Profiling results ----------------- Total cpu time observed: 105436ms (out of 107064ms) Number of samples taken: 457 (once every 231ms) (Hiding functions with self<1.0% and local<2.0%: 11 of 195 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [68] 100.0% [1] 102224(97.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [17] 100.0% -------------------------------------------------------------------------- ??? [68] 100.0% [2] 54758(51.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [18] 52.9% for-loop [23] 25.0% get-final-combination [24] 20.9% loop [83] 0.7% errors [112] 0.4% -------------------------------------------------------------------------- loop [111] 9.4% location-do [97] 90.6% [3] 22006(20.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [19] 94.4% f3 [70] 3.8% taylor-sqrt [126] 0.9% taylor [28] 0.9% -------------------------------------------------------------------------- hash-ref! [150] 100.0% [4] 19090(18.1%) 196(0.2%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [35] 92.0% hash-ref! [150] 7.0% -------------------------------------------------------------------------- hash-ref! [150] 100.0% [5] 18932(18.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [20] 100.0% -------------------------------------------------------------------------- hash-ref! [150] 100.0% [6] 17656(16.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [21] 100.0% -------------------------------------------------------------------------- hash-ref! [150] 100.0% [7] 15254(14.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [22] 100.0% -------------------------------------------------------------------------- loop [124] 11.3% ??? [68] 88.7% [8] 12962(12.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [25] 46.2% iterate-egraph!5 [36] 36.0% for-loop [27] 14.3% loop [41] 3.5% -------------------------------------------------------------------------- hash-ref! [150] 100.0% [9] 9668(9.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [26] 100.0% -------------------------------------------------------------------------- hash-ref! [150] 100.0% [10] 5964(5.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [124] 96.6% hash-ref! [150] 3.4% -------------------------------------------------------------------------- loop [124] 100.0% [11] 4330(4.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [25] 100.0% -------------------------------------------------------------------------- sort [86] 6.9% copying-mergesort [98] 93.1% [12] 3448(3.3%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [118] 93.1% errors-score [31] 6.9% -------------------------------------------------------------------------- f3 [70] 100.0% [13] 600(0.6%) 0(0.0%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [29] 100.0% -------------------------------------------------------------------------- hash-ref! [150] 100.0% [14] 420(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [30] 100.0% -------------------------------------------------------------------------- hash-ref! [150] 100.0% [15] 376(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [32] 50.0% hash-ref! [150] 50.0% -------------------------------------------------------------------------- f3 [70] 100.0% [16] 220(0.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [134] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [17] 102224(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [68] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 28962(27.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [33] 100.0% -------------------------------------------------------------------------- approximate9 [3] 100.0% [19] 20772(19.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [150] 100.0% -------------------------------------------------------------------------- ??? [5] 100.0% [20] 18932(18.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [35] 76.9% hash-ref! [150] 18.9% simplify [34] 4.2% -------------------------------------------------------------------------- ??? [6] 100.0% [21] 17656(16.7%) 188(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [150] 98.5% simplify [34] 0.4% -------------------------------------------------------------------------- ??? [7] 100.0% [22] 15254(14.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [150] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [23] 13702(13.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [37] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [24] 11462(10.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [38] 87.3% extract-alt [40] 12.7% -------------------------------------------------------------------------- completely-simplify-alt [11] 42.0% simplify [8] 58.0% [25] 10312(9.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [36] 94.1% loop [41] 5.9% -------------------------------------------------------------------------- ??? [9] 100.0% [26] 9668(9.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [39] 100.0% -------------------------------------------------------------------------- simplify [8] 100.0% [27] 1850(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [36] 100.0% -------------------------------------------------------------------------- approximate9 [3] 33.7% f3 [70] 66.3% [28] 600(0.6%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [124] 66.3% debug-print [48] 33.7% -------------------------------------------------------------------------- combine-mterms [13] 100.0% [29] 600(0.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [150] 100.0% -------------------------------------------------------------------------- ??? [14] 100.0% [30] 420(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [131] 100.0% -------------------------------------------------------------------------- jloop [12] 100.0% [31] 238(0.2%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [124] 100.0% -------------------------------------------------------------------------- ??? [15] 100.0% [32] 188(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [150] 100.0% -------------------------------------------------------------------------- finalize-table! [18] 100.0% [33] 28962(27.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [42] 74.5% loop [124] 21.9% ??? [59] 2.1% localize-error [46] 1.5% -------------------------------------------------------------------------- taylor-sqrt [126] 1.0% for-loop [21] 1.0% loop [124] 1.9% for-loop [20] 5.6% hash-ref! [150] 89.6% [34] 21420(20.3%) 422(0.4%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f3 [70] 47.8% parse-loop12 [131] 35.6% debug-print [48] 5.8% debug7 [51] 4.8% simplify-node [47] 4.0% -------------------------------------------------------------------------- first-nonzero-exp [134] 2.3% ??? [4] 19.6% for-loop [20] 78.1% [35] 18780(17.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [150] 100.0% -------------------------------------------------------------------------- for-loop [27] 11.4% simplify [8] 28.8% simplify-expr [25] 59.8% [36] 16228(15.4%) 410(0.4%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [43] 96.1% -------------------------------------------------------------------------- for-loop [23] 100.0% [37] 13702(13.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [44] 83.9% finalize-iter! [49] 7.9% localize-error [46] 3.4% gen-series! [52] 3.2% choose-best-alt! [53] 1.6% -------------------------------------------------------------------------- get-final-combination [24] 100.0% [38] 10002(9.5%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [45] 87.5% ??? [59] 12.5% -------------------------------------------------------------------------- for-loop [26] 100.0% [39] 9668(9.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [150] 100.0% -------------------------------------------------------------------------- get-final-combination [24] 100.0% [40] 1460(1.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [124] 100.0% -------------------------------------------------------------------------- simplify [8] 43.2% simplify-expr [25] 56.8% [41] 1064(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [50] 100.0% -------------------------------------------------------------------------- post-process [33] 100.0% [42] 21564(20.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [54] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [36] 100.0% [43] 15602(14.8%) 624(0.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [56] 61.9% loop [58] 30.3% apply-match [72] 2.6% loop [114] 1.3% -------------------------------------------------------------------------- run-iter! [37] 100.0% [44] 11502(10.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [55] 100.0% -------------------------------------------------------------------------- split-table [38] 100.0% [45] 8752(8.3%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [57] 90.8% loop [124] 9.2% -------------------------------------------------------------------------- post-process [33] 15.1% run-iter! [37] 15.7% loop [124] 69.2% [46] 2928(2.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [150] 91.9% sort [86] 8.1% -------------------------------------------------------------------------- simplify [34] 38.4% map [117] 61.6% [47] 2242(2.1%) 218(0.2%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 combine-aterms [61] 36.8% f3 [70] 36.7% append-map [54] 8.9% gather-additive-terms6 [67] 7.9% -------------------------------------------------------------------------- taylor [28] 14.0% simplify [34] 86.0% [48] 1438(1.4%) 572(0.5%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [60] 60.2% -------------------------------------------------------------------------- run-iter! [37] 100.0% [49] 1078(1.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [59] 100.0% -------------------------------------------------------------------------- loop [41] 100.0% [50] 1064(1.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [62] 77.3% for-loop [64] 22.7% -------------------------------------------------------------------------- simplify [34] 100.0% [51] 1030(1.0%) 404(0.4%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [59] 21.4% return/no-unsupplied [65] 20.0% ??? [66] 19.4% -------------------------------------------------------------------------- run-iter! [37] 100.0% [52] 442(0.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [63] 100.0% -------------------------------------------------------------------------- run-iter! [37] 100.0% [53] 220(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [59] 100.0% -------------------------------------------------------------------------- simplify-node [47] 0.1% parse-loop12 [131] 0.2% f3 [70] 7.2% for-loop [42] 92.6% [54] 21564(20.5%) 444(0.4%) append-map ...acket/collects/racket/list.rkt:565:2 loop [124] 73.2% taylor-alt [69] 19.6% f3 [70] 5.9% parse-loop12 [131] 0.8% -------------------------------------------------------------------------- simplify! [44] 100.0% [55] 11502(10.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [68] 100.0% -------------------------------------------------------------------------- for-loop [56] 49.0% one-iter [43] 51.0% [56] 9652(9.2%) 2244(2.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [56] 49.0% match-e [85] 37.3% ??? [123] 1.0% -------------------------------------------------------------------------- loop [124] 9.2% infer-splitpoints4 [45] 90.8% [57] 8752(8.3%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [71] 85.1% pick-errors [75] 7.7% loop [124] 7.2% -------------------------------------------------------------------------- one-iter [43] 100.0% [58] 4724(4.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [72] 100.0% -------------------------------------------------------------------------- choose-best-alt! [53] 6.5% debug7 [51] 6.5% post-process [33] 17.8% finalize-iter! [49] 32.0% split-table [38] 37.1% [59] 3368(3.2%) 220(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [73] 44.0% split-atab [74] 37.1% atab-pick-alt8 [78] 6.5% atab-add-altns [82] 5.8% -------------------------------------------------------------------------- debug-print [48] 100.0% [60] 866(0.8%) 866(0.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- simplify-node [47] 100.0% [61] 824(0.8%) 402(0.4%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [76] 51.2% -------------------------------------------------------------------------- pass [50] 100.0% [62] 822(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [77] 48.9% make-sequence [79] 26.5% for-loop [80] 24.6% -------------------------------------------------------------------------- gen-series! [52] 100.0% [63] 442(0.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [69] 100.0% -------------------------------------------------------------------------- pass [50] 100.0% [64] 242(0.2%) 242(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:176:2 -------------------------------------------------------------------------- debug7 [51] 100.0% [65] 206(0.2%) 206(0.2%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 -------------------------------------------------------------------------- debug7 [51] 100.0% [66] 200(0.2%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [81] 100.0% -------------------------------------------------------------------------- simplify-node [47] 100.0% [67] 178(0.2%) 178(0.2%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 -------------------------------------------------------------------------- for-loop [55] 3.7% run [17] 47.5% [68] 103674(98.3%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.5% run-improve58 [2] 24.7% loop [83] 24.1% simplify [8] 3.7% -------------------------------------------------------------------------- for-loop [63] 2.0% append-map [54] 19.2% loop [124] 78.8% [69] 22006(20.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [84] 100.0% -------------------------------------------------------------------------- composed [119] 0.8% simplify-node [47] 0.9% loop [124] 2.1% approximate9 [3] 3.0% f3 [70] 4.5% append-map [54] 5.5% parse-loop12 [131] 8.0% hash-ref! [150] 19.8% map [117] 24.9% simplify [34] 30.5% [70] 15032(14.3%) 2420(2.3%) f3 ...et/collects/racket/match/compiler.rkt:499:40 map [117] 55.9% for-loop [87] 15.0% append-map [54] 6.6% f3 [70] 4.5% hash-ref! [150] 2.2% composed [119] 1.5% taylor [28] 1.1% parse-loop12 [131] 0.7% taylor-sqrt [126] 0.7% combine-mterms [13] 0.7% taylor-invert [16] 0.5% compose [172] 0.1% -------------------------------------------------------------------------- option-on-expr [57] 100.0% [71] 7448(7.1%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [86] 100.0% -------------------------------------------------------------------------- one-iter [43] 7.8% loop [58] 92.2% [72] 5126(4.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [100] 39.3% for-loop [89] 28.3% match-e [85] 20.8% update-leader! [113] 7.8% substitute-e [95] 3.9% -------------------------------------------------------------------------- ??? [59] 100.0% [73] 1482(1.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [88] 100.0% -------------------------------------------------------------------------- ??? [59] 100.0% [74] 1250(1.2%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [90] 100.0% -------------------------------------------------------------------------- option-on-expr [57] 100.0% [75] 670(0.6%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [91] 100.0% -------------------------------------------------------------------------- combine-aterms [61] 100.0% [76] 422(0.4%) 200(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [150] 52.6% -------------------------------------------------------------------------- for-loop [62] 100.0% [77] 402(0.4%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [92] 100.0% -------------------------------------------------------------------------- ??? [59] 100.0% [78] 220(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [93] 100.0% -------------------------------------------------------------------------- for-loop [62] 100.0% [79] 218(0.2%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [94] 100.0% -------------------------------------------------------------------------- for-loop [62] 100.0% [80] 202(0.2%) 202(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- ??? [66] 100.0% [81] 200(0.2%) 200(0.2%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 -------------------------------------------------------------------------- ??? [59] 100.0% [82] 196(0.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [88] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 0.8% ??? [68] 99.2% [83] 49322(46.8%) 238(0.2%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [96] 46.4% make-exacts* [107] 37.4% loop [108] 15.8% -------------------------------------------------------------------------- taylor-alt [69] 100.0% [84] 22006(20.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [97] 100.0% -------------------------------------------------------------------------- apply-match [72] 11.6% for-loop [110] 14.1% for-loop [56] 74.2% [85] 8270(7.8%) 4692(4.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [99] 31.9% for-loop [110] 18.2% loop [124] 1.2% -------------------------------------------------------------------------- localize-error [46] 3.1% sort-context-on-expr [71] 96.9% [86] 7686(7.3%) 200(0.2%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [98] 74.9% loop [109] 19.4% jloop [12] 3.1% -------------------------------------------------------------------------- f3 [70] 100.0% [87] 2252(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:31:37 eval-prog [125] 91.3% ??? [130] 8.7% -------------------------------------------------------------------------- atab-add-altns [82] 11.7% for-loop [73] 88.3% [88] 1678(1.6%) 202(0.2%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [101] 88.0% -------------------------------------------------------------------------- apply-match [72] 100.0% [89] 1450(1.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [132] 72.4% merge-egraph-nodes! [100] 27.6% -------------------------------------------------------------------------- split-atab [74] 100.0% [90] 1250(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [102] 65.9% for-loop [104] 17.8% for-loop [106] 16.3% -------------------------------------------------------------------------- pick-errors [75] 100.0% [91] 670(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [125] 100.0% -------------------------------------------------------------------------- argmin [77] 100.0% [92] 402(0.4%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [103] 100.0% -------------------------------------------------------------------------- atab-pick-alt8 [78] 100.0% [93] 220(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [105] 100.0% -------------------------------------------------------------------------- make-sequence [79] 100.0% [94] 218(0.2%) 218(0.2%) ??? ...acket/collects/racket/private/for.rkt:428:7 -------------------------------------------------------------------------- substitute-e [95] 50.0% apply-match [72] 50.0% [95] 200(0.2%) 200(0.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [95] 50.0% -------------------------------------------------------------------------- loop [83] 100.0% [96] 22884(21.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [107] 51.4% loop [108] 41.7% eval-prog [125] 6.9% -------------------------------------------------------------------------- loop [111] 1.2% for-loop [84] 46.9% location-do [97] 51.9% [97] 22006(20.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [97] 51.9% approximate9 [3] 42.2% loop [111] 5.9% -------------------------------------------------------------------------- sort [86] 42.2% copying-mergesort [98] 57.8% [98] 5758(5.5%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [98] 57.8% loop [109] 28.3% jloop [12] 13.9% -------------------------------------------------------------------------- match-e [85] 100.0% [99] 2952(2.8%) 1696(1.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [110] 46.0% -------------------------------------------------------------------------- merge-egraph-nodes! [100] 4.6% for-loop [89] 16.6% apply-match [72] 78.9% [100] 2412(2.3%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [113] 62.2% loop! [132] 16.7% for-loop [115] 16.6% merge-egraph-nodes! [100] 4.6% -------------------------------------------------------------------------- atab-add-altn [88] 100.0% [101] 1476(1.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [112] 100.0% -------------------------------------------------------------------------- for-loop [90] 100.0% [102] 824(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [114] 100.0% -------------------------------------------------------------------------- expression-cost [92] 100.0% [103] 402(0.4%) 200(0.2%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [150] 50.2% -------------------------------------------------------------------------- for-loop [90] 100.0% [104] 222(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:76:45 ??? [122] 100.0% -------------------------------------------------------------------------- ??? [93] 100.0% [105] 220(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [116] 100.0% -------------------------------------------------------------------------- for-loop [90] 100.0% [106] 204(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:86:30 ??? [122] 100.0% -------------------------------------------------------------------------- loop [96] 38.9% loop [83] 61.1% [107] 30184(28.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [124] 48.5% map [117] 44.3% eval-prog [125] 7.2% -------------------------------------------------------------------------- loop [83] 44.9% loop [96] 55.1% [108] 17324(16.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [117] 100.0% -------------------------------------------------------------------------- sort [86] 36.9% copying-mergesort [98] 63.1% [109] 4038(3.8%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [118] 100.0% -------------------------------------------------------------------------- for-loop [99] 37.5% match-e [85] 62.5% [110] 3330(3.2%) 1040(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [85] 58.7% ??? [123] 19.3% -------------------------------------------------------------------------- loop [111] 50.0% location-do [97] 50.0% [111] 3032(2.9%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 loop [111] 50.0% approximate9 [3] 34.0% location-do [97] 16.0% -------------------------------------------------------------------------- composed [119] 8.6% run-improve58 [2] 8.8% loop [124] 24.8% best-and-tied-at-points [101] 57.7% [112] 2556(2.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [120] 58.2% eval-prog [125] 41.8% -------------------------------------------------------------------------- apply-match [72] 19.9% merge-egraph-nodes! [100] 80.1% [113] 2010(1.9%) 400(0.4%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [121] 70.0% update-en-expr [165] 10.0% -------------------------------------------------------------------------- one-iter [43] 19.5% for-loop [102] 80.5% [114] 1024(1.0%) 200(0.2%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [122] 80.5% -------------------------------------------------------------------------- merge-egraph-nodes! [100] 100.0% [115] 400(0.4%) 400(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 -------------------------------------------------------------------------- best-alt [105] 100.0% [116] 220(0.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [119] 100.0% -------------------------------------------------------------------------- parse-loop12 [131] 9.0% f3 [70] 21.7% make-exacts* [107] 29.9% loop [108] 38.8% [117] 44688(42.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [124] 73.0% parse-loop12 [131] 12.2% f3 [70] 11.3% taylor-sqrt [126] 1.2% ??? [130] 0.6% simplify-node [47] 0.5% ->flonum [153] 0.2% -------------------------------------------------------------------------- jloop [12] 44.3% loop [109] 55.7% [118] 7248(6.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [125] 96.8% ??? [130] 3.2% -------------------------------------------------------------------------- loop [116] 14.4% f3 [70] 85.6% [119] 1526(1.4%) 220(0.2%) composed ...ollects/racket/private/list.rkt:321:16 f3 [70] 71.2% errors [112] 14.4% -------------------------------------------------------------------------- errors [112] 100.0% [120] 1488(1.4%) 220(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [130] 56.6% ulp-difference [129] 15.2% ->flonum [153] 13.4% -------------------------------------------------------------------------- update-leader! [113] 100.0% [121] 1408(1.3%) 200(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [127] 85.8% -------------------------------------------------------------------------- for-loop [106] 16.3% for-loop [104] 17.8% loop [114] 65.9% [122] 1250(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/regimes.rkt:291:8 eval-prog [125] 100.0% -------------------------------------------------------------------------- for-loop [56] 23.9% for-loop [110] 76.1% [123] 844(0.8%) 220(0.2%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [128] 73.9% -------------------------------------------------------------------------- errors-score [31] 0.0% make-exacts* [107] 0.1% loop! [132] 0.2% match-e [85] 0.3% taylor [28] 0.4% option-on-expr [57] 0.5% infer-splitpoints4 [45] 0.8% extract-alt [40] 1.0% post-process [33] 1.8% parse-loop12 [131] 1.8% map [117] 1.8% ??? [10] 6.2% append-map [54] 17.3% loop [124] 67.7% [124] 79326(75.2%) 666(0.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [124] 67.7% taylor-alt [69] 17.2% hash-ref! [150] 5.9% parse-loop12 [131] 2.0% localize-error [46] 1.2% simplify [8] 1.0% option-on-expr [57] 0.8% ??? [130] 0.8% f3 [70] 0.7% completely-simplify-alt [11] 0.6% errors [112] 0.5% simplify [34] 0.4% loop! [132] 0.2% make-multiplication-node [157] 0.1% for-loop [138] 0.0% ->flonum [153] 0.0% -------------------------------------------------------------------------- for-loop [91] 4.2% errors [112] 6.8% ??? [122] 7.9% loop [96] 10.0% for-loop [87] 13.0% make-exacts* [107] 13.7% ??? [118] 44.4% [125] 15806(15.0%) 8422(8.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [150] 37.8% ??? [135] 4.6% go [136] 2.7% inductor [137] 1.6% -------------------------------------------------------------------------- approximate9 [3] 16.3% f3 [70] 16.7% hash-ref! [150] 17.4% map [117] 49.6% [126] 1254(1.2%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [134] 67.8% simplify [34] 16.3% hash-ref! [150] 15.9% -------------------------------------------------------------------------- for-loop [121] 100.0% [127] 1208(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [133] 100.0% -------------------------------------------------------------------------- ??? [123] 100.0% [128] 624(0.6%) 422(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 constant? [139] 32.4% -------------------------------------------------------------------------- for-loop [120] 100.0% [129] 226(0.2%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [163] 100.0% -------------------------------------------------------------------------- for-loop [87] 0.4% ??? [118] 0.5% map [117] 0.5% for-loop [120] 1.8% loop [124] 96.7% [130] 46388(44.0%) 928(0.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [140] 90.6% real->bigfloat [141] 4.9% ??? [175] 1.0% ->flonum [153] 0.5% -------------------------------------------------------------------------- f3 [70] 1.4% for-loop [30] 2.1% hash-ref! [150] 2.9% append-map [54] 4.7% loop [124] 7.8% simplify [34] 16.8% map [117] 30.0% parse-loop12 [131] 34.3% [131] 15068(14.3%) 10906(10.3%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [131] 34.3% map [117] 11.6% f3 [70] 10.4% loop [124] 8.8% for-loop [146] 2.1% append-map [54] 1.3% for-loop [149] 0.7% loop [147] 0.3% -------------------------------------------------------------------------- merge-egraph-nodes! [100] 13.8% loop [124] 30.8% for-loop [89] 55.3% [132] 1452(1.4%) 402(0.4%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [124] 30.8% custom-set-union [145] 29.1% set [144] 12.4% update-en-expr [165] 7.0% -------------------------------------------------------------------------- for-loop [127] 100.0% [133] 1208(1.1%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [142] 100.0% -------------------------------------------------------------------------- taylor-invert [16] 20.6% taylor-sqrt [126] 79.4% [134] 1070(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [150] 60.0% ??? [35] 40.0% -------------------------------------------------------------------------- eval-prog [125] 100.0% [135] 720(0.7%) 242(0.2%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [143] 66.4% -------------------------------------------------------------------------- eval-prog [125] 100.0% [136] 430(0.4%) 220(0.2%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [148] 48.8% -------------------------------------------------------------------------- eval-prog [125] 33.3% inductor [137] 66.7% [137] 252(0.2%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [137] 66.7% real->bigfloat [141] 33.3% -------------------------------------------------------------------------- loop [124] 100.0% [138] 216(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 compose [172] 100.0% -------------------------------------------------------------------------- for-loop [128] 100.0% [139] 202(0.2%) 202(0.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- ??? [130] 100.0% [140] 42048(39.9%) 2736(2.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [168] 51.3% bf* [160] 19.8% ...higher-order.rkt:373:33 [151] 13.6% bffma [152] 3.1% ...higher-order.rkt:369:33 [155] 2.7% bf>= [156] 1.7% ...ow-val-first.rkt:357:18 [164] 1.1% -------------------------------------------------------------------------- inductor [137] 9.9% ??? [130] 90.1% [141] 2540(2.4%) 1404(1.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [179] 44.7% -------------------------------------------------------------------------- hash-update! [133] 100.0% [142] 1208(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [154] 100.0% -------------------------------------------------------------------------- ??? [135] 100.0% [143] 478(0.5%) 478(0.5%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 -------------------------------------------------------------------------- loop! [132] 100.0% [144] 426(0.4%) 426(0.4%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- loop! [132] 100.0% [145] 422(0.4%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [158] 52.6% for-loop [159] 47.4% -------------------------------------------------------------------------- parse-loop12 [131] 100.0% [146] 420(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [150] 100.0% -------------------------------------------------------------------------- parse-loop12 [131] 1.2% loop [147] 98.8% [147] 220(0.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [147] 98.8% ->flonum [153] 1.2% -------------------------------------------------------------------------- go [136] 33.3% loop [148] 66.7% [148] 210(0.2%) 210(0.2%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [148] 66.7% -------------------------------------------------------------------------- parse-loop12 [131] 100.0% [149] 202(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [157] 100.0% -------------------------------------------------------------------------- for-loop [76] 0.1% ??? [15] 0.1% for-loop [146] 0.1% for-loop [32] 0.2% taylor-sqrt [126] 0.2% f3 [70] 0.3% for-loop [29] 0.3% ??? [10] 0.3% compile [103] 0.3% ??? [4] 0.8% first-nonzero-exp [134] 1.5% for-loop [39] 2.3% for-loop [22] 3.9% for-loop [20] 4.7% ??? [161] 5.3% localize-error [46] 7.4% eval-prog [125] 7.6% loop [19] 8.5% for-loop [21] 11.8% loop [124] 12.0% ??? [35] 31.3% [150] 30050(28.5%) 1220(1.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [5] 32.2% ??? [10] 12.9% ??? [6] 12.0% f3 [70] 8.5% simplify [34] 7.6% bigfloat-hash [162] 6.9% ??? [4] 5.9% ??? [161] 5.3% ??? [7] 3.9% ??? [9] 2.3% parse-loop12 [131] 1.1% ??? [15] 0.2% taylor-sqrt [126] 0.2% ??? [14] 0.1% -------------------------------------------------------------------------- ??? [140] 100.0% [151] 5738(5.4%) 576(0.5%) ...higher-order.rkt:373:33 (unknown source) ??? [169] 69.8% ??? [175] 20.1% -------------------------------------------------------------------------- ??? [140] 100.0% [152] 1324(1.3%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [160] 83.4% ...ow-val-first.rkt:357:18 [164] 16.6% -------------------------------------------------------------------------- for-loop [120] 15.3% map [117] 16.7% loop [147] 16.8% ??? [130] 17.8% loop [124] 33.4% [153] 1306(1.2%) 452(0.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [163] 47.8% ??? [167] 17.6% -------------------------------------------------------------------------- ??? [142] 100.0% [154] 1208(1.1%) 988(0.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [165] 18.2% -------------------------------------------------------------------------- ??? [140] 100.0% [155] 1150(1.1%) 236(0.2%) ...higher-order.rkt:369:33 (unknown source) ??? [169] 60.2% ??? [175] 19.3% -------------------------------------------------------------------------- ??? [140] 100.0% [156] 720(0.7%) 0(0.0%) bf>= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [178] 100.0% -------------------------------------------------------------------------- loop [124] 50.0% for-loop [149] 50.0% [157] 404(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [166]100.0% -------------------------------------------------------------------------- custom-set-union [145] 100.0% [158] 222(0.2%) 222(0.2%) for-loop ...cts/racket/private/set-types.rkt:174:3 -------------------------------------------------------------------------- custom-set-union [145] 100.0% [159] 200(0.2%) 200(0.2%) for-loop ...cts/racket/private/set-types.rkt:152:2 -------------------------------------------------------------------------- bffma [152] 11.7% ??? [140] 88.3% [160] 9448(9.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [168] 100.0% -------------------------------------------------------------------------- hash-ref! [150] 100.0% [161] 8240(7.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [150] 100.0% -------------------------------------------------------------------------- hash-ref! [150] 100.0% [162] 5358(5.1%) 202(0.2%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [170] 70.8% sig+exp->bigfloat [171] 25.4% -------------------------------------------------------------------------- ulp-difference [129] 26.6% ->flonum [153] 73.4% [163] 850(0.8%) 850(0.8%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- bffma [152] 32.7% ??? [140] 67.3% [164] 672(0.6%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [169] 100.0% -------------------------------------------------------------------------- loop! [132] 32.4% update-leader! [113] 32.4% for-loop [154] 35.3% [165] 624(0.6%) 624(0.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- make-multiplication-node [157] 100.0% [166] 404(0.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [173] 50.0% compose [172] 50.0% -------------------------------------------------------------------------- ->flonum [153] 100.0% [167] 230(0.2%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [179] 100.0% -------------------------------------------------------------------------- bf* [160] 30.4% ??? [140] 69.6% [168] 31032(29.4%) 3238(3.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [174] 59.9% ??? [178] 16.9% bfsqrt [176] 12.8% -------------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [164] 12.5% ...higher-order.rkt:369:33 [155] 12.9% ...higher-order.rkt:373:33 [151] 74.6% [169] 5370(5.1%) 692(0.7%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [175] 87.1% -------------------------------------------------------------------------- bigfloat-hash [162] 100.0% [170] 3794(3.6%) 3368(3.2%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [177] 11.2% -------------------------------------------------------------------------- bigfloat-hash [162] 100.0% [171] 1362(1.3%) 1132(1.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [179] 16.9% -------------------------------------------------------------------------- f3 [70] 32.4% make-multiplication-subnode [166] 32.7% for-loop [138] 35.0% [172] 618(0.6%) 618(0.6%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- make-multiplication-subnode [166]100.0% [173] 202(0.2%) 202(0.2%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------- ??? [168] 100.0% [174] 18592(17.6%) 12810(12.1%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [179] 31.1% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [155] 3.4% ??? [130] 7.0% ...higher-order.rkt:373:33 [151] 17.7% ??? [169] 71.8% [175] 6514(6.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [178] 100.0% -------------------------------------------------------------------------- ??? [168] 100.0% [176] 3958(3.8%) 3068(2.9%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [179] 22.5% -------------------------------------------------------------------------- bfcanonicalize [170] 100.0% [177] 426(0.4%) 206(0.2%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [180] 51.6% -------------------------------------------------------------------------- bf>= [156] 5.8% ??? [168] 42.0% ??? [175] 52.2% [178] 12478(11.8%) 5780(5.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [181] 48.0% ??? [182] 5.7% -------------------------------------------------------------------------- ??? [167] 2.8% sig+exp->bigfloat [171] 2.8% bfsqrt [176] 10.8% real->bigfloat [141] 13.7% bfdiv [174] 69.9% [179] 8268(7.8%) 8268(7.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- bigfloat->sig+exp [177] 100.0% [180] 220(0.2%) 220(0.2%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 -------------------------------------------------------------------------- ??? [178] 100.0% [181] 5986(5.7%) 2946(2.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [183] 50.8% -------------------------------------------------------------------------- ??? [178] 100.0% [182] 712(0.7%) 260(0.2%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [184] 63.5% -------------------------------------------------------------------------- ??? [181] 100.0% [183] 3040(2.9%) 3040(2.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------- ??? [182] 100.0% [184] 452(0.4%) 452(0.4%) ??? ...lects/racket/contract/private/orc.rkt:73:14 --------------------------------------------------------------------------