Profiling results ----------------- Total cpu time observed: 114760ms (out of 115980ms) Number of samples taken: 491 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 7 of 194 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [52] 100.0% [1] 109388(95.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% -------------------------------------------------------------------------- ??? [52] 100.0% [2] 66450(57.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [16] 61.1% finalize-table! [18] 34.4% loop [61] 2.3% get-final-combination [27] 1.9% setup-prog [29] 0.3% -------------------------------------------------------------------------- simplify-alt [36] 0.5% loop [136] 3.3% ??? [52] 96.2% [3] 38712(33.7%) 186(0.2%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 50.9% for-loop [19] 41.0% iterate-egraph!5 [31] 7.6% -------------------------------------------------------------------------- hash-ref! [125] 100.0% [4] 10512(9.2%) 226(0.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [20] 97.9% -------------------------------------------------------------------------- hash-ref! [125] 100.0% [5] 7150(6.2%) 222(0.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [21] 99.2% -------------------------------------------------------------------------- hash-ref! [125] 100.0% [6] 5256(4.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [22] 100.0% -------------------------------------------------------------------------- hash-ref! [125] 100.0% [7] 4978(4.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [23] 51.9% hash-ref! [125] 44.0% ??? [109] 4.1% -------------------------------------------------------------------------- loop [136] 100.0% [8] 4490(3.9%) 246(0.2%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [17] 94.5% -------------------------------------------------------------------------- hash-ref! [125] 100.0% [9] 2148(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [25] 100.0% -------------------------------------------------------------------------- map [93] 11.5% f94 [152] 88.5% [10] 1928(1.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [24] 77.1% simplify [142] 22.9% -------------------------------------------------------------------------- hash-ref! [125] 100.0% [11] 1726(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [26] 100.0% -------------------------------------------------------------------------- approximate9 [81] 13.6% f94 [152] 86.4% [12] 1480(1.3%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [24] 100.0% -------------------------------------------------------------------------- f94 [152] 100.0% [13] 644(0.6%) 220(0.2%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [28] 65.8% -------------------------------------------------------------------------- f94 [152] 49.1% map [93] 50.9% [14] 432(0.4%) 0(0.0%) taylor-exp ...ock/herbie/src/core/taylor.rkt:386:0 simplify [142] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [15] 109388(95.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [52] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 40574(35.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [30] 100.0% -------------------------------------------------------------------------- completely-simplify-alt [8] 17.7% simplify [3] 82.3% [17] 23958(20.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [31] 94.7% loop [34] 5.3% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 22880(19.9%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [32] 100.0% -------------------------------------------------------------------------- simplify [3] 100.0% [19] 15876(13.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [31] 92.3% loop [34] 7.7% -------------------------------------------------------------------------- ??? [4] 100.0% [20] 10286(9.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [125] 78.2% ??? [137] 15.7% simplify [142] 6.1% -------------------------------------------------------------------------- ??? [5] 100.0% [21] 7150(6.2%) 412(0.4%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [125] 97.9% -------------------------------------------------------------------------- ??? [6] 100.0% [22] 5256(4.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [33] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [23] 3172(2.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [125] 100.0% -------------------------------------------------------------------------- taylor-quotient [12] 49.9% taylor-invert [10] 50.1% [24] 2966(2.6%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [125] 100.0% -------------------------------------------------------------------------- ??? [9] 100.0% [25] 2148(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [125] 90.7% simplify [142] 9.3% -------------------------------------------------------------------------- ??? [11] 100.0% [26] 1726(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [108] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [27] 1268(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [35] 100.0% -------------------------------------------------------------------------- combine-mterms [13] 100.0% [28] 424(0.4%) 202(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [125] 52.4% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [29] 200(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [36] 100.0% -------------------------------------------------------------------------- for-loop [16] 100.0% [30] 40574(35.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [38] 91.8% gen-series! [42] 4.1% finalize-iter! [43] 3.1% choose-best-alt! [44] 0.5% -------------------------------------------------------------------------- simplify [3] 7.3% for-loop [19] 36.4% simplify-expr [17] 56.3% [31] 40272(35.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [37] 93.6% map-enodes [41] 5.9% debug7 [147] 0.5% -------------------------------------------------------------------------- finalize-table! [18] 100.0% [32] 22880(19.9%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [39] 75.6% loop [136] 21.7% ??? [50] 1.8% -------------------------------------------------------------------------- for-loop [22] 100.0% [33] 5256(4.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [125] 100.0% -------------------------------------------------------------------------- for-loop [19] 48.8% simplify-expr [17] 51.2% [34] 2498(2.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [40] 100.0% -------------------------------------------------------------------------- get-final-combination [27] 100.0% [35] 1268(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [136] 100.0% -------------------------------------------------------------------------- setup-prog [29] 100.0% [36] 200(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [37] 37684(32.8%) 1504(1.3%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [46] 51.3% loop [48] 42.4% apply-match [54] 2.3% -------------------------------------------------------------------------- run-iter! [30] 100.0% [38] 37244(32.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [45] 100.0% -------------------------------------------------------------------------- post-process [32] 100.0% [39] 17286(15.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [47] 100.0% -------------------------------------------------------------------------- loop [34] 100.0% [40] 2498(2.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [49] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [41] 2386(2.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [136] 91.6% for-loop [143] 8.4% -------------------------------------------------------------------------- run-iter! [30] 100.0% [42] 1668(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [51] 100.0% -------------------------------------------------------------------------- run-iter! [30] 100.0% [43] 1260(1.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [50] 100.0% -------------------------------------------------------------------------- run-iter! [30] 100.0% [44] 200(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [50] 100.0% -------------------------------------------------------------------------- simplify! [38] 100.0% [45] 37244(32.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [52] 100.0% -------------------------------------------------------------------------- for-loop [46] 48.9% one-iter [37] 51.1% [46] 19324(16.8%) 5084(4.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [46] 48.9% match-e [63] 36.3% ??? [59] 0.5% -------------------------------------------------------------------------- parse-loop12 [108] 0.1% simplify-node [145] 2.8% append-map [47] 3.5% f94 [152] 6.8% for-loop [39] 86.8% [47] 17488(15.2%) 838(0.7%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [53] 79.1% loop [136] 7.8% f94 [152] 4.4% append-map [47] 3.5% parse-loop12 [108] 3.0% gather-additive-terms6 [159] 0.4% free-variables [114] 0.2% -------------------------------------------------------------------------- one-iter [37] 100.0% [48] 15992(13.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [54] 100.0% -------------------------------------------------------------------------- pass [40] 100.0% [49] 2498(2.2%) 220(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [56] 40.8% for-loop [57] 40.8% loop [58] 9.6% -------------------------------------------------------------------------- choose-best-alt! [44] 9.6% debug7 [147] 9.6% post-process [32] 20.2% finalize-iter! [43] 60.6% [50] 2080(1.8%) 200(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [55] 80.8% atab-pick-alt8 [60] 9.6% -------------------------------------------------------------------------- gen-series! [42] 100.0% [51] 1668(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [53] 100.0% -------------------------------------------------------------------------- for-loop [45] 11.3% run [15] 42.8% [52] 114538(99.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.8% run-improve58 [2] 24.6% loop [61] 21.4% simplify [3] 11.3% -------------------------------------------------------------------------- loop [136] 7.7% for-loop [51] 8.8% append-map [47] 83.5% [53] 18954(16.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [62] 100.0% -------------------------------------------------------------------------- one-iter [37] 5.1% loop [48] 94.9% [54] 16856(14.7%) 440(0.4%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [73] 34.3% match-e [63] 22.0% for-loop [64] 16.0% substitute-e [74] 9.9% loop! [96] 7.5% mk-enode! [84] 3.9% reduce-to-single! [67] 2.6% update-leader! [83] 1.2% -------------------------------------------------------------------------- ??? [50] 100.0% [55] 1680(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [65] 100.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [56] 1020(0.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [66] 100.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [57] 1018(0.9%) 1018(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [49] 100.0% [58] 240(0.2%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [66] 100.0% -------------------------------------------------------------------------- for-loop [46] 100.0% [59] 200(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [68] 100.0% -------------------------------------------------------------------------- ??? [50] 100.0% [60] 200(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [69] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 3.1% ??? [52] 96.9% [61] 49616(43.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [70] 49.3% make-exacts* [79] 36.3% loop [80] 14.4% -------------------------------------------------------------------------- taylor-alt [53] 100.0% [62] 18954(16.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [71] 100.0% -------------------------------------------------------------------------- apply-match [54] 14.9% for-loop [82] 20.2% for-loop [46] 64.9% [63] 17742(15.5%) 9062(7.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [72] 43.9% for-loop [82] 5.9% constant? [169] 4.0% list-cartesian-product [87] 2.4% curry* [88] 1.8% loop [136] 1.4% -------------------------------------------------------------------------- apply-match [54] 100.0% [64] 2694(2.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [96] 45.0% merge-egraph-nodes! [73] 22.3% mk-enode! [84] 16.4% substitute-e [74] 16.3% -------------------------------------------------------------------------- for-loop [55] 100.0% [65] 1680(1.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [75] 100.0% -------------------------------------------------------------------------- loop [58] 19.0% argmin [56] 81.0% [66] 1260(1.1%) 216(0.2%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [76] 82.9% -------------------------------------------------------------------------- apply-match [54] 100.0% [67] 444(0.4%) 202(0.2%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [77] 54.5% -------------------------------------------------------------------------- ??? [59] 100.0% [68] 200(0.2%) 200(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- atab-pick-alt8 [60] 100.0% [69] 200(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [78] 100.0% -------------------------------------------------------------------------- loop [61] 100.0% [70] 24442(21.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [80] 48.8% make-exacts* [79] 40.5% eval-prog [95] 10.6% -------------------------------------------------------------------------- for-loop [62] 41.1% location-do [71] 58.9% [71] 18954(16.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [71] 58.9% approximate9 [81] 40.6% simplify [142] 0.6% -------------------------------------------------------------------------- match-e [63] 100.0% [72] 9520(8.3%) 2932(2.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [82] 54.5% loop [136] 7.8% list-cartesian-product [87] 4.6% curry* [88] 3.2% foldl [90] 2.3% filter [174] 2.1% -------------------------------------------------------------------------- merge-egraph-nodes! [73] 3.6% for-loop [85] 8.7% for-loop [64] 9.4% apply-match [54] 78.3% [73] 6388(5.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [83] 66.0% loop! [96] 15.4% for-loop [85] 11.8% merge-egraph-nodes! [73] 3.6% for-loop [91] 3.1% -------------------------------------------------------------------------- substitute-e [74] 6.3% for-loop [64] 20.8% apply-match [54] 72.8% [74] 2104(1.8%) 840(0.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [84] 50.6% substitute-e [74] 6.3% constant? [169] 3.2% -------------------------------------------------------------------------- atab-add-altn [65] 100.0% [75] 1680(1.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [86] 63.1% for-loop [89] 36.9% -------------------------------------------------------------------------- expression-cost [66] 100.0% [76] 1044(0.9%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [125] 100.0% -------------------------------------------------------------------------- reduce-to-single! [67] 100.0% [77] 242(0.2%) 242(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------- ??? [69] 100.0% [78] 200(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [92] 100.0% -------------------------------------------------------------------------- loop [70] 35.5% loop [61] 64.5% [79] 27944(24.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [93] 48.2% loop [136] 47.1% eval-prog [95] 4.7% -------------------------------------------------------------------------- loop [61] 37.4% loop [70] 62.6% [80] 19072(16.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [93] 100.0% -------------------------------------------------------------------------- location-do [71] 100.0% [81] 18732(16.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [94] 95.6% f94 [152] 3.3% taylor-quotient [12] 1.1% -------------------------------------------------------------------------- match-e [63] 22.7% for-loop [72] 77.3% [82] 7652(6.7%) 1222(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [63] 86.6% -------------------------------------------------------------------------- apply-match [54] 4.4% merge-egraph-nodes! [73] 95.6% [83] 4622(4.0%) 842(0.7%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [97] 68.7% hash-ref! [125] 4.5% custom-set-union! [104] 4.3% make-sequence [106] 4.3% -------------------------------------------------------------------------- for-loop [64] 20.4% apply-match [54] 30.5% substitute-e [74] 49.1% [84] 2168(1.9%) 1306(1.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [99] 29.6% new-enode [102] 10.1% -------------------------------------------------------------------------- merge-egraph-nodes! [73] 100.0% [85] 1308(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [73] 84.6% loop! [96] 15.4% -------------------------------------------------------------------------- composed [98] 15.9% best-and-tied-at-points [75] 84.1% [86] 1260(1.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [95] 68.3% for-loop [101] 31.7% -------------------------------------------------------------------------- list-cartesian-product [87] 29.6% match-e [63] 29.6% for-loop [72] 40.7% [87] 1080(0.9%) 880(0.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [87] 29.6% for-loop [105] 9.3% -------------------------------------------------------------------------- for-loop [72] 48.1% match-e [63] 51.9% [88] 852(0.7%) 452(0.4%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [100] 46.9% -------------------------------------------------------------------------- best-and-tied-at-points [75] 100.0% [89] 620(0.5%) 422(0.4%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [107] 31.9% -------------------------------------------------------------------------- for-loop [72] 100.0% [90] 220(0.2%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [103] 100.0% -------------------------------------------------------------------------- merge-egraph-nodes! [73] 100.0% [91] 200(0.2%) 200(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 -------------------------------------------------------------------------- best-alt [78] 100.0% [92] 200(0.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [98] 100.0% -------------------------------------------------------------------------- gather-multiplicative-terms [175] 0.1% parse-loop12 [108] 0.3% make-exacts* [79] 28.9% f94 [152] 29.8% loop [80] 40.9% [93] 46684(40.7%) 420(0.4%) map ...acket/collects/racket/private/map.rkt:21:13 loop [136] 69.3% f94 [152] 21.6% parse-loop12 [108] 3.5% ??? [109] 1.7% simplify-node [145] 1.1% ??? [141] 0.9% make-multiplication-node [148] 0.6% ??? [115] 0.5% taylor [111] 0.5% taylor-invert [10] 0.1% gather-multiplicative-terms [175] 0.1% taylor-exp [14] 0.0% -------------------------------------------------------------------------- approximate9 [81] 100.0% [94] 17904(15.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [125] 100.0% -------------------------------------------------------------------------- errors [86] 18.1% make-exacts* [79] 27.4% loop [70] 54.6% [95] 4764(4.2%) 872(0.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [125] 76.3% inductor [171] 5.4% -------------------------------------------------------------------------- for-loop [85] 2.4% apply-match [54] 17.2% for-loop [64] 19.0% merge-egraph-nodes! [73] 24.9% loop [136] 36.4% [96] 4240(3.7%) 408(0.4%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [136] 41.1% custom-set-union [112] 33.4% set [113] 13.0% update-en-expr [139] 7.6% -------------------------------------------------------------------------- update-leader! [83] 100.0% [97] 3174(2.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [110] 100.0% -------------------------------------------------------------------------- loop [92] 11.6% f94 [152] 88.4% [98] 1724(1.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f94 [152] 62.8% free-variables [114] 12.9% parse-loop12 [108] 12.8% errors [86] 11.6% -------------------------------------------------------------------------- mk-enode! [84] 100.0% [99] 642(0.6%) 642(0.6%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- curry* [88] 100.0% [100] 400(0.3%) 400(0.3%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- errors [86] 100.0% [101] 400(0.3%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [141] 100.0% -------------------------------------------------------------------------- mk-enode! [84] 100.0% [102] 220(0.2%) 220(0.2%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 -------------------------------------------------------------------------- foldl [90] 100.0% [103] 220(0.2%) 220(0.2%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- update-leader! [83] 100.0% [104] 200(0.2%) 200(0.2%) custom-set-union! ...t/private/set-types.rkt:246:0 -------------------------------------------------------------------------- list-cartesian-product [87] 100.0% [105] 200(0.2%) 200(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- update-leader! [83] 100.0% [106] 200(0.2%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [116] 100.0% -------------------------------------------------------------------------- for-loop [89] 100.0% [107] 198(0.2%) 198(0.2%) ??? ...ket/collects/racket/private/for.rkt:1150:14 -------------------------------------------------------------------------- loop [136] 0.8% composed [98] 2.5% hash-ref! [125] 9.9% parse-loop12 [108] 11.9% simplify [142] 12.5% append-map [47] 13.2% for-loop [26] 14.9% map [93] 34.3% [108] 8912(7.8%) 4180(3.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [136] 17.7% for-loop [118] 12.7% parse-loop12 [108] 11.9% f94 [152] 8.0% make-multiplication-node [148] 5.6% parse-app [121] 4.9% for-loop [123] 4.7% append-map [47] 2.5% map [93] 1.6% loop [122] 1.0% gather-additive-terms6 [159] 0.6% -------------------------------------------------------------------------- ??? [7] 5.2% loop [136] 21.8% map [93] 73.0% [109] 3868(3.4%) 202(0.2%) ??? ...ket/collects/racket/private/list.rkt:323:18 f94 [152] 71.9% hash-ref! [125] 22.9% -------------------------------------------------------------------------- for-loop [97] 100.0% [110] 3174(2.8%) 200(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [117] 93.7% -------------------------------------------------------------------------- hash-ref! [125] 9.8% map [93] 20.1% f94 [152] 70.2% [111] 2044(1.8%) 200(0.2%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [136] 40.4% debug-print [146] 29.9% debug7 [147] 19.9% -------------------------------------------------------------------------- loop! [96] 100.0% [112] 1884(1.6%) 624(0.5%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [119] 33.8% for-loop [120] 33.1% -------------------------------------------------------------------------- loop! [96] 100.0% [113] 1104(1.0%) 1104(1.0%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- composed [98] 33.4% append-map [47] 66.6% [114] 664(0.6%) 444(0.4%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [169] 33.1% -------------------------------------------------------------------------- map [93] 100.0% [115] 414(0.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [124] 51.2% pattern-match [127] 48.8% -------------------------------------------------------------------------- make-sequence [106] 100.0% [116] 200(0.2%) 200(0.2%) ??? ...acket/collects/racket/private/for.rkt:428:7 -------------------------------------------------------------------------- for-loop [110] 100.0% [117] 2974(2.6%) 202(0.2%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [126] 93.2% -------------------------------------------------------------------------- parse-loop12 [108] 100.0% [118] 1524(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [125] 100.0% -------------------------------------------------------------------------- custom-set-union [112] 100.0% [119] 636(0.6%) 416(0.4%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [128] 34.6% -------------------------------------------------------------------------- custom-set-union [112] 100.0% [120] 624(0.5%) 624(0.5%) for-loop ...cts/racket/private/set-types.rkt:152:2 -------------------------------------------------------------------------- parse-loop12 [108] 100.0% [121] 438(0.4%) 222(0.2%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [129] 49.3% -------------------------------------------------------------------------- loop [122] 26.1% parse-loop12 [108] 73.9% [122] 422(0.4%) 220(0.2%) loop ...cket/collects/racket/private/map.rkt:37:19 ->flonum [149] 47.9% loop [122] 26.1% -------------------------------------------------------------------------- parse-loop12 [108] 100.0% [123] 420(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 simplify-node [145] 52.4% f94 [152] 47.6% -------------------------------------------------------------------------- ??? 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[117] 100.0% [126] 2772(2.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [134] 100.0% -------------------------------------------------------------------------- ??? [115] 48.8% for-loop [124] 51.2% [127] 414(0.4%) 212(0.2%) pattern-match .../herbie/src/core/matcher.rkt:47:0 for-loop [135] 48.8% -------------------------------------------------------------------------- for-loop [119] 100.0% [128] 220(0.2%) 220(0.2%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- parse-app [121] 100.0% [129] 216(0.2%) 216(0.2%) loop .../collects/racket/private/stxcase.rkt:112:7 -------------------------------------------------------------------------- hash-ref! [125] 100.0% [130] 17080(14.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [125] 100.0% -------------------------------------------------------------------------- hash-ref! [125] 100.0% [131] 11806(10.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [125] 93.5% ??? [137] 6.5% -------------------------------------------------------------------------- hash-ref! [125] 100.0% [132] 4284(3.7%) 202(0.2%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [136] 80.3% hash-ref! [125] 18.1% -------------------------------------------------------------------------- hash-ref! [125] 100.0% [133] 3434(3.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [138] 80.8% sig+exp->bigfloat [140] 19.2% -------------------------------------------------------------------------- ??? 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[109] 0.7% completely-simplify-alt [8] 0.5% parse-loop12 [108] 0.3% ->flonum [149] 0.0% ...higher-order.rkt:373:33 [153] 0.0% ??? [167] 0.0% -------------------------------------------------------------------------- ??? [131] 16.8% for-loop [20] 83.2% [137] 3974(3.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [125] 100.0% -------------------------------------------------------------------------- bigfloat-hash [133] 100.0% [138] 2774(2.4%) 2774(2.4%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- loop! [96] 50.0% for-loop [134] 50.0% [139] 1288(1.1%) 1288(1.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- bigfloat-hash [133] 100.0% [140] 660(0.6%) 660(0.6%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 -------------------------------------------------------------------------- for-loop [101] 0.9% map [93] 0.9% loop [136] 98.2% [141] 44870(39.1%) 1886(1.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [144] 71.5% real->bigfloat [178] 18.4% ??? [179] 4.5% ->flonum [149] 0.4% -------------------------------------------------------------------------- for-loop [25] 1.3% location-do [71] 1.4% taylor-exp [14] 2.7% taylor-invert [10] 2.8% loop [136] 3.9% for-loop [20] 3.9% hash-ref! [125] 83.9% [142] 15848(13.8%) 202(0.2%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [152] 65.6% parse-loop12 [108] 9.5% debug-print [146] 9.3% debug7 [147] 7.7% simplify-node [145] 5.3% make-multiplication-node [148] 1.3% -------------------------------------------------------------------------- map-enodes [41] 8.4% loop [136] 91.6% [143] 2386(2.1%) 456(0.4%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [150] 53.1% eval-const-expr [151] 19.4% compose [180] 8.4% -------------------------------------------------------------------------- ??? [141] 100.0% [144] 32074(27.9%) 1132(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [167] 65.1% ...higher-order.rkt:373:33 [153] 18.1% bf* [154] 5.8% ...higher-order.rkt:369:33 [156] 4.8% bf> [158] 2.6% -------------------------------------------------------------------------- for-loop [123] 4.3% simplify [142] 32.9% map [93] 62.8% [145] 2568(2.2%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [47] 58.3% combine-aterms [162] 16.6% f94 [152] 12.1% gather-additive-terms6 [159] 8.6% constant? [169] 4.3% -------------------------------------------------------------------------- taylor [111] 29.4% simplify [142] 70.6% [146] 2080(1.8%) 602(0.5%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [157] 71.1% -------------------------------------------------------------------------- iterate-egraph!5 [31] 11.0% taylor [111] 22.1% simplify [142] 66.8% [147] 1834(1.6%) 810(0.7%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [163] 23.1% return/no-unsupplied [164] 21.8% ??? [50] 10.9% -------------------------------------------------------------------------- simplify [142] 11.7% parse-loop12 [108] 38.2% map [93] 50.1% [148] 1726(1.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [155]100.0% -------------------------------------------------------------------------- ??? [141] 14.2% loop [122] 14.4% loop [136] 71.4% [149] 1406(1.2%) 250(0.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [184] 35.3% ??? [161] 32.6% ??? [166] 14.4% -------------------------------------------------------------------------- for-loop [143] 100.0% [150] 1266(1.1%) 1046(0.9%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [165] 17.4% -------------------------------------------------------------------------- for-loop [143] 100.0% [151] 464(0.4%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [160] 100.0% -------------------------------------------------------------------------- approximate9 [81] 0.8% simplify-node [145] 1.0% composed [98] 1.0% for-loop [123] 1.3% parse-loop12 [108] 2.2% ??? [109] 2.3% loop [136] 2.5% append-map [47] 4.1% hash-ref! [125] 5.9% f94 [152] 8.1% simplify [142] 18.0% map [93] 52.7% [152] 14956(13.0%) 2520(2.2%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [93] 74.2% f94 [152] 8.1% append-map [47] 6.1% gather-multiplicative-terms [175] 1.6% taylor [111] 1.4% composed [98] 1.1% taylor-quotient [12] 1.0% taylor-invert [10] 0.9% combine-mterms [13] 0.5% taylor-exp [14] 0.2% -------------------------------------------------------------------------- loop [136] 4.0% ??? [144] 96.0% [153] 6044(5.3%) 436(0.4%) ...higher-order.rkt:373:33 (unknown source) ??? [168] 76.1% ??? [179] 16.6% -------------------------------------------------------------------------- ??? [144] 100.0% [154] 1876(1.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [167] 100.0% -------------------------------------------------------------------------- make-multiplication-node [148] 100.0% [155] 1726(1.5%) 644(0.6%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [170] 49.0% for-loop [176] 13.7% -------------------------------------------------------------------------- ??? [144] 100.0% [156] 1546(1.3%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [168] 73.4% ??? [179] 26.6% -------------------------------------------------------------------------- debug-print [146] 100.0% [157] 1478(1.3%) 1478(1.3%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- ??? [144] 100.0% [158] 848(0.7%) 238(0.2%) bf> ...th/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [184] 71.9% -------------------------------------------------------------------------- append-map [47] 33.1% simplify-node [145] 33.4% parse-loop12 [108] 33.4% [159] 664(0.6%) 444(0.4%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 constant? [169] 33.1% -------------------------------------------------------------------------- eval-const-expr [151] 100.0% [160] 464(0.4%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [171] 100.0% -------------------------------------------------------------------------- ->flonum [149] 100.0% [161] 458(0.4%) 458(0.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- simplify-node [145] 100.0% [162] 426(0.4%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [172] 100.0% -------------------------------------------------------------------------- debug7 [147] 100.0% [163] 424(0.4%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [173] 100.0% -------------------------------------------------------------------------- debug7 [147] 100.0% [164] 400(0.3%) 200(0.2%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [174] 50.0% -------------------------------------------------------------------------- setfindf [150] 100.0% [165] 220(0.2%) 220(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------- ->flonum [149] 100.0% [166] 202(0.2%) 202(0.2%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 -------------------------------------------------------------------------- loop [136] 1.0% bf* [154] 8.2% ??? [144] 90.9% [167] 22968(20.0%) 3910(3.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [177] 66.3% ??? [184] 15.7% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [156] 19.8% ...higher-order.rkt:373:33 [153] 80.2% [168] 5736(5.0%) 1424(1.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [179] 75.2% -------------------------------------------------------------------------- substitute-e [74] 10.3% gather-additive-terms6 [159] 11.3% simplify-node [145] 11.3% free-variables [114] 11.3% match-e [63] 55.8% [169] 1946(1.7%) 1946(1.7%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- make-multiplication-subnode [155]100.0% [170] 846(0.7%) 624(0.5%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [183] 26.2% -------------------------------------------------------------------------- eval-prog [95] 4.0% expression-induct31 [160] 32.1% inductor [171] 63.9% [171] 722(0.6%) 242(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [171] 63.9% real->bigfloat [178] 15.4% integer->bigfloat [181] 4.0% -------------------------------------------------------------------------- combine-aterms [162] 100.0% [172] 426(0.4%) 202(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [125] 52.6% -------------------------------------------------------------------------- ??? [163] 100.0% [173] 424(0.4%) 424(0.4%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 -------------------------------------------------------------------------- return/no-unsupplied [164] 49.8% for-loop [72] 50.2% [174] 402(0.4%) 402(0.4%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- map [93] 25.0% f94 [152] 75.0% [175] 400(0.3%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [93] 50.0% compose [180] 50.0% -------------------------------------------------------------------------- make-multiplication-subnode [155]100.0% [176] 236(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 partition [182] 100.0% -------------------------------------------------------------------------- ??? [167] 100.0% [177] 15238(13.3%) 12516(10.9%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [185] 17.9% -------------------------------------------------------------------------- inductor [171] 2.6% ??? [141] 97.4% [178] 8462(7.4%) 6854(6.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [185] 19.0% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [156] 5.3% ...higher-order.rkt:373:33 [153] 13.0% ??? [141] 25.9% ??? [168] 55.8% [179] 7728(6.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [184] 100.0% -------------------------------------------------------------------------- for-loop [143] 50.0% gather-multiplicative-terms [175] 50.0% [180] 400(0.3%) 400(0.3%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- inductor [171] 100.0% [181] 258(0.2%) 258(0.2%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 -------------------------------------------------------------------------- for-loop [176] 100.0% [182] 236(0.2%) 236(0.2%) partition ...racket/collects/racket/list.rkt:547:0 -------------------------------------------------------------------------- group-by68 [170] 100.0% [183] 222(0.2%) 222(0.2%) hash-update ...cket/private/more-scheme.rkt:356:13 -------------------------------------------------------------------------- ->flonum [149] 4.0% bf> [158] 4.9% ??? [167] 28.9% ??? [179] 62.2% [184] 12432(10.8%) 5276(4.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [186] 55.8% -------------------------------------------------------------------------- real->bigfloat [178] 37.1% bfsub [177] 62.9% [185] 4330(3.8%) 4330(3.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [184] 100.0% [186] 6940(6.0%) 4606(4.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [187] 33.6% -------------------------------------------------------------------------- ??? [186] 100.0% [187] 2334(2.0%) 2334(2.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------