5% -------------------------------------------------------------------------- ??? [182] 100.0% [189] 1640(0.7%) 1408(0.6%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [193] 14.1% -------------------------------------------------------------------------- return/no-unsupplied [186] 100.0% [190] 646(0.3%) 646(0.3%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- ??? [187] 100.0% [191] 424(0.2%) 424(0.2%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 -------------------------------------------------------------------------- ??? [188] 100.0% [192] 5246(2.2%) 5246(2.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------- ??? [189] 100.0% [193] 232(0.1%) 232(0.1%) ??? ...lects/racket/contract/private/orc.rkt:73:14 --------------------------------------------------------------------------