Profiling results ----------------- Total cpu time observed: 104840ms (out of 106132ms) Number of samples taken: 449 (once every 233ms) (Hiding functions with self<1.0% and local<2.0%: 8 of 197 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [63] 100.0% [1] 101600(96.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [17] 100.0% -------------------------------------------------------------------------- ??? [63] 100.0% [2] 54362(51.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [18] 50.4% for-loop [23] 26.4% get-final-combination [24] 22.4% loop [79] 0.8% -------------------------------------------------------------------------- loop [115] 7.4% location-do [97] 92.6% [3] 22782(21.7%) 404(0.4%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [19] 90.9% f3 [65] 6.2% taylor-sqrt [92] 1.1% -------------------------------------------------------------------------- hash-ref! [153] 100.0% [4] 19334(18.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [33] 93.5% hash-ref! [153] 6.5% -------------------------------------------------------------------------- hash-ref! [153] 100.0% [5] 18912(18.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [20] 100.0% -------------------------------------------------------------------------- hash-ref! [153] 100.0% [6] 17878(17.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [21] 100.0% -------------------------------------------------------------------------- hash-ref! [153] 100.0% [7] 16134(15.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [22] 100.0% -------------------------------------------------------------------------- loop [139] 14.0% ??? [63] 86.0% [8] 13762(13.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [34] 37.6% simplify-expr [26] 37.2% for-loop [27] 23.6% loop [39] 1.6% -------------------------------------------------------------------------- hash-ref! [153] 100.0% [9] 9610(9.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [25] 100.0% -------------------------------------------------------------------------- hash-ref! [153] 100.0% [10] 5238(5.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [139] 87.6% hash-ref! [153] 12.4% -------------------------------------------------------------------------- copying-mergesort [98] 100.0% [11] 3142(3.0%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [128] 100.0% -------------------------------------------------------------------------- post-process [31] 6.4% loop [139] 93.6% [12] 2958(2.8%) 292(0.3%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [26] 90.1% -------------------------------------------------------------------------- hash-ref! [153] 100.0% [13] 972(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [29] 100.0% -------------------------------------------------------------------------- f3 [65] 100.0% [14] 940(0.9%) 180(0.2%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [28] 61.3% simplify [32] 19.6% -------------------------------------------------------------------------- hash-ref! [153] 100.0% [15] 830(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [153] 76.1% for-loop [30] 23.9% -------------------------------------------------------------------------- f3 [65] 36.4% hash-ref! [153] 63.6% [16] 604(0.6%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [28] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [17] 101600(96.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [63] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 27384(26.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [31] 100.0% -------------------------------------------------------------------------- approximate9 [3] 100.0% [19] 20718(19.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [153] 100.0% -------------------------------------------------------------------------- ??? [5] 100.0% [20] 18912(18.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [33] 74.9% hash-ref! [153] 23.8% simplify [32] 1.3% -------------------------------------------------------------------------- ??? [6] 100.0% [21] 17878(17.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [153] 99.7% simplify [32] 0.3% -------------------------------------------------------------------------- ??? [7] 100.0% [22] 16134(15.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [153] 98.5% simplify [32] 1.5% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [23] 14376(13.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [35] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [24] 12150(11.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [36] 84.2% extract-alt [38] 15.8% -------------------------------------------------------------------------- ??? [9] 100.0% [25] 9610(9.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [37] 100.0% -------------------------------------------------------------------------- completely-simplify-alt [12] 34.3% simplify [8] 65.7% [26] 7782(7.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [34] 88.4% loop [39] 11.6% -------------------------------------------------------------------------- simplify [8] 100.0% [27] 3254(3.1%) 202(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [34] 93.8% -------------------------------------------------------------------------- taylor-sqrt [92] 14.2% taylor-invert [14] 41.9% taylor-quotient [16] 43.9% [28] 1376(1.3%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [153] 100.0% -------------------------------------------------------------------------- ??? [13] 100.0% [29] 972(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [134] 100.0% -------------------------------------------------------------------------- ??? [15] 100.0% [30] 198(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [153] 100.0% -------------------------------------------------------------------------- finalize-table! [18] 100.0% [31] 27384(26.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [40] 81.7% loop [139] 14.1% localize-error [44] 2.6% ??? [56] 0.9% completely-simplify-alt [12] 0.7% -------------------------------------------------------------------------- loop [139] 0.9% taylor-invert [14] 0.9% for-loop [21] 0.9% taylor-sqrt [92] 1.1% for-loop [22] 1.1% for-loop [142] 1.8% for-loop [20] 2.7% hash-ref! [153] 90.6% [32] 21138(20.2%) 196(0.2%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f3 [65] 48.9% parse-loop12 [134] 41.1% debug-print [101] 6.5% make-multiplication-node [147] 1.0% simplify-node [45] 0.9% debug7 [50] 0.8% -------------------------------------------------------------------------- ??? [4] 24.1% for-loop [20] 75.9% [33] 18658(17.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [153] 100.0% -------------------------------------------------------------------------- for-loop [27] 20.2% simplify [8] 34.3% simplify-expr [26] 45.5% [34] 15106(14.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [41] 98.6% -------------------------------------------------------------------------- for-loop [23] 100.0% [35] 14376(13.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [42] 82.3% finalize-iter! [46] 8.8% localize-error [44] 4.6% gen-series! [48] 2.8% gen-rewrites! [49] 1.5% -------------------------------------------------------------------------- get-final-combination [24] 100.0% [36] 10226(9.8%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [43] 88.2% ??? [56] 11.8% -------------------------------------------------------------------------- for-loop [25] 100.0% [37] 9610(9.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [153] 100.0% -------------------------------------------------------------------------- get-final-combination [24] 100.0% [38] 1924(1.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [139] 100.0% -------------------------------------------------------------------------- simplify [8] 19.5% simplify-expr [26] 80.5% [39] 1120(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [47] 100.0% -------------------------------------------------------------------------- post-process [31] 100.0% [40] 22386(21.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [51] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [34] 100.0% [41] 14902(14.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [53] 60.8% loop [55] 32.4% apply-match [67] 6.8% -------------------------------------------------------------------------- run-iter! [35] 100.0% [42] 11838(11.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [52] 100.0% -------------------------------------------------------------------------- split-table [36] 100.0% [43] 9018(8.6%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [54] 90.8% loop [139] 9.2% -------------------------------------------------------------------------- run-iter! [35] 26.8% post-process [31] 29.1% loop [139] 44.1% [44] 2456(2.3%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [153] 91.1% sort [82] 8.9% -------------------------------------------------------------------------- simplify [32] 10.7% parse-loop12 [134] 13.1% map [127] 76.2% [45] 1696(1.6%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 combine-aterms [58] 44.9% f3 [65] 33.4% gather-additive-terms6 [61] 11.1% append-map [51] 10.6% -------------------------------------------------------------------------- run-iter! [35] 100.0% [46] 1262(1.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [56] 100.0% -------------------------------------------------------------------------- loop [39] 100.0% [47] 1120(1.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [57] 100.0% -------------------------------------------------------------------------- run-iter! [35] 100.0% [48] 396(0.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [59] 100.0% -------------------------------------------------------------------------- run-iter! [35] 100.0% [49] 222(0.2%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [60] 100.0% -------------------------------------------------------------------------- simplify [32] 100.0% [50] 178(0.2%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [62] 100.0% -------------------------------------------------------------------------- simplify-node [45] 0.1% f3 [65] 2.9% for-loop [40] 97.0% [51] 22386(21.4%) 184(0.2%) append-map ...acket/collects/racket/list.rkt:565:2 loop [139] 78.2% taylor-alt [64] 18.7% parse-loop12 [134] 1.3% f3 [65] 1.2% -------------------------------------------------------------------------- simplify! [42] 100.0% [52] 11838(11.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [63] 100.0% -------------------------------------------------------------------------- for-loop [53] 48.8% one-iter [41] 51.2% [53] 9058(8.6%) 2044(1.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [53] 48.8% match-e [81] 37.5% ??? [131] 1.2% -------------------------------------------------------------------------- loop [139] 9.2% infer-splitpoints4 [43] 90.8% [54] 9018(8.6%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [66] 83.1% err-lsts->split-indices [70] 9.9% pick-errors [71] 7.1% -------------------------------------------------------------------------- one-iter [41] 100.0% [55] 4828(4.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [67] 100.0% -------------------------------------------------------------------------- post-process [31] 8.9% split-table [36] 44.5% finalize-iter! [46] 46.5% [56] 2712(2.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [68] 46.5% split-atab [69] 44.5% atab-add-altns [75] 8.9% -------------------------------------------------------------------------- pass [47] 100.0% [57] 1120(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [73] 42.1% argmin [74] 38.9% loop [77] 18.9% -------------------------------------------------------------------------- simplify-node [45] 100.0% [58] 762(0.7%) 222(0.2%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [72] 70.9% -------------------------------------------------------------------------- gen-series! [48] 100.0% [59] 396(0.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [64] 100.0% -------------------------------------------------------------------------- gen-rewrites! [49] 100.0% [60] 222(0.2%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [76] 100.0% -------------------------------------------------------------------------- simplify-node [45] 100.0% [61] 188(0.2%) 0(0.0%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 constant? [78] 100.0% -------------------------------------------------------------------------- debug7 [50] 100.0% [62] 178(0.2%) 178(0.2%) ??? ...racket/collects/racket/private/kw.rkt:713:9 -------------------------------------------------------------------------- for-loop [52] 3.9% run [17] 47.5% [63] 103002(98.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.5% run-improve58 [2] 24.9% loop [79] 23.7% simplify [8] 3.9% -------------------------------------------------------------------------- for-loop [59] 1.7% append-map [51] 18.4% loop [139] 79.9% [64] 22782(21.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [80] 100.0% -------------------------------------------------------------------------- simplify-node [45] 0.8% append-map [51] 0.9% loop [139] 2.4% approximate9 [3] 4.4% parse-loop12 [134] 6.0% f3 [65] 6.1% hash-ref! [153] 17.1% map [127] 26.4% simplify [32] 34.4% [65] 14984(14.3%) 2616(2.5%) f3 ...et/collects/racket/match/compiler.rkt:499:40 map [127] 56.5% for-loop [84] 13.3% f3 [65] 6.1% combine-mterms [91] 2.2% taylor [88] 2.1% append-map [51] 2.0% parse-app [140] 1.6% hash-ref! [153] 1.6% taylor-invert [14] 1.2% gather-multiplicative-terms [137] 1.0% taylor-quotient [16] 0.7% taylor-sqrt [92] 0.4% compose [175] 0.1% parse-loop12 [134] 0.1% -------------------------------------------------------------------------- option-on-expr [54] 100.0% [66] 7490(7.1%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [82] 100.0% -------------------------------------------------------------------------- one-iter [41] 17.4% loop [55] 82.6% [67] 5844(5.6%) 200(0.2%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [81] 36.0% merge-egraph-nodes! [83] 34.9% update-leader! [100] 10.5% for-loop [93] 6.9% mk-enode! [106] 4.1% substitute-e [94] 4.1% -------------------------------------------------------------------------- ??? [56] 100.0% [68] 1262(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [85] 100.0% -------------------------------------------------------------------------- ??? [56] 100.0% [69] 1208(1.2%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [86] 100.0% -------------------------------------------------------------------------- option-on-expr [54] 100.0% [70] 892(0.9%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [87] 100.0% -------------------------------------------------------------------------- option-on-expr [54] 100.0% [71] 636(0.6%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [90] 100.0% -------------------------------------------------------------------------- combine-aterms [58] 100.0% [72] 540(0.5%) 358(0.3%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [153] 33.7% -------------------------------------------------------------------------- for-loop [57] 100.0% [73] 472(0.5%) 472(0.5%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [57] 100.0% [74] 436(0.4%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [89] 100.0% -------------------------------------------------------------------------- ??? [56] 100.0% [75] 242(0.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [85] 100.0% -------------------------------------------------------------------------- for-loop [60] 100.0% [76] 222(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [95] 100.0% -------------------------------------------------------------------------- for-loop [57] 100.0% [77] 212(0.2%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [89] 100.0% -------------------------------------------------------------------------- gather-additive-terms6 [61] 100.0% [78] 188(0.2%) 188(0.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- run-improve58 [2] 0.9% ??? [63] 99.1% [79] 49092(46.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [96] 52.6% make-exacts* [112] 33.6% loop [113] 13.8% -------------------------------------------------------------------------- taylor-alt [64] 100.0% [80] 22782(21.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [97] 100.0% -------------------------------------------------------------------------- for-loop [116] 9.9% apply-match [67] 21.2% for-loop [53] 68.9% [81] 8908(8.5%) 4060(3.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [99] 48.2% for-loop [116] 5.6% list-cartesian-product [120] 2.2% loop [139] 2.2% -------------------------------------------------------------------------- localize-error [44] 2.8% sort-context-on-expr [66] 97.2% [82] 7708(7.4%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [98] 72.8% loop [114] 24.3% errors-score [109] 2.8% -------------------------------------------------------------------------- for-loop [110] 3.3% merge-egraph-nodes! [83] 13.6% apply-match [67] 83.1% [83] 2038(1.9%) 200(0.2%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [100] 58.4% merge-egraph-nodes! [83] 13.6% enode-merge! [111] 9.5% loop! [146] 5.4% for-loop [110] 3.3% -------------------------------------------------------------------------- f3 [65] 100.0% [84] 2000(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:31:37 eval-prog [135] 68.8% ??? [144] 31.2% -------------------------------------------------------------------------- atab-add-altns [75] 16.1% for-loop [68] 83.9% [85] 1504(1.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [102] 100.0% -------------------------------------------------------------------------- split-atab [69] 100.0% [86] 1208(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [103] 100.0% -------------------------------------------------------------------------- err-lsts->split-indices [70] 100.0% [87] 892(0.9%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [104] 100.0% -------------------------------------------------------------------------- f3 [65] 100.0% [88] 662(0.6%) 240(0.2%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [101] 36.0% loop [139] 27.8% -------------------------------------------------------------------------- loop [77] 32.7% argmin [74] 67.3% [89] 648(0.6%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [105] 100.0% -------------------------------------------------------------------------- pick-errors [71] 100.0% [90] 636(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [135] 66.0% ??? [144] 34.0% -------------------------------------------------------------------------- f3 [65] 100.0% [91] 596(0.6%) 220(0.2%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [107] 63.1% -------------------------------------------------------------------------- f3 [65] 45.0% approximate9 [3] 55.0% [92] 436(0.4%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [32] 55.0% first-nonzero-exp [28] 45.0% -------------------------------------------------------------------------- apply-match [67] 100.0% [93] 402(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [146] 100.0% -------------------------------------------------------------------------- apply-match [67] 100.0% [94] 240(0.2%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [106] 100.0% -------------------------------------------------------------------------- ??? [76] 16.7% matcher [124] 83.3% [95] 222(0.2%) 222(0.2%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [108] 83.3% -------------------------------------------------------------------------- loop [79] 100.0% [96] 25836(24.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [112] 49.9% loop [113] 40.7% eval-prog [135] 9.4% -------------------------------------------------------------------------- loop [115] 1.8% for-loop [80] 45.9% location-do [97] 52.4% [97] 22782(21.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [97] 52.4% approximate9 [3] 42.2% loop [115] 5.5% -------------------------------------------------------------------------- sort [82] 44.7% copying-mergesort [98] 55.3% [98] 5614(5.4%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [98] 55.3% loop [114] 30.7% jloop [11] 14.0% -------------------------------------------------------------------------- match-e [81] 100.0% [99] 4648(4.4%) 2826(2.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [116] 22.4% list-cartesian-product [120] 12.9% loop [139] 4.3% curried [125] 4.3% -------------------------------------------------------------------------- apply-match [67] 30.2% merge-egraph-nodes! [83] 69.8% [100] 2040(1.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [117] 100.0% -------------------------------------------------------------------------- taylor [88] 14.9% simplify [32] 85.1% [101] 1602(1.5%) 806(0.8%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [121] 49.7% -------------------------------------------------------------------------- atab-add-altn [85] 100.0% [102] 1504(1.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [118] 73.3% for-loop [123] 26.7% -------------------------------------------------------------------------- for-loop [86] 100.0% [103] 1208(1.2%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [119] 83.3% filter [126] 16.7% -------------------------------------------------------------------------- add-splitpoint [87] 100.0% [104] 892(0.9%) 222(0.2%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 for-loop [122] 75.1% -------------------------------------------------------------------------- expression-cost [89] 100.0% [105] 648(0.6%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [153] 100.0% -------------------------------------------------------------------------- substitute-e [94] 49.8% apply-match [67] 50.2% [106] 482(0.5%) 482(0.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 -------------------------------------------------------------------------- combine-mterms [91] 100.0% [107] 376(0.4%) 184(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [153] 51.1% -------------------------------------------------------------------------- rewriter [95] 100.0% [108] 222(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [124] 100.0% -------------------------------------------------------------------------- sort [82] 100.0% [109] 218(0.2%) 218(0.2%) errors-score ...atlock/herbie/src/points.rkt:154:0 -------------------------------------------------------------------------- merge-egraph-nodes! [83] 100.0% [110] 200(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [83] 100.0% -------------------------------------------------------------------------- merge-egraph-nodes! [83] 100.0% [111] 194(0.2%) 194(0.2%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 -------------------------------------------------------------------------- loop [96] 43.9% loop [79] 56.1% [112] 29368(28.0%) 208(0.2%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [127] 52.6% loop [139] 44.4% eval-prog [135] 2.3% -------------------------------------------------------------------------- loop [79] 39.2% loop [96] 60.8% [113] 17294(16.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [127] 100.0% -------------------------------------------------------------------------- sort [82] 43.1% copying-mergesort [98] 56.9% [114] 4348(4.1%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [128] 100.0% -------------------------------------------------------------------------- loop [115] 31.9% location-do [97] 68.1% [115] 3140(3.0%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [3] 45.0% loop [115] 31.9% location-do [97] 23.1% -------------------------------------------------------------------------- match-e [81] 45.3% for-loop [99] 54.7% [116] 2120(2.0%) 398(0.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [81] 75.6% ??? [131] 10.4% -------------------------------------------------------------------------- update-leader! [100] 100.0% [117] 2040(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [129] 90.2% update-en-expr [157] 9.8% -------------------------------------------------------------------------- best-and-tied-at-points [102] 100.0% [118] 1102(1.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [135] 82.0% for-loop [133] 18.0% -------------------------------------------------------------------------- for-loop [103] 100.0% [119] 1006(1.0%) 0(0.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [130] 100.0% -------------------------------------------------------------------------- list-cartesian-product [120] 12.5% match-e [81] 25.0% for-loop [99] 62.5% [120] 800(0.8%) 800(0.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [120] 12.5% -------------------------------------------------------------------------- debug-print [101] 100.0% [121] 796(0.8%) 796(0.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- for-loop [104] 100.0% [122] 670(0.6%) 670(0.6%) for-loop ...lock/herbie/src/core/regimes.rkt:243:8 -------------------------------------------------------------------------- best-and-tied-at-points [102] 100.0% [123] 402(0.4%) 402(0.4%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 -------------------------------------------------------------------------- for-loop [132] 10.0% matcher [124] 40.0% for-loop [108] 50.0% [124] 222(0.2%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 rewriter [95] 50.0% matcher [124] 40.0% for-loop [132] 10.0% -------------------------------------------------------------------------- for-loop [99] 100.0% [125] 202(0.2%) 202(0.2%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- for-loop [103] 100.0% [126] 202(0.2%) 0(0.0%) filter ...t/collects/racket/private/list.rkt:256:2 ??? [130] 100.0% -------------------------------------------------------------------------- gather-multiplicative-terms [137] 0.3% parse-loop12 [134] 6.8% f3 [65] 20.7% make-exacts* [112] 34.1% loop [113] 38.2% [127] 45312(43.2%) 202(0.2%) map ...acket/collects/racket/private/map.rkt:21:13 loop [139] 74.2% parse-loop12 [134] 11.5% f3 [65] 10.6% ??? [144] 1.5% simplify-node [45] 0.8% gather-multiplicative-terms [137] 0.3% ??? [143] 0.0% -------------------------------------------------------------------------- jloop [11] 41.9% loop [114] 58.1% [128] 7490(7.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [135] 100.0% -------------------------------------------------------------------------- for-loop [117] 100.0% [129] 1840(1.8%) 200(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [136] 89.1% -------------------------------------------------------------------------- filter [126] 16.7% loop [119] 83.3% [130] 1208(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/regimes.rkt:291:8 eval-prog [135] 100.0% -------------------------------------------------------------------------- for-loop [53] 49.1% for-loop [116] 50.9% [131] 432(0.4%) 220(0.2%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [138] 49.1% -------------------------------------------------------------------------- matcher [124] 100.0% [132] 222(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [124] 100.0% -------------------------------------------------------------------------- errors [118] 100.0% [133] 198(0.2%) 198(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 -------------------------------------------------------------------------- f3 [65] 1.0% hash-ref! [153] 1.4% append-map [51] 2.2% for-loop [29] 5.6% loop [139] 7.6% simplify [32] 19.1% parse-loop12 [134] 28.9% map [127] 34.2% [134] 17388(16.6%) 11202(10.7%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [134] 28.9% map [127] 10.9% loop [139] 10.7% f3 [65] 5.8% parse-app [140] 5.2% for-loop [142] 4.6% ??? [143] 0.7% make-multiplication-node [147] 0.5% simplify-node [45] 0.3% -------------------------------------------------------------------------- for-loop [90] 2.9% make-exacts* [112] 4.7% errors [118] 6.2% ??? [130] 8.3% for-loop [84] 9.5% loop [96] 16.7% ??? [128] 51.6% [135] 14512(13.8%) 9720(9.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [153] 31.6% -------------------------------------------------------------------------- for-loop [129] 100.0% [136] 1640(1.6%) 200(0.2%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [141] 87.8% -------------------------------------------------------------------------- gather-multiplicative-terms [137] 17.0% map [127] 39.9% f3 [65] 43.1% [137] 784(0.7%) 784(0.7%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [127] 39.9% gather-multiplicative-terms [137] 17.0% -------------------------------------------------------------------------- ??? [131] 100.0% [138] 212(0.2%) 212(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- make-exacts* [112] 0.1% match-e [81] 0.1% taylor [88] 0.2% for-loop [99] 0.3% loop! [146] 0.4% infer-splitpoints4 [43] 1.1% extract-alt [38] 1.3% post-process [31] 1.4% map [127] 2.0% parse-loop12 [134] 2.2% ??? [10] 4.9% append-map [51] 18.3% loop [139] 67.7% [139] 75954(72.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [139] 67.7% taylor-alt [64] 18.3% hash-ref! [153] 4.9% parse-loop12 [134] 2.3% simplify [8] 1.3% option-on-expr [54] 1.1% ??? [144] 1.1% localize-error [44] 1.0% f3 [65] 0.4% foldl [149] 0.4% completely-simplify-alt [12] 0.4% loop! [146] 0.4% simplify [32] 0.2% make-multiplication-node [147] 0.1% for-loop [151] 0.1% -------------------------------------------------------------------------- f3 [65] 14.3% parse-loop12 [134] 85.7% [140] 1682(1.6%) 1272(1.2%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [148] 24.4% -------------------------------------------------------------------------- hash-update! [136] 100.0% [141] 1440(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [145] 100.0% -------------------------------------------------------------------------- parse-loop12 [134] 100.0% [142] 792(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [153] 52.3% simplify [32] 47.7% -------------------------------------------------------------------------- map [127] 33.1% parse-loop12 [134] 66.9% [143] 604(0.6%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [155] 65.9% for-loop [150] 34.1% -------------------------------------------------------------------------- for-loop [90] 0.5% for-loop [84] 1.3% map [127] 1.5% loop [139] 96.7% [144] 46864(44.7%) 626(0.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [152] 91.3% real->bigfloat [154] 6.4% ??? [183] 1.0% -------------------------------------------------------------------------- ??? [141] 100.0% [145] 1440(1.4%) 1440(1.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 -------------------------------------------------------------------------- merge-egraph-nodes! [83] 17.7% loop [139] 33.9% for-loop [93] 48.4% [146] 622(0.6%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [139] 33.9% custom-set-union [161] 32.2% update-en-expr [157] 17.7% set [160] 16.2% -------------------------------------------------------------------------- parse-loop12 [134] 32.3% loop [139] 32.3% simplify [32] 35.4% [147] 570(0.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [156]100.0% -------------------------------------------------------------------------- parse-app [140] 100.0% [148] 410(0.4%) 410(0.4%) loop .../collects/racket/private/stxcase.rkt:112:7 -------------------------------------------------------------------------- loop [139] 100.0% [149] 402(0.4%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [158] 100.0% -------------------------------------------------------------------------- ??? [143] 100.0% [150] 206(0.2%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [155] 100.0% -------------------------------------------------------------------------- loop [139] 100.0% [151] 204(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [159] 100.0% -------------------------------------------------------------------------- ??? [144] 100.0% [152] 42788(40.8%) 1190(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [178] 39.9% bf* [172] 30.2% ...higher-order.rkt:373:33 [163] 18.5% bffma [165] 2.7% bf>= [166] 2.7% ...higher-order.rkt:369:33 [167] 2.6% ...ow-val-first.rkt:357:18 [176] 0.5% -------------------------------------------------------------------------- for-loop [72] 0.1% for-loop [142] 0.1% for-loop [107] 0.1% for-loop [30] 0.1% f3 [65] 0.2% ??? [15] 0.4% ??? [4] 0.8% compile [105] 0.8% ??? [10] 1.4% first-nonzero-exp [28] 1.6% for-loop [37] 2.4% for-loop [22] 4.4% eval-prog [135] 4.6% ??? [162] 5.2% for-loop [20] 5.4% localize-error [44] 7.2% loop [19] 7.7% loop [139] 11.5% for-loop [21] 13.6% ??? [33] 31.9% [153] 28610(27.3%) 1022(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [5] 32.0% ??? [6] 13.6% ??? [10] 12.9% f3 [65] 8.1% simplify [32] 7.4% ??? [4] 6.5% ??? [162] 5.2% bigfloat-hash [164] 4.6% ??? [7] 4.5% ??? [9] 2.4% ??? [15] 0.6% parse-loop12 [134] 0.4% taylor-quotient [16] 0.3% ??? [168] 0.2% ??? [13] 0.2% -------------------------------------------------------------------------- ??? [144] 100.0% [154] 3000(2.9%) 2758(2.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [186] 8.1% -------------------------------------------------------------------------- for-loop [150] 34.1% ??? [143] 65.9% [155] 604(0.6%) 406(0.4%) pattern-match .../herbie/src/core/matcher.rkt:47:0 for-loop [170] 32.8% -------------------------------------------------------------------------- make-multiplication-node [147] 100.0% [156] 570(0.5%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [169] 35.4% compose [175] 32.3% for-loop [171] 32.3% -------------------------------------------------------------------------- for-loop [117] 47.6% loop! [146] 52.4% [157] 420(0.4%) 420(0.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- foldl [149] 100.0% [158] 402(0.4%) 402(0.4%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- for-loop [151] 100.0% [159] 204(0.2%) 204(0.2%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 -------------------------------------------------------------------------- loop! [146] 100.0% [160] 202(0.2%) 202(0.2%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- loop! [146] 100.0% [161] 200(0.2%) 200(0.2%) custom-set-union ...et/private/set-types.rkt:168:0 -------------------------------------------------------------------------- hash-ref! [153] 100.0% [162] 7980(7.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [153] 100.0% -------------------------------------------------------------------------- ??? [152] 100.0% [163] 7902(7.5%) 470(0.4%) ...higher-order.rkt:373:33 (unknown source) ??? [179] 80.9% ??? [183] 13.2% -------------------------------------------------------------------------- hash-ref! [153] 100.0% [164] 4590(4.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [173] 79.9% sig+exp->bigfloat [174] 20.1% -------------------------------------------------------------------------- ??? [152] 100.0% [165] 1170(1.1%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [172] 81.2% ...ow-val-first.rkt:357:18 [176] 18.8% -------------------------------------------------------------------------- ??? [152] 100.0% [166] 1162(1.1%) 0(0.0%) bf>= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [185] 100.0% -------------------------------------------------------------------------- ??? [152] 100.0% [167] 1120(1.1%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [179] 82.3% ??? [183] 17.7% -------------------------------------------------------------------------- hash-ref! [153] 100.0% [168] 238(0.2%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 repeat [177] 100.0% -------------------------------------------------------------------------- make-multiplication-subnode [156]100.0% [169] 202(0.2%) 202(0.2%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------- pattern-match [155] 100.0% [170] 198(0.2%) 198(0.2%) for-loop ...tlock/herbie/src/core/matcher.rkt:65:9 -------------------------------------------------------------------------- make-multiplication-subnode [156]100.0% [171] 184(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 compose [175] 100.0% -------------------------------------------------------------------------- bffma [165] 6.8% ??? [152] 93.2% [172] 13888(13.2%) 2188(2.1%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [178] 84.2% -------------------------------------------------------------------------- bigfloat-hash [164] 100.0% [173] 3666(3.5%) 3666(3.5%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- bigfloat-hash [164] 100.0% [174] 924(0.9%) 720(0.7%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [181] 22.1% -------------------------------------------------------------------------- for-loop [171] 32.7% make-multiplication-subnode [156] 32.7% f3 [65] 34.5% [175] 562(0.5%) 562(0.5%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- ??? [152] 49.8% bffma [165] 50.2% [176] 438(0.4%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [179] 100.0% -------------------------------------------------------------------------- ??? [168] 100.0% [177] 238(0.2%) 0(0.0%) repeat ...atlock/herbie/src/core/localize.rkt:13:0 for-loop [180] 100.0% -------------------------------------------------------------------------- bf* [172] 40.6% ??? [152] 59.4% [178] 28788(27.5%) 2366(2.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [182] 63.5% ??? [185] 18.7% bfsqrt [184] 9.5% -------------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [176] 5.7% ...higher-order.rkt:369:33 [167] 11.9% ...higher-order.rkt:373:33 [163] 82.5% [179] 7750(7.4%) 458(0.4%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [183] 94.1% -------------------------------------------------------------------------- repeat [177] 100.0% [180] 238(0.2%) 238(0.2%) for-loop ...lock/herbie/src/core/localize.rkt:14:2 -------------------------------------------------------------------------- sig+exp->bigfloat [174] 100.0% [181] 204(0.2%) 204(0.2%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 -------------------------------------------------------------------------- ??? [178] 100.0% [182] 18284(17.4%) 13606(13.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [186] 25.6% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [167] 2.2% ??? [144] 5.0% ...higher-order.rkt:373:33 [163] 11.6% ??? [179] 81.2% [183] 8982(8.6%) 218(0.2%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [185] 97.6% -------------------------------------------------------------------------- ??? [178] 100.0% [184] 2742(2.6%) 1772(1.7%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [186] 35.4% -------------------------------------------------------------------------- bf>= [166] 7.6% ??? [178] 35.2% ??? [183] 57.2% [185] 15322(14.6%) 6880(6.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [187] 51.7% ??? [188] 3.4% -------------------------------------------------------------------------- real->bigfloat [154] 4.1% bfsqrt [184] 16.5% bfadd [182] 79.4% [186] 5890(5.6%) 5890(5.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [185] 100.0% [187] 7926(7.6%) 5018(4.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [189] 36.7% -------------------------------------------------------------------------- ??? [185] 100.0% [188] 516(0.5%) 516(0.5%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -------------------------------------------------------------------------- ??? [187] 100.0% [189] 2908(2.8%) 2908(2.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------