Profiling results ----------------- Total cpu time observed: 26010ms (out of 26276ms) Number of samples taken: 81 (once every 321ms) ================================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================ ??? [5] 100.0% [1] 26010(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [3] 100.0% -------------------------------------------------------------------------------- ??? [43] 100.0% [2] 296(1.1%) 0(0.0%) approximate9 ...ie/master/src/core/taylor.rkt:12:0 loop [4] 100.0% -------------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [3] 26010(100.0%) 0(0.0%) run ...et-7.2/share/pkgs/profile-lib/main.rkt:39:2 ??? [5] 100.0% -------------------------------------------------------------------------------- approximate9 [2] 100.0% [4] 296(1.1%) 0(0.0%) loop ...ies/herbie/master/src/core/taylor.rkt:87:4 hash-ref! [6] 100.0% -------------------------------------------------------------------------------- for-loop [65] 0.5% for-loop [102] 0.8% run [3] 49.3% [5] 26010(100.0%) 404(1.6%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.3% run-improve47 [7] 38.8% prepare-points-intervals [12] 9.4% ??? [26] 0.8% oracle-error [8] 0.7% errors [94] 0.4% -------------------------------------------------------------------------------- ??? [43] 50.0% loop [4] 50.0% [6] 296(1.1%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [10] 50.0% taylor [9] 50.0% -------------------------------------------------------------------------------- ??? [5] 100.0% [7] 20428(78.5%) 0(0.0%) run-improve47 ...bie/master/src/mainloop.rkt:346:0 for-loop [11] 95.5% prepare-points-intervals [12] 2.5% simplify! [18] 2.0% -------------------------------------------------------------------------------- ??? [5] 100.0% [8] 364(1.4%) 0(0.0%) oracle-error ...herbie/master/src/points.rkt:188:0 for-loop [13] 100.0% -------------------------------------------------------------------------------- hash-ref! [6] 100.0% [9] 296(1.1%) 0(0.0%) taylor .../herbie/master/src/core/taylor.rkt:170:0 taylor-invert [14] 100.0% -------------------------------------------------------------------------------- hash-ref! [6] 100.0% [10] 296(1.1%) 0(0.0%) ??? ...ies/herbie/master/src/core/taylor.rkt:68:15 ??? [43] 100.0% -------------------------------------------------------------------------------- run-improve47 [7] 100.0% [11] 19504(75.0%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:365:4 run-iter! [15] 100.0% -------------------------------------------------------------------------------- run-improve47 [7] 9.6% ??? [5] 90.4% [12] 5422(20.8%) 0(0.0%) prepare-points-intervals ...r/src/points.rkt:110:0 loop [16] 100.0% -------------------------------------------------------------------------------- oracle-error [8] 100.0% [13] 364(1.4%) 0(0.0%) for-loop ...ies/herbie/master/src/points.rkt:189:2 loop [77] 100.0% -------------------------------------------------------------------------------- taylor [9] 100.0% [14] 296(1.1%) 0(0.0%) taylor-invert .../master/src/core/taylor.rkt:318:0 simplify [17] 100.0% -------------------------------------------------------------------------------- for-loop [11] 100.0% [15] 19504(75.0%) 0(0.0%) run-iter! .../herbie/master/src/mainloop.rkt:327:0 simplify! [18] 96.8% finalize-iter! [21] 1.7% gen-series! [24] 1.5% -------------------------------------------------------------------------------- prepare-points-intervals [12] 100.0% [16] 5422(20.8%) 298(1.1%) loop ...ghtlies/herbie/master/src/points.rkt:123:4 ??? [19] 58.2% loop [20] 30.5% do-curry [22] 5.8% -------------------------------------------------------------------------------- taylor-invert [14] 100.0% [17] 296(1.1%) 0(0.0%) simplify ...herbie/master/src/core/reduce.rkt:16:0 parse-loop80 [23] 100.0% -------------------------------------------------------------------------------- run-improve47 [7] 2.1% run-iter! [15] 97.9% [18] 19276(74.1%) 0(0.0%) simplify! .../herbie/master/src/mainloop.rkt:224:0 ??? [25] 100.0% -------------------------------------------------------------------------------- loop [16] 100.0% [19] 3156(12.1%) 296(1.1%) ??? ...ightlies/herbie/master/src/points.rkt:106:2 ??? [43] 69.2% ??? [34] 21.4% -------------------------------------------------------------------------------- loop [16] 100.0% [20] 1654(6.4%) 296(1.1%) loop ...ightlies/herbie/master/src/points.rkt:81:2 ??? [26] 82.1% -------------------------------------------------------------------------------- run-iter! [15] 100.0% [21] 336(1.3%) 0(0.0%) finalize-iter! ...ie/master/src/mainloop.rkt:278:0 ??? [80] 100.0% -------------------------------------------------------------------------------- loop [16] 100.0% [22] 314(1.2%) 314(1.2%) do-curry ...-7.2/collects/racket/function.rkt:71:2 -------------------------------------------------------------------------------- simplify [17] 100.0% [23] 296(1.1%) 0(0.0%) parse-loop80 ...s/racket/match/compiler.rkt:418:15 eval-const-expr [27] 100.0% -------------------------------------------------------------------------------- run-iter! [15] 100.0% [24] 296(1.1%) 0(0.0%) gen-series! ...erbie/master/src/mainloop.rkt:160:0 for-loop [28] 100.0% -------------------------------------------------------------------------------- simplify! [18] 100.0% [25] 19276(74.1%) 0(0.0%) ??? ...es/herbie/master/src/core/simplify.rkt:31:0 for-loop [29] 98.4% loop [37] 1.6% -------------------------------------------------------------------------------- loop [77] 15.3% ??? [5] 27.5% loop [20] 57.2% [26] 2374(9.1%) 0(0.0%) ??? ...htlies/herbie/master/src/programs.rkt:115:2 ??? [30] 71.9% ??? [43] 28.1% -------------------------------------------------------------------------------- parse-loop80 [23] 100.0% [27] 296(1.1%) 0(0.0%) eval-const-expr ...e/master/src/programs.rkt:118:0 temp85_0 [31] 100.0% -------------------------------------------------------------------------------- gen-series! [24] 100.0% [28] 296(1.1%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:167:7 taylor-alt [32] 100.0% -------------------------------------------------------------------------------- ??? [25] 100.0% [29] 18976(73.0%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:51:2 ??? [33] 92.8% precompute-phase [35] 3.7% loop [37] 1.7% for-loop [38] 1.7% -------------------------------------------------------------------------------- ??? [26] 100.0% [30] 1708(6.6%) 0(0.0%) ??? ...t-7.2/collects/racket/private/kw.rkt:594:14 ??? [43] 40.5% ??? [36] 39.8% ??? [34] 19.7% -------------------------------------------------------------------------------- eval-const-expr [27] 100.0% [31] 296(1.1%) 0(0.0%) temp85_0 (unknown source) compile15 [39] 100.0% -------------------------------------------------------------------------------- for-loop [28] 100.0% [32] 296(1.1%) 0(0.0%) taylor-alt ...herbie/master/src/mainloop.rkt:146:0 for-loop [40] 100.0% -------------------------------------------------------------------------------- for-loop [29] 100.0% [33] 17612(67.7%) 0(0.0%) ??? ...es/herbie/master/src/core/simplify.rkt:92:0 for-loop [41] 68.1% find-matches [42] 31.9% -------------------------------------------------------------------------------- ??? [30] 33.2% ??? [19] 66.8% [34] 1012(3.9%) 288(1.1%) ??? ...tract/private/arrow-higher-order.rkt:364:33 ??? [46] 38.3% ival-sub [47] 33.2% -------------------------------------------------------------------------------- for-loop [29] 100.0% [35] 708(2.7%) 0(0.0%) precompute-phase ...er/src/core/simplify.rkt:101:0 for-loop [44] 100.0% -------------------------------------------------------------------------------- ??? [30] 100.0% [36] 680(2.6%) 680(2.6%) ??? .../herbie/master/src/syntax/syntax.rkt:214:17 -------------------------------------------------------------------------------- ??? [25] 47.5% for-loop [29] 52.5% [37] 632(2.4%) 0(0.0%) loop ...herbie/master/src/core/extraction.rkt:25:2 for-loop [45] 100.0% -------------------------------------------------------------------------------- for-loop [29] 100.0% [38] 324(1.2%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:59:4 prune-phase [48] 100.0% -------------------------------------------------------------------------------- temp85_0 [31] 100.0% [39] 296(1.1%) 0(0.0%) compile15 (unknown source) temp91_0 [49] 100.0% -------------------------------------------------------------------------------- taylor-alt [32] 100.0% [40] 296(1.1%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:152:6 ??? [43] 100.0% -------------------------------------------------------------------------------- ??? [33] 100.0% [41] 12002(46.1%) 334(1.3%) for-loop ...rbie/master/src/core/simplify.rkt:93:2 for-loop [50] 97.2% -------------------------------------------------------------------------------- ??? [33] 100.0% [42] 5610(21.6%) 0(0.0%) find-matches .../master/src/core/simplify.rkt:84:0 for-loop [51] 100.0% -------------------------------------------------------------------------------- ??? [10] 2.6% location-do [60] 2.6% for-loop [40] 2.6% ??? [26] 17.4% ??? [30] 18.0% ??? [19] 56.9% [43] 3838(14.8%) 654(2.5%) ??? ...tract/private/arrow-higher-order.rkt:360:33 sample-multi-bounded [52] 48.6% ival-mult [54] 18.0% mk-ival [57] 8.6% location-do [60] 2.6% approximate9 [2] 2.6% hash-ref! [6] 2.6% -------------------------------------------------------------------------------- precompute-phase [35] 100.0% [44] 708(2.7%) 0(0.0%) for-loop ...bie/master/src/core/simplify.rkt:102:2 set-precompute! [53] 100.0% -------------------------------------------------------------------------------- loop [37] 100.0% [45] 632(2.4%) 0(0.0%) for-loop ...ie/master/src/core/extraction.rkt:29:4 for-loop [55] 100.0% -------------------------------------------------------------------------------- ??? [34] 100.0% [46] 388(1.5%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:541:4 ??? [56] 100.0% -------------------------------------------------------------------------------- ??? [34] 100.0% [47] 336(1.3%) 0(0.0%) ival-sub ...erbie/master/src/biginterval.rkt:107:0 bfmul [66] 100.0% -------------------------------------------------------------------------------- for-loop [38] 100.0% [48] 324(1.2%) 0(0.0%) prune-phase .../master/src/core/simplify.rkt:106:0 for-loop [58] 100.0% -------------------------------------------------------------------------------- compile15 [39] 100.0% [49] 296(1.1%) 0(0.0%) temp91_0 (unknown source) temp118_0 [59] 100.0% -------------------------------------------------------------------------------- for-loop [41] 100.0% [50] 11668(44.9%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:96:4 merge-egraph-nodes! [61] 80.5% dedup-children! [79] 11.5% mk-enode-rec! [87] 8.0% -------------------------------------------------------------------------------- for-loop [51] 50.0% find-matches [42] 50.0% [51] 5610(21.6%) 298(1.1%) for-loop ...rbie/master/src/core/simplify.rkt:86:8 for-loop [51] 50.0% match-e [62] 47.3% -------------------------------------------------------------------------------- ??? [43] 100.0% [52] 1866(7.2%) 312(1.2%) sample-multi-bounded ...master/src/points.rkt:15:0 random-ranges [63] 44.5% return/no-unsupplied [64] 38.8% -------------------------------------------------------------------------------- for-loop [44] 100.0% [53] 708(2.7%) 0(0.0%) set-precompute! ...ter/src/core/simplify.rkt:110:0 for-loop [65] 100.0% -------------------------------------------------------------------------------- ??? [43] 100.0% [54] 692(2.7%) 334(1.3%) ival-mult ...rbie/master/src/biginterval.rkt:119:0 bfmul [66] 51.7% -------------------------------------------------------------------------------- for-loop [45] 100.0% [55] 632(2.4%) 300(1.2%) for-loop ...e/master/src/core/extraction.rkt:37:16 for-loop [67] 52.5% -------------------------------------------------------------------------------- ??? [46] 100.0% [56] 388(1.5%) 388(1.5%) ??? ...lects/racket/contract/private/orc.rkt:83:14 -------------------------------------------------------------------------------- ??? [43] 100.0% [57] 330(1.3%) 0(0.0%) mk-ival .../herbie/master/src/biginterval.rkt:65:0 bf [68] 100.0% -------------------------------------------------------------------------------- prune-phase [48] 100.0% [58] 324(1.2%) 0(0.0%) for-loop ...bie/master/src/core/simplify.rkt:107:2 update-leader! [71] 100.0% -------------------------------------------------------------------------------- temp91_0 [49] 100.0% [59] 296(1.1%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [69] 100.0% -------------------------------------------------------------------------------- location-do [60] 50.0% ??? [43] 50.0% [60] 296(1.1%) 0(0.0%) location-do ...herbie/master/src/programs.rkt:64:0 location-do [60] 50.0% ??? [43] 50.0% -------------------------------------------------------------------------------- for-loop [72] 3.2% merge-egraph-nodes! [61] 5.4% for-loop [50] 91.4% [61] 9392(36.1%) 0(0.0%) merge-egraph-nodes! ...r/src/core/egraph.rkt:145:0 update-leader! [71] 43.9% loop! [84] 41.0% for-loop [72] 6.4% merge-egraph-nodes! [61] 5.4% dedup-children! [79] 3.2% -------------------------------------------------------------------------------- for-loop [78] 36.2% for-loop [51] 63.8% [62] 5312(20.4%) 1542(5.9%) match-e .../herbie/master/src/core/ematch.rkt:39:0 for-loop [70] 79.9% variable? [74] 5.4% -------------------------------------------------------------------------------- sample-multi-bounded [52] 100.0% [63] 830(3.2%) 830(3.2%) random-ranges ...erbie/master/src/common.rkt:171:0 -------------------------------------------------------------------------------- sample-multi-bounded [52] 100.0% [64] 724(2.8%) 724(2.8%) return/no-unsupplied ...ct/private/arr-i.rkt:542:0 -------------------------------------------------------------------------------- set-precompute! [53] 100.0% [65] 708(2.7%) 304(1.2%) for-loop ...bie/master/src/core/simplify.rkt:112:2 ??? [5] 57.1% -------------------------------------------------------------------------------- ival-sub [47] 48.4% ival-mult [54] 51.6% [66] 694(2.7%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:821:4 ??? [73] 100.0% -------------------------------------------------------------------------------- for-loop [55] 100.0% [67] 332(1.3%) 332(1.3%) for-loop ...e/master/src/core/extraction.rkt:41:23 -------------------------------------------------------------------------------- mk-ival [57] 100.0% [68] 330(1.3%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [75] 100.0% -------------------------------------------------------------------------------- temp118_0 [59] 100.0% [69] 296(1.1%) 296(1.1%) expand-capturing-lifts (unknown source) -------------------------------------------------------------------------------- match-e [62] 100.0% [70] 4986(19.2%) 1828(7.0%) for-loop ...erbie/master/src/core/ematch.rkt:52:11 for-loop [78] 53.5% procedure-reduce-keyword-arity-mask [81] 9.6% loop [77] 6.7% make-curried [83] 3.0% -------------------------------------------------------------------------------- for-loop [58] 7.3% merge-egraph-nodes! [61] 92.7% [71] 4450(17.1%) 0(0.0%) update-leader! ...master/src/core/egraph.rkt:213:0 for-loop [76] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [61] 100.0% [72] 898(3.5%) 0(0.0%) for-loop ...erbie/master/src/core/egraph.rkt:199:4 merge-egraph-nodes! [61] 66.6% dedup-children! [79] 33.4% -------------------------------------------------------------------------------- bfmul [66] 100.0% [73] 694(2.7%) 694(2.7%) ??? /opt/racket-7.2/collects/ffi/unsafe.rkt:905:4 -------------------------------------------------------------------------------- match-e [62] 100.0% [74] 686(2.6%) 0(0.0%) variable? ...ie/master/src/syntax/syntax.rkt:729:0 ??? [80] 52.2% value? [82] 47.8% -------------------------------------------------------------------------------- bf [68] 100.0% [75] 330(1.3%) 330(1.3%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 -------------------------------------------------------------------------------- update-leader! [71] 100.0% [76] 4450(17.1%) 0(0.0%) for-loop ...erbie/master/src/core/egraph.rkt:218:6 hash-update! [92] 51.5% for-loop [85] 48.5% -------------------------------------------------------------------------------- for-loop [70] 0.0% loop! [84] 2.8% for-loop [13] 9.5% mk-enode-rec! [87] 24.5% loop [77] 63.2% [77] 3824(14.7%) 0(0.0%) loop ...-7.2/collects/racket/private/map.rkt:40:19 loop [77] 63.2% mk-enode-rec! [87] 24.5% ??? [26] 9.5% loop! [84] 2.8% foldl [91] 0.0% -------------------------------------------------------------------------------- for-loop [70] 100.0% [78] 3430(13.2%) 0(0.0%) for-loop ...erbie/master/src/core/ematch.rkt:58:37 match-e [62] 100.0% -------------------------------------------------------------------------------- for-loop [72] 15.4% merge-egraph-nodes! [61] 15.6% for-loop [50] 69.0% [79] 1942(7.5%) 0(0.0%) dedup-children! ...master/src/core/enode.rkt:202:0 loop [86] 81.8% loop [89] 18.2% -------------------------------------------------------------------------------- finalize-iter! [21] 48.4% variable? [74] 51.6% [80] 694(2.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:390:18 ??? [88] 51.6% for-loop [90] 48.4% -------------------------------------------------------------------------------- for-loop [70] 100.0% [81] 626(2.4%) 626(2.4%) procedure-reduce-keyword-arity-mask ....rkt:1562:4 -------------------------------------------------------------------------------- variable? [74] 100.0% [82] 328(1.3%) 328(1.3%) value? .../herbie/master/src/syntax/types.rkt:18:0 -------------------------------------------------------------------------------- for-loop [70] 100.0% [83] 298(1.1%) 298(1.1%) make-curried ...collects/racket/function.rkt:130:9 -------------------------------------------------------------------------------- loop [77] 24.6% merge-egraph-nodes! [61] 75.4% [84] 4664(17.9%) 638(2.5%) loop! ...es/herbie/master/src/core/enode.rkt:194:2 custom-set-union [93] 56.5% loop [77] 24.6% set [101] 8.5% update-en-expr [107] 3.5% -------------------------------------------------------------------------------- for-loop [76] 100.0% [85] 2160(8.3%) 0(0.0%) for-loop ...erbie/master/src/core/egraph.rkt:219:8 hash-update! [92] 100.0% -------------------------------------------------------------------------------- dedup-children! [79] 15.1% loop [86] 84.9% [86] 1588(6.1%) 1588(6.1%) loop ...racket-7.2/collects/racket/list.rkt:434:17 loop [86] 84.9% -------------------------------------------------------------------------------- loop [77] 50.0% for-loop [50] 50.0% [87] 936(3.6%) 0(0.0%) mk-enode-rec! .../master/src/core/egraph.rkt:117:0 loop [77] 50.0% new-enode [95] 33.4% hash-has-key? [98] 16.6% -------------------------------------------------------------------------------- ??? [80] 100.0% [88] 358(1.4%) 358(1.4%) ??? ...ects/racket/contract/private/guts.rkt:772:8 -------------------------------------------------------------------------------- loop [89] 50.0% dedup-children! [79] 50.0% [89] 354(1.4%) 0(0.0%) loop ...racket-7.2/collects/racket/list.rkt:417:34 loop [89] 50.0% member [96] 50.0% -------------------------------------------------------------------------------- ??? [80] 100.0% [90] 336(1.3%) 0(0.0%) for-loop ...bie/master/src/core/alt-table.rkt:55:2 errors [94] 100.0% -------------------------------------------------------------------------------- loop [77] 100.0% [91] 332(1.3%) 0(0.0%) foldl ....2/collects/racket/private/list.rkt:229:4 merge2 [97] 100.0% -------------------------------------------------------------------------------- for-loop [85] 48.5% for-loop [76] 51.5% [92] 4450(17.1%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [99] 100.0% -------------------------------------------------------------------------------- loop! [84] 100.0% [93] 2802(10.8%) 958(3.7%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [100] 65.8% -------------------------------------------------------------------------------- ??? [5] 48.5% for-loop [90] 51.5% [94] 652(2.5%) 0(0.0%) errors ...tlies/herbie/master/src/points.rkt:201:0 for-loop [102] 100.0% -------------------------------------------------------------------------------- mk-enode-rec! [87] 100.0% [95] 626(2.4%) 0(0.0%) new-enode ...erbie/master/src/core/enode.rkt:101:0 set [101] 52.1% type-of-enode-expr [103] 47.9% -------------------------------------------------------------------------------- loop [89] 100.0% [96] 354(1.4%) 354(1.4%) member (unknown source) -------------------------------------------------------------------------------- foldl [91] 100.0% [97] 332(1.3%) 332(1.3%) merge2 ...s/herbie/master/src/core/ematch.rkt:24:0 -------------------------------------------------------------------------------- mk-enode-rec! [87] 100.0% [98] 310(1.2%) 310(1.2%) hash-has-key? ...ket/private/more-scheme.rkt:371:2 -------------------------------------------------------------------------------- hash-update! [92] 100.0% [99] 4450(17.1%) 0(0.0%) ??? ...es/herbie/master/src/core/egraph.rkt:221:24 for-loop [104] 100.0% -------------------------------------------------------------------------------- custom-set-union [93] 100.0% [100] 1844(7.1%) 644(2.5%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [105] 65.1% -------------------------------------------------------------------------------- new-enode [95] 26.7% loop! [84] 73.3% [101] 1222(4.7%) 1222(4.7%) set ...collects/racket/private/set-types.rkt:981:0 -------------------------------------------------------------------------------- errors [94] 100.0% [102] 652(2.5%) 0(0.0%) for-loop ...ies/herbie/master/src/points.rkt:203:2 ??? [5] 100.0% -------------------------------------------------------------------------------- new-enode [95] 100.0% [103] 300(1.2%) 0(0.0%) type-of-enode-expr ...ster/src/core/enode.rkt:66:0 table-ref [106] 100.0% -------------------------------------------------------------------------------- ??? [99] 100.0% [104] 4450(17.1%) 4150(16.0%) for-loop ...rbie/master/src/core/egraph.rkt:222:26 update-en-expr [107] 6.7% -------------------------------------------------------------------------------- for-loop [100] 100.0% [105] 1200(4.6%) 1200(4.6%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------------- type-of-enode-expr [103] 100.0% [106] 300(1.2%) 0(0.0%) table-ref ...ies/herbie/master/src/common.rkt:33:0 for-loop [108] 100.0% -------------------------------------------------------------------------------- for-loop [104] 47.8% loop! [84] 52.2% [107] 628(2.4%) 628(2.4%) update-en-expr ...master/src/core/egraph.rkt:207:0 -------------------------------------------------------------------------------- table-ref [106] 100.0% [108] 300(1.2%) 300(1.2%) for-loop ...lies/herbie/master/src/common.rkt:35:4 --------------------------------------------------------------------------------