Profiling results ----------------- Total cpu time observed: 299722ms (out of 303564ms) Number of samples taken: 1308 (once every 229ms) (Hiding functions with self<1.0% and local<2.0%: 14 of 198 hidden) ================================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================ ??? [70] 100.0% [1] 293004(97.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [16] 100.0% -------------------------------------------------------------------------------- ??? [70] 100.0% [2] 204398(68.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [17] 90.6% for-loop [22] 7.7% loop [78] 1.4% get-final-combination [30] 0.4% -------------------------------------------------------------------------------- for-loop [64] 0.6% loop [121] 1.0% append-map [137] 98.4% [3] 181202(60.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [18] 100.0% -------------------------------------------------------------------------------- hash-ref! [152] 100.0% [4] 153798(51.3%) 438(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 99.9% parse-loop12 [43] 0.1% -------------------------------------------------------------------------------- hash-ref! [152] 100.0% [5] 119578(39.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [20] 100.0% -------------------------------------------------------------------------------- hash-ref! [152] 100.0% [6] 57756(19.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [21] 92.8% hash-ref! [152] 7.2% -------------------------------------------------------------------------------- approximate9 [41] 0.8% hash-ref! [152] 2.4% map [136] 14.7% f6 [131] 82.0% [7] 24486(8.2%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [33] 64.1% first-nonzero-exp [25] 35.9% -------------------------------------------------------------------------------- f6 [131] 100.0% [8] 20618(6.9%) 8826(2.9%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [24] 57.2% -------------------------------------------------------------------------------- loop [121] 5.9% ??? [70] 94.1% [9] 14632(4.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [23] 54.3% for-loop [29] 27.3% iterate-egraph!5 [35] 18.4% -------------------------------------------------------------------------------- hash-ref! [152] 100.0% [10] 9598(3.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [26] 100.0% -------------------------------------------------------------------------------- hash-ref! [152] 100.0% [11] 6400(2.1%) 220(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [27] 96.6% -------------------------------------------------------------------------------- hash-ref! [152] 100.0% [12] 5096(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [28] 100.0% -------------------------------------------------------------------------------- post-process [31] 4.4% loop [121] 95.6% [13] 4560(1.5%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [23] 100.0% -------------------------------------------------------------------------------- map [136] 9.9% f6 [131] 90.1% [14] 4030(1.3%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [33] 63.2% first-nonzero-exp [25] 36.8% -------------------------------------------------------------------------------- ??? [144] 16.1% f6 [131] 83.9% [15] 1240(0.4%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [47] 33.7% debug-print [46] 32.1% loop [121] 17.9% curried [161] 16.3% -------------------------------------------------------------------------------- profile-thunk14 [1] 99.9% [16] 293444(97.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [70] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 185110(61.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [31] 100.0% -------------------------------------------------------------------------------- taylor-alt [3] 100.0% [18] 181202(60.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [32] 100.0% -------------------------------------------------------------------------------- ??? [4] 100.0% [19] 153580(51.2%) 548(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [152] 95.3% ??? [34] 4.0% simplify [33] 0.4% -------------------------------------------------------------------------------- ??? [5] 100.0% [20] 119578(39.9%) 650(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [152] 99.6% simplify [33] 0.1% -------------------------------------------------------------------------------- ??? [6] 100.0% [21] 53574(17.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [152] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [22] 15654(5.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [36] 100.0% -------------------------------------------------------------------------------- completely-simplify-alt [13] 36.5% simplify [9] 63.5% [23] 12500(4.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [35] 93.4% loop [39] 5.0% mk-egraph [40] 1.6% -------------------------------------------------------------------------------- combine-mterms [8] 100.0% [24] 11792(3.9%) 5266(1.8%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [152] 55.3% -------------------------------------------------------------------------------- taylor-invert [14] 14.4% taylor-quotient [7] 85.6% [25] 10262(3.4%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [152] 98.0% simplify [33] 2.0% -------------------------------------------------------------------------------- ??? [10] 100.0% [26] 9598(3.2%) 200(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [37] 97.9% -------------------------------------------------------------------------------- ??? [11] 100.0% [27] 6180(2.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [43] 100.0% -------------------------------------------------------------------------------- ??? [12] 100.0% [28] 5096(1.7%) 242(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [152] 97.6% -------------------------------------------------------------------------------- simplify [9] 100.0% [29] 4000(1.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [35] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [30] 864(0.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [38] 100.0% -------------------------------------------------------------------------------- finalize-table! [17] 100.0% [31] 185110(61.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [42] 97.3% loop [121] 2.4% completely-simplify-alt [13] 0.1% ??? [62] 0.1% -------------------------------------------------------------------------------- location-do [32] 1.7% for-loop [18] 98.3% [32] 181202(60.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [41] 98.2% location-do [32] 1.7% simplify [33] 0.1% -------------------------------------------------------------------------------- first-nonzero-exp [25] 0.1% location-do [32] 0.1% loop [121] 0.1% for-loop [20] 0.2% for-loop [19] 0.5% taylor-invert [14] 1.4% taylor-quotient [7] 8.8% hash-ref! [152] 88.6% [33] 178358(59.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [131] 92.1% parse-loop12 [43] 4.9% debug-print [46] 1.6% debug7 [47] 1.0% simplify-node [55] 0.4% make-addition-node [148] 0.1% -------------------------------------------------------------------------------- ??? [164] 0.5% for-loop [19] 99.5% [34] 77486(25.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [152] 100.0% -------------------------------------------------------------------------------- simplify [9] 14.7% for-loop [29] 21.8% simplify-expr [23] 63.6% [35] 18370(6.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [44] 98.9% map-enodes [52] 1.1% -------------------------------------------------------------------------------- for-loop [22] 100.0% [36] 15654(5.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [45] 88.0% gen-series! [48] 6.8% finalize-iter! [50] 2.5% gen-rewrites! [53] 1.3% -------------------------------------------------------------------------------- for-loop [26] 100.0% [37] 9398(3.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [152] 100.0% -------------------------------------------------------------------------------- get-final-combination [30] 100.0% [38] 864(0.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [121] 100.0% -------------------------------------------------------------------------------- simplify-expr [23] 100.0% [39] 620(0.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [49] 100.0% -------------------------------------------------------------------------------- simplify-expr [23] 100.0% [40] 202(0.1%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [51] 100.0% -------------------------------------------------------------------------------- location-do [32] 100.0% [41] 180984(60.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [54] 99.5% f6 [131] 0.4% taylor-quotient [7] 0.1% -------------------------------------------------------------------------------- post-process [31] 100.0% [42] 180132(60.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [137] 100.0% -------------------------------------------------------------------------------- make-addition-node [148] 0.1% ??? [4] 0.2% f6 [131] 0.3% hash-ref! [152] 0.4% loop [121] 0.6% for-loop [27] 2.4% simplify [33] 3.0% map [136] 9.5% parse-loop12 [43] 36.3% append-map [137] 47.3% [43] 122962(41.0%) 32516(10.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [43] 36.3% f6 [131] 17.9% make-multiplication-node [71] 13.2% for-loop [56] 7.4% gather-additive-terms6 [145] 2.7% for-loop [59] 2.4% loop [121] 1.5% parse-app [139] 1.0% map [136] 0.7% make-addition-node [148] 0.6% foldr [63] 0.5% simplify-node [55] 0.5% append-map [137] 0.2% ??? [149] 0.1% cp-2 [74] 0.1% gather-multiplicative-terms [143] 0.0% -------------------------------------------------------------------------------- iterate-egraph!5 [35] 100.0% [44] 18170(6.1%) 220(0.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [58] 64.5% loop [60] 29.7% apply-match [73] 4.6% -------------------------------------------------------------------------------- run-iter! [36] 100.0% [45] 13768(4.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [57] 100.0% -------------------------------------------------------------------------------- taylor [15] 12.6% simplify [33] 87.4% [46] 3166(1.1%) 1036(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [61] 67.3% -------------------------------------------------------------------------------- taylor [15] 19.7% simplify [33] 80.3% [47] 2122(0.7%) 854(0.3%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [62] 30.6% return/no-unsupplied [66] 19.7% ??? [67] 9.4% -------------------------------------------------------------------------------- run-iter! [36] 100.0% [48] 1070(0.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [64] 100.0% -------------------------------------------------------------------------------- loop [39] 100.0% [49] 620(0.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [65] 100.0% -------------------------------------------------------------------------------- run-iter! [36] 100.0% [50] 398(0.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [62] 100.0% -------------------------------------------------------------------------------- mk-egraph [40] 20.0% expr->enode [51] 80.0% [51] 202(0.1%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [51] 80.0% mk-enode! [95] 20.0% -------------------------------------------------------------------------------- iterate-egraph!5 [35] 100.0% [52] 200(0.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [68] 100.0% -------------------------------------------------------------------------------- run-iter! [36] 100.0% [53] 200(0.1%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [69] 100.0% -------------------------------------------------------------------------------- approximate9 [41] 100.0% [54] 180144(60.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [152] 99.9% -------------------------------------------------------------------------------- parse-loop12 [43] 0.5% simplify [33] 0.6% map [136] 98.9% [55] 108650(36.3%) 1976(0.7%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [137] 86.4% combine-aterms [72] 6.4% f6 [131] 5.7% gather-additive-terms6 [145] 0.2% -------------------------------------------------------------------------------- parse-loop12 [43] 100.0% [56] 16516(5.5%) 1094(0.4%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [71] 47.7% f6 [131] 45.6% -------------------------------------------------------------------------------- simplify! [45] 100.0% [57] 13768(4.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [70] 100.0% -------------------------------------------------------------------------------- for-loop [58] 50.0% one-iter [44] 50.0% [58] 11714(3.9%) 2968(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [58] 50.0% match-e [80] 37.3% -------------------------------------------------------------------------------- parse-loop12 [43] 100.0% [59] 6180(2.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [152] 100.0% -------------------------------------------------------------------------------- one-iter [44] 100.0% [60] 5398(1.8%) 202(0.1%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [73] 96.3% -------------------------------------------------------------------------------- debug-print [46] 100.0% [61] 2130(0.7%) 2130(0.7%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------------- post-process [31] 16.0% finalize-iter! [50] 31.9% debug7 [47] 52.1% [62] 1248(0.4%) 650(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [76] 47.9% -------------------------------------------------------------------------------- parse-loop12 [43] 100.0% [63] 1072(0.4%) 632(0.2%) foldr ...et/collects/racket/private/list.rkt:242:4 cp-2 [74] 41.0% -------------------------------------------------------------------------------- gen-series! [48] 100.0% [64] 1070(0.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [3] 100.0% -------------------------------------------------------------------------------- pass [49] 100.0% [65] 620(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [75] 100.0% -------------------------------------------------------------------------------- debug7 [47] 100.0% [66] 418(0.1%) 418(0.1%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 -------------------------------------------------------------------------------- debug7 [47] 100.0% [67] 200(0.1%) 200(0.1%) ??? ...racket/collects/racket/private/kw.rkt:713:9 -------------------------------------------------------------------------------- map-enodes [52] 100.0% [68] 200(0.1%) 200(0.1%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 -------------------------------------------------------------------------------- gen-rewrites! [53] 100.0% [69] 200(0.1%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [77] 100.0% -------------------------------------------------------------------------------- for-loop [57] 1.6% run [16] 48.8% [70] 296652(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.7% run-improve58 [2] 33.9% loop [78] 15.8% simplify [9] 1.6% -------------------------------------------------------------------------------- map [136] 11.3% for-loop [56] 20.4% parse-loop12 [43] 67.7% [71] 38652(12.9%) 900(0.3%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [79] 97.7% -------------------------------------------------------------------------------- simplify-node [55] 100.0% [72] 6960(2.3%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [81] 100.0% -------------------------------------------------------------------------------- one-iter [44] 13.9% loop [60] 86.1% [73] 6034(2.0%) 200(0.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [93] 27.8% match-e [80] 17.6% for-loop [82] 16.9% substitute-e [83] 14.3% loop! [105] 13.6% reduce-to-single! [88] 3.3% mk-enode! [95] 3.3% -------------------------------------------------------------------------------- parse-loop12 [43] 33.5% foldr [63] 66.5% [74] 662(0.2%) 440(0.1%) cp-2 ...hare/racket/collects/racket/list.rkt:804:2 for-loop [86] 33.5% -------------------------------------------------------------------------------- for-loop [65] 100.0% [75] 620(0.2%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [84] 100.0% -------------------------------------------------------------------------------- ??? [62] 100.0% [76] 598(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [85] 100.0% -------------------------------------------------------------------------------- for-loop [69] 100.0% [77] 200(0.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [87] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 2.9% ??? [70] 97.1% [78] 95024(31.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [89] 50.2% make-exacts* [99] 34.3% loop [100] 13.7% for-loop [94] 1.8% -------------------------------------------------------------------------------- make-multiplication-node [71] 100.0% [79] 37752(12.6%) 3540(1.2%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [90] 53.2% for-loop [91] 33.1% compose [155] 4.3% -------------------------------------------------------------------------------- apply-match [73] 8.2% for-loop [101] 15.9% for-loop [58] 75.9% [80] 9806(3.3%) 5782(1.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [92] 38.5% for-loop [101] 7.1% loop [121] 4.3% list-cartesian-product [108] 2.4% -------------------------------------------------------------------------------- combine-aterms [72] 100.0% [81] 6960(2.3%) 1546(0.5%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [152] 77.8% -------------------------------------------------------------------------------- apply-match [73] 100.0% [82] 1018(0.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [105] 60.9% merge-egraph-nodes! [93] 39.1% -------------------------------------------------------------------------------- apply-match [73] 100.0% [83] 860(0.3%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [95] 100.0% -------------------------------------------------------------------------------- argmin [75] 100.0% [84] 620(0.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [96] 100.0% -------------------------------------------------------------------------------- for-loop [76] 100.0% [85] 598(0.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [97] 100.0% -------------------------------------------------------------------------------- cp-2 [74] 100.0% [86] 222(0.1%) 222(0.1%) for-loop .../racket/collects/racket/list.rkt:805:4 -------------------------------------------------------------------------------- ??? [77] 25.0% matcher [117] 75.0% [87] 200(0.1%) 200(0.1%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [98] 75.0% -------------------------------------------------------------------------------- apply-match [73] 100.0% [88] 198(0.1%) 198(0.1%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 -------------------------------------------------------------------------------- loop [78] 100.0% [89] 47746(15.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [100] 51.3% make-exacts* [99] 46.9% -------------------------------------------------------------------------------- make-multiplication-subnode [79] 100.0% [90] 20086(6.7%) 17154(5.7%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [103] 12.4% sort [109] 2.2% -------------------------------------------------------------------------------- make-multiplication-subnode [79] 100.0% [91] 12508(4.2%) 4826(1.6%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 make-multiplication-subsubsubnode [102] 26.5% partition [104] 17.1% compose [155] 14.3% loop [156] 1.7% map [136] 1.7% -------------------------------------------------------------------------------- match-e [80] 100.0% [92] 4560(1.5%) 1680(0.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [101] 49.6% list-cartesian-product [108] 8.8% curry* [120] 4.3% loop [112] 2.6% -------------------------------------------------------------------------------- for-loop [110] 9.6% for-loop [82] 19.2% apply-match [73] 71.2% [93] 2078(0.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [107] 50.1% enode-merge! [114] 10.6% for-loop [115] 10.5% for-loop [110] 9.6% loop! [105] 9.6% for-loop [119] 9.5% -------------------------------------------------------------------------------- loop [78] 100.0% [94] 1680(0.6%) 440(0.1%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [106] 73.8% -------------------------------------------------------------------------------- apply-match [73] 15.7% expr->enode [51] 16.0% substitute-e [83] 68.3% [95] 1260(0.4%) 822(0.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [113] 19.0% hash-has-key? [118] 15.7% -------------------------------------------------------------------------------- expression-cost [84] 100.0% [96] 620(0.2%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [152] 100.0% -------------------------------------------------------------------------------- atab-add-altn [85] 100.0% [97] 598(0.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [111] 66.6% for-loop [116] 33.4% -------------------------------------------------------------------------------- rewriter [87] 100.0% [98] 200(0.1%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [117] 100.0% -------------------------------------------------------------------------------- loop [89] 40.7% loop [78] 59.3% [99] 54984(18.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [136] 51.9% loop [121] 46.1% -------------------------------------------------------------------------------- loop [78] 34.7% loop [89] 65.3% [100] 37502(12.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [136] 100.0% -------------------------------------------------------------------------------- match-e [80] 32.5% for-loop [92] 67.5% [101] 3528(1.2%) 640(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [80] 79.3% ??? [130] 5.7% -------------------------------------------------------------------------------- make-multiplication-subsubsubnode [102] 6.3% for-loop [91] 93.7% [102] 3316(1.1%) 3316(1.1%) make-multiplication-subsubsubnode ...uce.rkt:253:0 make-multiplication-subsubsubnode [102] 6.3% -------------------------------------------------------------------------------- group-by68 [90] 100.0% [103] 2496(0.8%) 2496(0.8%) hash-update ...cket/private/more-scheme.rkt:356:13 -------------------------------------------------------------------------------- for-loop [91] 100.0% [104] 2142(0.7%) 2142(0.7%) partition ...racket/collects/racket/list.rkt:547:0 -------------------------------------------------------------------------------- merge-egraph-nodes! [93] 16.3% apply-match [73] 27.7% loop [121] 27.8% for-loop [82] 28.2% [105] 1840(0.6%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [121] 39.3% custom-set-union [125] 32.9% set [122] 27.8% -------------------------------------------------------------------------------- for-loop [94] 100.0% [106] 1240(0.4%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [123] 80.0% sample-double [127] 20.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [93] 100.0% [107] 1042(0.3%) 200(0.1%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [124] 80.8% -------------------------------------------------------------------------------- match-e [80] 37.4% for-loop [92] 62.6% [108] 642(0.2%) 440(0.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [129] 31.5% -------------------------------------------------------------------------------- group-by68 [90] 100.0% [109] 436(0.1%) 436(0.1%) sort ...ket/collects/racket/private/sort.rkt:213:0 -------------------------------------------------------------------------------- merge-egraph-nodes! [93] 100.0% [110] 400(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [93] 100.0% -------------------------------------------------------------------------------- best-and-tied-at-points [97] 100.0% [111] 398(0.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [126] 100.0% -------------------------------------------------------------------------------- for-loop [92] 100.0% [112] 240(0.1%) 240(0.1%) loop ...e/racket/collects/racket/function.rkt:53:6 -------------------------------------------------------------------------------- mk-enode! [95] 100.0% [113] 240(0.1%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [122] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [93] 100.0% [114] 220(0.1%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [128] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [93] 100.0% [115] 218(0.1%) 218(0.1%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 -------------------------------------------------------------------------------- best-and-tied-at-points [97] 100.0% [116] 200(0.1%) 200(0.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 -------------------------------------------------------------------------------- matcher [117] 50.0% for-loop [98] 50.0% [117] 200(0.1%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 matcher [117] 50.0% rewriter [87] 50.0% -------------------------------------------------------------------------------- mk-enode! [95] 100.0% [118] 198(0.1%) 198(0.1%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------------- merge-egraph-nodes! [93] 100.0% [119] 198(0.1%) 198(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 -------------------------------------------------------------------------------- for-loop [92] 100.0% [120] 198(0.1%) 198(0.1%) curry* ...racket/collects/racket/function.rkt:44:2 -------------------------------------------------------------------------------- match-e [80] 0.1% taylor [15] 0.2% loop! [105] 0.3% ??? [142] 0.3% extract-alt [38] 0.5% post-process [31] 0.7% make-exacts* [99] 0.7% append-map [137] 1.7% map [136] 2.6% parse-loop12 [43] 3.8% loop [121] 87.6% [121] 106474(35.5%) 3478(1.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [121] 87.6% parse-loop12 [43] 2.9% ??? [142] 2.6% taylor-alt [3] 1.7% f6 [131] 1.4% hash-ref! [152] 1.2% completely-simplify-alt [13] 0.7% simplify [9] 0.5% loop! [105] 0.2% simplify [33] 0.2% real->bigfloat [154] 0.2% ->flonum [157] 0.2% ??? [176] 0.1% ??? [144] 0.1% ??? [172] 0.0% -------------------------------------------------------------------------------- new-enode [113] 19.0% loop! [105] 81.0% [122] 1262(0.4%) 1262(0.4%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------------- for-loop [106] 100.0% [123] 992(0.3%) 0(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [168] 100.0% -------------------------------------------------------------------------------- update-leader! [107] 100.0% [124] 842(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [132] 100.0% -------------------------------------------------------------------------------- loop! [105] 100.0% [125] 606(0.2%) 406(0.1%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [135] 33.0% -------------------------------------------------------------------------------- errors [111] 100.0% [126] 398(0.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [134] 50.3% ??? [142] 49.7% -------------------------------------------------------------------------------- for-loop [106] 100.0% [127] 248(0.1%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [133] 100.0% -------------------------------------------------------------------------------- enode-merge! [114] 100.0% [128] 220(0.1%) 220(0.1%) custom-set-intersect! ...ivate/set-types.rkt:270:0 -------------------------------------------------------------------------------- list-cartesian-product [108] 100.0% [129] 202(0.1%) 202(0.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------------- for-loop [101] 100.0% [130] 202(0.1%) 202(0.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 -------------------------------------------------------------------------------- approximate9 [41] 0.2% for-loop [56] 0.3% ??? [144] 0.4% loop [121] 0.4% simplify-node [55] 0.6% f6 [131] 0.6% composed [138] 0.6% hash-ref! [152] 1.1% parse-loop12 [43] 2.9% append-map [137] 4.8% simplify [33] 10.5% map [136] 77.5% [131] 172222(57.5%) 15274(5.1%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [136] 88.4% append-map [137] 5.9% combine-mterms [8] 1.2% gather-multiplicative-terms [143] 0.7% composed [138] 0.7% f6 [131] 0.6% taylor-quotient [7] 0.6% compose [155] 0.2% taylor [15] 0.1% taylor-invert [14] 0.1% parse-loop12 [43] 0.1% parse-app [139] 0.0% -------------------------------------------------------------------------------- for-loop [124] 100.0% [132] 842(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [140] 100.0% -------------------------------------------------------------------------------- sample-double [127] 100.0% [133] 248(0.1%) 248(0.1%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 -------------------------------------------------------------------------------- for-loop [126] 100.0% [134] 200(0.1%) 200(0.1%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 -------------------------------------------------------------------------------- custom-set-union [125] 100.0% [135] 200(0.1%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [141] 100.0% -------------------------------------------------------------------------------- for-loop [91] 0.0% ??? [144] 0.0% parse-loop12 [43] 0.2% gather-multiplicative-terms [143] 0.4% make-exacts* [99] 12.1% loop [100] 16.0% f6 [131] 71.2% [136] 234850(78.4%) 4550(1.5%) map ...acket/collects/racket/private/map.rkt:21:13 f6 [131] 62.8% loop [121] 27.9% simplify-node [55] 4.5% parse-loop12 [43] 3.0% ??? [144] 0.5% gather-multiplicative-terms [143] 0.4% ??? [142] 0.3% make-multiplication-node [71] 0.2% taylor-quotient [7] 0.1% ??? [149] 0.1% ->flonum [157] 0.0% make-addition-node [148] 0.0% taylor-invert [14] 0.0% -------------------------------------------------------------------------------- parse-loop12 [43] 0.0% simplify-node [55] 8.0% f6 [131] 9.1% append-map [137] 38.8% for-loop [42] 44.1% [137] 181200(60.5%) 8582(2.9%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [3] 43.1% append-map [137] 38.8% parse-loop12 [43] 7.9% f6 [131] 7.7% loop [121] 1.0% free-variables [146] 0.4% loop [147] 0.2% gather-additive-terms6 [145] 0.1% -------------------------------------------------------------------------------- f6 [131] 100.0% [138] 19306(6.4%) 672(0.2%) composed ...ollects/racket/private/list.rkt:321:16 f6 [131] 94.1% loop [147] 1.2% free-variables [146] 1.2% -------------------------------------------------------------------------------- f6 [131] 21.9% parse-loop12 [43] 78.1% [139] 3018(1.0%) 2802(0.9%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [151] 7.2% -------------------------------------------------------------------------------- for-loop [132] 100.0% [140] 842(0.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [150] 100.0% -------------------------------------------------------------------------------- for-loop [135] 100.0% [141] 200(0.1%) 200(0.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------------- for-loop [126] 0.2% map [136] 0.8% loop [121] 99.0% [142] 89148(29.7%) 3388(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [153] 55.8% loop [121] 17.3% real->bigfloat [154] 15.6% ??? [176] 6.3% ->flonum [157] 0.2% -------------------------------------------------------------------------------- parse-loop12 [43] 1.2% gather-multiplicative-terms [143] 3.7% map [136] 25.6% f6 [131] 69.4% [143] 16286(5.4%) 11608(3.9%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [136] 34.6% compose [155] 8.9% gather-multiplicative-terms [143] 3.7% curried [161] 1.2% -------------------------------------------------------------------------------- loop [121] 2.5% map [136] 97.5% [144] 15608(5.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f6 [131] 95.9% hash-ref! [152] 2.5% taylor [15] 1.3% map [136] 0.3% -------------------------------------------------------------------------------- simplify-node [55] 2.2% append-map [137] 17.6% parse-loop12 [43] 80.2% [145] 8946(3.0%) 8726(2.9%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 constant? [159] 2.5% -------------------------------------------------------------------------------- composed [138] 3.5% append-map [137] 96.5% [146] 6618(2.2%) 5774(1.9%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [159] 9.6% variable? [162] 3.1% -------------------------------------------------------------------------------- composed [138] 7.1% loop [147] 9.7% append-map [137] 83.3% [147] 3346(1.1%) 3346(1.1%) loop ...are/racket/collects/racket/list.rkt:414:34 loop [147] 9.7% -------------------------------------------------------------------------------- simplify [33] 3.4% map [136] 23.0% parse-loop12 [43] 73.6% [148] 2926(1.0%) 198(0.1%) make-addition-node ...ie/src/core/reduce.rkt:199:0 loop [156] 85.7% parse-loop12 [43] 10.9% -------------------------------------------------------------------------------- parse-loop12 [43] 22.9% map [136] 77.1% [149] 1930(0.6%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [158] 66.8% pattern-match [167] 33.2% -------------------------------------------------------------------------------- hash-update! [140] 100.0% [150] 842(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [160] 100.0% -------------------------------------------------------------------------------- parse-app [139] 100.0% [151] 216(0.1%) 216(0.1%) loop .../collects/racket/private/stxcase.rkt:112:7 -------------------------------------------------------------------------------- for-loop [28] 0.1% compile [96] 0.1% for-loop [81] 0.1% for-loop [59] 0.1% ??? [144] 0.2% for-loop [24] 0.2% ??? [6] 0.2% for-loop [37] 0.2% loop [121] 0.5% first-nonzero-exp [25] 0.8% for-loop [21] 1.1% ??? [34] 1.8% ??? [164] 3.6% for-loop [20] 4.4% loop [54] 6.7% ??? [163] 21.2% for-loop [19] 57.9% [152] 184426(61.5%) 12562(4.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 59.8% ??? [163] 21.2% ??? [5] 4.5% simplify [33] 4.4% ??? [164] 3.7% f6 [131] 3.0% ??? [6] 1.3% ??? [10] 0.2% parse-loop12 [43] 0.2% bigfloat-hash [169] 0.2% ??? [11] 0.2% ??? [12] 0.1% taylor-quotient [7] 0.0% -------------------------------------------------------------------------------- ??? [142] 100.0% [153] 49768(16.6%) 1430(0.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [172] 72.8% ...higher-order.rkt:373:33 [165] 17.2% bf* [166] 7.1% -------------------------------------------------------------------------------- loop [121] 35.8% ??? [142] 64.2% [154] 21644(7.2%) 14988(5.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [181] 30.8% -------------------------------------------------------------------------------- f6 [131] 10.8% make-multiplication-subnode [79] 26.7% for-loop [91] 29.5% gather-multiplicative-terms [143] 33.0% [155] 6068(2.0%) 6068(2.0%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------------- for-loop [91] 8.0% make-addition-node [148] 92.0% [156] 2726(0.9%) 2726(0.9%) loop ...hare/racket/collects/racket/list.rkt:551:2 -------------------------------------------------------------------------------- ??? [142] 7.4% map [136] 8.1% loop [121] 84.5% [157] 2680(0.9%) 216(0.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [180] 69.3% ??? [168] 14.9% ??? [171] 7.8% -------------------------------------------------------------------------------- ??? [149] 100.0% [158] 1290(0.4%) 240(0.1%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [167] 81.4% -------------------------------------------------------------------------------- gather-additive-terms6 [145] 25.6% free-variables [146] 74.4% [159] 858(0.3%) 858(0.3%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------------- ??? [150] 100.0% [160] 842(0.3%) 602(0.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [170] 28.5% -------------------------------------------------------------------------------- gather-multiplicative-terms [143] 49.8% taylor [15] 50.2% [161] 402(0.1%) 402(0.1%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------------- free-variables [146] 100.0% [162] 206(0.1%) 206(0.1%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 -------------------------------------------------------------------------------- hash-ref! [152] 100.0% [163] 178460(59.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [152] 100.0% -------------------------------------------------------------------------------- hash-ref! [152] 100.0% [164] 149754(50.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [152] 99.7% ??? [34] 0.3% -------------------------------------------------------------------------------- ??? [153] 100.0% [165] 8550(2.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [173] 89.5% ??? [176] 10.5% -------------------------------------------------------------------------------- ??? [153] 100.0% [166] 3556(1.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [172] 100.0% -------------------------------------------------------------------------------- ??? [149] 37.9% for-loop [158] 62.1% [167] 1690(0.6%) 1690(0.6%) pattern-match .../herbie/src/core/matcher.rkt:47:0 -------------------------------------------------------------------------------- ->flonum [157] 28.6% sample-default [123] 71.4% [168] 1390(0.5%) 1390(0.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------------- hash-ref! [152] 100.0% [169] 1300(0.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [174] 50.9% sig+exp->bigfloat [175] 49.1% -------------------------------------------------------------------------------- for-loop [160] 100.0% [170] 240(0.1%) 240(0.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------------- ->flonum [157] 100.0% [171] 210(0.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [181] 100.0% -------------------------------------------------------------------------------- loop [121] 0.5% bf* [166] 8.9% ??? [153] 90.6% [172] 40006(13.3%) 9852(3.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [177] 34.6% ??? [180] 25.2% bflog [178] 15.5% -------------------------------------------------------------------------------- ...higher-order.rkt:373:33 [165] 100.0% [173] 7650(2.6%) 252(0.1%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [176] 96.7% -------------------------------------------------------------------------------- bigfloat-hash [169] 100.0% [174] 662(0.2%) 422(0.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [179] 36.3% -------------------------------------------------------------------------------- bigfloat-hash [169] 100.0% [175] 638(0.2%) 426(0.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [181] 33.2% -------------------------------------------------------------------------------- ...higher-order.rkt:373:33 [165] 5.3% loop [121] 18.0% ??? [142] 33.0% ??? [173] 43.6% [176] 16958(5.7%) 216(0.1%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [180] 98.7% -------------------------------------------------------------------------------- ??? [172] 100.0% [177] 13852(4.6%) 8712(2.9%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [181] 37.1% -------------------------------------------------------------------------------- ??? [172] 100.0% [178] 6214(2.1%) 3940(1.3%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [181] 36.6% -------------------------------------------------------------------------------- bfcanonicalize [174] 100.0% [179] 240(0.1%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [182] 100.0% -------------------------------------------------------------------------------- ->flonum [157] 6.5% ??? [172] 35.2% ??? [176] 58.4% [180] 28686(9.6%) 11126(3.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [183] 61.2% -------------------------------------------------------------------------------- ??? [171] 1.4% sig+exp->bigfloat [175] 1.5% bflog [178] 15.7% bfsub [177] 35.5% real->bigfloat [154] 45.9% [181] 14492(4.8%) 14492(4.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------------- bigfloat->sig+exp [179] 100.0% [182] 240(0.1%) 240(0.1%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 -------------------------------------------------------------------------------- ??? [180] 100.0% [183] 17560(5.9%) 8976(3.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [184] 48.9% -------------------------------------------------------------------------------- ??? [183] 100.0% [184] 8584(2.9%) 8584(2.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------------