Profiling results ----------------- Total cpu time observed: 140280ms (out of 140976ms) Number of samples taken: 447 (once every 314ms) (Hiding functions with self<1.0% and local<2.0%: 5 of 210 hidden) ============================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ============================================================================ ??? [28] 100.0% [1] 140280(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% ---------------------------------------------------------------------------- ??? [28] 100.0% [2] 132544(94.5%) 0(0.0%) run-improve39 ...ie/develop/src/mainloop.rkt:287:0 for-loop [16] 100.0% ---------------------------------------------------------------------------- map-enodes [102] 5.8% loop [145] 94.2% [3] 11026(7.9%) 296(0.2%) set-precompute! ...lop/src/core/simplify.rkt:140:0 for-loop [17] 97.3% ---------------------------------------------------------------------------- ??? [28] 100.0% [4] 6388(4.6%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:167:2 loop [30] 74.5% loop [22] 20.6% for-loop [27] 4.9% ---------------------------------------------------------------------------- ??? [78] 100.0% [5] 4934(3.5%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [19] 63.0% taylor [33] 24.6% for-loop [25] 12.4% ---------------------------------------------------------------------------- hash-ref! [160] 100.0% [6] 3396(2.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:300:23 for-loop [18] 100.0% ---------------------------------------------------------------------------- hash-ref! [160] 100.0% [7] 2134(1.5%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:416:23 for-loop [21] 100.0% ---------------------------------------------------------------------------- match-e [122] 100.0% [8] 1860(1.3%) 0(0.0%) variable? ...e/develop/src/syntax/syntax.rkt:715:0 ??? [46] 100.0% ---------------------------------------------------------------------------- loop [114] 39.1% for-loop [159] 60.9% [9] 1540(1.1%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [20] 100.0% ---------------------------------------------------------------------------- hash-ref! [160] 100.0% [10] 624(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:290:26 for-loop [23] 100.0% ---------------------------------------------------------------------------- hash-ref! [160] 100.0% [11] 624(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:519:23 for-loop [24] 100.0% ---------------------------------------------------------------------------- ??? [28] 100.0% [12] 328(0.2%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:227:0 for-loop [26] 100.0% ---------------------------------------------------------------------------- map [105] 100.0% [13] 302(0.2%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:50:0 gather-multiplicative-terms [121] 100.0% ---------------------------------------------------------------------------- hash-ref! [160] 100.0% [14] 296(0.2%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:153:5 loop [145] 100.0% ---------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [15] 140280(100.0%) 0(0.0%) run ...racket/share/pkgs/profile-lib/main.rkt:39:2 ??? [28] 100.0% ---------------------------------------------------------------------------- run-improve39 [2] 100.0% [16] 132544(94.5%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:304:10 run-iter! [29] 100.0% ---------------------------------------------------------------------------- set-precompute! [3] 100.0% [17] 10730(7.6%) 610(0.4%) for-loop ...ie/develop/src/core/simplify.rkt:142:2 update-leader! [146] 46.4% reduce-to-new! [31] 19.9% eval-const-expr [32] 14.4% setfindf [34] 13.6% ---------------------------------------------------------------------------- ??? [6] 100.0% [18] 3396(2.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:303:27 hash-ref! [160] 100.0% ---------------------------------------------------------------------------- approximate9 [5] 100.0% [19] 3108(2.2%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 ??? [78] 100.0% ---------------------------------------------------------------------------- expand-id-application-form17 [124] 13.9% gf [196] 14.5% syntax-e [9] 71.6% [20] 2152(1.5%) 0(0.0%) syntax-e/no-taint (unknown source) loop [114] 100.0% ---------------------------------------------------------------------------- ??? [7] 100.0% [21] 2134(1.5%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:420:33 hash-ref! [160] 100.0% ---------------------------------------------------------------------------- loop [4] 100.0% [22] 1314(0.9%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:125:2 make-exacts* [35] 51.3% loop [30] 48.7% ---------------------------------------------------------------------------- ??? [10] 100.0% [23] 624(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:290:52 hash-ref! [160] 75.8% simplify [85] 24.2% ---------------------------------------------------------------------------- ??? [11] 100.0% [24] 624(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:523:35 parse-loop14 [115] 100.0% ---------------------------------------------------------------------------- approximate9 [5] 100.0% [25] 612(0.4%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:30:18 taylor-exp [37] 50.0% taylor [33] 50.0% ---------------------------------------------------------------------------- oracle-error [12] 100.0% [26] 328(0.2%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:228:2 loop [145] 100.0% ---------------------------------------------------------------------------- loop [4] 100.0% [27] 312(0.2%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:182:19 for-loop [36] 100.0% ---------------------------------------------------------------------------- run [15] 50.0% [28] 140280(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 50.0% run-improve39 [2] 47.2% loop [4] 2.3% eval-errors [65] 0.2% oracle-error [12] 0.1% ---------------------------------------------------------------------------- for-loop [16] 100.0% [29] 132544(94.5%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:268:0 simplify! [38] 83.7% finalize-iter! [39] 11.2% gen-series! [40] 4.0% gen-rewrites! [41] 0.9% localize-error [44] 0.2% ---------------------------------------------------------------------------- loop [22] 11.8% loop [4] 88.2% [30] 5402(3.9%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:108:4 loop [145] 100.0% ---------------------------------------------------------------------------- for-loop [17] 100.0% [31] 2132(1.5%) 0(0.0%) reduce-to-new! ...evelop/src/core/egraph.rkt:337:0 merge-egraph-nodes! [135] 100.0% ---------------------------------------------------------------------------- for-loop [17] 100.0% [32] 1546(1.1%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:132:0 eval-prog [64] 100.0% ---------------------------------------------------------------------------- map [105] 4.5% taylor [33] 13.4% for-loop [25] 20.1% approximate9 [5] 62.0% [33] 1520(1.1%) 286(0.2%) taylor ...herbie/develop/src/core/taylor.rkt:169:0 loop [43] 61.1% taylor [33] 13.4% map [105] 4.5% debug-print [97] 2.2% ---------------------------------------------------------------------------- for-loop [17] 100.0% [34] 1464(1.0%) 260(0.2%) setfindf ...es/herbie/develop/src/common.rkt:163:0 for-loop [42] 82.2% ---------------------------------------------------------------------------- loop [22] 100.0% [35] 674(0.5%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:105:0 loop [145] 100.0% ---------------------------------------------------------------------------- for-loop [27] 100.0% [36] 312(0.2%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:159:4 ??? [78] 100.0% ---------------------------------------------------------------------------- for-loop [25] 100.0% [37] 306(0.2%) 0(0.0%) taylor-exp ...ie/develop/src/core/taylor.rkt:410:0 simplify [85] 100.0% ---------------------------------------------------------------------------- run-iter! [29] 100.0% [38] 110974(79.1%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:182:0 for-loop [45] 100.0% ---------------------------------------------------------------------------- run-iter! [29] 100.0% [39] 14818(10.6%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:222:0 ??? [46] 100.0% ---------------------------------------------------------------------------- run-iter! [29] 100.0% [40] 5236(3.7%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:152:0 for-loop [47] 100.0% ---------------------------------------------------------------------------- run-iter! [29] 100.0% [41] 1214(0.9%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:165:0 for-loop [48] 100.0% ---------------------------------------------------------------------------- setfindf [34] 100.0% [42] 1204(0.9%) 870(0.6%) for-loop ...es/herbie/develop/src/common.rkt:164:2 ??? [46] 27.7% ---------------------------------------------------------------------------- taylor [33] 100.0% [43] 928(0.7%) 0(0.0%) loop ...s/herbie/develop/src/core/taylor.rkt:267:2 hash-ref! [160] 100.0% ---------------------------------------------------------------------------- run-iter! [29] 100.0% [44] 302(0.2%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:51:0 hash-ref! [160] 100.0% ---------------------------------------------------------------------------- simplify! [38] 100.0% [45] 110974(79.1%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:186:6 for-loop [49] 99.4% debug-print [97] 0.6% ---------------------------------------------------------------------------- substitute-e [137] 1.6% for-loop [42] 1.8% match-e [122] 8.3% variable? [8] 9.9% finalize-iter! [39] 78.5% [46] 18880(13.5%) 4062(2.9%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [50] 78.5% ---------------------------------------------------------------------------- gen-series! [40] 100.0% [47] 5236(3.7%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:158:7 taylor-alt [51] 100.0% ---------------------------------------------------------------------------- gen-rewrites! [41] 100.0% [48] 1214(0.9%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:170:11 ??? [52] 100.0% ---------------------------------------------------------------------------- for-loop [45] 100.0% [49] 110338(78.7%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:210:8 ??? [78] 100.0% ---------------------------------------------------------------------------- ??? [46] 100.0% [50] 14818(10.6%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [53] 93.6% loop [56] 6.4% ---------------------------------------------------------------------------- for-loop [47] 100.0% [51] 5236(3.7%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:137:0 for-loop [54] 100.0% ---------------------------------------------------------------------------- for-loop [48] 100.0% [52] 1214(0.9%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:54:0 rewriter [55] 100.0% ---------------------------------------------------------------------------- for-loop [50] 100.0% [53] 13870(9.9%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:210:0 override-at-pnts [57] 55.7% best-and-tied-at-points [58] 42.1% append-at-pnts [62] 2.2% ---------------------------------------------------------------------------- taylor-alt [51] 100.0% [54] 5236(3.7%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:143:6 ??? [78] 100.0% ---------------------------------------------------------------------------- ??? [52] 29.2% matcher [66] 70.8% [55] 1214(0.9%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [59] 79.7% *rules* [60] 20.3% ---------------------------------------------------------------------------- for-loop [50] 100.0% [56] 948(0.7%) 0(0.0%) loop ...erbie/develop/src/core/alt-table.rkt:184:2 loop [61] 36.7% map [105] 31.9% loop [63] 31.4% ---------------------------------------------------------------------------- atab-add-altn [53] 100.0% [57] 7720(5.5%) 302(0.2%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 eval-errors [65] 52.6% eval-prog [64] 35.7% for-loop [68] 7.8% ---------------------------------------------------------------------------- atab-add-altn [53] 100.0% [58] 5844(4.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 eval-prog [64] 58.6% eval-errors [65] 41.4% ---------------------------------------------------------------------------- rewriter [55] 100.0% [59] 1214(0.9%) 322(0.2%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [66] 91.2% ---------------------------------------------------------------------------- rewriter [55] 100.0% [60] 892(0.6%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:643:0 for-loop [67] 100.0% ---------------------------------------------------------------------------- loop [56] 100.0% [61] 348(0.2%) 348(0.2%) loop ...cket/collects/racket/private/hash.rkt:20:4 ---------------------------------------------------------------------------- atab-add-altn [53] 100.0% [62] 306(0.2%) 306(0.2%) append-at-pnts ...lop/src/core/alt-table.rkt:154:0 ---------------------------------------------------------------------------- loop [56] 3.0% loop [63] 97.0% [63] 298(0.2%) 298(0.2%) loop ...p92/racket/collects/racket/list.rkt:434:28 loop [63] 97.0% ---------------------------------------------------------------------------- eval-const-expr [32] 20.0% override-at-pnts [57] 35.7% best-and-tied-at-points [58] 44.3% [64] 7728(5.5%) 0(0.0%) eval-prog ...herbie/develop/src/programs.rkt:109:0 temp68_2 [69] 64.2% eval [125] 16.3% loop [114] 11.7% eval-one-top12 [73] 4.0% hash-ref! [160] 3.8% ---------------------------------------------------------------------------- ??? [28] 8.6% best-and-tied-at-points [58] 34.1% override-at-pnts [57] 57.2% [65] 7090(5.1%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:208:0 for-loop [70] 100.0% ---------------------------------------------------------------------------- for-loop [71] 50.0% for-loop [59] 50.0% [66] 1214(0.9%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:168:2 for-loop [71] 50.0% rewriter [55] 50.0% ---------------------------------------------------------------------------- *rules* [60] 100.0% [67] 892(0.6%) 0(0.0%) for-loop ...ies/herbie/develop/src/common.rkt:79:9 ormap [72] 100.0% ---------------------------------------------------------------------------- override-at-pnts [57] 100.0% [68] 602(0.4%) 602(0.4%) for-loop .../develop/src/core/alt-table.rkt:146:43 ---------------------------------------------------------------------------- f67 [98] 3.8% parse-loop14 [115] 34.4% eval-prog [64] 61.9% [69] 8018(5.7%) 0(0.0%) temp68_2 (unknown source) compile16 [75] 100.0% ---------------------------------------------------------------------------- eval-errors [65] 100.0% [70] 7090(5.1%) 1800(1.3%) for-loop ...es/herbie/develop/src/points.rkt:210:2 ??? [74] 53.1% ??? [78] 13.0% ulp-difference [77] 8.5% ---------------------------------------------------------------------------- matcher [66] 100.0% [71] 1214(0.9%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:184:21 matcher [66] 100.0% ---------------------------------------------------------------------------- for-loop [67] 100.0% [72] 892(0.6%) 288(0.2%) ormap ...et/collects/racket/private/map.rkt:141:13 flag-set? [76] 67.7% ---------------------------------------------------------------------------- eval-prog [64] 100.0% [73] 308(0.2%) 308(0.2%) eval-one-top12 (unknown source) ---------------------------------------------------------------------------- ??? [167] 3.2% for-loop [70] 37.0% loop [145] 59.7% [74] 10172(7.3%) 730(0.5%) ??? ...tlies/herbie/develop/src/programs.rkt:129:2 ??? [80] 66.9% ??? [78] 21.6% bf [81] 4.3% ---------------------------------------------------------------------------- temp68_2 [69] 100.0% [75] 8018(5.7%) 0(0.0%) compile16 (unknown source) temp74_0 [79] 100.0% ---------------------------------------------------------------------------- ormap [72] 100.0% [76] 604(0.4%) 300(0.2%) flag-set? ...es/herbie/develop/src/config.rkt:31:0 return/no-unsupplied [99] 50.3% ---------------------------------------------------------------------------- for-loop [70] 100.0% [77] 602(0.4%) 300(0.2%) ulp-difference ...erbie/develop/src/float.rkt:19:0 return/no-unsupplied [99] 50.2% ---------------------------------------------------------------------------- map [105] 0.3% for-loop [36] 0.3% for-loop [70] 0.8% loop [19] 0.9% for-loop [54] 1.8% ??? [74] 1.8% for-loop [49] 46.2% location-do [82] 48.0% [78] 119308(85.0%) 612(0.4%) ??? ...tract/private/arrow-higher-order.rkt:357:33 location-do [82] 48.0% ??? [83] 46.2% ->flonum [87] 2.6% approximate9 [5] 1.6% hash-ref! [160] 0.9% simplify [85] 0.1% ---------------------------------------------------------------------------- compile16 [75] 100.0% [79] 8018(5.7%) 0(0.0%) temp74_0 (unknown source) expand-single [84] 77.5% compile-top9 [88] 22.5% ---------------------------------------------------------------------------- ??? [74] 100.0% [80] 6808(4.9%) 334(0.2%) ??? ...acket/collects/racket/private/kw.rkt:592:14 ??? [86] 67.3% ??? [89] 18.4% ...higher-order.rkt:361:33 [90] 9.4% ---------------------------------------------------------------------------- ??? [74] 100.0% [81] 434(0.3%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [104] 100.0% ---------------------------------------------------------------------------- ??? [78] 34.7% location-do [82] 65.3% [82] 115574(82.4%) 0(0.0%) location-do ...erbie/develop/src/programs.rkt:90:0 location-do [82] 65.3% ??? [78] 34.7% ---------------------------------------------------------------------------- ??? [78] 100.0% [83] 110338(78.7%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:31:0 iterate-egraph!7 [91] 98.4% loop [95] 1.4% debug-print [97] 0.3% ---------------------------------------------------------------------------- temp74_0 [79] 100.0% [84] 6210(4.4%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [92] 100.0% ---------------------------------------------------------------------------- for-loop [23] 6.5% ??? [78] 6.5% taylor-exp [37] 6.6% hash-ref! [160] 80.4% [85] 4644(3.3%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 parse-loop14 [115] 80.4% f67 [98] 19.6% ---------------------------------------------------------------------------- ??? [80] 100.0% [86] 4582(3.3%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfdiv [93] 100.0% ---------------------------------------------------------------------------- ??? [78] 100.0% [87] 3122(2.2%) 1532(1.1%) ->flonum ...s/herbie/develop/src/programs.rkt:36:0 ??? [94] 39.8% return/no-unsupplied [99] 11.1% ---------------------------------------------------------------------------- temp74_0 [79] 100.0% [88] 1808(1.3%) 300(0.2%) compile-top9 (unknown source) compile-forms31 [96] 83.4% ---------------------------------------------------------------------------- ??? [80] 100.0% [89] 1252(0.9%) 952(0.7%) ??? ...herbie/develop/src/syntax/syntax.rkt:197:17 ??? [94] 24.0% ---------------------------------------------------------------------------- ??? [80] 100.0% [90] 640(0.5%) 332(0.2%) ...higher-order.rkt:361:33 (unknown source) ??? [100] 48.1% ---------------------------------------------------------------------------- ??? [83] 100.0% [91] 108518(77.4%) 312(0.2%) iterate-egraph!7 ...lop/src/core/simplify.rkt:55:0 one-iter [101] 89.6% map-enodes [102] 10.2% ---------------------------------------------------------------------------- loop [114] 12.8% expand-single [84] 87.2% [92] 7118(5.1%) 302(0.2%) expand-capturing-lifts (unknown source) lambda-clause-expander [103] 61.2% for-loop [159] 13.3% dispatch-transformer41 [176] 12.8% expand-implicit [111] 4.2% expand-id-application-form17 [124] 4.2% ---------------------------------------------------------------------------- ??? [86] 100.0% [93] 4582(3.3%) 404(0.3%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [104] 74.1% ??? [107] 17.1% ---------------------------------------------------------------------------- ??? [89] 19.4% ->flonum [87] 80.6% [94] 1544(1.1%) 1544(1.1%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 ---------------------------------------------------------------------------- ??? [83] 100.0% [95] 1520(1.1%) 304(0.2%) loop ...herbie/develop/src/core/simplify.rkt:184:2 for-loop [106] 80.0% ---------------------------------------------------------------------------- compile-top9 [88] 100.0% [96] 1508(1.1%) 300(0.2%) compile-forms31 (unknown source) for-loop [159] 60.2% loop! [110] 19.9% ---------------------------------------------------------------------------- ??? [83] 24.2% taylor [33] 24.6% for-loop [45] 51.2% [97] 1242(0.9%) 300(0.2%) debug-print .../herbie/develop/src/debug.rkt:107:0 ??? [108] 49.0% for-loop [109] 26.9% ---------------------------------------------------------------------------- map [105] 16.3% parse-loop14 [115] 26.5% simplify [85] 57.2% [98] 1238(0.9%) 0(0.0%) f67 ...t/collects/racket/match/compiler.rkt:507:40 map [105] 75.6% temp68_2 [69] 24.4% ---------------------------------------------------------------------------- ulp-difference [77] 31.7% flag-set? [76] 31.9% ->flonum [87] 36.3% [99] 952(0.7%) 952(0.7%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ---------------------------------------------------------------------------- ...higher-order.rkt:361:33 [90] 100.0% [100] 308(0.2%) 308(0.2%) ??? ...cts/racket/contract/private/list.rkt:209:10 ---------------------------------------------------------------------------- iterate-egraph!7 [91] 100.0% [101] 97180(69.3%) 1960(1.4%) one-iter ...bie/develop/src/core/simplify.rkt:66:0 for-loop [112] 57.6% for-loop [113] 40.1% ---------------------------------------------------------------------------- iterate-egraph!7 [91] 100.0% [102] 11026(7.9%) 0(0.0%) map-enodes ...ie/develop/src/core/egraph.rkt:140:0 loop [145] 94.2% set-precompute! [3] 5.8% ---------------------------------------------------------------------------- expand-capturing-lifts [92] 100.0% [103] 4358(3.1%) 300(0.2%) lambda-clause-expander (unknown source) finish-bodys [116] 79.3% loop [114] 13.8% ---------------------------------------------------------------------------- bf [81] 11.3% bfdiv [93] 88.7% [104] 3828(2.7%) 3828(2.7%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ---------------------------------------------------------------------------- gather-multiplicative-terms [121] 4.1% loop [56] 16.4% loop [145] 16.4% taylor [33] 16.6% f67 [98] 46.6% [105] 1846(1.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:35:13 ??? [119] 17.8% parse-loop14 [115] 16.6% taylor [33] 16.6% ??? [78] 16.4% loop [145] 16.4% f67 [98] 8.2% simplify-node [13] 4.1% gather-multiplicative-terms [121] 4.1% ---------------------------------------------------------------------------- loop [95] 100.0% [106] 1216(0.9%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:177:29 argmin [117] 50.5% for-loop [120] 24.8% make-sequence [150] 24.7% ---------------------------------------------------------------------------- bfdiv [93] 100.0% [107] 784(0.6%) 784(0.6%) ??? /home/p92/racket/collects/ffi/unsafe.rkt:898:4 ---------------------------------------------------------------------------- debug-print [97] 100.0% [108] 608(0.4%) 608(0.4%) ??? .../contract/private/arrow-val-first.rkt:428:3 ---------------------------------------------------------------------------- debug-print [97] 100.0% [109] 334(0.2%) 0(0.0%) for-loop ...ies/herbie/develop/src/debug.rkt:115:2 write-proc [118] 100.0% ---------------------------------------------------------------------------- compile-forms31 [96] 100.0% [110] 300(0.2%) 300(0.2%) loop! (unknown source) ---------------------------------------------------------------------------- expand-capturing-lifts [92] 100.0% [111] 300(0.2%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [136] 100.0% ---------------------------------------------------------------------------- one-iter [101] 100.0% [112] 55978(39.9%) 1226(0.9%) for-loop ...ie/develop/src/core/simplify.rkt:113:2 for-loop [123] 63.8% match-e [122] 20.1% update-leader! [146] 8.8% set [174] 2.8% custom-set-intersect [126] 1.1% reduce-to-single! [133] 0.5% ---------------------------------------------------------------------------- for-loop [113] 48.8% one-iter [101] 51.2% [113] 38932(27.8%) 11070(7.9%) for-loop ...ie/develop/src/core/simplify.rkt:76:12 for-loop [113] 48.8% match-e [122] 35.8% ---------------------------------------------------------------------------- datum->syntax6 [139] 1.1% syntax->list [205] 4.0% lambda-clause-expander [103] 4.0% loop [114] 5.6% gf [196] 6.1% eval-prog [64] 15.1% syntax-e/no-taint [20] 29.0% for-loop [159] 35.2% [114] 4990(3.6%) 636(0.5%) loop (unknown source) expand-id-application-form17 [124] 35.2% gf [196] 29.0% expand-capturing-lifts [92] 15.1% loop [114] 5.6% dispatch-transformer41 [176] 4.0% syntax-e [9] 4.0% ---------------------------------------------------------------------------- loop [145] 2.9% hash-ref! [160] 6.5% map [105] 6.6% for-loop [24] 10.0% parse-loop14 [115] 36.9% simplify [85] 37.1% [115] 4644(3.3%) 300(0.2%) parse-loop14 ...s/racket/match/compiler.rkt:418:15 parse-loop14 [115] 36.9% temp68_2 [69] 24.8% for-loop [127] 10.0% loop [145] 9.4% eval [125] 7.2% eval4 [129] 3.5% f67 [98] 1.8% ---------------------------------------------------------------------------- lambda-clause-expander [103] 13.0% for-loop [159] 87.0% [116] 3456(2.5%) 0(0.0%) finish-bodys (unknown source) for-loop [159] 100.0% ---------------------------------------------------------------------------- for-loop [106] 100.0% [117] 614(0.4%) 0(0.0%) argmin ...92/racket/collects/racket/list.rkt:765:0 for-loop [130] 50.2% expression-cost [131] 49.8% ---------------------------------------------------------------------------- for-loop [109] 100.0% [118] 334(0.2%) 334(0.2%) write-proc ...bie/develop/src/alternative.rkt:20:9 ---------------------------------------------------------------------------- map [105] 100.0% [119] 328(0.2%) 0(0.0%) ??? ...ies/herbie/develop/src/core/reduce.rkt:61:5 for-loop [128] 100.0% ---------------------------------------------------------------------------- for-loop [106] 100.0% [120] 302(0.2%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:164:13 for-loop [132] 100.0% ---------------------------------------------------------------------------- map [105] 50.0% simplify-node [13] 50.0% [121] 302(0.2%) 302(0.2%) gather-multiplicative-terms ...re/reduce.rkt:116:0 map [105] 50.0% ---------------------------------------------------------------------------- for-loop [147] 19.1% for-loop [112] 20.1% for-loop [113] 60.8% [122] 39140(27.9%) 11182(8.0%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [134] 67.6% make-sequence [150] 3.1% variable? [8] 1.6% ??? [46] 1.5% ---------------------------------------------------------------------------- for-loop [112] 100.0% [123] 35716(25.5%) 298(0.2%) for-loop ...bie/develop/src/core/simplify.rkt:98:4 merge-egraph-nodes! [135] 47.5% loop! [158] 38.8% mk-enode! [161] 7.8% substitute-e [137] 5.2% ---------------------------------------------------------------------------- expand-capturing-lifts [92] 13.4% loop [114] 86.6% [124] 2202(1.6%) 296(0.2%) expand-id-application-form17 (unknown source) resolve+shift28 [136] 72.9% syntax-e/no-taint [20] 13.6% ---------------------------------------------------------------------------- parse-loop14 [115] 21.0% eval-prog [64] 79.0% [125] 1590(1.1%) 636(0.5%) eval (unknown source) datum->syntax6 [139] 21.0% namespace-syntax-introduce3 [142] 19.5% add-ns-scopes [141] 19.5% ---------------------------------------------------------------------------- for-loop [112] 100.0% [126] 630(0.4%) 0(0.0%) custom-set-intersect ...rivate/set-types.rkt:195:0 for-loop [138] 100.0% ---------------------------------------------------------------------------- parse-loop14 [115] 100.0% [127] 624(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:526:59 hash-ref! [160] 100.0% ---------------------------------------------------------------------------- ??? [119] 100.0% [128] 328(0.2%) 0(0.0%) for-loop ...erbie/develop/src/core/reduce.rkt:62:7 pattern-match [140] 100.0% ---------------------------------------------------------------------------- parse-loop14 [115] 100.0% [129] 322(0.2%) 322(0.2%) eval4 (unknown source) ---------------------------------------------------------------------------- argmin [117] 100.0% [130] 308(0.2%) 0(0.0%) for-loop .../herbie/develop/src/programs.rkt:169:2 table-ref [194] 100.0% ---------------------------------------------------------------------------- argmin [117] 100.0% [131] 306(0.2%) 0(0.0%) expression-cost .../develop/src/programs.rkt:168:0 compile [143] 100.0% ---------------------------------------------------------------------------- for-loop [120] 100.0% [132] 302(0.2%) 302(0.2%) for-loop ...e/develop/src/core/simplify.rkt:167:37 ---------------------------------------------------------------------------- for-loop [112] 100.0% [133] 302(0.2%) 0(0.0%) reduce-to-single! ...lop/src/core/egraph.rkt:325:0 for-loop [144] 100.0% ---------------------------------------------------------------------------- match-e [122] 100.0% [134] 28912(20.6%) 12630(9.0%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [147] 43.4% list-cartesian-product [149] 11.9% foldl [162] 4.6% loop [145] 2.9% curry* [156] 0.5% ---------------------------------------------------------------------------- for-loop [148] 10.0% reduce-to-new! [31] 11.2% for-loop [123] 78.8% [135] 19084(13.6%) 610(0.4%) merge-egraph-nodes! ...p/src/core/egraph.rkt:153:0 update-leader! [146] 69.0% for-loop [148] 20.5% enode-merge! [152] 6.6% make-sequence [150] 1.6% ---------------------------------------------------------------------------- expand-implicit [111] 13.5% free-identifier=? [155] 14.0% expand-id-application-form17 [124] 72.5% [136] 2216(1.6%) 610(0.4%) resolve+shift28 (unknown source) fallback-loop [151] 72.5% ---------------------------------------------------------------------------- for-loop [153] 10.9% for-loop [123] 89.1% [137] 1840(1.3%) 616(0.4%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 for-loop [153] 61.1% ??? [46] 5.4% ---------------------------------------------------------------------------- custom-set-intersect [126] 100.0% [138] 630(0.4%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:207:3 for-loop [154] 100.0% ---------------------------------------------------------------------------- eval [125] 100.0% [139] 334(0.2%) 0(0.0%) datum->syntax6 (unknown source) loop [114] 100.0% ---------------------------------------------------------------------------- for-loop [128] 100.0% [140] 328(0.2%) 328(0.2%) pattern-match ...develop/src/core/matcher.rkt:48:0 ---------------------------------------------------------------------------- eval [125] 100.0% [141] 310(0.2%) 310(0.2%) add-ns-scopes (unknown source) ---------------------------------------------------------------------------- eval [125] 100.0% [142] 310(0.2%) 0(0.0%) namespace-syntax-introduce3 (unknown source) free-identifier=? [155] 100.0% ---------------------------------------------------------------------------- expression-cost [131] 100.0% [143] 306(0.2%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:145:0 hash-ref! [160] 100.0% ---------------------------------------------------------------------------- reduce-to-single! [133] 100.0% [144] 302(0.2%) 302(0.2%) for-loop ...rbie/develop/src/core/egraph.rkt:326:8 ---------------------------------------------------------------------------- make-exacts* [35] 0.0% loop [30] 0.0% map [105] 0.1% ??? [14] 1.0% for-loop [26] 1.1% for-loop [134] 1.8% parse-loop14 [115] 2.1% loop! [158] 6.6% map-enodes [102] 8.2% loop [145] 78.9% [145] 28742(20.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:40:19 loop [145] 78.9% set-precompute! [3] 8.2% loop! [158] 6.6% parse-loop14 [115] 2.1% ??? [167] 1.1% hash-ref! [160] 1.1% foldl [162] 0.9% ??? [170] 0.1% ??? [74] 0.0% map [105] 0.0% ---------------------------------------------------------------------------- for-loop [112] 20.3% for-loop [17] 20.4% merge-egraph-nodes! [135] 59.3% [146] 24378(17.4%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:218:0 for-loop [157] 92.5% for-loop [164] 6.3% ---------------------------------------------------------------------------- for-loop [134] 100.0% [147] 16398(11.7%) 914(0.7%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [122] 84.0% ??? [163] 10.5% ---------------------------------------------------------------------------- merge-egraph-nodes! [135] 100.0% [148] 5258(3.7%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:201:10 merge-egraph-nodes! [135] 62.1% loop! [158] 37.9% ---------------------------------------------------------------------------- list-cartesian-product [149] 13.5% for-loop [134] 86.5% [149] 4646(3.3%) 3130(2.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [165] 26.0% list-cartesian-product [149] 13.5% ---------------------------------------------------------------------------- merge-egraph-nodes! [135] 13.9% for-loop [106] 14.1% match-e [122] 72.0% [150] 2128(1.5%) 1828(1.3%) make-sequence ...ects/racket/private/for.rkt:528:2 ??? [171] 14.1% ---------------------------------------------------------------------------- resolve+shift28 [136] 100.0% [151] 1606(1.1%) 334(0.2%) fallback-loop (unknown source) for-loop [159] 79.2% ---------------------------------------------------------------------------- merge-egraph-nodes! [135] 100.0% [152] 1254(0.9%) 314(0.2%) enode-merge! ...e/develop/src/core/enode.rkt:127:0 adopt-enode! [166] 50.1% custom-set-intersect! [168] 24.9% ---------------------------------------------------------------------------- substitute-e [137] 100.0% [153] 1224(0.9%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:80:24 mk-enode! [161] 75.5% substitute-e [137] 24.5% ---------------------------------------------------------------------------- for-loop [138] 100.0% [154] 630(0.4%) 630(0.4%) for-loop ...cts/racket/private/set-types.rkt:201:4 ---------------------------------------------------------------------------- namespace-syntax-introduce3 [142] 100.0% [155] 310(0.2%) 0(0.0%) free-identifier=? (unknown source) resolve+shift28 [136] 100.0% ---------------------------------------------------------------------------- for-loop [134] 100.0% [156] 302(0.2%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [169] 100.0% ---------------------------------------------------------------------------- update-leader! [146] 100.0% [157] 22550(16.1%) 296(0.2%) for-loop ...rbie/develop/src/core/egraph.rkt:223:6 for-loop [172] 98.7% ---------------------------------------------------------------------------- for-loop [148] 9.2% loop [145] 30.5% for-loop [123] 60.4% [158] 16308(11.6%) 2460(1.8%) loop! ...s/herbie/develop/src/core/enode.rkt:190:2 custom-set-union [173] 41.4% loop [145] 30.5% set [174] 15.9% update-en-expr [200] 3.7% ---------------------------------------------------------------------------- fallback-loop [151] 2.9% for-loop [159] 6.6% expand-capturing-lifts [92] 15.0% compile-forms31 [96] 17.1% finish-bodys [116] 58.5% [159] 5312(3.8%) 2798(2.0%) for-loop (unknown source) finish-bodys [116] 51.0% dispatch-transformer41 [176] 13.0% for-loop [159] 6.6% loop [114] 3.8% syntax-e [9] 1.9% ---------------------------------------------------------------------------- eval-prog [64] 1.0% for-loop [23] 2.0% for-loop [127] 2.0% localize-error [44] 2.0% ??? [179] 3.6% compile [143] 6.2% loop [43] 7.2% loop [145] 9.1% for-loop [21] 9.2% ??? [175] 14.3% ??? [78] 20.4% for-loop [18] 23.0% [160] 4940(3.5%) 602(0.4%) hash-ref! .../racket/private/more-scheme.rkt:376:2 simplify [85] 26.8% ??? [6] 23.0% ??? [175] 14.3% ??? [7] 9.2% parse-loop14 [115] 6.1% ??? [14] 5.0% ??? [179] 3.6% ??? [10] 2.8% ??? [11] 2.0% ---------------------------------------------------------------------------- for-loop [153] 24.9% for-loop [123] 75.1% [161] 3708(2.6%) 1540(1.1%) mk-enode! ...bie/develop/src/core/egraph.rkt:102:0 new-enode [180] 24.6% for-loop [181] 17.0% hash-has-key? [182] 16.8% ---------------------------------------------------------------------------- loop [145] 28.0% for-loop [134] 72.0% [162] 2066(1.5%) 870(0.6%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [177] 57.9% ---------------------------------------------------------------------------- for-loop [147] 100.0% [163] 1884(1.3%) 914(0.7%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 for-loop [178] 51.5% ---------------------------------------------------------------------------- update-leader! [146] 100.0% [164] 1528(1.1%) 920(0.7%) for-loop ...rbie/develop/src/core/egraph.rkt:233:6 update-en-expr [200] 39.8% ---------------------------------------------------------------------------- list-cartesian-product [149] 100.0% [165] 1516(1.1%) 1516(1.1%) for-loop ...erbie/develop/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------------- enode-merge! [152] 100.0% [166] 628(0.4%) 304(0.2%) adopt-enode! ...e/develop/src/core/enode.rkt:103:0 custom-set-union [173] 51.6% ---------------------------------------------------------------------------- loop [145] 100.0% [167] 328(0.2%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:229:26 ??? [74] 100.0% ---------------------------------------------------------------------------- enode-merge! [152] 100.0% [168] 312(0.2%) 312(0.2%) custom-set-intersect! ...ivate/set-types.rkt:269:0 ---------------------------------------------------------------------------- curry* [156] 100.0% [169] 302(0.2%) 302(0.2%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ---------------------------------------------------------------------------- loop [145] 100.0% [170] 302(0.2%) 0(0.0%) ??? ...erbie/develop/src/core/alt-table.rkt:201:30 loop [183] 100.0% ---------------------------------------------------------------------------- make-sequence [150] 100.0% [171] 300(0.2%) 300(0.2%) ??? ...acket/collects/racket/private/for.rkt:448:7 ---------------------------------------------------------------------------- for-loop [157] 100.0% [172] 22254(15.9%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:224:8 hash-update! [184] 100.0% ---------------------------------------------------------------------------- adopt-enode! [166] 4.0% loop! [158] 96.0% [173] 8180(5.8%) 2156(1.5%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [185] 66.0% for-loop [188] 7.7% ---------------------------------------------------------------------------- for-loop [112] 25.3% loop! [158] 74.7% [174] 6274(4.5%) 5636(4.0%) set ...collects/racket/private/set-types.rkt:981:0 for-loop [187] 10.2% ---------------------------------------------------------------------------- hash-ref! [160] 100.0% [175] 2808(2.0%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:45:15 hash-ref! [160] 100.0% ---------------------------------------------------------------------------- loop [114] 24.5% expand-capturing-lifts [92] 37.2% for-loop [159] 38.3% [176] 2458(1.8%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [186] 100.0% ---------------------------------------------------------------------------- foldl [162] 100.0% [177] 1196(0.9%) 1196(0.9%) merge2 .../herbie/develop/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------------- ??? [163] 100.0% [178] 970(0.7%) 970(0.7%) for-loop ...erbie/develop/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------------- hash-ref! [160] 100.0% [179] 958(0.7%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:327:33 hash-ref! [160] 100.0% ---------------------------------------------------------------------------- mk-enode! [161] 100.0% [180] 914(0.7%) 334(0.2%) new-enode ...erbie/develop/src/core/enode.rkt:95:0 type-of-enode-expr [189] 63.5% ---------------------------------------------------------------------------- mk-enode! [161] 100.0% [181] 632(0.5%) 632(0.5%) for-loop ...bie/develop/src/core/egraph.rkt:114:10 ---------------------------------------------------------------------------- mk-enode! [161] 100.0% [182] 622(0.4%) 622(0.4%) hash-has-key? ...ket/private/more-scheme.rkt:371:2 ---------------------------------------------------------------------------- loop [183] 50.0% ??? [170] 50.0% [183] 302(0.2%) 302(0.2%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [183] 50.0% ---------------------------------------------------------------------------- for-loop [172] 100.0% [184] 22254(15.9%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [190] 100.0% ---------------------------------------------------------------------------- custom-set-union [173] 100.0% [185] 5396(3.8%) 1486(1.1%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [191] 72.5% ---------------------------------------------------------------------------- dispatch-transformer41 [176] 100.0% [186] 2458(1.8%) 642(0.5%) apply-transformer52 (unknown source) apply-transformer-in-context [192] 48.9% apply-post-expansion [193] 25.0% ---------------------------------------------------------------------------- set [174] 100.0% [187] 638(0.5%) 638(0.5%) for-loop ...cts/racket/private/set-types.rkt:937:4 ---------------------------------------------------------------------------- custom-set-union [173] 100.0% [188] 628(0.4%) 628(0.4%) for-loop ...cts/racket/private/set-types.rkt:152:2 ---------------------------------------------------------------------------- new-enode [180] 100.0% [189] 580(0.4%) 300(0.2%) type-of-enode-expr ...elop/src/core/enode.rkt:68:0 table-ref [194] 48.3% ---------------------------------------------------------------------------- hash-update! [184] 100.0% [190] 22254(15.9%) 906(0.6%) ??? ...s/herbie/develop/src/core/egraph.rkt:226:24 for-loop [195] 95.9% ---------------------------------------------------------------------------- for-loop [185] 100.0% [191] 3910(2.8%) 3910(2.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------------- apply-transformer52 [186] 100.0% [192] 1202(0.9%) 0(0.0%) apply-transformer-in-context (unknown source) ??? [197] 50.1% new-lambda [198] 25.0% parse-app [199] 25.0% ---------------------------------------------------------------------------- apply-transformer52 [186] 100.0% [193] 614(0.4%) 0(0.0%) apply-post-expansion (unknown source) gf [196] 100.0% ---------------------------------------------------------------------------- type-of-enode-expr [189] 47.6% for-loop [130] 52.4% [194] 588(0.4%) 588(0.4%) table-ref ...es/herbie/develop/src/common.rkt:46:0 ---------------------------------------------------------------------------- ??? [190] 100.0% [195] 21348(15.2%) 17584(12.5%) for-loop ...bie/develop/src/core/egraph.rkt:227:26 update-en-expr [200] 17.6% ---------------------------------------------------------------------------- apply-post-expansion [193] 18.7% loop [114] 81.3% [196] 2454(1.7%) 0(0.0%) gf (unknown source) propagation-apply [201] 50.4% propagation-merge [202] 30.9% loop [114] 12.3% syntax-e/no-taint [20] 6.4% ---------------------------------------------------------------------------- apply-transformer-in-context [192]100.0% [197] 602(0.4%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [203] 100.0% ---------------------------------------------------------------------------- apply-transformer-in-context [192]100.0% [198] 300(0.2%) 300(0.2%) new-lambda ...ollects/racket/private/kw.rkt:822:11 ---------------------------------------------------------------------------- apply-transformer-in-context [192]100.0% [199] 300(0.2%) 300(0.2%) parse-app ...collects/racket/private/kw.rkt:1105:2 ---------------------------------------------------------------------------- for-loop [164] 10.7% loop! [158] 23.0% for-loop [195] 66.3% [200] 5676(4.0%) 1988(1.4%) update-en-expr ...evelop/src/core/egraph.rkt:212:0 for-loop [204] 65.0% ---------------------------------------------------------------------------- gf [196] 100.0% [201] 1238(0.9%) 1238(0.9%) propagation-apply (unknown source) ---------------------------------------------------------------------------- gf [196] 100.0% [202] 914(0.7%) 914(0.7%) propagation-merge (unknown source) ---------------------------------------------------------------------------- ??? [197] 100.0% [203] 602(0.4%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [205] 100.0% ---------------------------------------------------------------------------- update-en-expr [200] 100.0% [204] 3688(2.6%) 3688(2.6%) for-loop ...rbie/develop/src/core/egraph.rkt:214:6 ---------------------------------------------------------------------------- ??? [203] 100.0% [205] 602(0.4%) 0(0.0%) syntax->list (unknown source) loop [114] 100.0% ----------------------------------------------------------------------------