Profiling results ----------------- Total cpu time observed: 95900ms (out of 101568ms) Number of samples taken: 430 (once every 223ms) (Hiding functions with self<1.0% and local<2.0%: 12 of 198 hidden) =============================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =============================================================================== ??? [64] 100.0% [1] 92640(96.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [17] 100.0% ------------------------------------------------------------------------------- ??? [64] 100.0% [2] 80188(83.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [18] 54.6% for-loop [21] 42.9% get-final-combination [28] 2.0% setup-prog [31] 0.3% loop [76] 0.2% ------------------------------------------------------------------------------- hash-ref! [143] 100.0% [3] 39446(41.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [35] 79.2% hash-ref! [143] 20.8% ------------------------------------------------------------------------------- hash-ref! [143] 100.0% [4] 39200(40.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 100.0% ------------------------------------------------------------------------------- hash-ref! [143] 100.0% [5] 36696(38.3%) 208(0.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [20] 99.8% ------------------------------------------------------------------------------- simplify-alt [41] 0.7% loop [132] 5.5% ??? [64] 93.8% [6] 29400(30.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [22] 61.3% for-loop [26] 20.1% iterate-egraph!5 [37] 16.4% loop [40] 2.3% ------------------------------------------------------------------------------- hash-ref! [143] 100.0% [7] 19000(19.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [23] 100.0% ------------------------------------------------------------------------------- hash-ref! [143] 100.0% [8] 15544(16.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [25] 53.2% hash-ref! [143] 46.8% ------------------------------------------------------------------------------- hash-ref! [143] 100.0% [9] 14566(15.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [24] 100.0% ------------------------------------------------------------------------------- post-process [33] 8.9% loop [132] 91.1% [10] 2570(2.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [22] 100.0% ------------------------------------------------------------------------------- f94 [115] 100.0% [11] 2124(2.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [27] 59.8% simplify [34] 40.2% ------------------------------------------------------------------------------- hash-ref! [143] 100.0% [12] 1802(1.9%) 228(0.2%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [132] 61.9% hash-ref! [143] 31.7% ------------------------------------------------------------------------------- hash-ref! [143] 100.0% [13] 1086(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [29] 100.0% ------------------------------------------------------------------------------- hash-ref! [143] 18.4% f94 [115] 81.6% [14] 1020(1.1%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [27] 100.0% ------------------------------------------------------------------------------- f94 [115] 100.0% [15] 896(0.9%) 458(0.5%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [30] 48.9% ------------------------------------------------------------------------------- loop [132] 100.0% [16] 422(0.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [143] 50.7% sort [32] 49.3% ------------------------------------------------------------------------------- profile-thunk14 [1] 99.8% [17] 92848(96.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [64] 100.0% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 43760(45.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [33] 100.0% ------------------------------------------------------------------------------- ??? [4] 100.0% [19] 39200(40.9%) 702(0.7%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [35] 67.3% hash-ref! [143] 29.6% simplify [34] 2.4% ------------------------------------------------------------------------------- ??? [5] 100.0% [20] 36696(38.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [143] 99.8% simplify [34] 0.2% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [21] 34402(35.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [36] 100.0% ------------------------------------------------------------------------------- completely-simplify-alt [10] 12.5% simplify [6] 87.5% [22] 20588(21.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [37] 96.7% loop [40] 3.3% ------------------------------------------------------------------------------- ??? [7] 100.0% [23] 19000(19.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [38] 100.0% ------------------------------------------------------------------------------- ??? [9] 100.0% [24] 14566(15.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [143] 100.0% ------------------------------------------------------------------------------- ??? [8] 100.0% [25] 8712(9.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [143] 100.0% ------------------------------------------------------------------------------- simplify [6] 100.0% [26] 5902(6.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [37] 96.7% loop [40] 3.3% ------------------------------------------------------------------------------- taylor-sqrt [136] 9.0% taylor-quotient [14] 40.5% taylor-invert [11] 50.5% [27] 2516(2.6%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [143] 90.9% simplify [34] 9.1% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [28] 1620(1.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [39] 100.0% ------------------------------------------------------------------------------- ??? [13] 100.0% [29] 1086(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [123] 100.0% ------------------------------------------------------------------------------- combine-mterms [15] 100.0% [30] 438(0.5%) 210(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [143] 52.1% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [31] 210(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [41] 100.0% ------------------------------------------------------------------------------- localize-error [16] 100.0% [32] 208(0.2%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 jloop [42] 100.0% ------------------------------------------------------------------------------- finalize-table! [18] 100.0% [33] 43760(45.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [43] 92.1% loop [132] 6.3% ??? [59] 1.0% completely-simplify-alt [10] 0.5% ------------------------------------------------------------------------------- first-nonzero-exp [27] 0.5% for-loop [20] 0.5% taylor-invert [11] 2.0% for-loop [19] 6.6% hash-ref! [143] 89.0% [34] 43674(45.5%) 454(0.5%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [115] 46.4% parse-loop50 [123] 43.1% debug-print [135] 4.4% simplify-node [47] 3.0% debug7 [51] 1.4% simplify* [127] 0.5% ------------------------------------------------------------------------------- ??? [3] 27.1% for-loop [19] 72.9% [35] 37710(39.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [143] 100.0% ------------------------------------------------------------------------------- for-loop [21] 100.0% [36] 34402(35.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [45] 80.8% gen-series! [46] 15.0% finalize-iter! [50] 3.0% choose-best-alt! [52] 1.2% ------------------------------------------------------------------------------- simplify [6] 15.8% for-loop [26] 18.8% simplify-expr [22] 65.4% [37] 30432(31.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [44] 94.4% map-enodes [49] 4.2% debug7 [51] 0.8% ------------------------------------------------------------------------------- for-loop [23] 100.0% [38] 19000(19.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [143] 100.0% ------------------------------------------------------------------------------- get-final-combination [28] 100.0% [39] 1620(1.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [132] 100.0% ------------------------------------------------------------------------------- for-loop [26] 12.5% simplify [6] 43.7% simplify-expr [22] 43.8% [40] 1538(1.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [48] 100.0% ------------------------------------------------------------------------------- setup-prog [31] 100.0% [41] 210(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [6] 100.0% ------------------------------------------------------------------------------- sort [32] 100.0% [42] 208(0.2%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 errors-score [53] 100.0% ------------------------------------------------------------------------------- post-process [33] 100.0% [43] 40324(42.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [54] 100.0% ------------------------------------------------------------------------------- iterate-egraph!5 [37] 100.0% [44] 28726(30.0%) 1086(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [56] 57.3% loop [57] 33.5% apply-match [66] 4.6% ------------------------------------------------------------------------------- run-iter! [36] 100.0% [45] 27792(29.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [55] 100.0% ------------------------------------------------------------------------------- run-iter! [36] 100.0% [46] 5158(5.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [58] 100.0% ------------------------------------------------------------------------------- parse-loop50 [123] 7.8% simplify [34] 31.2% map [119] 61.0% [47] 4260(4.4%) 438(0.5%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [54] 34.3% f94 [115] 31.5% combine-aterms [61] 26.4% ------------------------------------------------------------------------------- loop [40] 100.0% [48] 1538(1.6%) 216(0.2%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [60] 86.0% ------------------------------------------------------------------------------- iterate-egraph!5 [37] 100.0% [49] 1288(1.3%) 228(0.2%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [132] 82.3% ------------------------------------------------------------------------------- run-iter! [36] 100.0% [50] 1048(1.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [59] 100.0% ------------------------------------------------------------------------------- iterate-egraph!5 [37] 27.1% simplify [34] 72.9% [51] 856(0.9%) 628(0.7%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [62] 26.6% ------------------------------------------------------------------------------- run-iter! [36] 100.0% [52] 404(0.4%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [59] 100.0% ------------------------------------------------------------------------------- jloop [42] 100.0% [53] 208(0.2%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [63] 100.0% ------------------------------------------------------------------------------- parse-loop50 [123] 0.2% simplify-node [47] 1.2% f94 [115] 7.9% for-loop [43] 90.7% [54] 41012(42.8%) 1552(1.6%) append-map ...acket/collects/racket/list.rkt:565:2 loop [132] 51.4% taylor-alt [65] 39.5% f94 [115] 6.0% parse-loop50 [123] 1.4% ------------------------------------------------------------------------------- simplify! [45] 100.0% [55] 27792(29.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [64] 99.2% debug-print [135] 0.8% ------------------------------------------------------------------------------- for-loop [56] 50.0% one-iter [44] 50.0% [56] 16462(17.2%) 2852(3.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [56] 50.0% match-e [75] 40.6% ??? [109] 0.7% ------------------------------------------------------------------------------- one-iter [44] 100.0% [57] 9618(10.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [66] 100.0% ------------------------------------------------------------------------------- gen-series! [46] 100.0% [58] 5158(5.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [65] 100.0% ------------------------------------------------------------------------------- choose-best-alt! [52] 21.3% post-process [33] 23.4% finalize-iter! [50] 55.3% [59] 1896(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [67] 78.7% atab-pick-alt8 [71] 21.3% ------------------------------------------------------------------------------- pass [48] 100.0% [60] 1322(1.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [69] 48.1% argmin [70] 34.6% loop [73] 17.2% ------------------------------------------------------------------------------- simplify-node [47] 100.0% [61] 1124(1.2%) 226(0.2%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [68] 79.9% ------------------------------------------------------------------------------- debug7 [51] 100.0% [62] 228(0.2%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [72] 100.0% ------------------------------------------------------------------------------- errors-score [53] 100.0% [63] 208(0.2%) 208(0.2%) loop ...hare/racket/collects/racket/list.rkt:551:2 ------------------------------------------------------------------------------- for-loop [55] 10.0% run [17] 44.3% [64] 95442(99.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.1% run-improve58 [2] 37.8% simplify [6] 10.0% loop [76] 8.1% ------------------------------------------------------------------------------- for-loop [58] 11.3% append-map [54] 39.3% loop [132] 49.4% [65] 45482(47.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [74] 100.0% ------------------------------------------------------------------------------- one-iter [44] 12.2% loop [57] 87.8% [66] 10950(11.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [75] 25.8% merge-egraph-nodes! [85] 22.7% for-loop [77] 14.4% update-leader! [96] 10.3% substitute-e [79] 10.0% mk-enode! [86] 8.4% loop! [147] 8.3% ------------------------------------------------------------------------------- ??? [59] 100.0% [67] 1492(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [78] 100.0% ------------------------------------------------------------------------------- combine-aterms [61] 100.0% [68] 898(0.9%) 460(0.5%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [143] 48.8% ------------------------------------------------------------------------------- for-loop [60] 100.0% [69] 636(0.7%) 636(0.7%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------------- for-loop [60] 100.0% [70] 458(0.5%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [80] 100.0% ------------------------------------------------------------------------------- ??? [59] 100.0% [71] 404(0.4%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [81] 100.0% ------------------------------------------------------------------------------- ??? [62] 100.0% [72] 228(0.2%) 228(0.2%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ------------------------------------------------------------------------------- for-loop [60] 100.0% [73] 228(0.2%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [80] 100.0% ------------------------------------------------------------------------------- taylor-alt [65] 100.0% [74] 45482(47.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [82] 100.0% ------------------------------------------------------------------------------- apply-match [66] 11.4% for-loop [95] 13.6% for-loop [56] 75.0% [75] 16204(16.9%) 8524(8.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [83] 42.7% for-loop [95] 6.1% loop [132] 4.1% list-cartesian-product [97] 1.9% ------------------------------------------------------------------------------- run-improve58 [2] 1.3% ??? [64] 98.7% [76] 15450(16.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [84] 50.4% make-exacts* [93] 35.8% loop [94] 12.4% for-loop [91] 1.3% ------------------------------------------------------------------------------- apply-match [66] 100.0% [77] 1578(1.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [85] 70.8% loop! [147] 29.2% ------------------------------------------------------------------------------- for-loop [67] 100.0% [78] 1492(1.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [87] 86.1% loop [90] 13.9% ------------------------------------------------------------------------------- substitute-e [79] 21.0% apply-match [66] 79.0% [79] 1096(1.1%) 228(0.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [86] 58.0% substitute-e [79] 21.0% constant? [139] 10.6% ------------------------------------------------------------------------------- loop [73] 33.2% argmin [70] 66.8% [80] 686(0.7%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [88] 100.0% ------------------------------------------------------------------------------- atab-pick-alt8 [71] 100.0% [81] 404(0.4%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [89] 100.0% ------------------------------------------------------------------------------- location-do [82] 29.3% for-loop [74] 70.7% [82] 45482(47.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [92] 70.7% location-do [82] 29.3% ------------------------------------------------------------------------------- match-e [75] 100.0% [83] 8160(8.5%) 3514(3.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [95] 35.7% list-cartesian-product [97] 15.7% curry* [102] 2.8% filter [103] 2.8% ------------------------------------------------------------------------------- loop [76] 100.0% [84] 7788(8.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [94] 44.9% make-exacts* [93] 43.9% eval-prog [121] 11.2% ------------------------------------------------------------------------------- merge-egraph-nodes! [85] 7.2% for-loop [77] 31.0% apply-match [66] 61.8% [85] 3606(3.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [96] 53.4% enode-merge! [98] 19.1% for-loop [100] 18.4% merge-egraph-nodes! [85] 7.2% loop! [147] 2.0% ------------------------------------------------------------------------------- substitute-e [79] 40.9% apply-match [66] 59.1% [86] 1556(1.6%) 880(0.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [99] 43.4% ------------------------------------------------------------------------------- atab-add-altn [78] 100.0% [87] 1284(1.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [117] 83.3% for-loop [104] 16.7% ------------------------------------------------------------------------------- expression-cost [80] 100.0% [88] 686(0.7%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [143] 100.0% ------------------------------------------------------------------------------- ??? [81] 100.0% [89] 404(0.4%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [101] 100.0% ------------------------------------------------------------------------------- atab-add-altn [78] 100.0% [90] 208(0.2%) 208(0.2%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 ------------------------------------------------------------------------------- loop [76] 100.0% [91] 208(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [105] 100.0% ------------------------------------------------------------------------------- location-do [82] 100.0% [92] 45482(47.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [106] 94.6% f94 [115] 4.4% taylor-sqrt [136] 1.0% ------------------------------------------------------------------------------- loop [84] 38.2% loop [76] 61.8% [93] 8948(9.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [119] 50.7% loop [132] 44.3% eval-prog [121] 5.1% ------------------------------------------------------------------------------- loop [76] 35.5% loop [84] 64.5% [94] 5418(5.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [119] 100.0% ------------------------------------------------------------------------------- match-e [75] 34.2% for-loop [83] 65.8% [95] 5082(5.3%) 458(0.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [75] 86.5% ??? [109] 4.5% ------------------------------------------------------------------------------- apply-match [66] 35.7% merge-egraph-nodes! [85] 64.3% [96] 3172(3.3%) 452(0.5%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [108] 85.8% ------------------------------------------------------------------------------- match-e [75] 16.6% list-cartesian-product [97] 22.3% for-loop [83] 61.2% [97] 1900(2.0%) 1900(2.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [97] 22.3% ------------------------------------------------------------------------------- merge-egraph-nodes! [85] 100.0% [98] 688(0.7%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [110] 66.0% custom-set-intersect! [111] 34.0% ------------------------------------------------------------------------------- mk-enode! [86] 100.0% [99] 676(0.7%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [112] 34.0% set [158] 34.0% check-valid-enode5 [114] 32.0% ------------------------------------------------------------------------------- merge-egraph-nodes! [85] 100.0% [100] 664(0.7%) 456(0.5%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [155] 31.3% ------------------------------------------------------------------------------- best-alt [89] 100.0% [101] 404(0.4%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [107] 100.0% ------------------------------------------------------------------------------- for-loop [83] 100.0% [102] 230(0.2%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [113] 100.0% ------------------------------------------------------------------------------- for-loop [83] 100.0% [103] 228(0.2%) 228(0.2%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------------- best-and-tied-at-points [87] 100.0% [104] 214(0.2%) 214(0.2%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------------- for-loop [91] 100.0% [105] 208(0.2%) 208(0.2%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 ------------------------------------------------------------------------------- approximate9 [92] 100.0% [106] 43032(44.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [143] 100.0% ------------------------------------------------------------------------------- loop [101] 12.3% f94 [115] 87.7% [107] 3286(3.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f94 [115] 73.8% free-variables [118] 13.9% errors [117] 12.3% ------------------------------------------------------------------------------- update-leader! [96] 100.0% [108] 2720(2.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [116] 100.0% ------------------------------------------------------------------------------- for-loop [95] 49.8% for-loop [56] 50.2% [109] 462(0.5%) 462(0.5%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ------------------------------------------------------------------------------- enode-merge! [98] 100.0% [110] 454(0.5%) 226(0.2%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [157] 50.2% ------------------------------------------------------------------------------- enode-merge! [98] 100.0% [111] 234(0.2%) 234(0.2%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ------------------------------------------------------------------------------- new-enode [99] 100.0% [112] 230(0.2%) 230(0.2%) mutable-set ...racket/private/set-types.rkt:1000:0 ------------------------------------------------------------------------------- curry* [102] 100.0% [113] 230(0.2%) 230(0.2%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------------------- new-enode [99] 100.0% [114] 216(0.2%) 216(0.2%) check-valid-enode5 ...bie/src/core/enode.rkt:177:0 ------------------------------------------------------------------------------- ??? [125] 0.2% for-loop [138] 0.4% simplify-node [47] 1.0% composed [107] 1.1% hash-ref! [143] 2.6% approximate9 [92] 3.2% loop [132] 4.3% parse-loop50 [123] 6.5% append-map [54] 7.5% f94 [115] 9.3% simplify [34] 29.3% map [119] 34.6% [115] 26750(27.9%) 5922(6.2%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [119] 61.8% f94 [115] 9.3% append-map [54] 8.9% taylor-invert [11] 1.7% composed [107] 1.6% compose [172] 1.2% parse-app [133] 0.8% combine-mterms [15] 0.8% parse-loop50 [123] 0.6% taylor-quotient [14] 0.4% taylor [126] 0.1% ------------------------------------------------------------------------------- for-loop [108] 100.0% [116] 2720(2.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [120] 100.0% ------------------------------------------------------------------------------- composed [107] 27.4% best-and-tied-at-points [87] 72.6% [117] 1474(1.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [122] 71.4% eval-prog [121] 28.6% ------------------------------------------------------------------------------- composed [107] 100.0% [118] 458(0.5%) 458(0.5%) free-variables ...ock/herbie/src/programs.rkt:89:0 ------------------------------------------------------------------------------- ??? [125] 0.3% parse-loop50 [123] 11.7% make-exacts* [93] 13.0% loop [94] 15.5% f94 [115] 59.1% [119] 34990(36.5%) 1030(1.1%) map ...acket/collects/racket/private/map.rkt:21:13 f94 [115] 37.1% loop [132] 32.9% parse-loop50 [123] 20.5% simplify-node [47] 2.5% ??? [125] 2.0% make-multiplication-node [145] 1.0% ??? [144] 0.7% taylor-sqrt [136] 0.6% ->flonum [128] 0.3% taylor [126] 0.2% ??? [129] 0.1% simplify* [127] 0.0% ------------------------------------------------------------------------------- for-loop [116] 100.0% [120] 2720(2.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [124] 100.0% ------------------------------------------------------------------------------- errors [117] 24.1% make-exacts* [93] 25.8% loop [84] 50.1% [121] 1750(1.8%) 422(0.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [143] 63.8% ??? [130] 12.1% ------------------------------------------------------------------------------- errors [117] 100.0% [122] 1052(1.1%) 230(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [144] 41.4% ->flonum [128] 18.6% ulp-difference [131] 18.1% ------------------------------------------------------------------------------- f94 [115] 1.9% for-loop [29] 2.7% append-map [54] 5.3% loop [132] 7.7% map [119] 24.6% simplify [34] 27.2% parse-loop50 [123] 30.6% [123] 30940(32.3%) 20196(21.1%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [123] 30.6% loop [132] 9.2% map [119] 8.9% f94 [115] 7.8% parse-app [133] 4.1% for-loop [137] 2.7% make-multiplication-node [145] 1.9% append-map [54] 1.5% for-loop [138] 1.2% simplify-node [47] 0.8% ------------------------------------------------------------------------------- hash-update! [120] 100.0% [124] 2720(2.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [134] 100.0% ------------------------------------------------------------------------------- loop [132] 19.0% map [119] 81.0% [125] 1128(1.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 taylor-sqrt [136] 40.8% f94 [115] 40.2% map [119] 19.0% ------------------------------------------------------------------------------- map [119] 49.8% f94 [115] 50.2% [126] 462(0.5%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [135] 100.0% ------------------------------------------------------------------------------- map [119] 49.8% simplify [34] 50.2% [127] 454(0.5%) 226(0.2%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 constant? [139] 50.2% ------------------------------------------------------------------------------- for-loop [122] 47.8% map [119] 52.2% [128] 410(0.4%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [183] 52.2% ??? [140] 47.8% ------------------------------------------------------------------------------- map [119] 100.0% [129] 226(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [141] 100.0% ------------------------------------------------------------------------------- eval-prog [121] 100.0% [130] 212(0.2%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [142] 100.0% ------------------------------------------------------------------------------- for-loop [122] 100.0% [131] 190(0.2%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [140] 100.0% ------------------------------------------------------------------------------- make-exacts* [93] 0.1% post-process [33] 0.5% map-enodes [49] 0.7% loop! [147] 0.9% match-e [75] 0.9% extract-alt [39] 1.2% ??? [12] 2.3% map [119] 4.0% parse-loop50 [123] 9.8% append-map [54] 39.0% loop [132] 40.5% [132] 48256(50.3%) 210(0.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [132] 40.5% taylor-alt [65] 38.3% parse-loop50 [123] 9.9% f94 [115] 4.1% hash-ref! [143] 2.3% simplify [6] 1.2% loop! [147] 0.9% foldl [149] 0.7% for-loop [148] 0.7% ??? [144] 0.7% completely-simplify-alt [10] 0.3% localize-error [16] 0.2% ??? [125] 0.0% ------------------------------------------------------------------------------- f94 [115] 8.2% parse-loop50 [123] 91.8% [133] 2764(2.9%) 2326(2.4%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [150] 15.8% ------------------------------------------------------------------------------- ??? [124] 100.0% [134] 2720(2.8%) 2042(2.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [155] 24.9% ------------------------------------------------------------------------------- for-loop [55] 8.5% taylor [126] 17.6% simplify [34] 74.0% [135] 2626(2.7%) 880(0.9%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [146] 66.5% ------------------------------------------------------------------------------- map [119] 20.0% approximate9 [92] 39.2% ??? [125] 40.8% [136] 1128(1.2%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [143] 80.0% first-nonzero-exp [27] 20.0% ------------------------------------------------------------------------------- parse-loop50 [123] 100.0% [137] 1086(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [143] 100.0% ------------------------------------------------------------------------------- parse-loop50 [123] 100.0% [138] 906(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [145] 50.8% f94 [115] 49.2% ------------------------------------------------------------------------------- simplify* [127] 49.6% substitute-e [79] 50.4% [139] 460(0.5%) 460(0.5%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------------- ulp-difference [131] 49.2% ->flonum [128] 50.8% [140] 386(0.4%) 386(0.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------------- ??? [129] 100.0% [141] 226(0.2%) 226(0.2%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 ------------------------------------------------------------------------------- ??? [130] 100.0% [142] 212(0.2%) 212(0.2%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------------- for-loop [30] 0.1% for-loop [68] 0.1% for-loop [137] 0.2% localize-error [16] 0.5% eval-prog [121] 0.6% ??? [12] 0.7% compile [88] 0.7% taylor-sqrt [136] 1.1% first-nonzero-exp [27] 1.4% for-loop [25] 1.6% ??? [8] 1.7% loop [132] 1.8% ??? [3] 2.3% for-loop [24] 2.9% for-loop [38] 3.4% ??? [151] 8.3% for-loop [19] 8.8% loop [106] 11.5% for-loop [20] 15.9% ??? [35] 36.0% [143] 46402(48.4%) 1332(1.4%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 39.0% ??? [5] 16.0% simplify [34] 10.7% ??? [3] 9.4% ??? [151] 8.3% ??? [7] 3.4% ??? [8] 3.3% ??? [9] 2.9% ??? [12] 2.7% f94 [115] 2.6% bigfloat-hash [156] 0.6% ??? [13] 0.2% taylor-quotient [14] 0.1% ------------------------------------------------------------------------------- map [119] 1.8% for-loop [122] 3.0% loop [132] 95.2% [144] 14350(15.0%) 1404(1.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [152] 70.9% real->bigfloat [154] 13.0% ??? [179] 6.3% ------------------------------------------------------------------------------- for-loop [138] 15.6% parse-loop50 [123] 31.1% map [119] 53.3% [145] 2944(3.1%) 228(0.2%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [153] 92.3% ------------------------------------------------------------------------------- debug-print [135] 100.0% [146] 1746(1.8%) 1746(1.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------------- merge-egraph-nodes! [85] 6.8% for-loop [77] 21.8% loop [132] 28.2% apply-match [66] 43.2% [147] 1584(1.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [157] 43.6% loop [132] 28.2% set [158] 14.6% update-en-expr [155] 13.6% ------------------------------------------------------------------------------- loop [132] 100.0% [148] 1060(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [159] 60.2% compose [172] 21.9% setfindf [161] 17.9% ------------------------------------------------------------------------------- loop [132] 100.0% [149] 456(0.5%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [160] 100.0% ------------------------------------------------------------------------------- loop [150] 25.3% parse-app [133] 74.7% [150] 438(0.5%) 438(0.5%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [150] 25.3% ------------------------------------------------------------------------------- hash-ref! [143] 100.0% [151] 19088(19.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [143] 100.0% ------------------------------------------------------------------------------- ??? [144] 100.0% [152] 10170(10.6%) 1416(1.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [170] 39.2% ...higher-order.rkt:373:33 [162] 23.8% bf* [163] 23.1% ------------------------------------------------------------------------------- make-multiplication-node [145] 100.0% [153] 2716(2.8%) 230(0.2%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [164] 58.0% group-by68 [166] 33.6% ------------------------------------------------------------------------------- ??? [144] 100.0% [154] 1870(1.9%) 1422(1.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [184] 24.0% ------------------------------------------------------------------------------- for-loop [100] 15.8% loop! [147] 32.8% for-loop [134] 51.4% [155] 1318(1.4%) 1318(1.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------------- hash-ref! [143] 100.0% [156] 1116(1.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [165] 100.0% ------------------------------------------------------------------------------- adopt-enode! [110] 24.8% loop! [147] 75.2% [157] 918(1.0%) 230(0.2%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [167] 74.9% ------------------------------------------------------------------------------- new-enode [99] 33.2% loop! [147] 66.8% [158] 692(0.7%) 692(0.7%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------------- for-loop [148] 100.0% [159] 638(0.7%) 226(0.2%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [168] 64.6% ------------------------------------------------------------------------------- foldl [149] 100.0% [160] 456(0.5%) 456(0.5%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------------- for-loop [148] 100.0% [161] 190(0.2%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [169] 100.0% ------------------------------------------------------------------------------- ??? [152] 100.0% [162] 2418(2.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [171] 80.5% ??? [179] 19.5% ------------------------------------------------------------------------------- ??? [152] 100.0% [163] 2354(2.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [170] 100.0% ------------------------------------------------------------------------------- make-multiplication-subnode [153] 100.0% [164] 1574(1.6%) 684(0.7%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 partition [174] 27.4% compose [172] 14.6% make-multiplication-subsubsubnode [176] 14.5% ------------------------------------------------------------------------------- bigfloat-hash [156] 100.0% [165] 1116(1.2%) 890(0.9%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [177] 20.3% ------------------------------------------------------------------------------- make-multiplication-subnode [153] 100.0% [166] 912(1.0%) 912(1.0%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------------- custom-set-union [157] 100.0% [167] 688(0.7%) 232(0.2%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [173] 66.3% ------------------------------------------------------------------------------- eval-const-expr [159] 100.0% [168] 412(0.4%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [175] 100.0% ------------------------------------------------------------------------------- setfindf [161] 100.0% [169] 190(0.2%) 190(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ------------------------------------------------------------------------------- bf* [163] 37.2% ??? [152] 62.8% [170] 6336(6.6%) 930(1.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [178] 52.6% bfsqrt [180] 18.3% ??? [183] 14.4% ------------------------------------------------------------------------------- ...higher-order.rkt:373:33 [162] 100.0% [171] 1946(2.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [179] 100.0% ------------------------------------------------------------------------------- for-loop [164] 14.3% for-loop [148] 14.4% f94 [115] 71.2% [172] 1606(1.7%) 1606(1.7%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------------- for-loop [167] 100.0% [173] 456(0.5%) 456(0.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------------- for-loop [164] 100.0% [174] 432(0.5%) 432(0.5%) partition ...racket/collects/racket/list.rkt:547:0 ------------------------------------------------------------------------------- inductor [175] 50.0% expression-induct31 [168] 50.0% [175] 412(0.4%) 182(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [175] 50.0% integer->bigfloat [181] 27.9% ------------------------------------------------------------------------------- for-loop [164] 100.0% [176] 228(0.2%) 228(0.2%) make-multiplication-subsubsubnode ...uce.rkt:253:0 ------------------------------------------------------------------------------- bfcanonicalize [165] 100.0% [177] 226(0.2%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [182] 100.0% ------------------------------------------------------------------------------- ??? [170] 100.0% [178] 3334(3.5%) 1842(1.9%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [184] 44.8% ------------------------------------------------------------------------------- ...higher-order.rkt:373:33 [162] 14.2% ??? [144] 27.3% ??? [171] 58.5% [179] 3324(3.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [183] 100.0% ------------------------------------------------------------------------------- ??? [170] 100.0% [180] 1162(1.2%) 448(0.5%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [184] 61.4% ------------------------------------------------------------------------------- inductor [175] 100.0% [181] 230(0.2%) 230(0.2%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ------------------------------------------------------------------------------- bigfloat->sig+exp [177] 100.0% [182] 226(0.2%) 226(0.2%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 ------------------------------------------------------------------------------- ->flonum [128] 4.8% ??? [170] 20.5% ??? [179] 74.7% [183] 4448(4.6%) 2330(2.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [185] 47.6% ------------------------------------------------------------------------------- real->bigfloat [154] 16.9% bfsqrt [180] 26.9% bfsub [178] 56.2% [184] 2654(2.8%) 2654(2.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------------- ??? [183] 100.0% [185] 2118(2.2%) 1126(1.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [186] 46.8% ------------------------------------------------------------------------------- ??? [185] 100.0% [186] 992(1.0%) 992(1.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------------