Profiling results ----------------- Total cpu time observed: 54598ms (out of 55260ms) Number of samples taken: 251 (once every 218ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 180 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [50] 100.0% [1] 51540(94.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% ------------------------------------------------------------------------ ??? [50] 100.0% [2] 34060(62.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [14] 56.7% finalize-table! [15] 38.3% get-final-combination [22] 3.2% loop [58] 1.2% setup-prog [24] 0.6% ------------------------------------------------------------------------ simplify-alt [33] 1.1% loop [126] 6.4% ??? [50] 92.5% [3] 17304(31.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [16] 49.2% iterate-egraph!5 [26] 28.5% for-loop [17] 22.3% ------------------------------------------------------------------------ hash-ref! [104] 100.0% [4] 4532(8.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [104] 53.5% ??? [29] 46.5% ------------------------------------------------------------------------ post-process [28] 4.7% loop [126] 95.3% [5] 4226(7.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [16] 100.0% ------------------------------------------------------------------------ hash-ref! [104] 100.0% [6] 3752(6.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [18] 100.0% ------------------------------------------------------------------------ hash-ref! [104] 100.0% [7] 3632(6.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 100.0% ------------------------------------------------------------------------ hash-ref! [104] 100.0% [8] 1542(2.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [104] 81.7% for-loop [23] 18.3% ------------------------------------------------------------------------ hash-ref! [104] 100.0% [9] 1504(2.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [20] 100.0% ------------------------------------------------------------------------ hash-ref! [104] 100.0% [10] 1362(2.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [21] 100.0% ------------------------------------------------------------------------ f3 [112] 100.0% [11] 954(1.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [155] 55.6% simplify [107] 44.4% ------------------------------------------------------------------------ hash-ref! [104] 100.0% [12] 198(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [25] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [13] 51540(94.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [50] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [14] 19312(35.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [27] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [15] 13046(23.9%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [28] 100.0% ------------------------------------------------------------------------ completely-simplify-alt [5] 33.2% simplify [3] 66.8% [16] 12744(23.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [26] 95.5% loop [32] 4.5% ------------------------------------------------------------------------ simplify [3] 100.0% [17] 3862(7.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [26] 94.3% loop [32] 5.7% ------------------------------------------------------------------------ ??? [6] 100.0% [18] 3752(6.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [104] 100.0% ------------------------------------------------------------------------ ??? [7] 100.0% [19] 3632(6.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [29] 51.9% hash-ref! [104] 42.3% simplify [107] 5.8% ------------------------------------------------------------------------ ??? [9] 100.0% [20] 1504(2.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [104] 100.0% ------------------------------------------------------------------------ ??? [10] 100.0% [21] 1362(2.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [30] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [22] 1106(2.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [31] 100.0% ------------------------------------------------------------------------ ??? [8] 100.0% [23] 372(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [104] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [24] 198(0.4%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [33] 100.0% ------------------------------------------------------------------------ ??? [12] 100.0% [25] 198(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [120] 100.0% ------------------------------------------------------------------------ for-loop [17] 17.6% simplify [3] 23.7% simplify-expr [16] 58.7% [26] 20742(38.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [34] 96.2% debug7 [154] 2.0% ------------------------------------------------------------------------ for-loop [14] 100.0% [27] 19312(35.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [35] 82.9% gen-series! [38] 11.7% localize-error [37] 2.2% finalize-iter! [40] 2.0% choose-best-alt! [41] 1.1% ------------------------------------------------------------------------ finalize-table! [15] 100.0% [28] 13046(23.9%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [36] 48.2% loop [126] 41.0% ??? [47] 5.1% localize-error [37] 4.2% completely-simplify-alt [5] 1.5% ------------------------------------------------------------------------ ??? [4] 44.2% for-loop [19] 55.8% [29] 3574(6.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [104] 100.0% ------------------------------------------------------------------------ for-loop [21] 100.0% [30] 1362(2.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [104] 100.0% ------------------------------------------------------------------------ get-final-combination [22] 100.0% [31] 1106(2.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [126] 100.0% ------------------------------------------------------------------------ for-loop [17] 27.9% simplify-expr [16] 72.1% [32] 788(1.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [39] 100.0% ------------------------------------------------------------------------ setup-prog [24] 100.0% [33] 198(0.4%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [26] 100.0% [34] 19946(36.5%) 242(0.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [43] 73.6% loop [45] 21.3% apply-match [52] 3.9% ------------------------------------------------------------------------ run-iter! [27] 100.0% [35] 16000(29.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [42] 100.0% ------------------------------------------------------------------------ post-process [28] 100.0% [36] 6294(11.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [44] 100.0% ------------------------------------------------------------------------ run-iter! [27] 18.9% post-process [28] 23.8% loop [126] 57.3% [37] 2296(4.2%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [104] 91.8% sort [49] 8.2% ------------------------------------------------------------------------ run-iter! [27] 100.0% [38] 2264(4.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [46] 100.0% ------------------------------------------------------------------------ loop [32] 100.0% [39] 788(1.4%) 220(0.4%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [48] 72.1% ------------------------------------------------------------------------ run-iter! [27] 100.0% [40] 394(0.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [47] 100.0% ------------------------------------------------------------------------ run-iter! [27] 100.0% [41] 220(0.4%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [47] 100.0% ------------------------------------------------------------------------ simplify! [35] 100.0% [42] 16000(29.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [50] 100.0% ------------------------------------------------------------------------ for-loop [43] 48.5% one-iter [34] 51.5% [43] 14686(26.9%) 4196(7.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [43] 48.5% match-e [59] 35.7% ------------------------------------------------------------------------ simplify-node [136] 3.7% f3 [112] 5.8% for-loop [36] 90.5% [44] 6678(12.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 loop [126] 47.1% taylor-alt [51] 43.4% parse-loop12 [120] 7.9% f3 [112] 1.6% ------------------------------------------------------------------------ one-iter [34] 100.0% [45] 4250(7.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [52] 100.0% ------------------------------------------------------------------------ gen-series! [38] 100.0% [46] 2264(4.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [51] 100.0% ------------------------------------------------------------------------ debug7 [154] 13.3% choose-best-alt! [41] 14.9% finalize-iter! [40] 26.7% post-process [28] 45.0% [47] 1474(2.7%) 196(0.4%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [53] 71.8% atab-pick-alt8 [55] 14.9% ------------------------------------------------------------------------ pass [39] 100.0% [48] 568(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [54] 71.1% argmin [57] 28.9% ------------------------------------------------------------------------ localize-error [37] 100.0% [49] 188(0.3%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 errors-score [56] 100.0% ------------------------------------------------------------------------ for-loop [42] 10.2% run [13] 43.7% [50] 53152(97.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.7% run-improve58 [2] 27.8% loop [58] 18.3% simplify [3] 10.2% ------------------------------------------------------------------------ for-loop [46] 26.5% append-map [44] 34.9% loop [126] 38.7% [51] 8558(15.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [60] 100.0% ------------------------------------------------------------------------ one-iter [34] 15.3% loop [45] 84.7% [52] 5018(9.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [61] 29.0% match-e [59] 20.0% merge-egraph-nodes! [70] 19.5% update-leader! [82] 12.2% loop! [80] 10.6% substitute-e [65] 4.3% reduce-to-single! [64] 4.3% ------------------------------------------------------------------------ ??? [47] 100.0% [53] 1058(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [62] 100.0% ------------------------------------------------------------------------ for-loop [48] 100.0% [54] 404(0.7%) 404(0.7%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------ ??? [47] 100.0% [55] 220(0.4%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [63] 100.0% ------------------------------------------------------------------------ sort [49] 100.0% [56] 188(0.3%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [126] 100.0% ------------------------------------------------------------------------ for-loop [48] 100.0% [57] 164(0.3%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [66] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 2.0% ??? [50] 98.0% [58] 19490(35.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [68] 42.4% make-exacts* [76] 39.1% loop [77] 18.5% ------------------------------------------------------------------------ apply-match [52] 5.2% for-loop [78] 8.7% for-loop [43] 86.1% [59] 11496(21.1%) 6612(12.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [69] 28.0% for-loop [78] 13.8% ------------------------------------------------------------------------ taylor-alt [51] 100.0% [60] 8558(15.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [67] 100.0% ------------------------------------------------------------------------ apply-match [52] 100.0% [61] 1454(2.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [80] 58.0% merge-egraph-nodes! [70] 28.6% mk-enode! [72] 13.3% ------------------------------------------------------------------------ for-loop [53] 100.0% [62] 1058(1.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [71] 100.0% ------------------------------------------------------------------------ atab-pick-alt8 [55] 100.0% [63] 220(0.4%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [73] 100.0% ------------------------------------------------------------------------ apply-match [52] 100.0% [64] 218(0.4%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [74] 100.0% ------------------------------------------------------------------------ apply-match [52] 100.0% [65] 218(0.4%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [72] 100.0% ------------------------------------------------------------------------ argmin [57] 100.0% [66] 164(0.3%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [75] 100.0% ------------------------------------------------------------------------ loop [79] 4.1% for-loop [60] 37.7% location-do [67] 58.3% [67] 8558(15.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [67] 58.3% approximate9 [90] 32.3% loop [79] 9.4% ------------------------------------------------------------------------ loop [58] 100.0% [68] 8264(15.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [76] 47.7% loop [77] 47.0% eval-prog [121] 2.8% loop [87] 2.4% ------------------------------------------------------------------------ match-e [59] 100.0% [69] 3632(6.7%) 2220(4.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [78] 20.4% foldl [83] 10.7% list-cartesian-product [85] 8.0% filter [88] 5.6% ------------------------------------------------------------------------ merge-egraph-nodes! [70] 8.6% for-loop [61] 21.2% apply-match [52] 70.2% [70] 1394(2.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [82] 40.7% for-loop [84] 27.5% loop! [80] 23.1% merge-egraph-nodes! [70] 8.6% ------------------------------------------------------------------------ atab-add-altn [62] 100.0% [71] 1058(1.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [81] 100.0% ------------------------------------------------------------------------ for-loop [61] 47.1% substitute-e [65] 52.9% [72] 412(0.8%) 218(0.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [89] 47.1% ------------------------------------------------------------------------ ??? [63] 100.0% [73] 220(0.4%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [86] 100.0% ------------------------------------------------------------------------ reduce-to-single! [64] 100.0% [74] 218(0.4%) 218(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ------------------------------------------------------------------------ expression-cost [66] 100.0% [75] 164(0.3%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [104] 100.0% ------------------------------------------------------------------------ loop [68] 34.1% loop [58] 65.9% [76] 11574(21.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [126] 55.9% map [117] 42.1% eval-prog [121] 2.0% ------------------------------------------------------------------------ loop [58] 48.1% loop [68] 51.9% [77] 7482(13.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [117] 100.0% ------------------------------------------------------------------------ for-loop [69] 33.2% match-e [59] 66.8% [78] 3124(5.7%) 662(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [59] 61.0% ??? [92] 21.0% ------------------------------------------------------------------------ loop [79] 43.6% location-do [67] 56.4% [79] 1958(3.6%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 loop [79] 43.6% approximate9 [90] 29.8% location-do [67] 26.6% ------------------------------------------------------------------------ merge-egraph-nodes! [70] 18.8% loop [126] 23.2% apply-match [52] 23.7% for-loop [61] 34.3% [80] 1816(3.3%) 612(1.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [126] 34.3% custom-set-union [93] 33.3% set [95] 11.0% ------------------------------------------------------------------------ composed [119] 17.2% best-and-tied-at-points [71] 82.8% [81] 1278(2.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [91] 65.6% eval-prog [121] 34.4% ------------------------------------------------------------------------ merge-egraph-nodes! [70] 48.1% apply-match [52] 51.9% [82] 1182(2.2%) 168(0.3%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [94] 48.6% update-en-expr [97] 18.6% custom-set-union! [98] 18.6% ------------------------------------------------------------------------ for-loop [69] 100.0% [83] 388(0.7%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [96] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [70] 100.0% [84] 384(0.7%) 384(0.7%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------------ list-cartesian-product [85] 23.4% for-loop [69] 76.6% [85] 380(0.7%) 380(0.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [85] 23.4% ------------------------------------------------------------------------ best-alt [73] 100.0% [86] 220(0.4%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [119] 100.0% ------------------------------------------------------------------------ loop [68] 3.3% loop [87] 96.7% [87] 202(0.4%) 202(0.4%) loop /home/ztatlock/herbie/src/points.rkt:72:2 loop [87] 96.7% ------------------------------------------------------------------------ for-loop [69] 100.0% [88] 202(0.4%) 202(0.4%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------ mk-enode! [72] 100.0% [89] 194(0.4%) 194(0.4%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ------------------------------------------------------------------------ loop [79] 10.7% location-do [67] 89.3% [90] 8558(15.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [99] 71.9% f3 [112] 26.3% taylor-sqrt [145] 1.8% ------------------------------------------------------------------------ errors [81] 100.0% [91] 838(1.5%) 394(0.7%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [134] 53.0% ------------------------------------------------------------------------ for-loop [78] 100.0% [92] 656(1.2%) 440(0.8%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [102] 32.9% ------------------------------------------------------------------------ loop! [80] 100.0% [93] 604(1.1%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [101] 66.6% for-loop [103] 33.4% ------------------------------------------------------------------------ update-leader! [82] 100.0% [94] 574(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [100] 100.0% ------------------------------------------------------------------------ loop! [80] 100.0% [95] 400(0.7%) 400(0.7%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ foldl [83] 100.0% [96] 388(0.7%) 388(0.7%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------ update-leader! [82] 100.0% [97] 220(0.4%) 220(0.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ update-leader! [82] 100.0% [98] 220(0.4%) 220(0.4%) custom-set-union! ...t/private/set-types.rkt:246:0 ------------------------------------------------------------------------ approximate9 [90] 100.0% [99] 6150(11.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [104] 100.0% ------------------------------------------------------------------------ for-loop [94] 100.0% [100] 574(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [105] 100.0% ------------------------------------------------------------------------ custom-set-union [93] 100.0% [101] 402(0.7%) 162(0.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [106] 59.7% ------------------------------------------------------------------------ ??? [92] 100.0% [102] 216(0.4%) 216(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------ custom-set-union [93] 100.0% [103] 202(0.4%) 202(0.4%) for-loop ...cts/racket/private/set-types.rkt:152:2 ------------------------------------------------------------------------ for-loop [131] 0.2% compile [75] 0.3% for-loop [160] 0.4% for-loop [23] 0.8% ??? [109] 1.4% for-loop [30] 1.4% for-loop [20] 1.5% ??? [135] 1.8% f3 [112] 1.9% ??? [8] 2.2% taylor-sqrt [145] 2.3% loop [126] 3.2% eval-prog [121] 3.3% for-loop [19] 3.4% ??? [4] 3.9% first-nonzero-exp [155] 5.0% for-loop [18] 9.3% ??? [29] 11.8% loop [99] 14.1% ??? [108] 15.6% localize-error [37] 15.9% [104] 9810(18.0%) 524(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f3 [112] 20.1% ??? [108] 15.6% simplify [107] 15.5% ??? [7] 12.4% ??? [6] 9.3% ??? [4] 7.2% ??? [109] 5.6% ??? [8] 2.9% bigfloat-hash [110] 2.4% parse-loop12 [120] 2.3% taylor [144] 1.6% ??? [9] 1.5% ??? [10] 1.4% ??? [12] 0.2% ------------------------------------------------------------------------ for-loop [100] 100.0% [105] 574(1.1%) 218(0.4%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [111] 62.0% ------------------------------------------------------------------------ for-loop [101] 100.0% [106] 240(0.4%) 240(0.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------ loop [126] 2.3% taylor-sqrt [145] 4.5% for-loop [19] 5.2% taylor-invert [11] 6.0% hash-ref! [104] 81.9% [107] 7048(12.9%) 162(0.3%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f3 [112] 70.5% debug-print [153] 12.3% parse-loop12 [120] 5.5% simplify* [116] 3.1% simplify-node [136] 3.1% debug7 [154] 3.1% ------------------------------------------------------------------------ hash-ref! [104] 100.0% [108] 4852(8.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [104] 100.0% ------------------------------------------------------------------------ hash-ref! [104] 100.0% [109] 812(1.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [126] 79.8% hash-ref! [104] 20.2% ------------------------------------------------------------------------ hash-ref! [104] 100.0% [110] 644(1.2%) 182(0.3%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [114] 36.0% sig+exp->bigfloat [115] 35.7% ------------------------------------------------------------------------ hash-update! [105] 100.0% [111] 356(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [113] 100.0% ------------------------------------------------------------------------ for-loop [127] 0.6% loop [126] 1.0% simplify-node [136] 1.7% ??? [135] 2.1% append-map [44] 2.3% parse-loop12 [120] 5.3% f3 [112] 9.8% approximate9 [90] 12.3% map [117] 16.8% hash-ref! [104] 23.8% simplify [107] 24.4% [112] 9362(17.1%) 698(1.3%) f3 ...et/collects/racket/match/compiler.rkt:499:40 map [117] 49.8% for-loop [118] 16.6% f3 [112] 9.8% hash-ref! [104] 3.7% append-map [44] 3.7% taylor [144] 3.5% gather-multiplicative-terms [122] 2.1% taylor-invert [11] 1.7% composed [119] 1.7% taylor-sqrt [145] 1.5% loop [126] 0.4% parse-loop12 [120] 0.4% ------------------------------------------------------------------------ ??? [111] 100.0% [113] 356(0.7%) 356(0.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ------------------------------------------------------------------------ bigfloat-hash [110] 100.0% [114] 232(0.4%) 232(0.4%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------------ bigfloat-hash [110] 100.0% [115] 230(0.4%) 230(0.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------ simplify [107] 100.0% [116] 222(0.4%) 222(0.4%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 ------------------------------------------------------------------------ ??? [135] 0.3% parse-loop12 [120] 0.8% gather-multiplicative-terms [122] 0.8% make-exacts* [76] 26.0% f3 [112] 32.3% loop [77] 39.9% [117] 18774(34.4%) 176(0.3%) map ...acket/collects/racket/private/map.rkt:21:13 loop [126] 65.1% f3 [112] 11.5% parse-loop12 [120] 9.5% ??? [135] 7.6% simplify-node [136] 3.6% ??? [134] 1.1% gather-multiplicative-terms [122] 0.8% ->flonum [137] 0.3% make-multiplication-node [125] 0.2% taylor [144] 0.1% ??? [124] 0.1% ------------------------------------------------------------------------ f3 [112] 100.0% [118] 1556(2.8%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:31:37 eval-prog [121] 88.6% ??? [134] 11.4% ------------------------------------------------------------------------ loop [86] 36.7% f3 [112] 63.3% [119] 600(1.1%) 176(0.3%) composed ...ollects/racket/private/list.rkt:321:16 errors [81] 36.7% free-variables [123] 34.0% ------------------------------------------------------------------------ loop [126] 1.0% f3 [112] 4.3% for-loop [25] 4.6% hash-ref! [104] 8.9% simplify [107] 8.9% parse-loop12 [120] 12.1% append-map [44] 15.1% map [117] 45.1% [120] 4318(7.9%) 2260(4.1%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 f3 [112] 22.3% parse-loop12 [120] 12.1% loop [126] 12.1% for-loop [127] 8.5% for-loop [131] 4.6% map [117] 3.0% ------------------------------------------------------------------------ make-exacts* [76] 10.1% loop [68] 10.2% errors [81] 19.3% for-loop [118] 60.4% [121] 2280(4.2%) 1042(1.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [104] 36.4% go [128] 9.1% new-lambda [130] 8.8% ------------------------------------------------------------------------ map [117] 34.4% f3 [112] 65.6% [122] 558(1.0%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:107:0 curried [156] 47.7% map [117] 34.4% compose [129] 17.9% ------------------------------------------------------------------------ composed [119] 100.0% [123] 204(0.4%) 204(0.4%) free-variables ...ock/herbie/src/programs.rkt:89:0 ------------------------------------------------------------------------ map [117] 100.0% [124] 176(0.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [132] 100.0% ------------------------------------------------------------------------ map [117] 100.0% [125] 148(0.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [133]100.0% ------------------------------------------------------------------------ errors-score [56] 0.1% make-exacts* [76] 0.1% f3 [112] 0.5% parse-loop12 [120] 0.6% map [117] 1.1% loop! [80] 1.2% ??? [109] 1.7% extract-alt [31] 2.0% post-process [28] 3.2% append-map [44] 10.3% loop [126] 79.1% [126] 30012(55.0%) 1006(1.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [126] 79.1% taylor-alt [51] 10.3% simplify [3] 2.0% completely-simplify-alt [5] 1.9% hash-ref! [104] 1.5% localize-error [37] 1.3% ??? [134] 1.2% loop! [80] 1.0% simplify [107] 0.5% f3 [112] 0.3% parse-loop12 [120] 0.2% ??? [135] 0.1% for-loop [138] 0.0% bf* [151] 0.0% ->flonum [137] 0.0% ------------------------------------------------------------------------ parse-loop12 [120] 100.0% [127] 366(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 simplify-node [136] 52.5% f3 [112] 47.5% ------------------------------------------------------------------------ eval-prog [121] 100.0% [128] 208(0.4%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [139] 100.0% ------------------------------------------------------------------------ gather-multiplicative-terms [122]100.0% [129] 200(0.4%) 200(0.4%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------ eval-prog [121] 100.0% [130] 200(0.4%) 0(0.0%) new-lambda ...ollects/racket/private/kw.rkt:631:11 loop [140] 100.0% ------------------------------------------------------------------------ parse-loop12 [120] 100.0% [131] 198(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [104] 100.0% ------------------------------------------------------------------------ ??? [124] 100.0% [132] 176(0.3%) 0(0.0%) pattern-match .../herbie/src/core/matcher.rkt:47:0 for-loop [141] 100.0% ------------------------------------------------------------------------ make-multiplication-node [125] 100.0% [133] 148(0.3%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [142] 100.0% ------------------------------------------------------------------------ for-loop [118] 1.0% map [117] 1.1% for-loop [91] 2.4% loop [126] 95.5% [134] 18346(33.6%) 2258(4.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [143] 78.9% real->bigfloat [146] 5.9% ??? [167] 2.9% ------------------------------------------------------------------------ loop [126] 12.0% map [117] 88.0% [135] 1856(3.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f3 [112] 40.7% taylor-sqrt [145] 32.3% hash-ref! [104] 14.5% taylor [144] 8.0% map [117] 4.5% ------------------------------------------------------------------------ for-loop [127] 5.5% simplify [107] 12.5% map [117] 82.0% [136] 1754(3.2%) 624(1.1%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f3 [112] 25.9% append-map [44] 23.5% combine-aterms [149] 10.4% gather-additive-terms6 [150] 10.1% ------------------------------------------------------------------------ map [117] 16.0% loop [126] 84.0% [137] 1036(1.9%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [147] 84.0% ??? 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[134] 100.0% [143] 14474(26.5%) 400(0.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [161] 48.5% bf* [151] 24.4% ...higher-order.rkt:373:33 [152] 19.6% ...higher-order.rkt:369:33 [158] 1.6% ??? [157] 1.5% ------------------------------------------------------------------------ ??? [135] 11.1% map [117] 14.9% hash-ref! [104] 29.7% f3 [112] 44.3% [144] 1332(2.4%) 250(0.5%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [154] 36.6% debug-print [153] 31.2% curried [156] 13.4% ------------------------------------------------------------------------ approximate9 [90] 12.7% f3 [112] 39.2% ??? [135] 48.2% [145] 1246(2.3%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [104] 44.6% first-nonzero-exp [155] 29.7% simplify [107] 25.7% ------------------------------------------------------------------------ ??? [134] 100.0% [146] 1090(2.0%) 228(0.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [171] 79.1% ------------------------------------------------------------------------ ->flonum [137] 100.0% [147] 870(1.6%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [171] 100.0% ------------------------------------------------------------------------ for-loop [138] 100.0% [148] 378(0.7%) 176(0.3%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [159] 53.4% ------------------------------------------------------------------------ simplify-node [136] 100.0% [149] 182(0.3%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [160] 100.0% ------------------------------------------------------------------------ simplify-node [136] 100.0% [150] 178(0.3%) 178(0.3%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 ------------------------------------------------------------------------ loop [126] 5.0% ??? [143] 95.0% [151] 3714(6.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [161] 100.0% ------------------------------------------------------------------------ ??? [143] 100.0% [152] 2840(5.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [162] 82.6% ??? [167] 17.4% ------------------------------------------------------------------------ taylor [144] 32.3% simplify [107] 67.7% [153] 1286(2.4%) 162(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [163] 87.4% ------------------------------------------------------------------------ simplify [107] 19.4% iterate-egraph!5 [26] 37.2% taylor [144] 43.4% [154] 1124(2.1%) 602(1.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [164] 29.0% ??? [47] 17.4% ------------------------------------------------------------------------ taylor-sqrt [145] 41.1% taylor-invert [11] 58.9% [155] 900(1.6%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [104] 100.0% ------------------------------------------------------------------------ taylor [144] 33.2% gather-multiplicative-terms [122] 66.8% [156] 536(1.0%) 536(1.0%) curried ...cket/collects/racket/function.rkt:71:18 ------------------------------------------------------------------------ ->flonum [137] 42.8% ??? [143] 57.2% [157] 388(0.7%) 388(0.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ??? [143] 100.0% [158] 232(0.4%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [167] 100.0% ------------------------------------------------------------------------ eval-const-expr [148] 100.0% [159] 202(0.4%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [165] 100.0% ------------------------------------------------------------------------ combine-aterms [149] 100.0% [160] 182(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [104] 100.0% ------------------------------------------------------------------------ bf* [151] 34.6% ??? [143] 65.4% [161] 10728(19.6%) 932(1.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [166] 60.8% bfsqr [168] 16.0% ??? [170] 14.5% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [152] 100.0% [162] 2346(4.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [167] 100.0% ------------------------------------------------------------------------ debug-print [153] 100.0% [163] 1124(2.1%) 1124(2.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------ debug7 [154] 100.0% [164] 326(0.6%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [169] 100.0% ------------------------------------------------------------------------ inductor [165] 50.0% expression-induct31 [159] 50.0% [165] 202(0.4%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [165] 50.0% ??? [167] 50.0% ------------------------------------------------------------------------ ??? [161] 100.0% [166] 6526(12.0%) 4762(8.7%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [171] 27.0% ------------------------------------------------------------------------ inductor [165] 5.3% ...higher-order.rkt:369:33 [158] 6.1% ...higher-order.rkt:373:33 [152] 13.0% ??? [134] 13.8% ??? [162] 61.8% [167] 3798(7.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [170] 100.0% ------------------------------------------------------------------------ ??? [161] 100.0% [168] 1716(3.1%) 762(1.4%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [171] 55.6% ------------------------------------------------------------------------ ??? [164] 100.0% [169] 326(0.6%) 326(0.6%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ------------------------------------------------------------------------ ??? [161] 29.0% ??? [167] 71.0% [170] 5352(9.8%) 2320(4.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [172] 51.6% ??? [173] 5.1% ------------------------------------------------------------------------ real->bigfloat [146] 19.4% ??? [147] 19.6% bfsqr [168] 21.4% bfsub [166] 39.6% [171] 4450(8.2%) 4450(8.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [170] 100.0% [172] 2760(5.1%) 1586(2.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [174] 42.5% ------------------------------------------------------------------------ ??? [170] 100.0% [173] 272(0.5%) 272(0.5%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------------ ??? [172] 100.0% [174] 1174(2.2%) 1174(2.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------