Profiling results ----------------- Total cpu time observed: 83286ms (out of 84400ms) Number of samples taken: 362 (once every 230ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 184 hidden) ========================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================= ??? [51] 100.0% [1] 80088(96.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% ------------------------------------------------------------------------- ??? [51] 100.0% [2] 44484(53.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [15] 46.2% get-final-combination [16] 26.5% finalize-table! [17] 25.7% loop [61] 1.0% setup-prog [24] 0.5% ------------------------------------------------------------------------- simplify-alt [33] 1.0% loop [131] 8.4% ??? [51] 90.6% [3] 19588(23.5%) 320(0.4%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [27] 46.3% iterate-egraph!5 [34] 29.2% for-loop [18] 22.0% loop [40] 0.9% ------------------------------------------------------------------------- post-process [28] 4.5% loop [131] 95.5% [4] 4530(5.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [27] 100.0% ------------------------------------------------------------------------- hash-ref! [114] 100.0% [5] 1852(2.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [31] 56.6% hash-ref! [114] 43.4% ------------------------------------------------------------------------- hash-ref! [114] 100.0% [6] 1852(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 100.0% ------------------------------------------------------------------------- sort [62] 12.8% copying-mergesort [72] 87.2% [7] 1734(2.1%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [92] 87.2% errors-score [23] 12.8% ------------------------------------------------------------------------- hash-ref! [114] 100.0% [8] 1672(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [20] 100.0% ------------------------------------------------------------------------- hash-ref! [114] 100.0% [9] 1450(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [21] 100.0% ------------------------------------------------------------------------- hash-ref! [114] 100.0% [10] 846(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [22] 100.0% ------------------------------------------------------------------------- f3 [122] 100.0% [11] 414(0.5%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [111] 53.6% simplify [117] 46.4% ------------------------------------------------------------------------- hash-ref! [114] 100.0% [12] 200(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [25] 100.0% ------------------------------------------------------------------------- hash-ref! [114] 100.0% [13] 196(0.2%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [111] 100.0% ------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [14] 80088(96.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [51] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 20566(24.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [26] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 11800(14.2%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [29] 86.1% extract-alt [30] 13.9% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 11450(13.7%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [28] 100.0% ------------------------------------------------------------------------- simplify [3] 100.0% [18] 4304(5.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [34] 90.1% loop [40] 5.2% simplify-expr [27] 4.8% ------------------------------------------------------------------------- ??? [6] 100.0% [19] 1852(2.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [114] 52.1% ??? [31] 47.9% ------------------------------------------------------------------------- ??? [8] 100.0% [20] 1672(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [114] 100.0% ------------------------------------------------------------------------- ??? [9] 100.0% [21] 1450(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [114] 72.3% simplify [117] 27.7% ------------------------------------------------------------------------- ??? [10] 100.0% [22] 846(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [32] 100.0% ------------------------------------------------------------------------- jloop [7] 100.0% [23] 222(0.3%) 222(0.3%) errors-score ...atlock/herbie/src/points.rkt:154:0 ------------------------------------------------------------------------- run-improve58 [2] 100.0% [24] 202(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [33] 100.0% ------------------------------------------------------------------------- ??? [12] 100.0% [25] 200(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [114] 100.0% ------------------------------------------------------------------------- for-loop [15] 100.0% [26] 20566(24.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [35] 86.3% finalize-iter! [39] 5.1% gen-series! [41] 4.7% localize-error [38] 2.8% choose-best-alt! [42] 1.1% ------------------------------------------------------------------------- for-loop [18] 1.5% completely-simplify-alt [4] 32.8% simplify [3] 65.7% [27] 13800(16.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [34] 95.6% loop [40] 4.4% ------------------------------------------------------------------------- finalize-table! [17] 100.0% [28] 11450(13.7%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [131] 50.9% for-loop [37] 37.9% ??? [47] 5.8% localize-error [38] 3.6% completely-simplify-alt [4] 1.8% ------------------------------------------------------------------------- get-final-combination [16] 100.0% [29] 10164(12.2%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [36] 87.2% ??? [47] 12.8% ------------------------------------------------------------------------- get-final-combination [16] 100.0% [30] 1636(2.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [131] 100.0% ------------------------------------------------------------------------- first-nonzero-exp [111] 10.8% ??? [5] 31.9% for-loop [19] 57.3% [31] 1626(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [114] 100.0% ------------------------------------------------------------------------- for-loop [22] 100.0% [32] 846(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [114] 100.0% ------------------------------------------------------------------------- setup-prog [24] 100.0% [33] 202(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ------------------------------------------------------------------------- for-loop [18] 17.0% simplify [3] 25.1% simplify-expr [27] 57.9% [34] 22798(27.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [43] 92.1% map-enodes [48] 7.9% ------------------------------------------------------------------------- run-iter! [26] 100.0% [35] 17750(21.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [44] 100.0% ------------------------------------------------------------------------- split-table [29] 100.0% [36] 8868(10.6%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [45] 91.5% loop [131] 8.5% ------------------------------------------------------------------------- post-process [28] 100.0% [37] 4344(5.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [46] 100.0% ------------------------------------------------------------------------- post-process [28] 16.5% run-iter! [26] 23.4% loop [131] 60.1% [38] 2500(3.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [114] 91.1% sort [62] 8.9% ------------------------------------------------------------------------- run-iter! [26] 100.0% [39] 1046(1.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [47] 100.0% ------------------------------------------------------------------------- simplify [3] 17.6% for-loop [18] 22.2% simplify-expr [27] 60.2% [40] 1000(1.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [49] 100.0% ------------------------------------------------------------------------- run-iter! [26] 100.0% [41] 962(1.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [50] 100.0% ------------------------------------------------------------------------- run-iter! [26] 100.0% [42] 222(0.3%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [47] 100.0% ------------------------------------------------------------------------- iterate-egraph!5 [34] 100.0% [43] 20990(25.2%) 864(1.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [52] 66.5% loop [54] 27.4% apply-match [63] 1.0% loop [86] 1.0% ------------------------------------------------------------------------- simplify! [35] 100.0% [44] 17750(21.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [51] 100.0% ------------------------------------------------------------------------- loop [131] 8.5% infer-splitpoints4 [36] 91.5% [45] 8868(10.6%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [53] 85.7% pick-errors [58] 7.3% loop [131] 4.3% errors [101] 2.7% ------------------------------------------------------------------------- simplify-node [106] 2.3% f3 [122] 7.2% for-loop [37] 90.5% [46] 4344(5.2%) 202(0.2%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [55] 80.0% loop [131] 10.5% f3 [122] 6.0% parse-loop50 [126] 2.3% ------------------------------------------------------------------------- debug7 [133] 5.9% choose-best-alt! [42] 6.5% post-process [28] 19.3% finalize-iter! [39] 30.5% split-table [29] 37.8% [47] 3428(4.1%) 202(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [56] 49.8% split-atab [57] 37.8% atab-pick-alt8 [60] 6.5% ------------------------------------------------------------------------- iterate-egraph!5 [34] 100.0% [48] 1808(2.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [131] 77.7% for-loop [138] 22.3% ------------------------------------------------------------------------- loop [40] 100.0% [49] 1000(1.2%) 376(0.5%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [59] 62.4% ------------------------------------------------------------------------- gen-series! [41] 100.0% [50] 962(1.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [55] 100.0% ------------------------------------------------------------------------- for-loop [44] 7.4% run [14] 45.7% [51] 81494(97.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.7% run-improve58 [2] 24.1% loop [61] 22.8% simplify [3] 7.4% ------------------------------------------------------------------------- for-loop [52] 48.6% one-iter [43] 51.4% [52] 13958(16.8%) 3808(4.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [52] 48.6% match-e [71] 36.4% ------------------------------------------------------------------------- option-on-expr [45] 100.0% [53] 7604(9.1%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [62] 100.0% ------------------------------------------------------------------------- one-iter [43] 100.0% [54] 5748(6.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [63] 100.0% ------------------------------------------------------------------------- loop [131] 11.4% for-loop [50] 18.1% append-map [46] 70.4% [55] 5306(6.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [64] 100.0% ------------------------------------------------------------------------- ??? [47] 100.0% [56] 1708(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [65] 100.0% ------------------------------------------------------------------------- ??? [47] 100.0% [57] 1296(1.6%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [66] 100.0% ------------------------------------------------------------------------- option-on-expr [45] 100.0% [58] 646(0.8%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [67] 100.0% ------------------------------------------------------------------------- pass [49] 100.0% [59] 624(0.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [68] 67.9% filter [149] 32.1% ------------------------------------------------------------------------- ??? [47] 100.0% [60] 222(0.3%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [69] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 1.2% ??? [51] 98.8% [61] 37476(45.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [70] 46.3% make-exacts* [80] 36.5% loop [81] 17.1% ------------------------------------------------------------------------- localize-error [38] 2.8% sort-context-on-expr [53] 97.2% [62] 7826(9.4%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [72] 70.5% loop [82] 26.6% jloop [7] 2.8% ------------------------------------------------------------------------- one-iter [43] 3.7% loop [54] 96.3% [63] 5968(7.2%) 400(0.5%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [74] 37.6% for-loop [77] 15.1% loop! [137] 14.1% match-e [71] 10.0% update-leader! [85] 6.7% substitute-e [87] 6.4% mk-enode! [98] 3.4% ------------------------------------------------------------------------- taylor-alt [55] 100.0% [64] 5306(6.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [73] 100.0% ------------------------------------------------------------------------- for-loop [56] 100.0% [65] 1708(2.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [75] 87.0% loop [78] 13.0% ------------------------------------------------------------------------- split-atab [57] 100.0% [66] 1296(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [76] 100.0% ------------------------------------------------------------------------- pick-errors [58] 100.0% [67] 646(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [132] 100.0% ------------------------------------------------------------------------- for-loop [59] 100.0% [68] 424(0.5%) 424(0.5%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------- atab-pick-alt8 [60] 100.0% [69] 222(0.3%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [79] 100.0% ------------------------------------------------------------------------- loop [61] 100.0% [70] 17366(20.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [81] 50.2% make-exacts* [80] 39.7% eval-prog [132] 10.1% ------------------------------------------------------------------------- apply-match [63] 3.7% for-loop [94] 7.8% for-loop [52] 88.5% [71] 10744(12.9%) 5454(6.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [83] 42.0% for-loop [94] 3.9% list-cartesian-product [97] 3.7% loop [131] 0.9% ------------------------------------------------------------------------- sort [62] 46.2% copying-mergesort [72] 53.8% [72] 5520(6.6%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [72] 53.8% loop [82] 39.3% jloop [7] 6.8% ------------------------------------------------------------------------- loop [84] 6.4% for-loop [64] 34.8% location-do [73] 58.9% [73] 5306(6.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [73] 58.9% approximate9 [93] 21.6% loop [84] 19.6% ------------------------------------------------------------------------- apply-match [63] 100.0% [74] 2246(2.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [85] 71.4% loop! [137] 18.8% for-loop [90] 9.8% ------------------------------------------------------------------------- atab-add-altn [65] 100.0% [75] 1486(1.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [101] 72.1% for-loop [88] 27.9% ------------------------------------------------------------------------- for-loop [66] 100.0% [76] 1296(1.6%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [86] 100.0% ------------------------------------------------------------------------- apply-match [63] 100.0% [77] 900(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [137] 46.7% substitute-e [87] 26.7% mk-enode! [98] 26.7% ------------------------------------------------------------------------- atab-add-altn [65] 100.0% [78] 222(0.3%) 222(0.3%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 ------------------------------------------------------------------------- ??? [69] 100.0% [79] 222(0.3%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [89] 100.0% ------------------------------------------------------------------------- loop [70] 33.5% loop [61] 66.5% [80] 20582(24.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [91] 47.7% loop [131] 46.9% eval-prog [132] 5.5% ------------------------------------------------------------------------- loop [61] 42.4% loop [70] 57.6% [81] 15138(18.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [91] 100.0% ------------------------------------------------------------------------- sort [62] 34.2% copying-mergesort [72] 65.8% [82] 6092(7.3%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [92] 100.0% ------------------------------------------------------------------------- match-e [71] 100.0% [83] 5142(6.2%) 2100(2.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [94] 33.7% list-cartesian-product [97] 15.1% loop [131] 8.4% filter [149] 1.9% ------------------------------------------------------------------------- loop [84] 42.0% location-do [73] 58.0% [84] 2660(3.2%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 loop [84] 42.0% approximate9 [93] 34.3% location-do [73] 23.7% ------------------------------------------------------------------------- apply-match [63] 19.9% merge-egraph-nodes! [74] 80.1% [85] 2002(2.4%) 200(0.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [95] 90.0% ------------------------------------------------------------------------- one-iter [43] 13.4% for-loop [76] 86.6% [86] 1496(1.8%) 200(0.2%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [96] 86.6% ------------------------------------------------------------------------- substitute-e [87] 19.2% for-loop [77] 19.2% apply-match [63] 61.5% [87] 624(0.7%) 240(0.3%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [98] 61.5% substitute-e [87] 19.2% ------------------------------------------------------------------------- best-and-tied-at-points [75] 100.0% [88] 414(0.5%) 414(0.5%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------- best-alt [79] 100.0% [89] 222(0.3%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [99] 100.0% ------------------------------------------------------------------------- merge-egraph-nodes! [74] 100.0% [90] 220(0.3%) 220(0.3%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ------------------------------------------------------------------------- gather-multiplicative-terms [129] 0.4% parse-loop50 [126] 0.7% ??? [103] 1.1% f3 [122] 9.5% make-exacts* [80] 34.7% loop [81] 53.6% [91] 28262(33.9%) 202(0.2%) map ...acket/collects/racket/private/map.rkt:21:13 loop [131] 88.6% f3 [122] 3.3% ??? [103] 3.2% ->flonum [139] 1.1% parse-loop50 [126] 1.0% taylor-sqrt [104] 0.7% simplify-node [106] 0.6% gather-multiplicative-terms [129] 0.4% make-multiplication-node [134] 0.4% ------------------------------------------------------------------------- jloop [7] 19.9% loop [82] 80.1% [92] 7604(9.1%) 422(0.5%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [132] 94.5% ------------------------------------------------------------------------- loop [84] 26.4% location-do [73] 73.6% [93] 5306(6.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [100] 61.3% f3 [122] 22.9% taylor-sqrt [104] 12.5% for-loop [108] 3.4% ------------------------------------------------------------------------- match-e [71] 26.0% for-loop [83] 74.0% [94] 2472(3.0%) 200(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [71] 67.6% ??? [105] 24.3% ------------------------------------------------------------------------- update-leader! [85] 100.0% [95] 1802(2.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [102] 100.0% ------------------------------------------------------------------------- loop [86] 100.0% [96] 1296(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/regimes.rkt:291:8 eval-prog [132] 100.0% ------------------------------------------------------------------------- match-e [71] 17.0% list-cartesian-product [97] 26.3% for-loop [83] 56.7% [97] 1180(1.4%) 978(1.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [97] 26.3% for-loop [107] 8.6% ------------------------------------------------------------------------- apply-match [63] 24.5% for-loop [77] 29.1% substitute-e [87] 46.5% [98] 826(1.0%) 826(1.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------- loop [89] 35.5% f3 [122] 64.5% [99] 626(0.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f3 [122] 64.5% errors [101] 35.5% ------------------------------------------------------------------------- approximate9 [93] 100.0% [100] 3252(3.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [114] 100.0% ------------------------------------------------------------------------- composed [99] 11.6% option-on-expr [45] 12.6% loop [131] 19.8% best-and-tied-at-points [75] 56.1% [101] 1912(2.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [110] 67.1% eval-prog [132] 32.9% ------------------------------------------------------------------------- for-loop [95] 100.0% [102] 1802(2.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [109] 100.0% ------------------------------------------------------------------------- loop [131] 38.1% map [91] 61.9% [103] 1636(2.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f3 [122] 49.6% hash-ref! [114] 20.9% map [91] 17.3% taylor-sqrt [104] 12.2% ------------------------------------------------------------------------- hash-ref! [114] 14.2% ??? [103] 16.1% map [91] 16.3% approximate9 [93] 53.4% [104] 1240(1.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [114] 48.7% first-nonzero-exp [111] 31.9% simplify [117] 19.4% ------------------------------------------------------------------------- for-loop [94] 100.0% [105] 600(0.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [112] 100.0% ------------------------------------------------------------------------- map [91] 100.0% [106] 442(0.5%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f3 [122] 54.3% append-map [46] 45.7% ------------------------------------------------------------------------- list-cartesian-product [97] 100.0% [107] 202(0.2%) 202(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------- approximate9 [93] 100.0% [108] 178(0.2%) 0(0.0%) for-loop ...atlock/herbie/src/core/taylor.rkt:18:8 replace-expression [113] 100.0% ------------------------------------------------------------------------- for-loop [102] 100.0% [109] 1802(2.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [115] 100.0% ------------------------------------------------------------------------- errors [101] 100.0% [110] 1282(1.5%) 222(0.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [136] 68.2% ??? [116] 14.5% ------------------------------------------------------------------------- taylor-quotient [13] 24.1% taylor-invert [11] 27.3% taylor-sqrt [104] 48.6% [111] 814(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [114] 78.4% ??? [31] 21.6% ------------------------------------------------------------------------- ??? [105] 100.0% [112] 600(0.7%) 600(0.7%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------- for-loop [108] 25.0% replace-expression [113] 75.0% [113] 178(0.2%) 178(0.2%) replace-expression ...erbie/src/programs.rkt:119:0 replace-expression [113] 75.0% ------------------------------------------------------------------------- for-loop [25] 0.2% for-loop [32] 0.8% for-loop [21] 1.1% ??? [103] 1.6% ??? [5] 1.6% f3 [122] 2.2% for-loop [19] 2.6% first-nonzero-exp [111] 2.9% taylor-sqrt [104] 3.2% ??? [31] 3.7% for-loop [20] 5.0% ??? [120] 7.9% loop [100] 9.6% eval-prog [132] 14.2% localize-error [38] 18.0% loop [131] 25.2% [114] 10480(12.6%) 602(0.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [118] 25.5% f3 [122] 19.7% bigfloat-hash [119] 13.2% simplify [117] 9.8% ??? [120] 7.9% ??? [8] 5.0% ??? [6] 4.8% parse-loop50 [126] 3.3% ??? [5] 2.7% ??? [9] 2.4% ??? [10] 0.8% taylor-quotient [13] 0.5% taylor-sqrt [104] 0.4% ??? [12] 0.2% ------------------------------------------------------------------------- hash-update! [109] 100.0% [115] 1802(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [121] 100.0% ------------------------------------------------------------------------- for-loop [110] 100.0% [116] 186(0.2%) 186(0.2%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ------------------------------------------------------------------------- taylor-invert [11] 4.7% loop [131] 4.9% taylor-sqrt [104] 5.8% for-loop [21] 9.8% hash-ref! [114] 74.8% [117] 4104(4.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f3 [122] 40.6% parse-loop50 [126] 30.1% debug7 [133] 19.4% debug-print [125] 9.8% ------------------------------------------------------------------------- hash-ref! [114] 100.0% [118] 3706(4.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [131] 100.0% ------------------------------------------------------------------------- hash-ref! [114] 100.0% [119] 3694(4.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [123] 76.8% sig+exp->bigfloat [124] 23.2% ------------------------------------------------------------------------- hash-ref! [114] 100.0% [120] 2206(2.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [114] 100.0% ------------------------------------------------------------------------- ??? [115] 100.0% [121] 1802(2.2%) 1384(1.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [151] 23.2% ------------------------------------------------------------------------- loop [131] 0.4% simplify-node [106] 1.1% composed [99] 1.4% for-loop [135] 1.9% ??? [103] 3.3% append-map [46] 3.5% approximate9 [93] 8.3% f3 [122] 9.8% map [91] 10.0% simplify [117] 12.8% hash-ref! [114] 47.4% [122] 5384(6.5%) 402(0.5%) f3 ...et/collects/racket/match/compiler.rkt:499:40 for-loop [127] 30.7% map [91] 29.6% hash-ref! [114] 9.9% f3 [122] 9.8% taylor [128] 5.9% append-map [46] 4.5% gather-multiplicative-terms [129] 2.9% taylor-invert [11] 2.0% composed [99] 1.4% parse-loop50 [126] 1.1% ------------------------------------------------------------------------- bigfloat-hash [119] 100.0% [123] 2838(3.4%) 2838(3.4%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------------- bigfloat-hash [119] 100.0% [124] 856(1.0%) 658(0.8%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [130] 23.1% ------------------------------------------------------------------------- simplify [117] 100.0% [125] 404(0.5%) 404(0.5%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ------------------------------------------------------------------------- loop [131] 2.2% f3 [122] 4.8% append-map [46] 8.1% map [91] 10.1% parse-loop50 [126] 20.6% hash-ref! [114] 24.9% simplify [117] 29.3% [126] 2502(3.0%) 1234(1.5%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [131] 35.2% parse-loop50 [126] 20.6% for-loop [135] 8.1% make-multiplication-node [134] 4.8% map [91] 2.0% ------------------------------------------------------------------------- f3 [122] 100.0% [127] 1654(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:31:37 eval-prog [132] 76.7% ??? [136] 23.3% ------------------------------------------------------------------------- f3 [122] 100.0% [128] 822(1.0%) 420(0.5%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [133] 24.6% loop [131] 24.3% ------------------------------------------------------------------------- map [91] 23.9% f3 [122] 76.1% [129] 422(0.5%) 202(0.2%) gather-multiplicative-terms ...re/reduce.rkt:107:0 curried [144] 52.1% map [91] 23.9% ------------------------------------------------------------------------- sig+exp->bigfloat [124] 100.0% [130] 198(0.2%) 198(0.2%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 ------------------------------------------------------------------------- map-enodes [48] 0.3% match-e [71] 0.4% taylor [128] 0.4% for-loop [83] 0.4% make-exacts* [80] 0.4% loop! [137] 0.5% option-on-expr [45] 0.5% parse-loop50 [126] 0.7% append-map [46] 1.2% infer-splitpoints4 [36] 1.3% map [91] 1.6% extract-alt [30] 2.1% post-process [28] 2.2% ??? [118] 5.7% loop [131] 82.2% [131] 50390(60.5%) 232(0.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [131] 82.2% hash-ref! [114] 5.7% simplify [3] 2.1% ??? [136] 1.9% localize-error [38] 1.3% option-on-expr [45] 1.3% taylor-alt [55] 1.2% completely-simplify-alt [4] 0.9% errors [101] 0.5% loop! [137] 0.5% parse-loop50 [126] 0.4% foldl [143] 0.4% simplify [117] 0.4% curried [144] 0.4% for-loop [138] 0.3% f3 [122] 0.2% ??? [103] 0.1% ->flonum [139] 0.0% set-precompute! [146] 0.0% ??? [168] 0.0% ------------------------------------------------------------------------- errors [101] 4.5% for-loop [67] 4.6% make-exacts* [80] 8.1% for-loop [127] 9.1% ??? [96] 9.3% loop [70] 12.6% ??? [92] 51.7% [132] 13900(16.7%) 8686(10.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [114] 29.7% go [140] 4.6% parse-lambda [145] 1.7% ------------------------------------------------------------------------- taylor [128] 20.2% simplify [117] 79.8% [133] 1000(1.2%) 200(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [141] 59.8% ??? [47] 20.2% ------------------------------------------------------------------------- map [91] 45.5% parse-loop50 [126] 54.5% [134] 440(0.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [142]100.0% ------------------------------------------------------------------------- parse-loop50 [126] 100.0% [135] 202(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f3 [122] 100.0% ------------------------------------------------------------------------- for-loop [127] 1.1% for-loop [110] 2.5% loop [131] 96.5% [136] 35592(42.7%) 1278(1.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [147] 86.2% real->bigfloat [148] 6.4% ??? [172] 3.2% ------------------------------------------------------------------------- for-loop [77] 12.5% merge-egraph-nodes! [74] 25.0% loop [131] 30.4% apply-match [63] 32.1% [137] 1686(2.0%) 420(0.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [150] 39.1% loop [131] 30.4% set [155] 12.0% update-en-expr [151] 5.9% ------------------------------------------------------------------------- map-enodes [48] 24.8% loop [131] 75.2% [138] 1626(2.0%) 216(0.3%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 compose [162] 36.5% eval-const-expr [154] 25.8% setfindf [156] 24.4% ------------------------------------------------------------------------- loop [131] 39.7% map [91] 60.3% [139] 670(0.8%) 404(0.5%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? 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[157] 100.0% ------------------------------------------------------------------------- loop [131] 100.0% [146] 182(0.2%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [159] 100.0% ------------------------------------------------------------------------- ??? [136] 100.0% [147] 30670(36.8%) 1068(1.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [168] 53.6% bf* [160] 28.1% ...higher-order.rkt:373:33 [161] 9.7% ...ow-val-first.rkt:357:18 [163] 2.1% ...higher-order.rkt:369:33 [164] 1.5% bf<= [166] 0.7% ------------------------------------------------------------------------- ??? [136] 100.0% [148] 2282(2.7%) 1272(1.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [175] 44.3% ------------------------------------------------------------------------- for-loop [83] 24.9% for-loop [59] 25.2% return/no-unsupplied [141] 49.9% [149] 794(1.0%) 794(1.0%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------- loop! [137] 100.0% [150] 660(0.8%) 220(0.3%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [165] 66.7% ------------------------------------------------------------------------- loop! [137] 32.4% for-loop [121] 67.6% [151] 618(0.7%) 618(0.7%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------- foldl [143] 100.0% [152] 434(0.5%) 434(0.5%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------- loop [153] 24.5% go [140] 75.5% [153] 432(0.5%) 432(0.5%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [153] 24.5% ------------------------------------------------------------------------- for-loop [138] 100.0% [154] 420(0.5%) 420(0.5%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ------------------------------------------------------------------------- loop! [137] 100.0% [155] 406(0.5%) 406(0.5%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------- for-loop [138] 100.0% [156] 396(0.5%) 202(0.2%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [167] 49.0% ------------------------------------------------------------------------- parse-lambda [145] 100.0% [157] 240(0.3%) 240(0.3%) simple-args? ...llects/racket/private/kw.rkt:306:2 ------------------------------------------------------------------------- make-multiplication-subnode [142]100.0% [158] 240(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 compose [162] 100.0% ------------------------------------------------------------------------- set-precompute! [146] 100.0% [159] 182(0.2%) 182(0.2%) make-sequence ...ects/racket/private/for.rkt:508:2 ------------------------------------------------------------------------- ??? [147] 100.0% [160] 8628(10.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [168] 100.0% ------------------------------------------------------------------------- ??? [147] 100.0% [161] 2972(3.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [169] 63.5% ??? [172] 36.5% ------------------------------------------------------------------------- for-loop [158] 28.8% for-loop [138] 71.2% [162] 834(1.0%) 834(1.0%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------- ??? [147] 100.0% [163] 650(0.8%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [169] 100.0% ------------------------------------------------------------------------- ??? [147] 100.0% [164] 470(0.6%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [172] 54.0% ??? [169] 46.0% ------------------------------------------------------------------------- custom-set-union [150] 100.0% [165] 440(0.5%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [170] 100.0% ------------------------------------------------------------------------- ??? [147] 100.0% [166] 222(0.3%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [174] 100.0% ------------------------------------------------------------------------- setfindf [156] 100.0% [167] 194(0.2%) 194(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ------------------------------------------------------------------------- loop [131] 0.9% bf* [160] 34.1% ??? [147] 65.0% [168] 25286(30.4%) 1804(2.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [171] 61.3% bfsqrt [173] 18.8% ??? [174] 12.9% ------------------------------------------------------------------------- ...higher-order.rkt:369:33 [164] 7.8% ...ow-val-first.rkt:357:18 [163] 23.6% ...higher-order.rkt:373:33 [161] 68.5% [169] 2752(3.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [172] 100.0% ------------------------------------------------------------------------- for-loop [165] 100.0% [170] 440(0.5%) 440(0.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------- ??? [168] 100.0% [171] 15490(18.6%) 11240(13.5%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [175] 27.4% ------------------------------------------------------------------------- ...higher-order.rkt:369:33 [164] 4.9% ...higher-order.rkt:373:33 [161] 20.7% ??? [136] 21.8% ??? [169] 52.6% [172] 5234(6.3%) 232(0.3%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [174] 95.6% ------------------------------------------------------------------------- ??? [168] 100.0% [173] 4742(5.7%) 3358(4.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [175] 29.2% ------------------------------------------------------------------------- bf<= [166] 2.5% ->flonum [139] 3.0% ??? [168] 37.2% ??? [172] 57.2% [174] 8740(10.5%) 3712(4.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [176] 55.0% ??? [177] 2.5% ------------------------------------------------------------------------- real->bigfloat [148] 15.2% bfsqrt [173] 20.8% bfsub [171] 64.0% [175] 6644(8.0%) 6644(8.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------- ??? [174] 100.0% [176] 4806(5.8%) 1726(2.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [178] 64.1% ------------------------------------------------------------------------- ??? [174] 100.0% [177] 222(0.3%) 222(0.3%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------------- ??? [176] 100.0% [178] 3080(3.7%) 3080(3.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------