Profiling results ----------------- Total cpu time observed: 18466ms (out of 18812ms) Number of samples taken: 58 (once every 318ms) =================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =================================================================== ??? [6] 100.0% [1] 18466(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ------------------------------------------------------------------- ??? [72] 100.0% [2] 344(1.9%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [5] 100.0% ------------------------------------------------------------------- substitute-e [68] 100.0% [3] 324(1.8%) 0(0.0%) variable? .../develop/src/syntax/syntax.rkt:1159:0 ??? [25] 100.0% ------------------------------------------------------------------- profile-thunk16 [1] 100.0% [4] 18466(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [6] 100.0% ------------------------------------------------------------------- approximate9 [2] 100.0% [5] 344(1.9%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 hash-ref! [63] 100.0% ------------------------------------------------------------------- for-loop [104] 2.8% run [4] 48.6% [6] 18466(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 48.6% run-improve40 [7] 31.8% prepare-points-intervals [8] 14.1% ??? [19] 2.8% errors [102] 1.1% oracle-error [9] 0.8% eval-errors [10] 0.8% ------------------------------------------------------------------- ??? [6] 100.0% [7] 12080(65.4%) 0(0.0%) run-improve40 ...ie/develop/src/mainloop.rkt:336:0 for-loop [11] 100.0% ------------------------------------------------------------------- ??? [6] 100.0% [8] 5214(28.2%) 0(0.0%) prepare-points-intervals ...p/src/points.rkt:133:0 loop [12] 100.0% ------------------------------------------------------------------- ??? [6] 100.0% [9] 288(1.6%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:212:0 for-loop [13] 100.0% ------------------------------------------------------------------- ??? [6] 100.0% [10] 288(1.6%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:203:0 for-loop [14] 100.0% ------------------------------------------------------------------- run-improve40 [7] 100.0% [11] 12080(65.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:351:4 run-iter! [15] 100.0% ------------------------------------------------------------------- prepare-points-intervals [8]100.0% [12] 5214(28.2%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:145:4 loop [16] 65.6% ??? [17] 34.4% ------------------------------------------------------------------- oracle-error [9] 100.0% [13] 288(1.6%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:213:2 loop [76] 100.0% ------------------------------------------------------------------- eval-errors [10] 100.0% [14] 288(1.6%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:205:2 ??? [19] 100.0% ------------------------------------------------------------------- for-loop [11] 100.0% [15] 12080(65.4%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:317:0 simplify! [18] 80.9% finalize-iter! [20] 10.8% gen-series! [21] 2.8% choose-best-alt! [22] 2.7% gen-rewrites! [23] 2.7% ------------------------------------------------------------------- loop [12] 100.0% [16] 3420(18.5%) 642(3.5%) loop ...htlies/herbie/develop/src/points.rkt:104:2 ??? [19] 72.2% ??? [72] 9.1% ------------------------------------------------------------------- loop [12] 100.0% [17] 1794(9.7%) 0(0.0%) ??? ...ghtlies/herbie/develop/src/points.rkt:129:2 ??? [72] 100.0% ------------------------------------------------------------------- run-iter! [15] 100.0% [18] 9774(52.9%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:213:0 ??? [24] 100.0% ------------------------------------------------------------------- for-loop [14] 6.3% loop [76] 6.3% ??? [6] 33.7% loop [16] 53.7% [19] 4594(24.9%) 898(4.9%) ??? ...tlies/herbie/develop/src/programs.rkt:146:2 ??? [72] 53.8% ??? [26] 26.6% ------------------------------------------------------------------- run-iter! [15] 100.0% [20] 1300(7.0%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:268:0 ??? [25] 100.0% ------------------------------------------------------------------- run-iter! [15] 100.0% [21] 344(1.9%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:149:0 for-loop [27] 100.0% ------------------------------------------------------------------- run-iter! [15] 100.0% [22] 332(1.8%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:107:0 ??? [25] 100.0% ------------------------------------------------------------------- run-iter! [15] 100.0% [23] 330(1.8%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:172:0 for-loop [28] 100.0% ------------------------------------------------------------------- simplify! [18] 100.0% [24] 9774(52.9%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:26:0 for-loop [29] 45.6% loop [30] 28.9% one-iter [36] 25.5% ------------------------------------------------------------------- variable? [3] 16.6% choose-best-alt! [22] 17.0% finalize-iter! [20] 66.5% [25] 1956(10.6%) 324(1.8%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [31] 66.5% ??? [34] 17.0% ------------------------------------------------------------------- ??? [19] 100.0% [26] 1224(6.6%) 0(0.0%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [32] 76.5% ??? [72] 23.5% ------------------------------------------------------------------- gen-series! [21] 100.0% [27] 344(1.9%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:156:7 taylor-alt [33] 100.0% ------------------------------------------------------------------- gen-rewrites! [23] 100.0% [28] 330(1.8%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:197:4 for-loop [35] 100.0% ------------------------------------------------------------------- ??? [24] 100.0% [29] 4456(24.1%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:33:2 one-iter [36] 100.0% ------------------------------------------------------------------- ??? [24] 100.0% [30] 2824(15.3%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:143:2 for-loop [37] 89.4% loop [42] 10.6% ------------------------------------------------------------------- ??? [25] 100.0% [31] 1300(7.0%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:56:2 atab-add-altn [38] 100.0% ------------------------------------------------------------------- ??? [26] 100.0% [32] 936(5.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ival-sub [39] 67.9% ival-div [43] 32.1% ------------------------------------------------------------------- for-loop [27] 100.0% [33] 344(1.9%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:135:0 for-loop [40] 100.0% ------------------------------------------------------------------- ??? [25] 100.0% [34] 332(1.8%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:59:0 ??? [72] 100.0% ------------------------------------------------------------------- for-loop [28] 100.0% [35] 330(1.8%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:198:6 change-apply [41] 100.0% ------------------------------------------------------------------- ??? [24] 35.9% for-loop [29] 64.1% [36] 6950(37.6%) 0(0.0%) one-iter ...bie/develop/src/core/simplify.rkt:86:0 find-matches [44] 50.6% for-loop [45] 49.4% ------------------------------------------------------------------- loop [30] 100.0% [37] 2524(13.7%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:149:4 loop [46] 37.9% for-loop [55] 25.5% for-loop [50] 12.8% expression-cost [54] 12.0% argmin [51] 11.8% ------------------------------------------------------------------- for-loop [31] 100.0% [38] 1300(7.0%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:202:0 errors [102] 73.5% best-and-tied-at-points [48] 26.5% ------------------------------------------------------------------- ??? [32] 100.0% [39] 636(3.4%) 0(0.0%) ival-sub ...rbie/develop/src/biginterval.rkt:102:0 bfsub [47] 100.0% ------------------------------------------------------------------- taylor-alt [33] 100.0% [40] 344(1.9%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:141:6 ??? [72] 100.0% ------------------------------------------------------------------- for-loop [35] 100.0% [41] 330(1.8%) 0(0.0%) change-apply .../develop/src/core/matcher.rkt:70:0 pattern-substitute [49] 100.0% ------------------------------------------------------------------- loop [30] 100.0% [42] 300(1.6%) 300(1.6%) loop .../racket-7.0/collects/racket/list.rkt:537:4 ------------------------------------------------------------------- ??? [32] 100.0% [43] 300(1.6%) 0(0.0%) ival-div ...rbie/develop/src/biginterval.rkt:150:0 bfsub [47] 100.0% ------------------------------------------------------------------- one-iter [36] 100.0% [44] 3520(19.1%) 0(0.0%) find-matches ...develop/src/core/simplify.rkt:56:0 for-loop [52] 100.0% ------------------------------------------------------------------- one-iter [36] 100.0% [45] 3430(18.6%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:95:2 loop [53] 91.0% update-leader! [73] 9.0% ------------------------------------------------------------------- for-loop [37] 100.0% [46] 956(5.2%) 0(0.0%) loop .../racket-7.0/collects/racket/list.rkt:751:4 expression-cost [54] 69.0% for-loop [55] 31.0% ------------------------------------------------------------------- ival-div [43] 32.1% ival-sub [39] 67.9% [47] 936(5.1%) 0(0.0%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:821:4 ??? [99] 100.0% ------------------------------------------------------------------- atab-add-altn [38] 100.0% [48] 344(1.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:117:0 for-loop [56] 100.0% ------------------------------------------------------------------- pattern-substitute [49] 50.0% change-apply [41] 50.0% [49] 330(1.8%) 0(0.0%) pattern-substitute ...op/src/core/matcher.rkt:46:0 pattern-substitute [49] 50.0% return/no-unsupplied [91] 50.0% ------------------------------------------------------------------- for-loop [37] 100.0% [50] 324(1.8%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:153:16 for-loop [57] 100.0% ------------------------------------------------------------------- for-loop [37] 100.0% [51] 298(1.6%) 0(0.0%) argmin ...acket-7.0/collects/racket/list.rkt:765:0 expression-cost [54] 100.0% ------------------------------------------------------------------- for-loop [52] 50.0% find-matches [44] 50.0% [52] 3520(19.1%) 634(3.4%) for-loop ...bie/develop/src/core/simplify.rkt:58:8 for-loop [52] 50.0% match-e [61] 41.0% ------------------------------------------------------------------- for-loop [45] 100.0% [53] 3122(16.9%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:100:4 apply-match [58] 100.0% ------------------------------------------------------------------- argmin [51] 23.7% for-loop [37] 24.0% loop [46] 52.4% [54] 1260(6.8%) 0(0.0%) expression-cost .../develop/src/programs.rkt:204:0 compile [59] 100.0% ------------------------------------------------------------------- loop [46] 31.5% for-loop [37] 68.5% [55] 940(5.1%) 334(1.8%) for-loop .../herbie/develop/src/programs.rkt:205:2 table-ref [60] 64.5% ------------------------------------------------------------------- best-and-tied-at-points [48]100.0% [56] 344(1.9%) 344(1.9%) for-loop .../develop/src/core/alt-table.rkt:119:16 ------------------------------------------------------------------- for-loop [50] 100.0% [57] 324(1.8%) 324(1.8%) for-loop ...e/develop/src/core/simplify.rkt:157:23 ------------------------------------------------------------------- loop [53] 100.0% [58] 3122(16.9%) 0(0.0%) apply-match .../develop/src/core/simplify.rkt:65:0 for-loop [62] 90.4% match-e [61] 9.6% ------------------------------------------------------------------- expression-cost [54] 100.0% [59] 1260(6.8%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:181:0 hash-ref! [63] 100.0% ------------------------------------------------------------------- for-loop [55] 100.0% [60] 606(3.3%) 0(0.0%) table-ref ...es/herbie/develop/src/common.rkt:42:0 for-loop [64] 100.0% ------------------------------------------------------------------- for-loop [79] 4.7% apply-match [58] 4.7% for-loop [52] 90.6% [61] 3186(17.3%) 336(1.8%) match-e ...herbie/develop/src/core/ematch.rkt:39:0 for-loop [65] 79.2% make-sequence [71] 10.2% ------------------------------------------------------------------- apply-match [58] 100.0% [62] 2822(15.3%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:78:2 merge-egraph-nodes! [66] 77.9% substitute-e [68] 22.1% ------------------------------------------------------------------- ??? [72] 10.7% loop [5] 10.7% ??? [67] 23.0% compile [59] 55.6% [63] 1604(8.7%) 958(5.2%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [67] 29.2% ??? [70] 10.7% taylor [69] 10.7% ------------------------------------------------------------------- table-ref [60] 100.0% [64] 606(3.3%) 606(3.3%) for-loop ...ies/herbie/develop/src/common.rkt:44:4 ------------------------------------------------------------------- match-e [61] 100.0% [65] 2524(13.7%) 1574(8.5%) for-loop ...rbie/develop/src/core/ematch.rkt:52:11 cartesian-product [74] 25.8% loop [76] 11.9% for-loop [79] 5.9% ------------------------------------------------------------------- for-loop [62] 100.0% [66] 2198(11.9%) 310(1.7%) merge-egraph-nodes! ...p/src/core/egraph.rkt:145:0 update-leader! [73] 70.8% enode-merge! [78] 15.1% ------------------------------------------------------------------- hash-ref! [63] 100.0% [67] 636(3.4%) 302(1.6%) ??? ...tlies/herbie/develop/src/programs.rkt:189:5 hash-ref! [63] 84.2% ------------------------------------------------------------------- for-loop [75] 34.6% for-loop [62] 65.4% [68] 624(3.4%) 0(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:64:0 for-loop [75] 82.7% variable? [3] 17.3% ------------------------------------------------------------------- hash-ref! [63] 100.0% [69] 344(1.9%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:170:0 taylor-invert [77] 100.0% ------------------------------------------------------------------- hash-ref! [63] 100.0% [70] 344(1.9%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:68:15 ??? [72] 100.0% ------------------------------------------------------------------- match-e [61] 100.0% [71] 326(1.8%) 326(1.8%) make-sequence ...ects/racket/private/for.rkt:528:2 ------------------------------------------------------------------- ??? [70] 2.2% location-do [85] 2.2% for-loop [40] 2.2% ??? [34] 3.2% ??? [26] 5.5% loop [16] 6.0% ??? [17] 34.4% ??? [19] 44.3% [72] 5208(28.2%) 1072(5.8%) ??? ...tract/private/arrow-higher-order.rkt:357:33 ->flonum [81] 32.1% sample-multi-bounded [82] 20.4% mk-ival [83] 11.6% loop [90] 5.5% best-alt [87] 3.2% location-do [85] 2.2% approximate9 [2] 2.2% hash-ref! [63] 2.2% ------------------------------------------------------------------- for-loop [45] 16.5% merge-egraph-nodes! [66] 83.5% [73] 1864(10.1%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:213:0 for-loop [80] 100.0% ------------------------------------------------------------------- for-loop [65] 100.0% [74] 650(3.5%) 650(3.5%) cartesian-product ...ollects/racket/list.rkt:822:0 ------------------------------------------------------------------- substitute-e [68] 100.0% [75] 624(3.4%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:73:24 substitute-e [68] 51.9% mk-enode! [89] 48.1% ------------------------------------------------------------------- for-loop [65] 17.0% loop [76] 34.0% for-loop [13] 49.0% [76] 588(3.2%) 0(0.0%) loop ...-7.0/collects/racket/private/map.rkt:40:19 ??? [19] 49.0% loop [76] 34.0% curried [88] 17.0% ------------------------------------------------------------------- taylor [69] 100.0% [77] 344(1.9%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:318:0 simplify [84] 100.0% ------------------------------------------------------------------- merge-egraph-nodes! [66] 100.0% [78] 332(1.8%) 0(0.0%) enode-merge! ...e/develop/src/core/enode.rkt:128:0 adopt-enode! [86] 100.0% ------------------------------------------------------------------- for-loop [65] 100.0% [79] 300(1.6%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:58:37 match-e [61] 100.0% ------------------------------------------------------------------- update-leader! [73] 100.0% [80] 1864(10.1%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:218:6 hash-update! [98] 66.1% for-loop [93] 33.9% ------------------------------------------------------------------- ??? [72] 100.0% [81] 1840(10.0%) 920(5.0%) ->flonum ...s/herbie/develop/src/programs.rkt:38:0 return/no-unsupplied [91] 34.3% ??? [97] 15.7% ------------------------------------------------------------------- ??? [72] 100.0% [82] 1060(5.7%) 0(0.0%) sample-multi-bounded ...evelop/src/points.rkt:16:0 for-loop [92] 64.0% return/no-unsupplied [91] 36.0% ------------------------------------------------------------------- ??? [72] 100.0% [83] 604(3.3%) 0(0.0%) mk-ival ...herbie/develop/src/biginterval.rkt:59:0 bf [94] 100.0% ------------------------------------------------------------------- taylor-invert [77] 100.0% [84] 344(1.9%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 debug-print [95] 100.0% ------------------------------------------------------------------- ??? [72] 100.0% [85] 344(1.9%) 0(0.0%) location-do ...rbie/develop/src/programs.rkt:111:0 ??? [72] 100.0% ------------------------------------------------------------------- enode-merge! [78] 100.0% [86] 332(1.8%) 332(1.8%) adopt-enode! ...e/develop/src/core/enode.rkt:104:0 ------------------------------------------------------------------- ??? [72] 100.0% [87] 332(1.8%) 0(0.0%) best-alt .../herbie/develop/src/mainloop.rkt:102:0 argmins [96] 100.0% ------------------------------------------------------------------- loop [76] 100.0% [88] 300(1.6%) 300(1.6%) curried ...-7.0/collects/racket/function.rkt:71:18 ------------------------------------------------------------------- for-loop [75] 100.0% [89] 300(1.6%) 300(1.6%) mk-enode! ...rbie/develop/src/core/egraph.rkt:99:0 ------------------------------------------------------------------- ??? [72] 100.0% [90] 288(1.6%) 288(1.6%) loop ...s/herbie/develop/src/biginterval.rkt:449:9 ------------------------------------------------------------------- pattern-substitute [49] 24.6% sample-multi-bounded [82] 28.4% ->flonum [81] 47.0% [91] 1344(7.3%) 1044(5.7%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [101] 22.3% ------------------------------------------------------------------- sample-multi-bounded [82] 100.0% [92] 678(3.7%) 678(3.7%) for-loop ...ies/herbie/develop/src/points.rkt:26:4 ------------------------------------------------------------------- for-loop [80] 100.0% [93] 632(3.4%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:219:8 hash-update! [98] 100.0% ------------------------------------------------------------------- mk-ival [83] 100.0% [94] 604(3.3%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 ??? [99] 100.0% ------------------------------------------------------------------- simplify [84] 100.0% [95] 344(1.9%) 344(1.9%) debug-print .../herbie/develop/src/debug.rkt:110:0 ------------------------------------------------------------------- best-alt [87] 100.0% [96] 332(1.8%) 0(0.0%) argmins ...lies/herbie/develop/src/common.rkt:93:0 ??? [100] 100.0% ------------------------------------------------------------------- ->flonum [81] 100.0% [97] 288(1.6%) 288(1.6%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 ------------------------------------------------------------------- for-loop [93] 33.9% for-loop [80] 66.1% [98] 1864(10.1%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [103] 100.0% ------------------------------------------------------------------- bf [94] 39.2% bfsub [47] 60.8% [99] 1540(8.3%) 1540(8.3%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 ------------------------------------------------------------------- argmins [96] 100.0% [100] 332(1.8%) 0(0.0%) ??? ...lies/herbie/develop/src/mainloop.rkt:104:19 errors [102] 100.0% ------------------------------------------------------------------- return/no-unsupplied [91] 100.0% [101] 300(1.6%) 300(1.6%) filter ...0/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------- ??? [100] 17.6% ??? [6] 31.6% atab-add-altn [38] 50.7% [102] 1884(10.2%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:228:0 for-loop [104] 100.0% ------------------------------------------------------------------- hash-update! [98] 100.0% [103] 1864(10.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:221:24 for-loop [105] 100.0% ------------------------------------------------------------------- errors [102] 100.0% [104] 1884(10.2%) 334(1.8%) for-loop ...es/herbie/develop/src/points.rkt:230:2 ??? [6] 82.3% ------------------------------------------------------------------- ??? [103] 100.0% [105] 1864(10.1%) 1566(8.5%) for-loop ...bie/develop/src/core/egraph.rkt:222:26 update-en-expr [106] 16.0% ------------------------------------------------------------------- for-loop [105] 100.0% [106] 298(1.6%) 298(1.6%) update-en-expr ...evelop/src/core/egraph.rkt:207:0 -------------------------------------------------------------------