Profiling results ----------------- Total cpu time observed: 107594ms (out of 108200ms) Number of samples taken: 472 (once every 228ms) (Hiding functions with self<1.0% and local<2.0%: 12 of 188 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [52] 100.0% [1] 99488(92.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% -------------------------------------------------------------------------- ??? [52] 100.0% [2] 89056(82.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [15] 96.7% get-final-combination [22] 2.1% loop [62] 0.7% setup-prog [23] 0.5% -------------------------------------------------------------------------- simplify-alt [33] 0.6% loop [149] 2.2% ??? [52] 97.3% [3] 78046(72.5%) 578(0.5%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [16] 51.9% for-loop [17] 25.6% iterate-egraph!5 [28] 19.8% loop [29] 2.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [4] 3506(3.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [5] 3086(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [6] 2068(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [20] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [7] 2066(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [21] 100.0% -------------------------------------------------------------------------- map [111] 100.0% [8] 1426(1.3%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [114] 71.8% combine-aterms [25] 14.2% f16 [96] 14.0% -------------------------------------------------------------------------- f16 [96] 100.0% [9] 404(0.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [83] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [10] 220(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [24] 100.0% -------------------------------------------------------------------------- f16 [96] 100.0% [11] 200(0.2%) 0(0.0%) taylor-exp ...ock/herbie/src/core/taylor.rkt:386:0 simplify [83] 100.0% -------------------------------------------------------------------------- f16 [96] 100.0% [12] 200(0.2%) 0(0.0%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [26] 100.0% -------------------------------------------------------------------------- f16 [96] 100.0% [13] 200(0.2%) 0(0.0%) taylor-log ...ock/herbie/src/core/taylor.rkt:476:0 simplify [83] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [14] 99488(92.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [52] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 86124(80.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [27] 100.0% -------------------------------------------------------------------------- simplify [3] 100.0% [16] 40500(37.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [28] 94.0% loop [29] 5.5% mk-egraph [34] 0.5% -------------------------------------------------------------------------- simplify [3] 100.0% [17] 19990(18.6%) 330(0.3%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [28] 89.8% loop [29] 8.5% -------------------------------------------------------------------------- ??? [4] 100.0% [18] 3506(3.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [30] 60.6% hash-ref! [137] 39.4% -------------------------------------------------------------------------- ??? [5] 100.0% [19] 3086(2.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [137] 100.0% -------------------------------------------------------------------------- ??? [6] 100.0% [20] 2068(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [122] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [21] 2066(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [31] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [22] 1902(1.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [32] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [23] 436(0.4%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [33] 100.0% -------------------------------------------------------------------------- ??? [10] 100.0% [24] 220(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [137] 100.0% -------------------------------------------------------------------------- simplify-node [8] 100.0% [25] 202(0.2%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [35] 100.0% -------------------------------------------------------------------------- combine-mterms [12] 100.0% [26] 200(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [137] 100.0% -------------------------------------------------------------------------- for-loop [15] 100.0% [27] 86124(80.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [36] 87.9% gen-series! [38] 8.1% finalize-iter! [41] 3.0% gen-rewrites! [42] 0.7% -------------------------------------------------------------------------- simplify [3] 21.6% for-loop [17] 25.1% simplify-expr [16] 53.3% [28] 71456(66.4%) 772(0.7%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [37] 93.3% map-enodes [40] 5.3% debug7 [132] 0.3% -------------------------------------------------------------------------- simplify [3] 28.3% for-loop [17] 31.1% simplify-expr [16] 40.5% [29] 5462(5.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [39] 100.0% -------------------------------------------------------------------------- for-loop [18] 100.0% [30] 2886(2.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [137] 100.0% -------------------------------------------------------------------------- for-loop [21] 100.0% [31] 2066(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [137] 89.4% simplify [83] 10.6% -------------------------------------------------------------------------- get-final-combination [22] 100.0% [32] 1902(1.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [149] 89.4% argmins [44] 10.6% -------------------------------------------------------------------------- setup-prog [23] 100.0% [33] 436(0.4%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------- simplify-expr [16] 100.0% [34] 220(0.2%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [43] 100.0% -------------------------------------------------------------------------- combine-aterms [25] 100.0% [35] 202(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [137] 100.0% -------------------------------------------------------------------------- run-iter! [27] 100.0% [36] 75730(70.4%) 242(0.2%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [45] 99.7% -------------------------------------------------------------------------- iterate-egraph!5 [28] 100.0% [37] 66674(62.0%) 1584(1.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [46] 50.9% for-loop [47] 46.4% -------------------------------------------------------------------------- run-iter! [27] 100.0% [38] 6970(6.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [48] 100.0% -------------------------------------------------------------------------- loop [29] 100.0% [39] 5462(5.1%) 462(0.4%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [49] 91.5% -------------------------------------------------------------------------- iterate-egraph!5 [28] 100.0% [40] 3810(3.5%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [149] 100.0% -------------------------------------------------------------------------- run-iter! [27] 100.0% [41] 2602(2.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [50] 100.0% -------------------------------------------------------------------------- run-iter! [27] 100.0% [42] 622(0.6%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [51] 100.0% -------------------------------------------------------------------------- mk-egraph [34] 25.0% expr->enode [43] 75.0% [43] 220(0.2%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [43] 75.0% mk-enode! [88] 25.0% -------------------------------------------------------------------------- extract-alt [32] 100.0% [44] 202(0.2%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 expression-cost [64] 100.0% -------------------------------------------------------------------------- simplify! [36] 99.7% [45] 75690(70.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [52] 100.0% -------------------------------------------------------------------------- one-iter [37] 100.0% [46] 33912(31.5%) 222(0.2%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [53] 99.3% -------------------------------------------------------------------------- for-loop [47] 48.9% one-iter [37] 51.1% [47] 30938(28.8%) 4578(4.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [47] 48.9% match-e [61] 42.3% ??? [100] 0.3% -------------------------------------------------------------------------- gen-series! [38] 100.0% [48] 6970(6.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [54] 100.0% -------------------------------------------------------------------------- pass [39] 100.0% [49] 5000(4.6%) 240(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [55] 51.5% loop [57] 25.4% for-loop [58] 14.0% make-sequence [91] 4.3% -------------------------------------------------------------------------- finalize-iter! [41] 100.0% [50] 2602(2.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [56] 92.3% atab-add-altns [60] 7.7% -------------------------------------------------------------------------- gen-rewrites! [42] 100.0% [51] 622(0.6%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [59] 100.0% -------------------------------------------------------------------------- for-loop [45] 24.8% run [14] 35.9% [52] 106514(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 35.9% run-improve58 [2] 31.2% simplify [3] 25.0% loop [62] 8.0% -------------------------------------------------------------------------- loop [46] 100.0% [53] 33690(31.3%) 422(0.4%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [70] 38.1% match-e [61] 17.7% update-leader! [80] 14.7% loop! [95] 11.9% for-loop [66] 6.8% substitute-e [74] 5.2% mk-enode! [88] 2.4% reduce-to-single! [67] 1.8% -------------------------------------------------------------------------- for-loop [48] 100.0% [54] 6970(6.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [63] 100.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [55] 2576(2.4%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [64] 100.0% -------------------------------------------------------------------------- ??? [50] 100.0% [56] 2402(2.2%) 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% [57] 1268(1.2%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [64] 100.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [58] 702(0.7%) 702(0.7%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [51] 100.0% [59] 622(0.6%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [68] 100.0% -------------------------------------------------------------------------- ??? [50] 100.0% [60] 200(0.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [65] 100.0% -------------------------------------------------------------------------- apply-match [53] 13.5% for-loop [81] 17.8% for-loop [47] 68.7% [61] 32116(29.8%) 15350(14.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [69] 44.6% for-loop [81] 7.1% loop [149] 2.8% list-cartesian-product [86] 2.3% constant? [162] 0.9% custom-in-set [163] 0.7% -------------------------------------------------------------------------- run-improve58 [2] 3.4% ??? [52] 96.6% [62] 17630(16.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [71] 53.4% make-exacts* [82] 45.5% loop [85] 1.1% -------------------------------------------------------------------------- taylor-alt [54] 100.0% [63] 6970(6.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [72] 100.0% -------------------------------------------------------------------------- argmins [44] 5.0% loop [57] 31.3% argmin [55] 63.7% [64] 4046(3.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [73] 100.0% -------------------------------------------------------------------------- atab-add-altns [60] 7.7% for-loop [56] 92.3% [65] 2602(2.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [75] 69.7% override-at-pnts [76] 30.3% -------------------------------------------------------------------------- apply-match [53] 100.0% [66] 2302(2.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [95] 69.4% mk-enode! [88] 10.5% merge-egraph-nodes! [70] 10.4% substitute-e [74] 9.6% -------------------------------------------------------------------------- apply-match [53] 100.0% [67] 622(0.6%) 202(0.2%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [79] 35.4% make-sequence [91] 32.2% -------------------------------------------------------------------------- ??? [59] 10.4% matcher [92] 89.6% [68] 622(0.6%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [77] 93.2% *rules* [78] 6.8% -------------------------------------------------------------------------- match-e [61] 100.0% [69] 17020(15.8%) 6762(6.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [81] 39.1% list-cartesian-product [86] 18.8% foldl [153] 4.1% -------------------------------------------------------------------------- for-loop [93] 0.6% for-loop [66] 1.8% merge-egraph-nodes! [70] 3.9% apply-match [53] 93.7% [70] 13090(12.2%) 200(0.2%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [80] 70.3% enode-merge! [89] 8.0% loop! [95] 7.9% merge-egraph-nodes! [70] 3.9% for-loop [90] 3.3% for-loop [93] 2.1% make-sequence [91] 1.8% -------------------------------------------------------------------------- loop [62] 100.0% [71] 9406(8.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [85] 56.8% make-exacts* [82] 34.4% eval-prog [98] 8.8% -------------------------------------------------------------------------- location-do [72] 34.4% for-loop [63] 65.6% [72] 6970(6.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [84] 62.4% location-do [72] 34.4% simplify [83] 3.3% -------------------------------------------------------------------------- expression-cost [64] 100.0% [73] 4046(3.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [137] 100.0% -------------------------------------------------------------------------- substitute-e [74] 10.7% for-loop [66] 11.3% apply-match [53] 78.0% [74] 1962(1.8%) 662(0.6%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [88] 66.3% substitute-e [74] 10.7% -------------------------------------------------------------------------- atab-add-altn [65] 100.0% [75] 1814(1.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [87] 100.0% -------------------------------------------------------------------------- atab-add-altn [65] 100.0% [76] 788(0.7%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [87] 100.0% -------------------------------------------------------------------------- rewriter [68] 100.0% [77] 622(0.6%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [92] 100.0% -------------------------------------------------------------------------- rewriter [68] 100.0% [78] 422(0.4%) 0(0.0%) *rules* ...tlock/herbie/src/syntax/rules.rkt:296:0 for-loop [90] 100.0% -------------------------------------------------------------------------- reduce-to-single! [67] 100.0% [79] 220(0.2%) 220(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------- apply-match [53] 34.4% merge-egraph-nodes! [70] 65.6% [80] 14416(13.4%) 1126(1.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [94] 88.8% hash-ref! [137] 1.7% custom-set-union! [108] 1.7% -------------------------------------------------------------------------- match-e [61] 34.7% for-loop [69] 65.3% [81] 12310(11.4%) 642(0.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [61] 89.9% ??? [100] 5.7% -------------------------------------------------------------------------- loop [71] 28.7% loop [62] 71.3% [82] 11262(10.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [111] 49.6% loop [149] 42.5% eval-prog [98] 7.9% -------------------------------------------------------------------------- taylor-log [13] 3.0% taylor-exp [11] 3.0% for-loop [31] 3.3% location-do [72] 5.9% taylor-invert [9] 6.0% hash-ref! [137] 78.9% [83] 6768(6.3%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [96] 81.9% debug-print [101] 12.1% debug7 [132] 6.0% -------------------------------------------------------------------------- location-do [72] 100.0% [84] 6568(6.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [97] 81.3% f16 [96] 18.7% -------------------------------------------------------------------------- loop [62] 3.6% loop [71] 96.4% [85] 5542(5.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [111] 100.0% -------------------------------------------------------------------------- match-e [61] 15.1% list-cartesian-product [86] 21.9% for-loop [69] 63.0% [86] 5050(4.7%) 4388(4.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [86] 21.9% for-loop [103] 8.6% -------------------------------------------------------------------------- override-at-pnts [76] 30.3% best-and-tied-at-points [75] 69.7% [87] 2602(2.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [99] 53.4% eval-prog [98] 46.6% -------------------------------------------------------------------------- expr->enode [43] 8.5% for-loop [66] 9.4% apply-match [53] 31.8% substitute-e [74] 50.3% [88] 2584(2.4%) 1964(1.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [105] 16.3% new-enode [110] 7.7% -------------------------------------------------------------------------- merge-egraph-nodes! [70] 100.0% [89] 1168(1.1%) 222(0.2%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [102] 60.4% custom-set-intersect! [107] 20.5% -------------------------------------------------------------------------- *rules* [78] 49.1% merge-egraph-nodes! [70] 50.9% [90] 860(0.8%) 638(0.6%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ormap [109] 25.8% -------------------------------------------------------------------------- reduce-to-single! [67] 30.5% for-loop [49] 32.6% merge-egraph-nodes! [70] 36.9% [91] 656(0.6%) 414(0.4%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [106] 36.9% -------------------------------------------------------------------------- matcher [92] 5.6% for-loop [104] 44.4% for-loop [77] 50.0% [92] 622(0.6%) 200(0.2%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 rewriter [68] 48.2% for-loop [104] 44.4% matcher [92] 5.6% -------------------------------------------------------------------------- merge-egraph-nodes! [70] 100.0% [93] 430(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [70] 53.0% loop! [95] 47.0% -------------------------------------------------------------------------- update-leader! [80] 100.0% [94] 12808(11.9%) 664(0.6%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [112] 94.8% -------------------------------------------------------------------------- for-loop [93] 2.9% merge-egraph-nodes! [70] 11.6% for-loop [66] 14.7% loop [149] 26.7% apply-match [53] 44.1% [95] 6958(6.5%) 840(0.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [113] 36.7% loop [149] 36.6% set [115] 12.8% update-en-expr [145] 6.4% -------------------------------------------------------------------------- simplify-node [8] 0.5% parse-loop12 [122] 0.9% loop [149] 3.8% composed [116] 4.1% append-map [114] 4.7% approximate9 [84] 5.2% f16 [96] 8.7% simplify [83] 32.6% map [111] 39.2% [96] 6368(5.9%) 220(0.2%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [111] 65.2% append-map [114] 9.4% f16 [96] 8.7% composed [116] 7.6% taylor-exp [11] 1.0% taylor-invert [9] 0.5% taylor-log [13] 0.4% combine-mterms [12] 0.4% compose [158] 0.2% -------------------------------------------------------------------------- approximate9 [84] 100.0% [97] 5342(5.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [137] 100.0% -------------------------------------------------------------------------- loop [71] 28.2% make-exacts* [82] 30.5% errors [87] 41.3% [98] 2932(2.7%) 990(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [137] 59.7% inductor [168] 6.5% -------------------------------------------------------------------------- errors [87] 100.0% [99] 1390(1.3%) 202(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [151] 85.5% -------------------------------------------------------------------------- for-loop [47] 22.3% for-loop [81] 77.7% [100] 906(0.8%) 422(0.4%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [118] 53.4% -------------------------------------------------------------------------- simplify [83] 100.0% [101] 820(0.8%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [117] 100.0% -------------------------------------------------------------------------- enode-merge! [89] 100.0% [102] 706(0.7%) 242(0.2%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [113] 65.7% -------------------------------------------------------------------------- list-cartesian-product [86] 100.0% [103] 662(0.6%) 662(0.6%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- matcher [92] 100.0% [104] 622(0.6%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [92] 100.0% -------------------------------------------------------------------------- mk-enode! [88] 100.0% [105] 420(0.4%) 420(0.4%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- make-sequence [91] 100.0% [106] 242(0.2%) 242(0.2%) ??? ...acket/collects/racket/private/for.rkt:428:7 -------------------------------------------------------------------------- enode-merge! [89] 100.0% [107] 240(0.2%) 240(0.2%) custom-set-intersect! ...ivate/set-types.rkt:270:0 -------------------------------------------------------------------------- update-leader! [80] 100.0% [108] 240(0.2%) 0(0.0%) custom-set-union! ...t/private/set-types.rkt:246:0 for-loop [119] 100.0% -------------------------------------------------------------------------- for-loop [90] 100.0% [109] 222(0.2%) 0(0.0%) ormap ...et/collects/racket/private/map.rkt:106:13 ??? [120] 100.0% -------------------------------------------------------------------------- mk-enode! [88] 100.0% [110] 200(0.2%) 200(0.2%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 -------------------------------------------------------------------------- parse-loop12 [122] 4.0% f16 [96] 28.3% loop [85] 33.7% make-exacts* [82] 34.0% [111] 16432(15.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [149] 67.5% f16 [96] 17.2% parse-loop12 [122] 10.0% simplify-node [8] 1.8% ??? [151] 1.4% taylor [128] 1.2% ??? [127] 0.2% make-multiplication-node [133] 0.2% -------------------------------------------------------------------------- for-loop [94] 100.0% [112] 12144(11.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [121] 100.0% -------------------------------------------------------------------------- adopt-enode! [102] 13.8% loop! [95] 86.2% [113] 3360(3.1%) 1410(1.3%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [123] 31.1% for-loop [124] 26.9% -------------------------------------------------------------------------- append-map [114] 5.9% simplify-node [8] 45.6% f16 [96] 48.5% [114] 2246(2.1%) 620(0.6%) append-map ...acket/collects/racket/list.rkt:565:2 parse-loop12 [122] 20.9% f16 [96] 20.8% free-variables [125] 19.3% gather-additive-terms6 [126] 18.8% append-map [114] 5.9% -------------------------------------------------------------------------- loop! [95] 100.0% [115] 1856(1.7%) 1856(1.7%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- f16 [96] 100.0% [116] 1242(1.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f16 [96] 82.3% free-variables [125] 17.7% -------------------------------------------------------------------------- debug-print [101] 100.0% [117] 820(0.8%) 820(0.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- ??? [100] 100.0% [118] 484(0.4%) 484(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- custom-set-union! [108] 100.0% [119] 240(0.2%) 240(0.2%) for-loop ...cts/racket/private/set-types.rkt:254:4 -------------------------------------------------------------------------- ormap [109] 100.0% [120] 222(0.2%) 222(0.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- for-loop [112] 100.0% [121] 12144(11.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [129] 100.0% -------------------------------------------------------------------------- loop [149] 1.6% parse-loop12 [122] 4.4% hash-ref! [137] 4.9% append-map [114] 6.1% for-loop [20] 29.7% map [111] 53.2% [122] 4098(3.8%) 846(0.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 map [111] 29.8% for-loop [130] 29.7% f16 [96] 10.3% loop [149] 9.5% make-multiplication-node [133] 6.1% parse-loop12 [122] 4.4% parse-app [135] 1.2% -------------------------------------------------------------------------- custom-set-union [113] 100.0% [123] 1046(1.0%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [131] 100.0% -------------------------------------------------------------------------- custom-set-union [113] 100.0% [124] 904(0.8%) 904(0.8%) for-loop ...cts/racket/private/set-types.rkt:152:2 -------------------------------------------------------------------------- composed [116] 26.8% append-map [114] 73.2% [125] 822(0.8%) 822(0.8%) free-variables ...ock/herbie/src/programs.rkt:89:0 -------------------------------------------------------------------------- append-map [114] 100.0% [126] 422(0.4%) 422(0.4%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 -------------------------------------------------------------------------- map [111] 100.0% [127] 202(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [134] 100.0% -------------------------------------------------------------------------- map [111] 100.0% [128] 202(0.2%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [132] 100.0% -------------------------------------------------------------------------- hash-update! [121] 100.0% [129] 12144(11.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [136] 100.0% -------------------------------------------------------------------------- parse-loop12 [122] 100.0% [130] 2068(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [137] 100.0% -------------------------------------------------------------------------- for-loop [123] 100.0% [131] 1046(1.0%) 1046(1.0%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- iterate-egraph!5 [28] 24.8% taylor [128] 25.1% simplify [83] 50.1% [132] 806(0.7%) 202(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 assoc-ref [139] 25.1% ??? [141] 25.1% return/no-unsupplied [142] 24.8% -------------------------------------------------------------------------- map [111] 24.9% parse-loop12 [122] 75.1% [133] 802(0.7%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [138]100.0% -------------------------------------------------------------------------- ??? [127] 100.0% [134] 202(0.2%) 202(0.2%) pattern-match .../herbie/src/core/matcher.rkt:47:0 -------------------------------------------------------------------------- parse-loop12 [122] 100.0% [135] 202(0.2%) 0(0.0%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [140] 100.0% -------------------------------------------------------------------------- ??? [129] 100.0% [136] 12144(11.3%) 10820(10.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [145] 10.9% -------------------------------------------------------------------------- for-loop [24] 0.1% for-loop [35] 0.6% for-loop [26] 1.7% update-leader! [80] 2.0% for-loop [31] 2.9% for-loop [18] 3.8% for-loop [130] 3.9% ??? [30] 4.1% eval-prog [98] 4.4% for-loop [19] 7.6% loop [149] 10.2% ??? [144] 11.4% loop [97] 11.4% compile [73] 12.2% ??? [143] 21.5% [137] 12000(11.2%) 4690(4.4%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [143] 33.6% simplify [83] 11.6% ??? [144] 11.4% ??? [4] 7.8% ??? [5] 7.6% ??? [6] 3.9% ??? [7] 3.4% bigfloat-hash [146] 2.6% parse-loop12 [122] 1.7% ??? [10] 0.1% -------------------------------------------------------------------------- make-multiplication-node [133] 100.0% [138] 802(0.7%) 400(0.4%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [147] 50.1% -------------------------------------------------------------------------- debug7 [132] 100.0% [139] 202(0.2%) 202(0.2%) assoc-ref ...collects/racket/private/dict.rkt:56:0 -------------------------------------------------------------------------- parse-app [135] 100.0% [140] 202(0.2%) 202(0.2%) loop .../collects/racket/private/stxcase.rkt:112:7 -------------------------------------------------------------------------- debug7 [132] 100.0% [141] 202(0.2%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [148] 100.0% -------------------------------------------------------------------------- debug7 [132] 100.0% [142] 200(0.2%) 200(0.2%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 -------------------------------------------------------------------------- hash-ref! [137] 100.0% [143] 5372(5.0%) 222(0.2%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [137] 67.4% loop [149] 28.4% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [144] 5342(5.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [137] 100.0% -------------------------------------------------------------------------- loop! [95] 33.9% for-loop [136] 66.1% [145] 2002(1.9%) 2002(1.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- hash-ref! [137] 100.0% [146] 1528(1.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [150] 100.0% -------------------------------------------------------------------------- make-multiplication-subnode [138]100.0% [147] 402(0.4%) 402(0.4%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------- ??? [141] 100.0% [148] 202(0.2%) 202(0.2%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 -------------------------------------------------------------------------- parse-loop12 [122] 0.6% make-exacts* [82] 0.8% map-enodes [40] 2.3% map [111] 2.3% match-e [61] 3.4% extract-alt [32] 4.7% ??? [143] 5.2% loop! [95] 7.5% loop [149] 73.2% [149] 29190(27.1%) 1388(1.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [149] 73.2% loop! [95] 6.2% hash-ref! [137] 5.2% simplify [3] 4.7% for-loop [152] 2.2% f16 [96] 1.7% ??? [151] 1.7% foldl [153] 1.0% parse-loop12 [122] 0.1% bf* [160] 0.0% -------------------------------------------------------------------------- bigfloat-hash [146] 100.0% [150] 1528(1.4%) 1528(1.4%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- map [111] 1.4% for-loop [99] 6.9% loop [149] 91.7% [151] 17098(15.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [154] 93.4% real->bigfloat [159] 3.9% ??? [170] 1.4% -------------------------------------------------------------------------- loop [149] 100.0% [152] 3608(3.4%) 220(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [155] 49.4% eval-const-expr [156] 31.2% compose [158] 13.3% -------------------------------------------------------------------------- loop [149] 37.7% for-loop [69] 62.3% [153] 1124(1.0%) 240(0.2%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [157] 78.6% -------------------------------------------------------------------------- ??? [151] 100.0% [154] 15974(14.8%) 1644(1.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [166] 42.8% bf* [160] 33.5% ...higher-order.rkt:373:33 [161] 13.4% -------------------------------------------------------------------------- for-loop [152] 100.0% [155] 1782(1.7%) 1140(1.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [164] 12.3% custom-in-set [163] 12.3% constant? [162] 11.3% -------------------------------------------------------------------------- for-loop [152] 100.0% [156] 1126(1.0%) 222(0.2%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ??? [166] 41.2% expression-induct31 [165] 19.5% bf* [160] 19.5% -------------------------------------------------------------------------- foldl [153] 100.0% [157] 884(0.8%) 884(0.8%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- f16 [96] 29.6% for-loop [152] 70.4% [158] 682(0.6%) 682(0.6%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- ??? [151] 100.0% [159] 668(0.6%) 448(0.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [174] 32.9% -------------------------------------------------------------------------- loop [149] 3.5% eval-const-expr [156] 3.8% ??? [154] 92.7% [160] 5772(5.4%) 198(0.2%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [166] 96.6% -------------------------------------------------------------------------- ??? [154] 100.0% [161] 2138(2.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [167] 88.9% ??? [170] 11.1% -------------------------------------------------------------------------- setfindf [155] 33.6% match-e [61] 66.4% [162] 602(0.6%) 602(0.6%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- setfindf [155] 47.8% match-e [61] 52.2% [163] 460(0.4%) 460(0.4%) custom-in-set ...acket/private/set-types.rkt:578:0 -------------------------------------------------------------------------- setfindf [155] 100.0% [164] 220(0.2%) 220(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------- eval-const-expr [156] 100.0% [165] 220(0.2%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [168] 100.0% -------------------------------------------------------------------------- eval-const-expr [156] 3.6% bf* [160] 43.3% ??? [154] 53.1% [166] 12878(12.0%) 2710(2.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [169] 43.6% bfexp [171] 17.9% ??? [173] 17.5% -------------------------------------------------------------------------- ...higher-order.rkt:373:33 [161] 100.0% [167] 1900(1.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [170] 100.0% -------------------------------------------------------------------------- inductor [168] 26.7% expression-induct31 [165] 26.7% eval-prog [98] 46.6% [168] 412(0.4%) 220(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 ->bf [172] 46.6% inductor [168] 26.7% -------------------------------------------------------------------------- ??? [166] 100.0% [169] 5610(5.2%) 3752(3.5%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [174] 33.1% -------------------------------------------------------------------------- ??? [151] 9.8% ...higher-order.rkt:373:33 [161] 10.0% ??? [167] 80.2% [170] 2370(2.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [173] 100.0% -------------------------------------------------------------------------- ??? [166] 100.0% [171] 2304(2.1%) 1568(1.5%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [174] 31.9% -------------------------------------------------------------------------- inductor [168] 100.0% [172] 192(0.2%) 0(0.0%) ->bf ...tatlock/herbie/src/syntax/syntax.rkt:241:0 ??? [173] 100.0% -------------------------------------------------------------------------- ->bf [172] 4.0% ??? [166] 46.8% ??? [170] 49.2% [173] 4816(4.5%) 2058(1.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [175] 57.3% -------------------------------------------------------------------------- real->bigfloat [159] 7.8% bfexp [171] 26.2% bfmul [169] 66.0% [174] 2814(2.6%) 2814(2.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [173] 100.0% [175] 2758(2.6%) 2044(1.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [176] 25.9% -------------------------------------------------------------------------- ??? [175] 100.0% [176] 714(0.7%) 714(0.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------