Profiling results ----------------- Total cpu time observed: 169422ms (out of 170192ms) Number of samples taken: 754 (once every 225ms) (Hiding functions with self<1.0% and local<2.0%: 13 of 190 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [54] 100.0% [1] 158704(93.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% -------------------------------------------------------------------------- ??? [54] 100.0% [2] 146376(86.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [15] 87.4% finalize-table! [18] 9.9% get-final-combination [20] 2.3% loop [64] 0.5% -------------------------------------------------------------------------- loop [132] 2.5% ??? [54] 97.5% [3] 126490(74.7%) 198(0.1%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [16] 62.4% for-loop [17] 30.2% iterate-egraph!5 [27] 7.3% -------------------------------------------------------------------------- post-process [28] 2.6% loop [132] 97.4% [4] 7576(4.5%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [16] 100.0% -------------------------------------------------------------------------- hash-ref! [114] 100.0% [5] 4376(2.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [114] 89.4% ??? [32] 10.6% -------------------------------------------------------------------------- hash-ref! [114] 100.0% [6] 3468(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 100.0% -------------------------------------------------------------------------- hash-ref! [114] 100.0% [7] 2886(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [21] 100.0% -------------------------------------------------------------------------- hash-ref! [114] 100.0% [8] 1620(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [23] 75.3% hash-ref! [114] 24.7% -------------------------------------------------------------------------- approximate9 [83] 13.7% f6 [95] 36.0% map [106] 50.3% [9] 1606(0.9%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [22] 74.8% simplify [29] 25.2% -------------------------------------------------------------------------- map [106] 38.4% loop [132] 61.6% [10] 1268(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [114] 53.9% f6 [95] 33.1% map [106] 12.9% -------------------------------------------------------------------------- hash-ref! [114] 100.0% [11] 424(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [24] 100.0% -------------------------------------------------------------------------- hash-ref! [114] 100.0% [12] 420(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [25] 100.0% -------------------------------------------------------------------------- f6 [95] 100.0% [13] 200(0.1%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [22] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 99.9% [14] 158922(93.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [54] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 127860(75.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [26] 100.0% -------------------------------------------------------------------------- completely-simplify-alt [4] 8.8% simplify [3] 91.2% [16] 86496(51.1%) 218(0.1%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [27] 94.3% loop [30] 5.5% -------------------------------------------------------------------------- simplify [3] 100.0% [17] 38142(22.5%) 688(0.4%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [27] 94.7% loop [30] 2.9% extract-smallest [34] 0.6% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 14458(8.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [28] 100.0% -------------------------------------------------------------------------- ??? [6] 100.0% [19] 3468(2.0%) 200(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [114] 94.2% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [20] 3380(2.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [31] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [21] 2886(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [114] 86.2% ??? [32] 13.8% -------------------------------------------------------------------------- taylor-quotient [13] 14.3% taylor-invert [9] 85.7% [22] 1402(0.8%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [114] 85.6% simplify [29] 14.4% -------------------------------------------------------------------------- ??? [8] 100.0% [23] 1220(0.7%) 356(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [114] 85.4% -------------------------------------------------------------------------- ??? [11] 100.0% [24] 424(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [114] 100.0% -------------------------------------------------------------------------- ??? [12] 100.0% [25] 420(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [33] 100.0% -------------------------------------------------------------------------- for-loop [15] 100.0% [26] 127860(75.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [35] 96.3% finalize-iter! [40] 2.2% gen-series! [41] 1.2% localize-error [42] 0.3% -------------------------------------------------------------------------- simplify [3] 7.3% for-loop [17] 28.5% simplify-expr [16] 64.3% [27] 126888(74.9%) 392(0.2%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [36] 94.5% map-enodes [37] 5.2% -------------------------------------------------------------------------- finalize-table! [18] 100.0% [28] 14458(8.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [132] 56.7% for-loop [38] 40.5% ??? [50] 1.4% completely-simplify-alt [4] 1.4% -------------------------------------------------------------------------- loop [132] 3.1% first-nonzero-exp [22] 3.1% taylor-invert [9] 6.3% hash-ref! [114] 87.5% [29] 6428(3.8%) 220(0.1%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [95] 51.6% parse-loop12 [125] 34.9% debug-print [130] 6.9% simplify* [121] 3.1% -------------------------------------------------------------------------- for-loop [17] 18.9% simplify-expr [16] 81.1% [30] 5854(3.5%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [39] 100.0% -------------------------------------------------------------------------- get-final-combination [20] 100.0% [31] 3380(2.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [132] 92.8% loop [43] 7.2% -------------------------------------------------------------------------- ??? [5] 35.4% for-loop [21] 64.6% [32] 1306(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [114] 100.0% -------------------------------------------------------------------------- for-loop [25] 100.0% [33] 420(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [114] 100.0% -------------------------------------------------------------------------- for-loop [17] 100.0% [34] 220(0.1%) 0(0.0%) extract-smallest ...ie/src/core/simplify.rkt:179:0 hash-keys [44] 100.0% -------------------------------------------------------------------------- run-iter! [26] 100.0% [35] 123112(72.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [45] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [27] 100.0% [36] 119934(70.8%) 5288(3.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [46] 54.8% loop [47] 37.4% apply-match [55] 2.7% -------------------------------------------------------------------------- iterate-egraph!5 [27] 100.0% [37] 6562(3.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [132] 90.2% for-loop [142] 9.8% -------------------------------------------------------------------------- post-process [28] 100.0% [38] 5858(3.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [48] 100.0% -------------------------------------------------------------------------- loop [30] 100.0% [39] 5854(3.5%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [49] 100.0% -------------------------------------------------------------------------- run-iter! [26] 100.0% [40] 2794(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [50] 100.0% -------------------------------------------------------------------------- run-iter! [26] 100.0% [41] 1528(0.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [51] 100.0% -------------------------------------------------------------------------- run-iter! [26] 34.1% loop [132] 65.9% [42] 1250(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [114] 67.8% sort [52] 32.2% -------------------------------------------------------------------------- extract-alt [31] 100.0% [43] 244(0.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [112] 100.0% -------------------------------------------------------------------------- extract-smallest [34] 100.0% [44] 220(0.1%) 0(0.0%) hash-keys .../collects/racket/private/hash.rkt:2:2 loop [53] 100.0% -------------------------------------------------------------------------- simplify! [35] 100.0% [45] 123112(72.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [54] 100.0% -------------------------------------------------------------------------- for-loop [46] 48.3% one-iter [36] 51.7% [46] 65776(38.8%) 14162(8.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [46] 48.3% match-e [63] 38.9% ??? [98] 0.3% -------------------------------------------------------------------------- one-iter [36] 100.0% [47] 44812(26.4%) 840(0.5%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [55] 98.1% -------------------------------------------------------------------------- f6 [95] 5.0% simplify-node [117] 5.1% for-loop [38] 89.9% [48] 6060(3.6%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [56] 72.6% loop [132] 17.3% parse-loop12 [125] 10.1% -------------------------------------------------------------------------- pass [39] 100.0% [49] 5854(3.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [58] 44.6% for-loop [59] 28.9% loop [60] 23.0% make-sequence [138] 3.5% -------------------------------------------------------------------------- post-process [28] 6.7% finalize-iter! [40] 93.3% [50] 2994(1.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [57] 100.0% -------------------------------------------------------------------------- gen-series! [41] 100.0% [51] 1528(0.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [56] 100.0% -------------------------------------------------------------------------- localize-error [42] 100.0% [52] 402(0.2%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 jloop [61] 50.2% loop [62] 49.8% -------------------------------------------------------------------------- hash-keys [44] 100.0% [53] 220(0.1%) 220(0.1%) loop ...acket/collects/racket/private/hash.rkt:3:4 -------------------------------------------------------------------------- for-loop [45] 25.2% run [14] 35.9% [54] 167672(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 35.8% run-improve58 [2] 32.5% simplify [3] 25.3% loop [64] 6.4% -------------------------------------------------------------------------- one-iter [36] 6.7% loop [47] 93.3% [55] 47154(27.8%) 2004(1.2%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [72] 37.6% match-e [63] 17.3% for-loop [66] 12.1% loop! [94] 9.6% substitute-e [75] 8.2% update-leader! [80] 6.5% mk-enode! [85] 4.1% -------------------------------------------------------------------------- loop [132] 14.2% for-loop [51] 20.7% append-map [48] 65.2% [56] 7386(4.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [65] 100.0% -------------------------------------------------------------------------- ??? [50] 100.0% [57] 2994(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [68] 100.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [58] 2612(1.5%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [67] 92.3% for-loop [69] 7.7% -------------------------------------------------------------------------- for-loop [49] 100.0% [59] 1692(1.0%) 1692(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [49] 100.0% [60] 1348(0.8%) 242(0.1%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [67] 64.1% for-loop [69] 18.0% -------------------------------------------------------------------------- sort [52] 100.0% [61] 202(0.1%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 errors-score [70] 100.0% -------------------------------------------------------------------------- sort [52] 100.0% [62] 200(0.1%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 errors-score [70] 100.0% -------------------------------------------------------------------------- apply-match [55] 8.9% for-loop [79] 15.4% for-loop [46] 75.7% [63] 59312(35.0%) 29942(17.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [71] 37.1% for-loop [79] 9.1% list-cartesian-product [82] 6.3% loop [132] 1.5% constant? [168] 0.7% curry* [88] 0.6% -------------------------------------------------------------------------- run-improve58 [2] 3.1% ??? [54] 96.9% [64] 21732(12.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [73] 44.5% make-exacts* [81] 39.5% loop [84] 15.0% -------------------------------------------------------------------------- taylor-alt [56] 100.0% [65] 7386(4.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [74] 100.0% -------------------------------------------------------------------------- apply-match [55] 100.0% [66] 5688(3.4%) 220(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [94] 58.6% mk-enode! [85] 15.2% substitute-e [75] 11.6% merge-egraph-nodes! [72] 10.7% -------------------------------------------------------------------------- loop [60] 26.4% argmin [58] 73.6% [67] 3276(1.9%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [76] 100.0% -------------------------------------------------------------------------- for-loop [57] 100.0% [68] 2994(1.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [77] 100.0% -------------------------------------------------------------------------- argmin [58] 45.2% loop [60] 54.8% [69] 442(0.3%) 442(0.3%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 -------------------------------------------------------------------------- loop [62] 49.8% jloop [61] 50.2% [70] 402(0.2%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [132] 50.2% loop [78] 49.8% -------------------------------------------------------------------------- match-e [63] 100.0% [71] 26142(15.4%) 12740(7.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [79] 38.7% list-cartesian-product [82] 12.1% curry* [88] 2.6% loop [132] 0.8% -------------------------------------------------------------------------- for-loop [89] 1.8% merge-egraph-nodes! [72] 2.9% for-loop [66] 3.3% apply-match [55] 92.0% [72] 18342(10.8%) 434(0.3%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [80] 64.7% loop! [94] 15.2% enode-merge! [87] 6.0% for-loop [90] 3.6% for-loop [89] 3.1% merge-egraph-nodes! [72] 2.9% for-loop [92] 2.2% -------------------------------------------------------------------------- loop [64] 100.0% [73] 9678(5.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [81] 44.0% loop [84] 42.6% eval-prog [97] 13.4% -------------------------------------------------------------------------- location-do [74] 22.1% for-loop [65] 77.9% [74] 7386(4.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [83] 77.9% location-do [74] 22.1% -------------------------------------------------------------------------- for-loop [66] 11.4% substitute-e [75] 17.3% apply-match [55] 71.3% [75] 4520(2.7%) 1868(1.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [85] 58.7% substitute-e [75] 17.3% -------------------------------------------------------------------------- expression-cost [67] 100.0% [76] 3276(1.9%) 242(0.1%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [114] 92.6% -------------------------------------------------------------------------- atab-add-altn [68] 100.0% [77] 2994(1.8%) 200(0.1%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [86] 79.2% for-loop [91] 14.1% -------------------------------------------------------------------------- errors-score [70] 100.0% [78] 200(0.1%) 200(0.1%) loop ...hare/racket/collects/racket/list.rkt:551:2 -------------------------------------------------------------------------- match-e [63] 45.0% for-loop [71] 55.0% [79] 20854(12.3%) 2086(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [63] 84.5% ??? [98] 7.0% -------------------------------------------------------------------------- apply-match [55] 20.2% merge-egraph-nodes! [72] 79.8% [80] 15270(9.0%) 1514(0.9%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [93] 87.1% hash-ref! [114] 1.6% update-en-expr [143] 1.4% -------------------------------------------------------------------------- loop [73] 33.2% loop [64] 66.8% [81] 12840(7.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [106] 54.6% loop [132] 38.6% eval-prog [97] 6.7% -------------------------------------------------------------------------- list-cartesian-product [82] 17.0% for-loop [71] 33.5% match-e [63] 49.6% [82] 7568(4.5%) 6684(3.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [82] 17.0% for-loop [102] 10.1% -------------------------------------------------------------------------- location-do [74] 100.0% [83] 7386(4.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [96] 75.2% f6 [95] 21.8% taylor-invert [9] 3.0% -------------------------------------------------------------------------- loop [64] 44.1% loop [73] 55.9% [84] 7374(4.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [106] 100.0% -------------------------------------------------------------------------- for-loop [66] 15.9% apply-match [55] 35.4% substitute-e [75] 48.7% [85] 5442(3.2%) 3680(2.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [101] 16.9% hash-has-key? [103] 15.4% -------------------------------------------------------------------------- composed [112] 9.3% best-and-tied-at-points [77] 90.7% [86] 2616(1.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [99] 64.4% eval-prog [97] 35.6% -------------------------------------------------------------------------- merge-egraph-nodes! [72] 100.0% [87] 1304(0.8%) 242(0.1%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [104] 50.8% custom-set-intersect! [105] 30.7% -------------------------------------------------------------------------- match-e [63] 39.3% for-loop [71] 60.7% [88] 1124(0.7%) 200(0.1%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [100] 82.2% -------------------------------------------------------------------------- merge-egraph-nodes! [72] 100.0% [89] 884(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [72] 72.9% loop! [94] 27.1% -------------------------------------------------------------------------- merge-egraph-nodes! [72] 100.0% [90] 664(0.4%) 664(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 -------------------------------------------------------------------------- best-and-tied-at-points [77] 100.0% [91] 422(0.2%) 422(0.2%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 -------------------------------------------------------------------------- merge-egraph-nodes! [72] 100.0% [92] 404(0.2%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 update-en-expr [143] 100.0% -------------------------------------------------------------------------- update-leader! [80] 100.0% [93] 13298(7.8%) 1468(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [107] 89.0% -------------------------------------------------------------------------- for-loop [89] 0.7% merge-egraph-nodes! [72] 17.4% for-loop [66] 23.1% apply-match [55] 29.2% loop [132] 29.7% [94] 11184(6.6%) 2514(1.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [132] 37.5% custom-set-union [108] 32.2% set [109] 9.4% update-en-expr [143] 6.5% -------------------------------------------------------------------------- ??? [10] 0.7% for-loop [137] 1.3% simplify-node [117] 2.1% approximate9 [83] 7.6% parse-loop12 [125] 8.5% hash-ref! [114] 8.8% f6 [95] 15.3% simplify [29] 23.6% map [106] 32.2% [95] 5684(3.4%) 424(0.3%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [106] 65.1% f6 [95] 15.3% compose [153] 3.5% taylor-sqrt [113] 3.4% gather-multiplicative-terms [119] 2.0% composed [112] 1.8% append-map [48] 1.4% parse-app [135] 0.7% taylor-invert [9] 0.5% loop [132] 0.4% taylor-quotient [13] 0.4% -------------------------------------------------------------------------- approximate9 [83] 100.0% [96] 5556(3.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [114] 100.0% -------------------------------------------------------------------------- make-exacts* [81] 27.9% errors [86] 30.1% loop [73] 42.0% [97] 3092(1.8%) 1138(0.7%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [114] 63.2% -------------------------------------------------------------------------- for-loop [46] 24.1% for-loop [79] 75.9% [98] 1910(1.1%) 402(0.2%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [110] 79.0% -------------------------------------------------------------------------- errors [86] 100.0% [99] 1686(1.0%) 220(0.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [141] 63.2% ->flonum [150] 23.7% -------------------------------------------------------------------------- curry* [88] 100.0% [100] 924(0.5%) 924(0.5%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- mk-enode! [85] 100.0% [101] 922(0.5%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [111] 73.8% set [109] 26.2% -------------------------------------------------------------------------- list-cartesian-product [82] 100.0% [102] 884(0.5%) 884(0.5%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- mk-enode! [85] 100.0% [103] 840(0.5%) 840(0.5%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- enode-merge! [87] 100.0% [104] 662(0.4%) 200(0.1%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [108] 69.8% -------------------------------------------------------------------------- enode-merge! [87] 100.0% [105] 400(0.2%) 400(0.2%) custom-set-intersect! ...ivate/set-types.rkt:270:0 -------------------------------------------------------------------------- parse-loop12 [125] 0.6% gather-multiplicative-terms [119] 0.7% ??? [10] 2.8% f6 [95] 22.9% make-exacts* [81] 35.6% loop [84] 37.4% [106] 19698(11.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [132] 73.1% f6 [95] 12.3% ->flonum [150] 2.8% parse-loop12 [125] 2.6% simplify-node [117] 2.4% taylor-invert [9] 1.7% make-addition-node [123] 1.1% taylor [122] 1.0% ??? [141] 1.0% ??? [10] 0.8% gather-multiplicative-terms [119] 0.7% simplify* [121] 0.5% -------------------------------------------------------------------------- for-loop [93] 100.0% [107] 11830(7.0%) 644(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [115] 94.6% -------------------------------------------------------------------------- adopt-enode! [104] 10.2% loop! [94] 89.8% [108] 4536(2.7%) 1538(0.9%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [116] 51.5% for-loop [118] 14.6% -------------------------------------------------------------------------- new-enode [101] 10.0% loop! [94] 90.0% [109] 2416(1.4%) 2416(1.4%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- ??? [98] 100.0% [110] 1508(0.9%) 1508(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- new-enode [101] 100.0% [111] 680(0.4%) 680(0.4%) mutable-set ...racket/private/set-types.rkt:1000:0 -------------------------------------------------------------------------- loop [43] 37.7% f6 [95] 62.3% [112] 648(0.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [120] 62.3% errors [86] 37.7% -------------------------------------------------------------------------- f6 [95] 100.0% [113] 602(0.4%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [114] 100.0% -------------------------------------------------------------------------- for-loop [33] 0.3% for-loop [24] 0.5% ??? [8] 0.9% for-loop [23] 1.4% taylor-sqrt [113] 1.5% localize-error [42] 1.7% ??? [32] 1.9% update-leader! [80] 2.0% first-nonzero-exp [22] 4.1% eval-prog [97] 5.0% ??? [10] 5.2% for-loop [19] 5.7% ??? [5] 6.8% ??? [127] 7.0% for-loop [21] 9.5% compile [76] 10.3% loop [96] 10.4% loop [132] 10.9% ??? [126] 14.4% [114] 12256(7.2%) 2592(1.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [126] 27.1% simplify [29] 12.6% ??? [7] 10.7% ??? [5] 7.6% ??? [127] 7.0% ??? [6] 5.9% parse-loop12 [125] 5.8% bigfloat-hash [128] 5.0% f6 [95] 3.9% ??? [8] 2.6% ??? [11] 0.5% ??? [12] 0.3% -------------------------------------------------------------------------- for-loop [107] 100.0% [115] 11186(6.6%) 238(0.1%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [124] 97.9% -------------------------------------------------------------------------- custom-set-union [108] 100.0% [116] 2334(1.4%) 604(0.4%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [129] 74.1% -------------------------------------------------------------------------- map [106] 100.0% [117] 1444(0.9%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f6 [95] 56.9% append-map [48] 43.1% -------------------------------------------------------------------------- custom-set-union [108] 100.0% [118] 664(0.4%) 664(0.4%) for-loop ...cts/racket/private/set-types.rkt:152:2 -------------------------------------------------------------------------- map [106] 38.9% f6 [95] 61.1% [119] 602(0.4%) 602(0.4%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [106] 38.9% -------------------------------------------------------------------------- composed [112] 100.0% [120] 404(0.2%) 404(0.2%) free-variables ...ock/herbie/src/programs.rkt:89:0 -------------------------------------------------------------------------- simplify [29] 49.8% map [106] 50.2% [121] 402(0.2%) 402(0.2%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 -------------------------------------------------------------------------- map [106] 100.0% [122] 402(0.2%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [132] 50.2% debug-print [130] 49.8% -------------------------------------------------------------------------- map [106] 100.0% [123] 222(0.1%) 0(0.0%) make-addition-node ...ie/src/core/reduce.rkt:199:0 partition [131] 100.0% -------------------------------------------------------------------------- hash-update! [115] 100.0% [124] 10948(6.5%) 444(0.3%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [133] 93.8% make-sequence [138] 2.2% -------------------------------------------------------------------------- parse-loop12 [125] 11.3% map [106] 11.6% append-map [48] 17.1% hash-ref! [114] 17.9% simplify [29] 42.1% [125] 4742(2.8%) 1384(0.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-app [135] 18.6% loop [132] 17.9% f6 [95] 14.8% parse-loop12 [125] 11.3% for-loop [137] 10.8% make-multiplication-node [145] 2.1% map [106] 1.6% ??? [140] 1.1% -------------------------------------------------------------------------- hash-ref! [114] 100.0% [126] 4548(2.7%) 684(0.4%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [114] 52.3% loop [132] 43.0% -------------------------------------------------------------------------- hash-ref! [114] 100.0% [127] 3050(1.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [114] 100.0% -------------------------------------------------------------------------- hash-ref! [114] 100.0% [128] 1954(1.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [134] 62.2% sig+exp->bigfloat [136] 37.8% -------------------------------------------------------------------------- for-loop [116] 100.0% [129] 1730(1.0%) 1730(1.0%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- taylor [122] 31.2% simplify [29] 68.8% [130] 642(0.4%) 400(0.2%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [139] 37.7% -------------------------------------------------------------------------- make-addition-node [123] 100.0% [131] 222(0.1%) 222(0.1%) partition ...racket/collects/racket/list.rkt:547:0 -------------------------------------------------------------------------- errors-score [70] 0.0% make-exacts* [81] 0.1% parse-loop12 [125] 0.3% f6 [95] 0.4% taylor [122] 0.4% map [106] 0.4% for-loop [71] 0.9% map-enodes [37] 1.0% post-process [28] 1.9% append-map [48] 2.1% extract-alt [31] 2.6% match-e [63] 3.2% ??? [126] 4.0% loop! [94] 7.3% loop [132] 75.4% [132] 48754(28.8%) 2882(1.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [132] 75.4% loop! [94] 6.0% hash-ref! [114] 4.0% simplify [3] 2.6% taylor-alt [56] 2.1% completely-simplify-alt [4] 1.4% for-loop [142] 0.9% foldl [144] 0.9% localize-error [42] 0.5% ??? [141] 0.4% simplify [29] 0.4% ??? [10] 0.3% ??? [170] 0.1% ->flonum [150] 0.0% -------------------------------------------------------------------------- ??? [124] 100.0% [133] 10264(6.1%) 9212(5.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [143] 10.2% -------------------------------------------------------------------------- bigfloat-hash [128] 100.0% [134] 1216(0.7%) 1216(0.7%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- f6 [95] 18.6% parse-loop12 [125] 81.4% [135] 1086(0.6%) 1086(0.6%) parse-app .../collects/racket/private/kw.rkt:903:2 -------------------------------------------------------------------------- bigfloat-hash [128] 100.0% [136] 738(0.4%) 506(0.3%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [146] 31.4% -------------------------------------------------------------------------- parse-loop12 [125] 100.0% [137] 622(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f6 [95] 64.6% make-multiplication-node [145] 35.4% -------------------------------------------------------------------------- for-loop [49] 45.7% ??? [124] 54.3% [138] 442(0.3%) 240(0.1%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [147] 45.7% -------------------------------------------------------------------------- debug-print [130] 100.0% [139] 242(0.1%) 242(0.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- parse-loop12 [125] 100.0% [140] 200(0.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 foldl [144] 100.0% -------------------------------------------------------------------------- map [106] 1.0% for-loop [99] 5.4% loop [132] 93.6% [141] 19686(11.6%) 486(0.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [148] 82.5% real->bigfloat [151] 10.2% ??? [171] 1.3% ->flonum [150] 1.0% -------------------------------------------------------------------------- map-enodes [37] 10.1% loop [132] 89.9% [142] 6364(3.8%) 1346(0.8%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [149] 45.1% eval-const-expr [152] 16.7% compose [153] 9.8% ->flonum [150] 7.3% -------------------------------------------------------------------------- update-leader! [80] 6.7% for-loop [92] 12.6% for-loop [133] 32.7% loop! [94] 48.0% [143] 3216(1.9%) 3216(1.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- ??? [140] 32.2% loop [132] 67.8% [144] 622(0.4%) 402(0.2%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [155] 35.4% -------------------------------------------------------------------------- parse-loop12 [125] 47.9% for-loop [137] 52.1% [145] 422(0.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [154]100.0% -------------------------------------------------------------------------- sig+exp->bigfloat [136] 100.0% [146] 232(0.1%) 232(0.1%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 -------------------------------------------------------------------------- make-sequence [138] 100.0% [147] 202(0.1%) 202(0.1%) ??? ...acket/collects/racket/private/for.rkt:428:7 -------------------------------------------------------------------------- ??? [141] 100.0% [148] 16236(9.6%) 1080(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [170] 54.6% ...higher-order.rkt:373:33 [156] 21.0% bf* [167] 13.5% ...higher-order.rkt:369:33 [158] 2.8% bf> [163] 1.4% -------------------------------------------------------------------------- for-loop [142] 100.0% [149] 2870(1.7%) 1984(1.2%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [157] 23.9% constant? [168] 7.0% -------------------------------------------------------------------------- ??? [141] 9.1% for-loop [99] 18.1% for-loop [142] 20.9% loop [132] 22.5% map [106] 29.3% [150] 2210(1.3%) 624(0.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [173] 32.6% ??? [159] 19.9% ??? [160] 19.3% -------------------------------------------------------------------------- ??? [141] 100.0% [151] 2014(1.2%) 1648(1.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [175] 18.2% -------------------------------------------------------------------------- for-loop [142] 100.0% [152] 1064(0.6%) 220(0.1%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [161] 38.0% bfcube [162] 22.7% bf* [167] 18.6% -------------------------------------------------------------------------- f6 [95] 24.3% for-loop [142] 75.7% [153] 822(0.5%) 822(0.5%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- make-multiplication-node [145] 100.0% [154] 422(0.2%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [164] 52.1% group-by68 [165] 47.9% -------------------------------------------------------------------------- foldl [144] 100.0% [155] 220(0.1%) 220(0.1%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- ??? [148] 100.0% [156] 3416(2.0%) 212(0.1%) ...higher-order.rkt:373:33 (unknown source) ??? [166] 87.4% ??? [171] 6.4% -------------------------------------------------------------------------- setfindf [149] 100.0% [157] 686(0.4%) 462(0.3%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 constant? [168] 32.7% -------------------------------------------------------------------------- ??? [148] 100.0% [158] 454(0.3%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [171] 100.0% -------------------------------------------------------------------------- ->flonum [150] 100.0% [159] 440(0.3%) 440(0.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- ->flonum [150] 100.0% [160] 426(0.3%) 426(0.3%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 -------------------------------------------------------------------------- eval-const-expr [152] 100.0% [161] 404(0.2%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [169] 100.0% -------------------------------------------------------------------------- eval-const-expr [152] 100.0% [162] 242(0.1%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [167] 100.0% -------------------------------------------------------------------------- ??? [148] 100.0% [163] 228(0.1%) 0(0.0%) bf> ...th/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [173] 100.0% -------------------------------------------------------------------------- make-multiplication-subnode [154]100.0% [164] 220(0.1%) 220(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 -------------------------------------------------------------------------- make-multiplication-subnode [154]100.0% [165] 202(0.1%) 202(0.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------- ...higher-order.rkt:373:33 [156] 100.0% [166] 2984(1.8%) 216(0.1%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [171] 92.8% -------------------------------------------------------------------------- eval-const-expr [152] 7.5% bfcube [162] 9.2% ??? [148] 83.3% [167] 2628(1.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [170] 100.0% -------------------------------------------------------------------------- setfindf [149] 17.8% for-loop [157] 19.9% match-e [63] 62.3% [168] 1126(0.7%) 1126(0.7%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- inductor [169] 50.0% expression-induct31 [161] 50.0% [169] 404(0.2%) 204(0.1%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [169] 50.0% ??? [171] 24.8% -------------------------------------------------------------------------- loop [132] 1.7% bf* [167] 22.5% ??? [148] 75.8% [170] 11698(6.9%) 676(0.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [172] 76.3% ??? [173] 17.9% -------------------------------------------------------------------------- inductor [169] 5.1% ...higher-order.rkt:373:33 [156] 5.6% ??? [141] 6.6% ...higher-order.rkt:369:33 [158] 11.6% ??? [166] 71.0% [171] 3900(2.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [173] 100.0% -------------------------------------------------------------------------- ??? [170] 100.0% [172] 8930(5.3%) 7628(4.5%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [175] 14.6% -------------------------------------------------------------------------- bf> [163] 3.3% ->flonum [150] 10.4% ??? [170] 30.1% ??? [171] 56.2% [173] 6940(4.1%) 3006(1.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [174] 50.4% ??? [176] 6.3% -------------------------------------------------------------------------- ??? [173] 100.0% [174] 3498(2.1%) 2260(1.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [177] 35.4% -------------------------------------------------------------------------- real->bigfloat [151] 21.9% bfadd [172] 78.1% [175] 1668(1.0%) 1668(1.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [173] 100.0% [176] 436(0.3%) 436(0.3%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -------------------------------------------------------------------------- ??? [174] 100.0% [177] 1238(0.7%) 1238(0.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------