Profiling results ----------------- Total cpu time observed: 13418ms (out of 13772ms) Number of samples taken: 60 (once every 224ms) =================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =================================================================== ??? [12] 100.0% [1] 13002(96.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ------------------------------------------------------------------- hash-ref! [65] 100.0% [2] 2110(15.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [9] 60.2% hash-ref! [65] 39.8% ------------------------------------------------------------------- loop [82] 100.0% [3] 1572(11.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [8] 100.0% ------------------------------------------------------------------- f6 [73] 100.0% [4] 402(3.0%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [65] 50.2% simplify [68] 49.8% ------------------------------------------------------------------- hash-ref! [65] 100.0% [5] 222(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [10] 100.0% ------------------------------------------------------------------- hash-ref! [65] 100.0% [6] 218(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [11] 100.0% ------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 13002(96.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [12] 100.0% ------------------------------------------------------------------- simplify [18] 21.2% completely-simplify-alt [3] 78.8% [8] 1996(14.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [13] 100.0% ------------------------------------------------------------------- ??? [2] 100.0% [9] 1270(9.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [65] 100.0% ------------------------------------------------------------------- ??? [5] 100.0% [10] 222(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [65] 100.0% ------------------------------------------------------------------- ??? [6] 100.0% [11] 218(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [65] 100.0% ------------------------------------------------------------------- for-loop [39] 1.6% run [7] 48.4% [12] 13204(98.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.4% run-improve58 [14] 34.4% loop [15] 15.6% simplify [18] 1.6% ------------------------------------------------------------------- for-loop [24] 9.9% simplify-expr [8] 90.1% [13] 2216(16.5%) 384(2.9%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [16] 47.1% map-enodes [17] 35.6% ------------------------------------------------------------------- ??? [12] 100.0% [14] 9090(67.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [19] 49.8% get-final-combination [20] 33.8% for-loop [22] 16.4% ------------------------------------------------------------------- ??? [12] 100.0% [15] 4114(30.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [26] 51.2% loop [21] 48.8% ------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [16] 1044(7.8%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [23] 100.0% ------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [17] 788(5.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [82] 100.0% ------------------------------------------------------------------- ??? [12] 100.0% [18] 644(4.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 65.8% for-loop [24] 34.2% ------------------------------------------------------------------- run-improve58 [14] 100.0% [19] 4528(33.7%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [25] 100.0% ------------------------------------------------------------------- run-improve58 [14] 100.0% [20] 3074(22.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [27] 100.0% ------------------------------------------------------------------- loop [15] 100.0% [21] 2008(15.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [26] 53.6% loop [29] 46.4% ------------------------------------------------------------------- run-improve58 [14] 100.0% [22] 1488(11.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [28] 100.0% ------------------------------------------------------------------- for-loop [23] 40.3% one-iter [16] 59.7% [23] 1044(7.8%) 404(3.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [23] 40.3% match-e [30] 30.7% ------------------------------------------------------------------- simplify [18] 100.0% [24] 220(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [13] 100.0% ------------------------------------------------------------------- finalize-table! [19] 100.0% [25] 4528(33.7%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [32] 56.0% loop [82] 39.2% ??? [40] 4.9% ------------------------------------------------------------------- loop [21] 33.8% loop [15] 66.2% [26] 3182(23.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [76] 56.4% loop [82] 43.6% ------------------------------------------------------------------- get-final-combination [20] 100.0% [27] 3074(22.9%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [31] 100.0% ------------------------------------------------------------------- for-loop [22] 100.0% [28] 1488(11.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [33] 43.3% finalize-iter! [34] 28.4% gen-series! [35] 28.4% ------------------------------------------------------------------- loop [21] 100.0% [29] 932(6.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [76] 100.0% ------------------------------------------------------------------- for-loop [23] 100.0% [30] 640(4.8%) 420(3.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [36] 34.4% ------------------------------------------------------------------- split-table [27] 100.0% [31] 3074(22.9%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [37] 100.0% ------------------------------------------------------------------- post-process [25] 100.0% [32] 2534(18.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [38] 100.0% ------------------------------------------------------------------- run-iter! [28] 100.0% [33] 644(4.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [39] 100.0% ------------------------------------------------------------------- run-iter! [28] 100.0% [34] 422(3.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [40] 100.0% ------------------------------------------------------------------- run-iter! [28] 100.0% [35] 422(3.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [41] 100.0% ------------------------------------------------------------------- match-e [30] 100.0% [36] 220(1.6%) 220(1.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 ------------------------------------------------------------------- infer-splitpoints4 [31] 100.0% [37] 3074(22.9%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [43] 86.2% err-lsts->split-indices [45] 7.2% pick-errors [46] 6.6% ------------------------------------------------------------------- for-loop [32] 100.0% [38] 2534(18.9%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [42] 92.0% loop [82] 8.0% ------------------------------------------------------------------- simplify! [33] 100.0% [39] 644(4.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [12] 100.0% ------------------------------------------------------------------- post-process [25] 34.3% finalize-iter! [34] 65.7% [40] 642(4.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [44] 100.0% ------------------------------------------------------------------- gen-series! [35] 100.0% [41] 422(3.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [42] 100.0% ------------------------------------------------------------------- loop [82] 6.8% for-loop [41] 14.3% append-map [38] 78.9% [42] 2956(22.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [47] 100.0% ------------------------------------------------------------------- option-on-expr [37] 100.0% [43] 2650(19.7%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [48] 100.0% ------------------------------------------------------------------- ??? [40] 100.0% [44] 642(4.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [49] 100.0% ------------------------------------------------------------------- option-on-expr [37] 100.0% [45] 220(1.6%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [50] 100.0% ------------------------------------------------------------------- option-on-expr [37] 100.0% [46] 204(1.5%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [51] 100.0% ------------------------------------------------------------------- taylor-alt [42] 100.0% [47] 2956(22.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [52] 100.0% ------------------------------------------------------------------- sort-context-on-expr [43] 100.0% [48] 2650(19.7%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [53] 75.1% loop [57] 24.9% ------------------------------------------------------------------- for-loop [44] 100.0% [49] 642(4.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [54]100.0% ------------------------------------------------------------------- err-lsts->split-indices [45]100.0% [50] 220(1.6%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [55] 100.0% ------------------------------------------------------------------- pick-errors [46] 100.0% [51] 204(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [66] 100.0% ------------------------------------------------------------------- location-do [52] 40.4% for-loop [47] 59.6% [52] 2956(22.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [56] 59.6% location-do [52] 40.4% ------------------------------------------------------------------- copying-mergesort [53] 39.7% sort [48] 60.3% [53] 1990(14.8%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 loop [57] 51.8% copying-mergesort [53] 39.7% jloop [58] 8.4% ------------------------------------------------------------------- atab-add-altn [49] 100.0% [54] 642(4.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [59] 100.0% ------------------------------------------------------------------- add-splitpoint [50] 100.0% [55] 220(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 for-loop [60] 100.0% ------------------------------------------------------------------- location-do [52] 100.0% [56] 2956(22.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 79.6% f6 [73] 13.6% taylor-quotient [64] 6.8% ------------------------------------------------------------------- sort [48] 33.4% copying-mergesort [53] 66.6% [57] 1978(14.7%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [61] 100.0% ------------------------------------------------------------------- copying-mergesort [53] 100.0% [58] 672(5.0%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [61] 100.0% ------------------------------------------------------------------- best-and-tied-at-points [54]100.0% [59] 642(4.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 100.0% ------------------------------------------------------------------- for-loop [55] 100.0% [60] 220(1.6%) 220(1.6%) for-loop ...lock/herbie/src/core/regimes.rkt:243:8 ------------------------------------------------------------------- jloop [58] 25.4% loop [57] 74.6% [61] 2650(19.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [66] 91.5% ??? [85] 8.5% ------------------------------------------------------------------- approximate9 [56] 100.0% [62] 2352(17.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [65] 100.0% ------------------------------------------------------------------- errors [59] 100.0% [63] 642(4.8%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [67] 34.3% ??? [85] 34.3% ->flonum [87] 31.5% ------------------------------------------------------------------- approximate9 [56] 100.0% [64] 202(1.5%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [68] 100.0% ------------------------------------------------------------------- for-loop [11] 1.6% for-loop [10] 2.0% localize-error [89] 2.4% ??? [71] 2.9% taylor-sqrt [4] 3.7% ??? [90] 4.9% ??? [2] 8.7% for-loop [9] 12.4% ??? [70] 14.4% ??? [69] 19.5% loop [62] 27.5% [65] 2756(20.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [68] 31.2% ??? [2] 21.1% ??? [69] 19.5% ??? [70] 14.4% f6 [73] 4.9% ??? [71] 2.9% parse-loop50 [79] 2.4% ??? [5] 2.0% ??? [6] 1.6% ------------------------------------------------------------------- for-loop [51] 7.8% ??? [61] 92.2% [66] 2630(19.6%) 2410(18.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ??? [72] 8.4% ------------------------------------------------------------------- for-loop [63] 100.0% [67] 220(1.6%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [95] 100.0% ------------------------------------------------------------------- taylor-sqrt [4] 6.8% taylor-quotient [64] 6.8% hash-ref! [65] 86.4% [68] 2956(22.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [79] 71.5% debug-print [74] 14.9% f6 [73] 13.6% ------------------------------------------------------------------- hash-ref! [65] 100.0% [69] 2130(15.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [65] 100.0% ------------------------------------------------------------------- hash-ref! [65] 100.0% [70] 1706(12.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [65] 100.0% ------------------------------------------------------------------- hash-ref! [65] 100.0% [71] 402(3.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [65] 100.0% ------------------------------------------------------------------- eval-prog [66] 100.0% [72] 220(1.6%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [75] 100.0% ------------------------------------------------------------------- f6 [73] 8.1% approximate9 [56] 8.1% simplify [68] 10.8% map [76] 16.1% hash-ref! [65] 16.2% parse-loop50 [79] 40.8% [73] 1248(9.3%) 220(1.6%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [76] 58.1% composed [78] 8.1% f6 [73] 8.1% taylor-sqrt [4] 8.1% ------------------------------------------------------------------- simplify [68] 100.0% [74] 440(3.3%) 222(1.7%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [77] 49.5% ------------------------------------------------------------------- ??? [72] 100.0% [75] 220(1.6%) 220(1.6%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------- loop [29] 24.8% f6 [73] 27.4% make-exacts* [26] 47.8% [76] 3756(28.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [82] 72.6% parse-loop50 [79] 11.3% f6 [73] 9.4% ??? [90] 2.7% loop [80] 2.7% simplify* [81] 1.3% ------------------------------------------------------------------- debug-print [74] 100.0% [77] 218(1.6%) 218(1.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------- f6 [73] 100.0% [78] 202(1.5%) 202(1.5%) composed ...ollects/racket/private/list.rkt:321:16 ------------------------------------------------------------------- loop [82] 1.9% map [76] 6.1% hash-ref! [65] 8.7% simplify [68] 40.2% parse-loop50 [79] 43.1% [79] 2316(17.3%) 1472(11.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [79] 43.1% loop [82] 10.6% simplify-node [83] 8.7% f6 [73] 8.5% parse-app [99] 1.6% ------------------------------------------------------------------- map [76] 7.7% loop [80] 92.3% [80] 202(1.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [80] 92.3% ??? [84] 7.7% ------------------------------------------------------------------- map [76] 100.0% [81] 200(1.5%) 200(1.5%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 ------------------------------------------------------------------- make-exacts* [26] 0.0% map-enodes [17] 1.8% append-map [38] 3.0% map [76] 3.2% post-process [25] 3.9% parse-loop50 [79] 4.8% loop [82] 83.3% [82] 6748(50.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [82] 83.3% parse-loop50 [79] 3.3% ??? [85] 3.2% taylor-alt [42] 3.0% completely-simplify-alt [3] 2.4% for-loop [86] 1.8% localize-error [89] 1.5% ??? [90] 1.5% ->flonum [87] 0.0% ------------------------------------------------------------------- parse-loop50 [79] 100.0% [83] 202(1.5%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 combine-aterms [88] 100.0% ------------------------------------------------------------------- loop [80] 100.0% [84] 202(1.5%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [87] 100.0% ------------------------------------------------------------------- for-loop [63] 4.9% ??? [61] 4.9% loop [82] 90.2% [85] 4530(33.8%) 424(3.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [91] 50.8% real->bigfloat [92] 30.0% ??? [94] 9.8% ------------------------------------------------------------------- loop [82] 100.0% [86] 788(5.9%) 200(1.5%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [93] 74.6% ------------------------------------------------------------------- for-loop [63] 31.3% ??? [84] 31.3% loop [82] 37.5% [87] 646(4.8%) 242(1.8%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [100] 31.3% ??? [95] 31.3% ------------------------------------------------------------------- simplify-node [83] 100.0% [88] 202(1.5%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [96] 100.0% ------------------------------------------------------------------- loop [82] 100.0% [89] 202(1.5%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [65] 100.0% ------------------------------------------------------------------- map [76] 50.0% loop [82] 50.0% [90] 202(1.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [65] 100.0% ------------------------------------------------------------------- ??? [85] 100.0% [91] 2302(17.2%) 444(3.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [97] 80.7% ------------------------------------------------------------------- ??? [85] 100.0% [92] 1360(10.1%) 910(6.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 33.1% ------------------------------------------------------------------- for-loop [86] 100.0% [93] 588(4.4%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ??? [97] 62.2% parse-app [99] 37.8% ------------------------------------------------------------------- ??? [85] 100.0% [94] 444(3.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ------------------------------------------------------------------- ->flonum [87] 47.9% ulp-difference [67] 52.1% [95] 422(3.1%) 422(3.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------- combine-aterms [88] 100.0% [96] 202(1.5%) 202(1.5%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 ------------------------------------------------------------------- eval-const-expr [93] 16.5% ??? [91] 83.5% [97] 2224(16.6%) 1116(8.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [101] 22.0% ??? [100] 16.5% bflog [102] 11.3% ------------------------------------------------------------------- real->bigfloat [92] 100.0% [98] 450(3.4%) 450(3.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------- parse-loop50 [79] 49.8% eval-const-expr [93] 50.2% [99] 442(3.3%) 442(3.3%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------- ->flonum [87] 20.0% ??? [97] 36.2% ??? [94] 43.9% [100] 1012(7.5%) 646(4.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [103] 36.2% ------------------------------------------------------------------- ??? [97] 100.0% [101] 490(3.7%) 490(3.7%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ------------------------------------------------------------------- ??? [97] 100.0% [102] 252(1.9%) 252(1.9%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ------------------------------------------------------------------- ??? [100] 100.0% [103] 366(2.7%) 366(2.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 -------------------------------------------------------------------