Profiling results ----------------- Total cpu time observed: 29626ms (out of 30236ms) Number of samples taken: 87 (once every 341ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [44] 100.0% [1] 29626(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- loop [65] 100.0% [2] 4692(15.8%) 364(1.2%) composed ...ollects/racket/private/list.rkt:321:16 ??? [71] 92.2% ----------------------------------------------------------------------- ??? [44] 100.0% [3] 4088(13.8%) 0(0.0%) run-improve40 ...ie/develop/src/mainloop.rkt:336:0 for-loop [8] 91.4% loop [47] 8.6% ----------------------------------------------------------------------- ??? [44] 100.0% [4] 2696(9.1%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:357:0 infer-splitpoints [9] 100.0% ----------------------------------------------------------------------- loop [67] 100.0% [5] 360(1.2%) 0(0.0%) ??? .../herbie/develop/src/core/localize.rkt:43:32 ??? [75] 100.0% ----------------------------------------------------------------------- copying-mergesort [37] 100.0% [6] 332(1.1%) 0(0.0%) jloop ...0/collects/racket/private/sort.rkt:120:23 ??? [71] 100.0% ----------------------------------------------------------------------- profile-thunk16 [1] 100.0% [7] 29626(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [44] 100.0% ----------------------------------------------------------------------- run-improve40 [3] 100.0% [8] 3736(12.6%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:351:4 run-iter! [10] 100.0% ----------------------------------------------------------------------- get-final-combination [4] 100.0% [9] 2696(9.1%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:34:0 for-loop [11] 100.0% ----------------------------------------------------------------------- for-loop [8] 100.0% [10] 3736(12.6%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:317:0 localize! [13] 34.5% simplify! [14] 31.0% finalize-iter! [15] 25.2% choose-best-alt! [16] 9.2% ----------------------------------------------------------------------- infer-splitpoints [9] 100.0% [11] 2696(9.1%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:46:6 option-on-expr [12] 100.0% ----------------------------------------------------------------------- for-loop [11] 100.0% [12] 2696(9.1%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:150:0 sort-context-on-expr [17] 62.0% for-loop [21] 25.6% for-loop [22] 12.4% ----------------------------------------------------------------------- run-iter! [10] 100.0% [13] 1290(4.4%) 0(0.0%) localize! ...herbie/develop/src/mainloop.rkt:116:0 localize-error [20] 77.4% errors-score [23] 22.6% ----------------------------------------------------------------------- run-iter! [10] 100.0% [14] 1160(3.9%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:213:0 ??? [19] 100.0% ----------------------------------------------------------------------- run-iter! [10] 100.0% [15] 942(3.2%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:268:0 ??? [18] 100.0% ----------------------------------------------------------------------- run-iter! [10] 100.0% [16] 344(1.2%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:107:0 ??? [18] 100.0% ----------------------------------------------------------------------- option-on-expr [12] 100.0% [17] 1672(5.6%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:145:0 ??? [24] 100.0% ----------------------------------------------------------------------- choose-best-alt! [16] 26.7% finalize-iter! [15] 73.3% [18] 1286(4.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [27] 73.3% ??? [28] 26.7% ----------------------------------------------------------------------- simplify! [14] 100.0% [19] 1160(3.9%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:26:0 for-loop [25] 100.0% ----------------------------------------------------------------------- localize! [13] 100.0% [20] 998(3.4%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:52:0 hash-ref! [26] 100.0% ----------------------------------------------------------------------- option-on-expr [12] 100.0% [21] 690(2.3%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:158:4 errors [36] 100.0% ----------------------------------------------------------------------- option-on-expr [12] 100.0% [22] 334(1.1%) 0(0.0%) for-loop ...ie/develop/src/core/regimes.rkt:154:14 ??? [29] 100.0% ----------------------------------------------------------------------- localize! [13] 100.0% [23] 292(1.0%) 0(0.0%) errors-score ...erbie/develop/src/points.rkt:220:0 loop [30] 100.0% ----------------------------------------------------------------------- sort-context-on-expr [17] 100.0% [24] 1672(5.6%) 0(0.0%) ??? ...-7.0/collects/racket/private/sort.rkt:369:3 generic-sort/key [31] 80.6% loop [41] 19.4% ----------------------------------------------------------------------- ??? [19] 100.0% [25] 1160(3.9%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:33:2 one-iter [32] 100.0% ----------------------------------------------------------------------- loop [65] 15.3% localize-error [20] 41.7% map [59] 43.0% [26] 998(3.4%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 parse-loop15 [33] 65.3% f9 [35] 34.7% ----------------------------------------------------------------------- ??? [18] 100.0% [27] 942(3.2%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:56:2 atab-add-altn [34] 100.0% ----------------------------------------------------------------------- ??? [18] 100.0% [28] 344(1.2%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:59:0 ??? [75] 100.0% ----------------------------------------------------------------------- for-loop [22] 100.0% [29] 334(1.1%) 334(1.1%) ??? ...7.0/collects/racket/private/for.rkt:1208:14 ----------------------------------------------------------------------- errors-score [23] 100.0% [30] 292(1.0%) 292(1.0%) loop .../racket-7.0/collects/racket/list.rkt:559:2 ----------------------------------------------------------------------- ??? [24] 100.0% [31] 1348(4.6%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [37] 77.7% loop [41] 22.3% ----------------------------------------------------------------------- for-loop [25] 100.0% [32] 1160(3.9%) 0(0.0%) one-iter ...bie/develop/src/core/simplify.rkt:86:0 for-loop [38] 76.0% find-matches [39] 24.0% ----------------------------------------------------------------------- hash-ref! [26] 100.0% [33] 998(3.4%) 0(0.0%) parse-loop15 ...s/racket/match/compiler.rkt:418:15 map [59] 52.7% loop [65] 30.7% loop [67] 16.6% ----------------------------------------------------------------------- for-loop [27] 100.0% [34] 942(3.2%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:202:0 errors [36] 100.0% ----------------------------------------------------------------------- hash-ref! [26] 100.0% [35] 692(2.3%) 0(0.0%) f9 ....0/collects/racket/match/compiler.rkt:507:40 map [59] 100.0% ----------------------------------------------------------------------- ??? [98] 8.3% for-loop [21] 16.7% atab-add-altn [34] 22.8% ??? [44] 52.2% [36] 4130(13.9%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:228:0 for-loop [40] 100.0% ----------------------------------------------------------------------- copying-mergesort [37] 46.5% generic-sort/key [31] 53.5% [37] 1048(3.5%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [37] 46.5% loop [41] 45.5% jloop [6] 7.9% ----------------------------------------------------------------------- one-iter [32] 100.0% [38] 882(3.0%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:95:2 loop [42] 100.0% ----------------------------------------------------------------------- one-iter [32] 100.0% [39] 278(0.9%) 0(0.0%) find-matches ...develop/src/core/simplify.rkt:56:0 for-loop [43] 100.0% ----------------------------------------------------------------------- errors [36] 100.0% [40] 4130(13.9%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:230:2 ??? [44] 100.0% ----------------------------------------------------------------------- generic-sort/key [31] 22.4% ??? [24] 24.2% copying-mergesort [37] 53.4% [41] 1340(4.5%) 0(0.0%) loop ...7.0/collects/racket/private/sort.rkt:96:12 ??? [71] 73.3% ??? [75] 26.7% ----------------------------------------------------------------------- for-loop [38] 100.0% [42] 882(3.0%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:100:4 apply-match [45] 100.0% ----------------------------------------------------------------------- for-loop [43] 50.0% find-matches [39] 50.0% [43] 278(0.9%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:58:8 for-loop [43] 50.0% match-e [46] 50.0% ----------------------------------------------------------------------- for-loop [40] 4.6% run [7] 47.7% [44] 29626(100.0%) 306(1.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 47.7% loop [47] 27.1% run-improve40 [3] 6.2% oracle-error [48] 4.2% get-final-combination [4] 4.2% eval-errors [49] 3.7% ??? [71] 3.7% errors [36] 2.4% ??? [75] 0.7% ----------------------------------------------------------------------- loop [42] 100.0% [45] 882(3.0%) 0(0.0%) apply-match .../develop/src/core/simplify.rkt:65:0 for-loop [50] 100.0% ----------------------------------------------------------------------- for-loop [43] 100.0% [46] 278(0.9%) 0(0.0%) match-e ...herbie/develop/src/core/ematch.rkt:39:0 make-sequence [51] 100.0% ----------------------------------------------------------------------- run-improve40 [3] 2.1% ??? [44] 97.9% [47] 16384(55.3%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:304:2 loop [58] 67.1% loop [52] 28.9% for-loop [56] 2.1% filter-p&e [57] 1.9% ----------------------------------------------------------------------- ??? [44] 100.0% [48] 2476(8.4%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:212:0 for-loop [53] 100.0% ----------------------------------------------------------------------- ??? [44] 100.0% [49] 2180(7.4%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:203:0 for-loop [54] 100.0% ----------------------------------------------------------------------- apply-match [45] 100.0% [50] 882(3.0%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:78:2 merge-egraph-nodes! [55] 100.0% ----------------------------------------------------------------------- match-e [46] 100.0% [51] 278(0.9%) 278(0.9%) make-sequence ...ects/racket/private/for.rkt:528:2 ----------------------------------------------------------------------- loop [47] 100.0% [52] 4742(16.0%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:265:2 loop [58] 62.7% make-exacts-walkup [60] 37.3% ----------------------------------------------------------------------- oracle-error [48] 100.0% [53] 2476(8.4%) 248(0.8%) for-loop ...es/herbie/develop/src/points.rkt:213:2 map [59] 50.2% loop [65] 39.8% ----------------------------------------------------------------------- eval-errors [49] 100.0% [54] 2180(7.4%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:205:2 ??? [71] 87.3% ??? [75] 12.7% ----------------------------------------------------------------------- for-loop [64] 21.9% for-loop [50] 78.1% [55] 882(3.0%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:145:0 update-leader! [61] 43.2% loop! [74] 34.9% for-loop [64] 21.9% ----------------------------------------------------------------------- loop [47] 100.0% [56] 336(1.1%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:323:31 for-loop [62] 100.0% ----------------------------------------------------------------------- loop [47] 100.0% [57] 312(1.1%) 0(0.0%) filter-p&e .../herbie/develop/src/points.rkt:278:0 for-loop [63] 100.0% ----------------------------------------------------------------------- loop [52] 21.3% loop [47] 78.7% [58] 13966(47.1%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:248:4 loop [65] 100.0% ----------------------------------------------------------------------- parse-loop15 [33] 13.0% loop [65] 13.7% f9 [35] 17.9% for-loop [53] 55.4% [59] 2240(7.6%) 0(0.0%) map ...t-7.0/collects/racket/private/map.rkt:35:13 ??? [66] 55.4% hash-ref! [26] 22.9% ??? [75] 13.7% loop [67] 8.0% ----------------------------------------------------------------------- loop [52] 100.0% [60] 1770(6.0%) 0(0.0%) make-exacts-walkup ...develop/src/points.rkt:245:0 loop [65] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [55] 100.0% [61] 574(1.9%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:213:0 for-loop [68] 100.0% ----------------------------------------------------------------------- for-loop [56] 100.0% [62] 336(1.1%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:324:32 random-posit16 [69] 100.0% ----------------------------------------------------------------------- filter-p&e [57] 100.0% [63] 312(1.1%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:280:2 andmap [70] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [55] 100.0% [64] 290(1.0%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:199:4 merge-egraph-nodes! [55] 100.0% ----------------------------------------------------------------------- make-exacts-walkup [60] 0.0% parse-loop15 [33] 0.0% loop [58] 0.6% loop! [74] 1.7% ??? [71] 2.3% for-loop [53] 5.6% loop [65] 89.7% [65] 17694(59.7%) 654(2.2%) loop ...-7.0/collects/racket/private/map.rkt:40:19 loop [65] 89.7% ??? [71] 4.5% ??? [78] 3.4% loop! [74] 1.7% ->bf [76] 0.3% ??? [75] 0.2% composed [2] 0.1% hash-ref! [26] 0.0% map [59] 0.0% ----------------------------------------------------------------------- map [59] 100.0% [66] 1242(4.2%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:214:26 ??? [71] 59.4% ??? [75] 40.6% ----------------------------------------------------------------------- parse-loop15 [33] 0.7% map [59] 0.9% loop [67] 98.4% [67] 692(2.3%) 0(0.0%) loop ...-7.0/collects/racket/private/map.rkt:54:19 loop [67] 98.4% ??? [5] 0.9% ??? [75] 0.7% ----------------------------------------------------------------------- update-leader! [61] 100.0% [68] 574(1.9%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:218:6 hash-update! [72] 100.0% ----------------------------------------------------------------------- for-loop [62] 100.0% [69] 336(1.1%) 336(1.1%) random-posit16 ...softposit-rkt/softposit.rkt:64:0 ----------------------------------------------------------------------- for-loop [63] 100.0% [70] 312(1.1%) 0(0.0%) andmap ...0/collects/racket/private/map.rkt:102:13 ordinary-value? [73] 100.0% ----------------------------------------------------------------------- jloop [6] 1.9% ??? [66] 4.2% loop [41] 5.6% for-loop [54] 10.9% ??? [44] 18.6% composed [2] 24.8% loop [65] 34.0% [71] 17476(59.0%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:146:2 ??? [77] 38.9% ->bf [76] 34.2% loop [65] 13.9% ??? [75] 11.4% ??? [78] 1.7% ----------------------------------------------------------------------- for-loop [68] 100.0% [72] 574(1.9%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [79] 100.0% ----------------------------------------------------------------------- andmap [70] 100.0% [73] 312(1.1%) 312(1.1%) ordinary-value? ...rbie/develop/src/float.rkt:54:0 ----------------------------------------------------------------------- loop [65] 50.0% merge-egraph-nodes! [55] 50.0% [74] 308(1.0%) 308(1.0%) loop! ...s/herbie/develop/src/core/enode.rkt:191:2 loop [65] 50.0% ----------------------------------------------------------------------- for-loop [54] 2.6% map [59] 2.9% loop [67] 3.1% ??? [28] 3.3% loop [41] 3.4% ??? [5] 3.4% ??? [66] 4.8% ??? [44] 5.5% ??? [71] 18.8% loop [65] 52.3% [75] 10574(35.7%) 876(3.0%) ??? ...tract/private/arrow-higher-order.rkt:357:33 double->posit16 [90] 48.2% ->flonum [82] 36.9% double->quire16 [87] 3.4% best-alt [88] 3.3% ----------------------------------------------------------------------- loop [65] 22.4% ??? [71] 77.6% [76] 7696(26.0%) 3112(10.5%) ->bf ...tlies/herbie/develop/src/programs.rkt:62:0 bf [81] 50.8% keyword-apply [91] 4.5% ??? [89] 4.2% ----------------------------------------------------------------------- ??? [71] 100.0% [77] 6790(22.9%) 656(2.2%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 create-quire1633 [80] 63.5% big-posit16-add [83] 16.1% big-posit16-mul [86] 5.9% double->posit16 [90] 4.8% ----------------------------------------------------------------------- ??? [71] 33.2% loop [65] 66.8% [78] 904(3.1%) 300(1.0%) ??? ...ects/racket/contract/private/prop.rkt:519:4 ??? [84] 66.8% ----------------------------------------------------------------------- hash-update! [72] 100.0% [79] 574(1.9%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:221:24 for-loop [85] 100.0% ----------------------------------------------------------------------- ??? [77] 100.0% [80] 4314(14.6%) 852(2.9%) create-quire1633 ...tposit-rkt/softposit.rkt:175:0 double->posit16 [90] 80.3% ----------------------------------------------------------------------- ->bf [76] 100.0% [81] 3910(13.2%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [101] 100.0% ----------------------------------------------------------------------- ??? [75] 100.0% [82] 3902(13.2%) 2356(8.0%) ->flonum ...s/herbie/develop/src/programs.rkt:38:0 keyword-apply [91] 14.7% return/no-unsupplied [93] 9.2% ??? [103] 8.8% ??? [95] 7.0% ----------------------------------------------------------------------- ??? [77] 100.0% [83] 1092(3.7%) 0(0.0%) big-posit16-add .../src/syntax/softposit.rkt:108:0 ??? [97] 100.0% ----------------------------------------------------------------------- ??? [78] 100.0% [84] 604(2.0%) 604(2.0%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ----------------------------------------------------------------------- ??? [79] 100.0% [85] 574(1.9%) 574(1.9%) for-loop ...bie/develop/src/core/egraph.rkt:222:26 ----------------------------------------------------------------------- ??? [77] 100.0% [86] 404(1.4%) 0(0.0%) big-posit16-mul .../src/syntax/softposit.rkt:110:0 bf* [92] 100.0% ----------------------------------------------------------------------- ??? [75] 100.0% [87] 360(1.2%) 0(0.0%) double->quire16 ...ftposit-rkt/softposit.rkt:316:0 get-ffi-obj* [96] 100.0% ----------------------------------------------------------------------- ??? [75] 100.0% [88] 344(1.2%) 0(0.0%) best-alt .../herbie/develop/src/mainloop.rkt:102:0 argmins [94] 100.0% ----------------------------------------------------------------------- ->bf [76] 100.0% [89] 324(1.1%) 324(1.1%) ??? ...-7.0/collects/racket/lazy-require.rkt:106:6 ----------------------------------------------------------------------- ??? [77] 3.6% create-quire1633 [80] 39.0% ??? [75] 57.4% [90] 8878(30.0%) 324(1.1%) double->posit16 ...ftposit-rkt/softposit.rkt:248:0 get-ffi-obj* [96] 96.4% ----------------------------------------------------------------------- ->bf [76] 38.0% ->flonum [82] 62.0% [91] 922(3.1%) 922(3.1%) keyword-apply ...lects/racket/private/kw.rkt:421:2 ----------------------------------------------------------------------- big-posit16-mul [86] 100.0% [92] 404(1.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [97] 100.0% ----------------------------------------------------------------------- ->flonum [82] 100.0% [93] 358(1.2%) 358(1.2%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ----------------------------------------------------------------------- best-alt [88] 100.0% [94] 344(1.2%) 0(0.0%) argmins ...lies/herbie/develop/src/common.rkt:93:0 ??? [98] 100.0% ----------------------------------------------------------------------- ->flonum [82] 100.0% [95] 272(0.9%) 272(0.9%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 ----------------------------------------------------------------------- double->quire16 [87] 4.0% double->posit16 [90] 96.0% [96] 8914(30.1%) 868(2.9%) get-ffi-obj* ...-7.0/collects/ffi/unsafe.rkt:209:2 get-ffi-lib9 [99] 90.3% ----------------------------------------------------------------------- bf* [92] 27.0% big-posit16-add [83] 73.0% [97] 1496(5.0%) 358(1.2%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfadd [100] 76.1% ----------------------------------------------------------------------- argmins [94] 100.0% [98] 344(1.2%) 0(0.0%) ??? ...lies/herbie/develop/src/mainloop.rkt:104:19 errors [36] 100.0% ----------------------------------------------------------------------- get-ffi-obj* [96] 100.0% [99] 8046(27.2%) 5506(18.6%) get-ffi-lib9 ...-7.0/collects/ffi/unsafe.rkt:121:0 get-cross-lib-search-dirs [102] 31.6% ----------------------------------------------------------------------- ??? [97] 100.0% [100] 1138(3.8%) 0(0.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [101] 64.5% ??? [103] 35.5% ----------------------------------------------------------------------- bfadd [100] 15.8% bf [81] 84.2% [101] 4644(15.7%) 4644(15.7%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ----------------------------------------------------------------------- get-ffi-lib9 [99] 100.0% [102] 2540(8.6%) 2186(7.4%) get-cross-lib-search-dirs ...rivate/dirs.rkt:168:7 ??? [104] 13.9% ----------------------------------------------------------------------- ->flonum [82] 46.0% bfadd [100] 54.0% [103] 748(2.5%) 748(2.5%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 ----------------------------------------------------------------------- get-cross-lib-search-dirs [102]100.0% [104] 354(1.2%) 354(1.2%) ??? ...racket-7.0/collects/racket/promise.rkt:42:2 -----------------------------------------------------------------------