Profiling results ----------------- Total cpu time observed: 177920ms (out of 178736ms) Number of samples taken: 780 (once every 228ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 195 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [46] 100.0% [1] 166650(93.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% -------------------------------------------------------------------------- ??? [46] 100.0% [2] 156574(88.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [12] 85.4% finalize-table! [15] 12.8% get-final-combination [18] 1.3% loop [57] 0.4% setup-prog [22] 0.1% -------------------------------------------------------------------------- loop [138] 1.5% ??? [46] 98.5% [3] 131564(73.9%) 836(0.5%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [13] 66.4% for-loop [14] 26.5% iterate-egraph!5 [24] 6.0% loop [27] 0.5% -------------------------------------------------------------------------- post-process [26] 6.9% loop [138] 93.1% [4] 10152(5.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [13] 100.0% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [5] 2818(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [16] 100.0% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [6] 2396(1.3%) 436(0.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [17] 90.9% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [7] 1936(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [19] 65.8% hash-ref! [112] 34.2% -------------------------------------------------------------------------- f16 [131] 100.0% [8] 662(0.4%) 440(0.2%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [21] 33.5% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [9] 440(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [20] 100.0% -------------------------------------------------------------------------- map [133] 100.0% [10] 202(0.1%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [23] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [11] 166650(93.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [46] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 133674(75.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [25] 100.0% -------------------------------------------------------------------------- completely-simplify-alt [4] 10.4% simplify [3] 89.6% [13] 97560(54.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [24] 95.2% loop [27] 4.6% mk-egraph [29] 0.2% -------------------------------------------------------------------------- simplify [3] 100.0% [14] 34822(19.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [24] 97.5% loop [27] 1.8% mk-egraph [29] 0.6% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 20056(11.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [26] 100.0% -------------------------------------------------------------------------- ??? [5] 100.0% [16] 2818(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [112] 100.0% -------------------------------------------------------------------------- ??? [6] 100.0% [17] 2396(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [112] 77.7% ??? [125] 13.9% simplify [116] 8.4% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 1966(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [28] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [19] 1274(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [112] 100.0% -------------------------------------------------------------------------- ??? [9] 100.0% [20] 440(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [112] 100.0% -------------------------------------------------------------------------- combine-mterms [8] 100.0% [21] 222(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [112] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [22] 218(0.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 ??? [44] 100.0% -------------------------------------------------------------------------- taylor-invert [10] 100.0% [23] 202(0.1%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [116] 100.0% -------------------------------------------------------------------------- simplify [3] 5.8% for-loop [14] 25.2% simplify-expr [13] 69.0% [24] 134682(75.7%) 928(0.5%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [31] 94.9% map-enodes [33] 4.4% -------------------------------------------------------------------------- for-loop [12] 100.0% [25] 133674(75.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [30] 97.0% finalize-iter! [35] 1.9% gen-series! [36] 1.0% localize-error [37] 0.2% -------------------------------------------------------------------------- finalize-table! [15] 100.0% [26] 20056(11.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [138] 49.1% for-loop [32] 40.1% ??? [44] 4.2% completely-simplify-alt [4] 3.5% localize-error [37] 3.1% -------------------------------------------------------------------------- for-loop [14] 11.1% simplify [3] 11.5% simplify-expr [13] 77.4% [27] 5752(3.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [34] 100.0% -------------------------------------------------------------------------- get-final-combination [18] 100.0% [28] 1966(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [138] 100.0% -------------------------------------------------------------------------- simplify-expr [13] 49.8% for-loop [14] 50.2% [29] 446(0.3%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [38] 100.0% -------------------------------------------------------------------------- run-iter! [25] 100.0% [30] 129598(72.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [39] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [24] 100.0% [31] 127798(71.8%) 5106(2.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [40] 50.8% for-loop [41] 42.0% apply-match [47] 2.7% loop [85] 0.5% -------------------------------------------------------------------------- post-process [26] 100.0% [32] 8038(4.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [42] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [24] 100.0% [33] 5956(3.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [138] 92.3% for-loop [143] 7.7% -------------------------------------------------------------------------- loop [27] 100.0% [34] 5752(3.2%) 196(0.1%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [43] 96.6% -------------------------------------------------------------------------- run-iter! [25] 100.0% [35] 2576(1.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [44] 100.0% -------------------------------------------------------------------------- run-iter! [25] 100.0% [36] 1298(0.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [45] 100.0% -------------------------------------------------------------------------- run-iter! [25] 16.5% loop [138] 33.1% post-process [26] 50.4% [37] 1222(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [112] 100.0% -------------------------------------------------------------------------- mk-egraph [29] 33.3% expr->enode [38] 66.7% [38] 446(0.3%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [38] 66.7% mk-enode! [79] 33.3% -------------------------------------------------------------------------- simplify! [30] 100.0% [39] 129598(72.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [46] 100.0% -------------------------------------------------------------------------- one-iter [31] 100.0% [40] 64918(36.5%) 240(0.1%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [47] 99.6% -------------------------------------------------------------------------- for-loop [41] 49.2% one-iter [31] 50.8% [41] 53624(30.1%) 9842(5.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [41] 49.2% match-e [56] 40.4% ??? [93] 0.4% -------------------------------------------------------------------------- parse-loop364 [123] 0.6% append-map [42] 3.1% simplify-node [139] 7.6% f16 [131] 12.2% for-loop [32] 76.5% [42] 8258(4.6%) 642(0.4%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [48] 66.1% loop [138] 10.4% parse-loop364 [123] 9.0% f16 [131] 6.7% append-map [42] 3.1% free-variables [52] 2.1% -------------------------------------------------------------------------- pass [34] 100.0% [43] 5556(3.1%) 202(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [50] 46.1% argmin [51] 34.7% make-sequence [155] 8.4% loop [53] 7.2% -------------------------------------------------------------------------- setup-prog [22] 6.0% post-process [26] 23.2% finalize-iter! [35] 70.8% [44] 3640(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [49] 88.5% make-alt-table [54] 6.0% atab-add-altns [55] 5.5% -------------------------------------------------------------------------- gen-series! [36] 100.0% [45] 1298(0.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [48] 100.0% -------------------------------------------------------------------------- for-loop [39] 25.2% run [11] 35.7% [46] 176310(99.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 35.7% run-improve58 [2] 33.3% simplify [3] 25.2% loop [57] 5.8% -------------------------------------------------------------------------- one-iter [31] 5.1% loop [40] 94.9% [47] 68148(38.3%) 2220(1.2%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [64] 40.9% match-e [56] 18.0% for-loop [58] 17.9% loop! [90] 10.6% substitute-e [68] 4.1% mk-enode! [79] 2.3% update-leader! [75] 1.7% reduce-to-single! [62] 1.3% -------------------------------------------------------------------------- loop [138] 9.2% for-loop [45] 13.9% append-map [42] 76.9% [48] 9336(5.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [59] 100.0% -------------------------------------------------------------------------- ??? [44] 100.0% [49] 3220(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [60] 100.0% -------------------------------------------------------------------------- for-loop [43] 100.0% [50] 2560(1.4%) 2560(1.4%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [43] 100.0% [51] 1928(1.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [61] 79.1% for-loop [63] 20.9% -------------------------------------------------------------------------- append-map [42] 100.0% [52] 420(0.2%) 420(0.2%) free-variables ...ock/herbie/src/programs.rkt:89:0 -------------------------------------------------------------------------- for-loop [43] 100.0% [53] 402(0.2%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [61] 100.0% -------------------------------------------------------------------------- ??? [44] 100.0% [54] 218(0.1%) 0(0.0%) make-alt-table ...rbie/src/core/alt-table.rkt:32:0 errors [82] 100.0% -------------------------------------------------------------------------- ??? [44] 100.0% [55] 202(0.1%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [60] 100.0% -------------------------------------------------------------------------- apply-match [47] 16.2% for-loop [74] 16.7% for-loop [41] 67.1% [56] 55618(31.3%) 28514(16.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [65] 41.6% for-loop [74] 8.5% list-cartesian-product [80] 2.7% constant? [165] 2.3% loop [138] 1.7% custom-in-set [175] 0.9% curry* [73] 0.2% -------------------------------------------------------------------------- run-improve58 [2] 3.2% ??? [46] 96.8% [57] 20396(11.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [67] 45.2% make-exacts* [76] 38.2% loop [78] 16.6% -------------------------------------------------------------------------- apply-match [47] 100.0% [58] 12208(6.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [90] 51.2% merge-egraph-nodes! [64] 25.7% mk-enode! [79] 16.0% substitute-e [68] 7.1% -------------------------------------------------------------------------- taylor-alt [48] 100.0% [59] 9336(5.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [66] 100.0% -------------------------------------------------------------------------- atab-add-altns [55] 5.9% for-loop [49] 94.1% [60] 3422(1.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [69] 94.1% loop [72] 5.9% -------------------------------------------------------------------------- loop [53] 20.9% argmin [51] 79.1% [61] 1928(1.1%) 220(0.1%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [70] 88.6% -------------------------------------------------------------------------- apply-match [47] 100.0% [62] 864(0.5%) 444(0.2%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [71] 25.5% make-sequence [155] 23.1% -------------------------------------------------------------------------- argmin [51] 100.0% [63] 402(0.2%) 402(0.2%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 -------------------------------------------------------------------------- for-loop [84] 1.7% merge-egraph-nodes! [64] 3.1% for-loop [58] 10.1% apply-match [47] 85.1% [64] 31016(17.4%) 1168(0.7%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [75] 61.4% for-loop [81] 10.7% loop! [90] 7.8% enode-merge! [83] 7.2% for-loop [84] 4.6% merge-egraph-nodes! [64] 3.1% for-loop [87] 1.4% -------------------------------------------------------------------------- match-e [56] 100.0% [65] 28038(15.8%) 11764(6.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [74] 44.5% list-cartesian-product [80] 7.3% loop [138] 5.8% foldl [144] 4.3% filter [170] 0.9% -------------------------------------------------------------------------- location-do [66] 23.8% for-loop [59] 76.2% [66] 9336(5.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [77] 76.2% location-do [66] 23.8% -------------------------------------------------------------------------- loop [57] 100.0% [67] 9212(5.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [78] 50.9% make-exacts* [76] 39.9% eval-prog [92] 9.2% -------------------------------------------------------------------------- substitute-e [68] 13.1% for-loop [58] 19.6% apply-match [47] 67.3% [68] 3642(2.0%) 898(0.5%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [79] 69.9% substitute-e [68] 13.1% constant? [165] 2.7% -------------------------------------------------------------------------- atab-add-altn [60] 100.0% [69] 3220(1.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [82] 73.9% for-loop [86] 19.9% loop [85] 6.2% -------------------------------------------------------------------------- expression-cost [61] 100.0% [70] 1708(1.0%) 200(0.1%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [112] 88.3% -------------------------------------------------------------------------- reduce-to-single! [62] 100.0% [71] 220(0.1%) 220(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------- atab-add-altn [60] 100.0% [72] 202(0.1%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [138] 100.0% -------------------------------------------------------------------------- match-e [56] 100.0% [73] 176(0.1%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [88] 100.0% -------------------------------------------------------------------------- match-e [56] 36.2% for-loop [65] 63.8% [74] 21354(12.0%) 2866(1.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [56] 82.7% ??? [93] 6.0% -------------------------------------------------------------------------- apply-match [47] 5.5% merge-egraph-nodes! [64] 94.5% [75] 21060(11.8%) 2004(1.1%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [89] 86.3% update-en-expr [127] 3.1% custom-set-union! [101] 1.0% -------------------------------------------------------------------------- loop [67] 32.0% loop [57] 68.0% [76] 11468(6.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [133] 50.5% loop [138] 43.3% eval-prog [92] 6.2% -------------------------------------------------------------------------- location-do [66] 100.0% [77] 9336(5.2%) 200(0.1%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [91] 77.5% f16 [131] 13.3% taylor-quotient [97] 7.0% -------------------------------------------------------------------------- loop [57] 42.0% loop [67] 58.0% [78] 8080(4.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [133] 100.0% -------------------------------------------------------------------------- expr->enode [38] 6.9% apply-match [47] 23.8% for-loop [58] 30.1% substitute-e [68] 39.2% [79] 6496(3.7%) 4928(2.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [99] 10.5% hash-has-key? [100] 10.3% mutable-set [106] 3.3% -------------------------------------------------------------------------- list-cartesian-product [80] 20.0% match-e [56] 36.0% for-loop [65] 44.0% [80] 4400(2.5%) 3698(2.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [80] 20.0% for-loop [98] 13.5% -------------------------------------------------------------------------- merge-egraph-nodes! [64] 100.0% [81] 3322(1.9%) 2720(1.5%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [127] 18.1% -------------------------------------------------------------------------- make-alt-table [54] 8.4% best-and-tied-at-points [69] 91.6% [82] 2598(1.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [94] 66.1% eval-prog [92] 33.9% -------------------------------------------------------------------------- merge-egraph-nodes! [64] 100.0% [83] 2340(1.3%) 218(0.1%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [95] 50.3% custom-set-intersect! [96] 40.4% -------------------------------------------------------------------------- merge-egraph-nodes! [64] 100.0% [84] 1958(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [64] 54.5% loop! [90] 45.5% -------------------------------------------------------------------------- best-and-tied-at-points [69] 22.7% one-iter [31] 77.3% [85] 880(0.5%) 880(0.5%) loop ...ket/collects/racket/private/list.rkt:264:4 -------------------------------------------------------------------------- best-and-tied-at-points [69] 100.0% [86] 640(0.4%) 640(0.4%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 -------------------------------------------------------------------------- merge-egraph-nodes! [64] 100.0% [87] 422(0.2%) 202(0.1%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 update-en-expr [127] 52.1% -------------------------------------------------------------------------- curry* [73] 100.0% [88] 176(0.1%) 176(0.1%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- update-leader! [75] 100.0% [89] 18184(10.2%) 1078(0.6%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [102] 94.1% -------------------------------------------------------------------------- for-loop [84] 4.3% merge-egraph-nodes! [64] 11.2% for-loop [58] 27.3% apply-match [47] 28.1% loop [138] 29.2% [90] 17308(9.7%) 3082(1.7%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [138] 35.7% custom-set-union [103] 33.7% set [104] 13.3% update-en-expr [127] 6.8% -------------------------------------------------------------------------- approximate9 [77] 100.0% [91] 7234(4.1%) 200(0.1%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [112] 97.2% -------------------------------------------------------------------------- make-exacts* [76] 29.0% loop [67] 34.8% errors [82] 36.2% [92] 2434(1.4%) 880(0.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [112] 63.8% -------------------------------------------------------------------------- for-loop [41] 26.4% for-loop [74] 73.6% [93] 1752(1.0%) 666(0.4%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [105] 62.0% -------------------------------------------------------------------------- errors [82] 100.0% [94] 1718(1.0%) 404(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [142] 63.6% ulp-difference [109] 12.9% -------------------------------------------------------------------------- enode-merge! [83] 100.0% [95] 1176(0.7%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [103] 100.0% -------------------------------------------------------------------------- enode-merge! [83] 100.0% [96] 946(0.5%) 704(0.4%) custom-set-intersect! ...ivate/set-types.rkt:270:0 for-loop [108] 25.6% -------------------------------------------------------------------------- hash-ref! [112] 26.9% approximate9 [77] 73.1% [97] 898(0.5%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [116] 51.4% loop [107] 48.6% -------------------------------------------------------------------------- list-cartesian-product [80] 100.0% [98] 702(0.4%) 702(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- mk-enode! [79] 100.0% [99] 684(0.4%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [106] 64.6% set [104] 35.4% -------------------------------------------------------------------------- mk-enode! [79] 100.0% [100] 668(0.4%) 668(0.4%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- update-leader! [75] 100.0% [101] 220(0.1%) 0(0.0%) custom-set-union! ...t/private/set-types.rkt:246:0 for-loop [110] 100.0% -------------------------------------------------------------------------- for-loop [89] 100.0% [102] 17106(9.6%) 222(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [111] 98.7% -------------------------------------------------------------------------- adopt-enode! [95] 16.5% loop! [90] 83.5% [103] 7118(4.0%) 2958(1.7%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [113] 49.4% for-loop [114] 9.1% -------------------------------------------------------------------------- new-enode [99] 4.6% loop! [90] 95.4% [104] 5208(2.9%) 5208(2.9%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- ??? [93] 100.0% [105] 1086(0.6%) 1086(0.6%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- mk-enode! [79] 32.8% new-enode [99] 67.2% [106] 658(0.4%) 658(0.4%) mutable-set ...racket/private/set-types.rkt:1000:0 -------------------------------------------------------------------------- taylor-quotient [97] 100.0% [107] 436(0.2%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [112] 100.0% -------------------------------------------------------------------------- custom-set-intersect! [96] 100.0% [108] 242(0.1%) 242(0.1%) for-loop ...cts/racket/private/set-types.rkt:273:4 -------------------------------------------------------------------------- for-loop [94] 100.0% [109] 222(0.1%) 222(0.1%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 -------------------------------------------------------------------------- custom-set-union! [101] 100.0% [110] 220(0.1%) 220(0.1%) for-loop ...cts/racket/private/set-types.rkt:254:4 -------------------------------------------------------------------------- for-loop [102] 100.0% [111] 16884(9.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [115] 100.0% -------------------------------------------------------------------------- for-loop [21] 0.5% for-loop [161] 0.5% for-loop [20] 0.6% loop [107] 0.7% ??? [7] 1.2% for-loop [19] 2.0% ??? [125] 2.0% localize-error [37] 2.6% for-loop [17] 4.4% eval-prog [92] 5.3% compile [70] 6.1% for-loop [16] 6.6% ??? [120] 6.7% ??? [145] 7.8% loop [138] 7.9% ??? [117] 11.5% ??? [118] 12.4% loop [91] 20.5% [112] 11754(6.6%) 1728(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [120] 15.6% simplify [116] 13.8% ??? [117] 12.8% ??? [118] 12.4% parse-loop364 [123] 7.7% ??? [6] 6.7% ??? [5] 6.6% f16 [131] 5.6% bigfloat-hash [121] 5.3% ??? [7] 3.2% taylor-quotient [97] 1.0% ??? [9] 0.6% -------------------------------------------------------------------------- custom-set-union [103] 100.0% [113] 3514(2.0%) 404(0.2%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [119] 88.5% -------------------------------------------------------------------------- custom-set-union [103] 100.0% [114] 646(0.4%) 646(0.4%) for-loop ...cts/racket/private/set-types.rkt:152:2 -------------------------------------------------------------------------- hash-update! [111] 100.0% [115] 16884(9.5%) 442(0.2%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [122] 97.4% -------------------------------------------------------------------------- taylor-sqrt [137] 2.8% for-loop [17] 2.8% first-nonzero-exp [23] 2.8% loop [138] 5.9% taylor-quotient [97] 6.4% hash-ref! [112] 79.3% [116] 7174(4.0%) 202(0.1%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [131] 85.4% debug7 [148] 6.1% debug-print [147] 2.8% parse-loop364 [123] 2.8% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [117] 5668(3.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [112] 88.6% ??? [125] 11.4% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [118] 4850(2.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [112] 100.0% -------------------------------------------------------------------------- for-loop [113] 100.0% [119] 3110(1.7%) 3110(1.7%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- hash-ref! [112] 100.0% [120] 2440(1.4%) 444(0.2%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [138] 55.4% hash-ref! [112] 39.7% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [121] 1554(0.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [124] 85.2% sig+exp->bigfloat [126] 14.8% -------------------------------------------------------------------------- ??? [115] 100.0% [122] 16442(9.2%) 13960(7.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [127] 15.1% -------------------------------------------------------------------------- f16 [131] 1.5% parse-loop364 [123] 1.5% simplify [116] 4.5% hash-ref! [112] 27.2% map [133] 28.6% append-map [42] 36.7% [123] 4490(2.5%) 444(0.2%) parse-loop364 .../racket/match/compiler.rkt:410:15 loop [138] 26.3% f16 [131] 23.2% for-loop [128] 20.1% foldr [129] 10.1% parse-app [135] 4.9% parse-loop364 [123] 1.5% append-map [42] 1.5% make-multiplication-node [140] 1.5% map [133] 1.0% -------------------------------------------------------------------------- bigfloat-hash [121] 100.0% [124] 1324(0.7%) 1324(0.7%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- for-loop [17] 40.7% ??? [117] 59.3% [125] 1086(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [112] 100.0% -------------------------------------------------------------------------- bigfloat-hash [121] 100.0% [126] 230(0.1%) 0(0.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [130] 100.0% -------------------------------------------------------------------------- for-loop [87] 3.6% for-loop [81] 9.8% update-leader! [75] 10.6% loop! [90] 35.7% for-loop [122] 40.4% [127] 6150(3.5%) 5740(3.2%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 for-loop [132] 6.7% -------------------------------------------------------------------------- parse-loop364 [123] 100.0% [128] 904(0.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [140] 48.9% simplify-node [139] 26.8% f16 [131] 24.3% -------------------------------------------------------------------------- parse-loop364 [123] 100.0% [129] 454(0.3%) 454(0.3%) foldr ...et/collects/racket/private/list.rkt:242:4 -------------------------------------------------------------------------- sig+exp->bigfloat [126] 100.0% [130] 230(0.1%) 230(0.1%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 -------------------------------------------------------------------------- for-loop [128] 0.4% simplify-node [139] 0.9% parse-loop364 [123] 2.1% composed [134] 2.6% append-map [42] 4.4% f16 [131] 6.9% approximate9 [77] 7.9% hash-ref! [112] 14.4% simplify [116] 29.7% map [133] 30.6% [131] 8856(5.0%) 1494(0.8%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [133] 60.2% append-map [42] 7.2% f16 [131] 6.9% composed [134] 2.6% parse-app [135] 2.5% gather-multiplicative-terms [136] 2.5% taylor [141] 2.3% taylor-sqrt [137] 2.3% combine-mterms [8] 1.5% parse-loop364 [123] 0.8% loop [138] 0.5% -------------------------------------------------------------------------- update-en-expr [127] 100.0% [132] 410(0.2%) 410(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:213:6 -------------------------------------------------------------------------- ??? [145] 0.3% parse-loop364 [123] 0.5% make-exacts* [76] 28.2% f16 [131] 31.7% loop [78] 39.3% [133] 20574(11.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [138] 67.2% f16 [131] 17.3% simplify-node [139] 4.3% ??? [145] 2.8% taylor [141] 2.3% parse-loop364 [123] 2.2% ??? [142] 2.0% taylor-invert [10] 0.5% make-multiplication-node [140] 0.5% ->flonum [159] 0.3% -------------------------------------------------------------------------- f16 [131] 100.0% [134] 1062(0.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f16 [131] 100.0% -------------------------------------------------------------------------- parse-loop364 [123] 50.0% f16 [131] 50.0% [135] 444(0.2%) 444(0.2%) parse-app .../collects/racket/private/kw.rkt:903:2 -------------------------------------------------------------------------- f16 [131] 100.0% [136] 220(0.1%) 220(0.1%) gather-multiplicative-terms ...re/reduce.rkt:107:0 -------------------------------------------------------------------------- f16 [131] 100.0% [137] 200(0.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [116] 100.0% -------------------------------------------------------------------------- loop [72] 0.0% make-exacts* [76] 0.2% parse-loop364 [123] 0.5% map [133] 0.5% f16 [131] 0.8% match-e [56] 1.6% append-map [42] 1.7% for-loop [65] 2.1% extract-alt [28] 2.1% map-enodes [33] 2.2% ??? [120] 2.6% post-process [26] 3.7% loop! [90] 6.2% loop [138] 75.7% [138] 51874(29.2%) 1764(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [138] 75.7% loop! [90] 5.6% completely-simplify-alt [4] 3.7% hash-ref! [112] 2.6% foldl [144] 2.4% for-loop [143] 2.2% simplify [3] 2.1% taylor-alt [48] 1.7% simplify [116] 0.8% ??? [142] 0.6% ??? [145] 0.5% curried [157] 0.1% ...higher-order.rkt:373:33 [164] 0.1% localize-error [37] 0.0% bfcube [171] 0.0% set-precompute! [149] 0.0% -------------------------------------------------------------------------- for-loop [128] 6.0% map [133] 94.0% [139] 2004(1.1%) 242(0.1%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [42] 76.8% combine-aterms [150] 11.1% f16 [131] 6.0% -------------------------------------------------------------------------- parse-loop364 [123] 18.9% map [133] 39.6% for-loop [128] 41.5% [140] 1066(0.6%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [146]100.0% -------------------------------------------------------------------------- f16 [131] 45.5% map [133] 54.5% [141] 884(0.5%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [147] 77.1% debug7 [148] 22.9% -------------------------------------------------------------------------- map [133] 2.1% for-loop [94] 5.5% loop [138] 92.4% [142] 19934(11.2%) 994(0.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [151] 73.2% real->bigfloat [179] 18.2% ??? [182] 3.6% -------------------------------------------------------------------------- map-enodes [33] 8.0% loop [138] 92.0% [143] 5716(3.2%) 1038(0.6%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [152] 42.8% eval-const-expr [153] 31.0% curried [157] 4.2% ->flonum [159] 3.8% -------------------------------------------------------------------------- for-loop [65] 41.1% loop [138] 58.9% [144] 2902(1.6%) 1622(0.9%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [154] 44.1% -------------------------------------------------------------------------- map [133] 22.8% loop [138] 77.2% [145] 1222(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [112] 94.4% map [133] 5.6% -------------------------------------------------------------------------- make-multiplication-node [140] 100.0% [146] 1066(0.6%) 422(0.2%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [158] 41.5% for-loop [162] 18.9% -------------------------------------------------------------------------- simplify [116] 22.9% taylor [141] 77.1% [147] 884(0.5%) 202(0.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [156] 77.1% -------------------------------------------------------------------------- taylor [141] 31.5% simplify [116] 68.5% [148] 642(0.4%) 200(0.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [160] 37.4% ??? [163] 31.5% -------------------------------------------------------------------------- loop [138] 100.0% [149] 240(0.1%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [155] 100.0% -------------------------------------------------------------------------- simplify-node [139] 100.0% [150] 222(0.1%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [161] 100.0% -------------------------------------------------------------------------- ??? [142] 100.0% [151] 14590(8.2%) 1328(0.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [178] 57.1% ...higher-order.rkt:373:33 [164] 16.0% bffma [166] 9.5% ...higher-order.rkt:369:33 [169] 3.3% ...ow-val-first.rkt:357:18 [177] 2.0% bf* [174] 1.5% -------------------------------------------------------------------------- for-loop [143] 100.0% [152] 2448(1.4%) 1566(0.9%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [168] 27.8% constant? [165] 8.3% -------------------------------------------------------------------------- for-loop [143] 100.0% [153] 1772(1.0%) 864(0.5%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [167] 38.7% bfcube [171] 12.5% -------------------------------------------------------------------------- foldl [144] 100.0% [154] 1280(0.7%) 1280(0.7%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- reduce-to-single! [62] 22.1% set-precompute! [149] 26.5% for-loop [43] 51.3% [155] 904(0.5%) 682(0.4%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [172] 24.6% -------------------------------------------------------------------------- debug-print [147] 100.0% [156] 682(0.4%) 682(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- for-loop [143] 35.0% loop [138] 65.0% [157] 680(0.4%) 680(0.4%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- make-multiplication-subnode [146]100.0% [158] 442(0.2%) 442(0.2%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------- map [133] 48.1% for-loop [143] 51.9% [159] 424(0.2%) 220(0.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [173] 48.1% -------------------------------------------------------------------------- debug7 [148] 100.0% [160] 240(0.1%) 0(0.0%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [170] 100.0% -------------------------------------------------------------------------- combine-aterms [150] 100.0% [161] 222(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [112] 100.0% -------------------------------------------------------------------------- make-multiplication-subnode [146]100.0% [162] 202(0.1%) 202(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 -------------------------------------------------------------------------- debug7 [148] 100.0% [163] 202(0.1%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [182] 100.0% -------------------------------------------------------------------------- loop [138] 20.7% ??? [151] 79.3% [164] 2934(1.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [180] 100.0% -------------------------------------------------------------------------- substitute-e [68] 9.1% setfindf [152] 9.3% match-e [56] 81.5% [165] 2168(1.2%) 2168(1.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- ??? [151] 100.0% [166] 1386(0.8%) 292(0.2%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [174] 78.9% -------------------------------------------------------------------------- eval-const-expr [153] 100.0% [167] 686(0.4%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [176] 100.0% -------------------------------------------------------------------------- setfindf [152] 100.0% [168] 680(0.4%) 680(0.4%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------- ??? [151] 100.0% [169] 484(0.3%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [182] 51.7% ??? [180] 48.3% -------------------------------------------------------------------------- for-loop [65] 50.0% return/no-unsupplied [160] 50.0% [170] 480(0.3%) 480(0.3%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- loop [138] 49.3% eval-const-expr [153] 50.7% [171] 438(0.2%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [174] 50.7% ...ow-val-first.rkt:357:18 [177] 49.3% -------------------------------------------------------------------------- make-sequence [155] 100.0% [172] 222(0.1%) 0(0.0%) ??? ...acket/collects/racket/private/for.rkt:428:7 custom-in-set [175] 100.0% -------------------------------------------------------------------------- ->flonum [159] 100.0% [173] 204(0.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [184] 100.0% -------------------------------------------------------------------------- ??? [151] 14.3% bfcube [171] 14.5% bffma [166] 71.2% [174] 1536(0.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [178] 100.0% -------------------------------------------------------------------------- ??? [172] 26.5% match-e [56] 73.5% [175] 838(0.5%) 838(0.5%) custom-in-set ...acket/private/set-types.rkt:578:0 -------------------------------------------------------------------------- inductor [176] 50.0% expression-induct31 [167] 50.0% [176] 686(0.4%) 242(0.1%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [176] 50.0% ??? [182] 17.6% real->bigfloat [179] 14.7% -------------------------------------------------------------------------- bfcube [171] 42.7% ??? [151] 57.3% [177] 506(0.3%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [180] 100.0% -------------------------------------------------------------------------- bf* [174] 15.6% ??? [151] 84.4% [178] 9870(5.5%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [181] 80.7% ??? [183] 19.3% -------------------------------------------------------------------------- inductor [176] 5.3% ??? [142] 94.7% [179] 3838(2.2%) 2814(1.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [184] 26.7% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [169] 6.4% ...ow-val-first.rkt:357:18 [177] 13.8% ...higher-order.rkt:373:33 [164] 79.9% [180] 3674(2.1%) 204(0.1%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [182] 94.4% -------------------------------------------------------------------------- ??? [178] 100.0% [181] 7970(4.5%) 5800(3.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [184] 27.2% -------------------------------------------------------------------------- ??? [163] 4.1% inductor [176] 5.0% ...higher-order.rkt:369:33 [169] 5.1% ??? [142] 14.6% ??? [180] 71.1% [182] 4878(2.7%) 214(0.1%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [183] 91.5% dict? [185] 4.1% -------------------------------------------------------------------------- ??? [178] 29.9% ??? [182] 70.1% [183] 6362(3.6%) 3922(2.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [186] 34.4% ??? [187] 3.9% -------------------------------------------------------------------------- ??? [173] 6.0% real->bigfloat [179] 30.1% bfmul [181] 63.9% [184] 3398(1.9%) 3398(1.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [182] 100.0% [185] 202(0.1%) 202(0.1%) dict? ...ollects/racket/private/generic.rkt:146:11 -------------------------------------------------------------------------- ??? [183] 100.0% [186] 2190(1.2%) 1176(0.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [188] 46.3% -------------------------------------------------------------------------- ??? [183] 100.0% [187] 250(0.1%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [189] 100.0% -------------------------------------------------------------------------- ??? [186] 100.0% [188] 1014(0.6%) 1014(0.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------- ??? [187] 100.0% [189] 250(0.1%) 250(0.1%) ??? ...lects/racket/contract/private/orc.rkt:73:14 --------------------------------------------------------------------------