Profiling results ----------------- Total cpu time observed: 58990ms (out of 60536ms) Number of samples taken: 262 (once every 225ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [34] 100.0% [1] 57462(97.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ------------------------------------------------------------------------ ??? [34] 100.0% [2] 12604(21.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 90.1% loop [39] 6.5% get-final-combination [12] 3.4% ------------------------------------------------------------------------ loop [72] 2.2% ??? [34] 97.8% [3] 9576(16.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 54.2% for-loop [11] 25.5% iterate-egraph!5 [16] 20.3% ------------------------------------------------------------------------ hash-ref! [65] 100.0% [4] 622(1.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [68] 100.0% ------------------------------------------------------------------------ loop [72] 100.0% [5] 440(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 map [59] 50.0% hash-ref! [65] 50.0% ------------------------------------------------------------------------ hash-ref! [65] 100.0% [6] 424(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% ------------------------------------------------------------------------ hash-ref! [65] 100.0% [7] 400(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [14] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [8] 57462(97.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [34] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [9] 11350(19.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [10] 5192(8.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 91.1% loop [17] 8.9% ------------------------------------------------------------------------ simplify [3] 100.0% [11] 2444(4.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [12] 434(0.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [13] 424(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [65] 100.0% ------------------------------------------------------------------------ ??? [7] 100.0% [14] 400(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [65] 100.0% ------------------------------------------------------------------------ for-loop [9] 100.0% [15] 11350(19.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 82.5% finalize-iter! [21] 8.2% gen-series! [23] 5.5% localize-error [25] 3.9% ------------------------------------------------------------------------ simplify [3] 21.3% for-loop [11] 26.8% simplify-expr [10] 51.9% [16] 9114(15.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 92.9% map-enodes [22] 7.1% ------------------------------------------------------------------------ simplify-expr [10] 100.0% [17] 462(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [24] 100.0% ------------------------------------------------------------------------ get-final-combination [12] 100.0% [18] 434(0.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [26] 50.7% loop [72] 49.3% ------------------------------------------------------------------------ run-iter! [15] 100.0% [19] 9362(15.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [16] 100.0% [20] 8468(14.4%) 420(0.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 53.7% loop [29] 38.8% apply-match [35] 2.6% ------------------------------------------------------------------------ run-iter! [15] 100.0% [21] 926(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [16] 100.0% [22] 646(1.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [72] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [23] 622(1.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ------------------------------------------------------------------------ loop [17] 100.0% [24] 462(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [32] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [25] 440(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [65] 100.0% ------------------------------------------------------------------------ extract-alt [18] 100.0% [26] 220(0.4%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [33] 100.0% ------------------------------------------------------------------------ simplify! [19] 100.0% [27] 9362(15.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [34] 100.0% ------------------------------------------------------------------------ for-loop [28] 50.0% one-iter [20] 50.0% [28] 4544(7.7%) 242(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [40] 47.3% ------------------------------------------------------------------------ one-iter [20] 100.0% [29] 3284(5.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 100.0% ------------------------------------------------------------------------ finalize-iter! [21] 100.0% [30] 926(1.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 100.0% ------------------------------------------------------------------------ gen-series! [23] 100.0% [31] 622(1.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [37] 100.0% ------------------------------------------------------------------------ pass [24] 100.0% [32] 462(0.8%) 222(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [38] 51.9% ------------------------------------------------------------------------ f6 [75] 47.9% loop [26] 52.1% [33] 422(0.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [55] 52.1% f6 [75] 47.9% ------------------------------------------------------------------------ for-loop [27] 5.6% run [8] 46.4% [34] 58990(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.4% loop [39] 39.7% run-improve58 [2] 8.4% simplify [3] 5.6% ------------------------------------------------------------------------ one-iter [20] 6.3% loop [29] 93.7% [35] 3504(5.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [41] 52.0% match-e [40] 29.1% update-leader! [46] 12.0% loop! [78] 6.9% ------------------------------------------------------------------------ ??? [30] 100.0% [36] 926(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [42] 100.0% ------------------------------------------------------------------------ for-loop [31] 100.0% [37] 622(1.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% ------------------------------------------------------------------------ for-loop [32] 100.0% [38] 240(0.4%) 240(0.4%) argmin ...re/racket/collects/racket/list.rkt:743:0 ------------------------------------------------------------------------ run-improve58 [2] 1.7% ??? [34] 98.3% [39] 47206(80.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [51] 55.2% loop [44] 43.5% loop [52] 1.3% ------------------------------------------------------------------------ apply-match [35] 13.4% for-loop [54] 13.9% for-loop [28] 72.7% [40] 5322(9.0%) 3420(5.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [45] 41.4% for-loop [54] 3.8% loop [72] 2.3% ------------------------------------------------------------------------ merge-egraph-nodes! [41] 6.6% apply-match [35] 93.4% [41] 1822(3.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [46] 82.5% for-loop [50] 10.9% merge-egraph-nodes! [41] 6.6% ------------------------------------------------------------------------ for-loop [36] 100.0% [42] 926(1.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 76.2% override-at-pnts [49] 23.8% ------------------------------------------------------------------------ taylor-alt [37] 100.0% [43] 622(1.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [48] 100.0% ------------------------------------------------------------------------ loop [39] 100.0% [44] 20514(34.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 61.7% make-exacts* [51] 36.3% eval-prog [61] 2.1% ------------------------------------------------------------------------ match-e [40] 100.0% [45] 2740(4.6%) 620(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [54] 53.3% list-cartesian-product [57] 8.8% curried [58] 8.1% loop [72] 7.2% ------------------------------------------------------------------------ apply-match [35] 20.5% merge-egraph-nodes! [41] 79.5% [46] 2044(3.5%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [53] 100.0% ------------------------------------------------------------------------ atab-add-altn [42] 100.0% [47] 706(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [55] 100.0% ------------------------------------------------------------------------ location-do [48] 43.0% for-loop [43] 57.0% [48] 622(1.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [56] 57.0% location-do [48] 43.0% ------------------------------------------------------------------------ atab-add-altn [42] 100.0% [49] 220(0.4%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [55] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [41] 100.0% [50] 198(0.3%) 198(0.3%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------------ loop [44] 22.2% loop [39] 77.8% [51] 33510(56.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [59] 50.2% loop [72] 49.8% ------------------------------------------------------------------------ loop [39] 4.7% loop [44] 95.3% [52] 13270(22.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [59] 100.0% ------------------------------------------------------------------------ update-leader! [46] 100.0% [53] 2044(3.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [60] 100.0% ------------------------------------------------------------------------ match-e [40] 21.6% for-loop [45] 78.4% [54] 1862(3.2%) 382(0.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [40] 79.5% ------------------------------------------------------------------------ override-at-pnts [49] 19.2% composed [33] 19.2% best-and-tied-at-points [47] 61.6% [55] 1146(1.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [62] 57.8% eval-prog [61] 42.2% ------------------------------------------------------------------------ location-do [48] 100.0% [56] 622(1.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [63] 100.0% ------------------------------------------------------------------------ for-loop [45] 100.0% [57] 240(0.4%) 240(0.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 ------------------------------------------------------------------------ for-loop [45] 100.0% [58] 222(0.4%) 222(0.4%) curried ...cket/collects/racket/function.rkt:71:18 ------------------------------------------------------------------------ f6 [75] 0.7% ??? [5] 0.7% loop [52] 43.4% make-exacts* [51] 55.1% [59] 30544(51.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [72] 99.3% ->flonum [84] 0.7% ------------------------------------------------------------------------ for-loop [53] 100.0% [60] 2044(3.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [64] 100.0% ------------------------------------------------------------------------ loop [44] 46.8% errors [55] 53.2% [61] 910(1.5%) 484(0.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [65] 46.8% ------------------------------------------------------------------------ errors [55] 100.0% [62] 662(1.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [66] 66.5% ??? [76] 33.5% ------------------------------------------------------------------------ approximate9 [56] 100.0% [63] 622(1.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [65] 100.0% ------------------------------------------------------------------------ for-loop [60] 100.0% [64] 2044(3.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [67] 100.0% ------------------------------------------------------------------------ eval-prog [61] 6.4% ??? [5] 7.4% for-loop [14] 7.8% for-loop [13] 8.4% ??? [69] 12.8% loop [63] 12.8% localize-error [25] 22.2% loop [72] 22.2% [65] 1488(2.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [71] 22.2% parse-loop12 [68] 22.2% ??? [69] 12.8% simplify [4] 12.8% ??? [6] 8.4% ??? [7] 7.8% f6 [75] 7.4% bigfloat-hash [70] 6.4% ------------------------------------------------------------------------ for-loop [62] 100.0% [66] 440(0.7%) 220(0.4%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [90] 50.0% ------------------------------------------------------------------------ hash-update! [64] 100.0% [67] 2044(3.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [73] 100.0% ------------------------------------------------------------------------ loop [72] 13.9% hash-ref! [65] 41.4% simplify [4] 44.6% [68] 1062(1.8%) 420(0.7%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [72] 55.4% f6 [75] 19.0% ------------------------------------------------------------------------ hash-ref! [65] 100.0% [69] 622(1.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [65] 100.0% ------------------------------------------------------------------------ hash-ref! [65] 100.0% [70] 426(0.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [74] 100.0% ------------------------------------------------------------------------ hash-ref! [65] 100.0% [71] 426(0.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [72] 100.0% ------------------------------------------------------------------------ extract-alt [18] 0.1% loop! [78] 0.1% for-loop [45] 0.2% make-exacts* [51] 0.2% map-enodes [22] 0.3% parse-loop12 [68] 0.4% match-e [40] 0.5% ??? [71] 0.9% map [59] 1.4% loop [72] 95.9% [72] 49408(83.8%) 240(0.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [72] 95.9% ??? [76] 1.5% hash-ref! [65] 0.9% parse-loop12 [68] 0.3% for-loop [77] 0.3% foldl [80] 0.2% ??? [5] 0.1% loop! [78] 0.1% ??? [89] 0.1% simplify [3] 0.1% ------------------------------------------------------------------------ ??? [67] 100.0% [73] 2044(3.5%) 1602(2.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [83] 21.6% ------------------------------------------------------------------------ bigfloat-hash [70] 100.0% [74] 426(0.7%) 426(0.7%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------------ composed [33] 12.0% parse-loop12 [68] 12.0% append-map [79] 23.9% hash-ref! [65] 52.1% [75] 422(0.7%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [59] 52.1% append-map [79] 35.9% composed [33] 12.0% ------------------------------------------------------------------------ for-loop [62] 0.5% loop [72] 99.5% [76] 47002(79.7%) 180(0.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 96.4% real->bigfloat [82] 2.8% ->flonum [84] 0.5% ------------------------------------------------------------------------ loop [72] 100.0% [77] 646(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [85] 37.5% setfindf [86] 31.3% compose [87] 31.3% ------------------------------------------------------------------------ loop [72] 50.0% apply-match [35] 50.0% [78] 242(0.4%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [72] 50.0% update-en-expr [83] 50.0% ------------------------------------------------------------------------ f6 [75] 100.0% [79] 202(0.3%) 202(0.3%) append-map ...acket/collects/racket/list.rkt:565:2 f6 [75] 66.7% ------------------------------------------------------------------------ loop [72] 100.0% [80] 198(0.3%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [88] 100.0% ------------------------------------------------------------------------ ??? [76] 100.0% [81] 45302(76.8%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [89] 98.6% ...higher-order.rkt:373:33 [91] 1.4% ------------------------------------------------------------------------ ??? [76] 100.0% [82] 1298(2.2%) 616(1.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 52.5% ------------------------------------------------------------------------ loop! [78] 35.4% for-loop [73] 64.6% [83] 684(1.2%) 684(1.2%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ map [59] 49.8% ??? [76] 50.2% [84] 442(0.7%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [90] 100.0% ------------------------------------------------------------------------ for-loop [77] 100.0% [85] 242(0.4%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [92] 100.0% ------------------------------------------------------------------------ for-loop [77] 100.0% [86] 202(0.3%) 202(0.3%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ------------------------------------------------------------------------ for-loop [77] 100.0% [87] 202(0.3%) 202(0.3%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------ foldl [80] 100.0% [88] 198(0.3%) 198(0.3%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------ loop [72] 0.5% ??? [81] 99.5% [89] 44868(76.1%) 40724(69.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsin [93] 5.7% bfdiv [94] 2.7% ??? [100] 0.9% ------------------------------------------------------------------------ ulp-difference [66] 33.2% ->flonum [84] 66.8% [90] 662(1.1%) 662(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ??? [81] 100.0% [91] 654(1.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [98] 64.2% ??? [96] 35.8% ------------------------------------------------------------------------ eval-const-expr [85] 100.0% [92] 242(0.4%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [95] 100.0% ------------------------------------------------------------------------ ??? [89] 100.0% [93] 2552(4.3%) 1914(3.2%) bfsin ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 25.0% ------------------------------------------------------------------------ ??? [89] 100.0% [94] 1192(2.0%) 712(1.2%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 40.3% ------------------------------------------------------------------------ inductor [95] 50.0% expression-induct31 [92] 50.0% [95] 242(0.4%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [95] 50.0% integer->bigfloat [99] 50.0% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [91]100.0% [96] 234(0.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [98] 100.0% ------------------------------------------------------------------------ bfdiv [94] 26.7% bfsin [93] 35.4% real->bigfloat [82] 37.9% [97] 1800(3.1%) 1800(3.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [96] 35.8% ...higher-order.rkt:373:33 [91] 64.2% [98] 654(1.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ------------------------------------------------------------------------ inductor [95] 100.0% [99] 242(0.4%) 242(0.4%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ------------------------------------------------------------------------ ??? [89] 38.0% ??? [98] 62.0% [100] 1054(1.8%) 234(0.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 77.8% ------------------------------------------------------------------------ ??? [100] 100.0% [101] 820(1.4%) 178(0.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 78.3% ------------------------------------------------------------------------ ??? [101] 100.0% [102] 642(1.1%) 642(1.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------