Profiling results ----------------- Total cpu time observed: 69568ms (out of 70220ms) Number of samples taken: 214 (once every 325ms) (Hiding functions with self<1.0% and local<2.0%: 5 of 215 hidden) ========================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================= ??? [75] 100.0% [1] 69568(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% ------------------------------------------------------------------------- ??? [75] 100.0% [2] 45044(64.7%) 0(0.0%) run-improve40 ...ie/develop/src/mainloop.rkt:340:0 for-loop [14] 99.4% prepare-points-intervals [82] 0.6% ------------------------------------------------------------------------- ??? [123] 100.0% [3] 5832(8.4%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [15] 83.1% for-loop [20] 11.3% taylor [24] 5.6% ------------------------------------------------------------------------- hash-ref! [149] 100.0% [4] 2358(3.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:291:26 for-loop [16] 100.0% ------------------------------------------------------------------------- stx-pair? [206] 14.7% for-loop [209] 85.3% [5] 2220(3.2%) 326(0.5%) syntax-e (unknown source) syntax-e/no-taint [18] 85.3% ------------------------------------------------------------------------- matcher [62] 100.0% [6] 1898(2.7%) 0(0.0%) ??? .../herbie/develop/src/core/matcher.rkt:175:11 for-loop [17] 100.0% ------------------------------------------------------------------------- hash-ref! [149] 100.0% [7] 696(1.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:510:23 for-loop [19] 100.0% ------------------------------------------------------------------------- hash-ref! [149] 100.0% [8] 360(0.5%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:301:23 for-loop [21] 100.0% ------------------------------------------------------------------------- copying-mergesort [156] 100.0% [9] 334(0.5%) 0(0.0%) jloop ...0/collects/racket/private/sort.rkt:120:23 ??? [123] 100.0% ------------------------------------------------------------------------- for-loop [209] 100.0% [10] 300(0.4%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [203] 100.0% ------------------------------------------------------------------------- for-loop [209] 100.0% [11] 298(0.4%) 0(0.0%) compile5 (unknown source) compile-let13 [22] 100.0% ------------------------------------------------------------------------- match-e [68] 100.0% [12] 298(0.4%) 0(0.0%) variable? .../develop/src/syntax/syntax.rkt:1159:0 ??? [32] 100.0% ------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [13] 69568(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [75] 100.0% ------------------------------------------------------------------------- run-improve40 [2] 100.0% [14] 44752(64.3%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:355:4 run-iter! [23] 100.0% ------------------------------------------------------------------------- approximate9 [3] 100.0% [15] 4846(7.0%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 ??? [123] 100.0% ------------------------------------------------------------------------- ??? [4] 100.0% [16] 2358(3.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:291:52 hash-ref! [149] 57.9% ??? [25] 26.8% simplify [113] 15.3% ------------------------------------------------------------------------- ??? [6] 100.0% [17] 1898(2.7%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:179:21 matcher [62] 100.0% ------------------------------------------------------------------------- syntax-e [5] 100.0% [18] 1894(2.7%) 0(0.0%) syntax-e/no-taint (unknown source) loop [196] 100.0% ------------------------------------------------------------------------- ??? [7] 100.0% [19] 696(1.0%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:514:35 parse-loop80 [124] 100.0% ------------------------------------------------------------------------- approximate9 [3] 100.0% [20] 660(0.9%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:30:18 taylor [24] 100.0% ------------------------------------------------------------------------- ??? [8] 100.0% [21] 360(0.5%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:304:27 hash-ref! [149] 100.0% ------------------------------------------------------------------------- compile5 [11] 100.0% [22] 298(0.4%) 0(0.0%) compile-let13 (unknown source) for-loop [209] 100.0% ------------------------------------------------------------------------- for-loop [14] 100.0% [23] 44752(64.3%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:321:0 simplify! [26] 60.6% finalize-iter! [27] 22.2% gen-series! [28] 13.0% gen-rewrites! [29] 4.2% ------------------------------------------------------------------------- approximate9 [3] 16.5% map [100] 18.3% taylor [24] 31.7% for-loop [20] 33.5% [24] 986(1.4%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:170:0 map [100] 34.8% taylor-sqrt [30] 33.5% taylor [24] 31.7% ------------------------------------------------------------------------- for-loop [16] 100.0% [25] 632(0.9%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:294:19 hash-ref! [149] 52.5% simplify [113] 47.5% ------------------------------------------------------------------------- run-iter! [23] 100.0% [26] 27100(39.0%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:217:0 ??? [31] 97.8% for-loop [35] 2.2% ------------------------------------------------------------------------- run-iter! [23] 100.0% [27] 9922(14.3%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:272:0 ??? [32] 100.0% ------------------------------------------------------------------------- run-iter! [23] 100.0% [28] 5832(8.4%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:153:0 for-loop [33] 100.0% ------------------------------------------------------------------------- run-iter! [23] 100.0% [29] 1898(2.7%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:176:0 for-loop [34] 100.0% ------------------------------------------------------------------------- taylor [24] 100.0% [30] 660(0.9%) 0(0.0%) taylor-sqrt ...e/develop/src/core/taylor.rkt:352:0 simplify [113] 100.0% ------------------------------------------------------------------------- simplify! [26] 100.0% [31] 26492(38.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:26:0 one-iter [42] 43.8% for-loop [36] 41.8% loop [39] 14.3% ------------------------------------------------------------------------- variable? [12] 2.8% match-e [68] 5.6% finalize-iter! [27] 91.6% [32] 10828(15.6%) 906(1.3%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [37] 91.6% ------------------------------------------------------------------------- gen-series! [28] 100.0% [33] 5832(8.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:160:7 taylor-alt [38] 100.0% ------------------------------------------------------------------------- gen-rewrites! [29] 100.0% [34] 1898(2.7%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:184:11 rewrite-expression-head20 [40] 100.0% ------------------------------------------------------------------------- simplify! [26] 100.0% [35] 608(0.9%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:256:6 for-loop [41] 100.0% ------------------------------------------------------------------------- ??? [31] 100.0% [36] 11086(15.9%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:33:2 one-iter [42] 100.0% ------------------------------------------------------------------------- ??? [32] 100.0% [37] 9922(14.3%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:56:2 atab-add-altn [43] 90.5% loop [47] 9.5% ------------------------------------------------------------------------- for-loop [33] 100.0% [38] 5832(8.4%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:139:0 for-loop [44] 100.0% ------------------------------------------------------------------------- ??? [31] 100.0% [39] 3798(5.5%) 310(0.4%) loop ...herbie/develop/src/core/simplify.rkt:132:2 for-loop [45] 91.8% ------------------------------------------------------------------------- for-loop [34] 100.0% [40] 1898(2.7%) 0(0.0%) rewrite-expression-head20 ...ore/matcher.rkt:126:0 rewriter [46] 100.0% ------------------------------------------------------------------------- for-loop [35] 100.0% [41] 608(0.9%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:257:8 for-loop [63] 50.3% ??? [123] 49.7% ------------------------------------------------------------------------- for-loop [36] 48.8% ??? [31] 51.2% [42] 22694(32.6%) 0(0.0%) one-iter ...bie/develop/src/core/simplify.rkt:86:0 find-matches [48] 75.4% for-loop [50] 17.9% for-loop [52] 6.8% ------------------------------------------------------------------------- for-loop [37] 100.0% [43] 8982(12.9%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:202:0 errors [49] 86.0% override-at-pnts [54] 10.7% best-and-tied-at-points [57] 3.3% ------------------------------------------------------------------------- taylor-alt [38] 100.0% [44] 5832(8.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:145:6 ??? [123] 100.0% ------------------------------------------------------------------------- loop [39] 100.0% [45] 3488(5.0%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:138:4 loop [53] 36.4% argmin [55] 27.5% expression-cost [61] 26.5% for-loop [63] 9.6% ------------------------------------------------------------------------- rewrite-expression-head20 [40] 29.8% matcher [62] 70.2% [46] 1898(2.7%) 300(0.4%) rewriter ...bie/develop/src/core/matcher.rkt:128:2 for-loop [51] 87.1% *rules* [56] 9.7% ------------------------------------------------------------------------- for-loop [37] 100.0% [47] 940(1.4%) 604(0.9%) loop ...erbie/develop/src/core/alt-table.rkt:176:2 map [100] 35.7% ------------------------------------------------------------------------- one-iter [42] 100.0% [48] 17100(24.6%) 0(0.0%) find-matches ...develop/src/core/simplify.rkt:56:0 for-loop [58] 100.0% ------------------------------------------------------------------------- ??? [75] 7.9% atab-add-altn [43] 92.1% [49] 8384(12.1%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:228:0 for-loop [59] 62.7% eval-prog [163] 37.3% ------------------------------------------------------------------------- one-iter [42] 100.0% [50] 4052(5.8%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:95:2 apply-match [60] 84.4% update-leader! [85] 15.6% ------------------------------------------------------------------------- rewriter [46] 100.0% [51] 1898(2.7%) 634(0.9%) for-loop ...ie/develop/src/core/matcher.rkt:131:10 matcher [62] 88.9% ------------------------------------------------------------------------- one-iter [42] 100.0% [52] 1542(2.2%) 298(0.4%) for-loop ...ie/develop/src/core/simplify.rkt:100:2 set-precompute! [64] 80.7% ------------------------------------------------------------------------- for-loop [45] 100.0% [53] 1268(1.8%) 0(0.0%) loop .../racket-7.0/collects/racket/list.rkt:751:4 expression-cost [61] 50.0% for-loop [63] 50.0% ------------------------------------------------------------------------- atab-add-altn [43] 100.0% [54] 962(1.4%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:138:0 for-loop [65] 100.0% ------------------------------------------------------------------------- for-loop [45] 100.0% [55] 958(1.4%) 0(0.0%) argmin ...acket-7.0/collects/racket/list.rkt:765:0 expression-cost [61] 62.6% for-loop [63] 37.4% ------------------------------------------------------------------------- rewriter [46] 100.0% [56] 636(0.9%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:783:0 for-loop [66] 100.0% ------------------------------------------------------------------------- atab-add-altn [43] 100.0% [57] 296(0.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:117:0 for-loop [67] 100.0% ------------------------------------------------------------------------- for-loop [58] 47.2% find-matches [48] 52.8% [58] 17100(24.6%) 4658(6.7%) for-loop ...bie/develop/src/core/simplify.rkt:58:8 for-loop [58] 47.2% match-e [68] 36.4% ------------------------------------------------------------------------- errors [49] 100.0% [59] 5260(7.6%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:230:2 ??? [106] 70.4% ulp-difference [127] 12.0% ??? [123] 11.9% point-error [118] 5.7% ------------------------------------------------------------------------- for-loop [50] 100.0% [60] 3418(4.9%) 0(0.0%) apply-match .../develop/src/core/simplify.rkt:65:0 for-loop [70] 55.5% match-e [68] 26.0% custom-set-intersect [73] 9.5% set [128] 9.0% ------------------------------------------------------------------------- argmin [55] 27.8% loop [53] 29.4% for-loop [45] 42.9% [61] 2160(3.1%) 0(0.0%) expression-cost .../develop/src/programs.rkt:204:0 compile [69] 100.0% ------------------------------------------------------------------------- for-loop [17] 50.0% for-loop [51] 50.0% [62] 1898(2.7%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:163:2 ??? [6] 50.0% rewriter [46] 47.1% return/no-unsupplied [151] 2.9% ------------------------------------------------------------------------- for-loop [41] 18.7% for-loop [45] 20.6% argmin [55] 21.9% loop [53] 38.8% [63] 1634(2.3%) 306(0.4%) for-loop .../herbie/develop/src/programs.rkt:205:2 table-ref [182] 81.3% ------------------------------------------------------------------------- for-loop [52] 100.0% [64] 1244(1.8%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:106:0 for-loop [71] 100.0% ------------------------------------------------------------------------- override-at-pnts [54] 100.0% [65] 962(1.4%) 636(0.9%) for-loop .../develop/src/core/alt-table.rkt:139:22 ??? [72] 33.9% ------------------------------------------------------------------------- *rules* [56] 100.0% [66] 636(0.9%) 332(0.5%) for-loop ...ies/herbie/develop/src/common.rkt:71:9 ormap [74] 47.8% ------------------------------------------------------------------------- best-and-tied-at-points [57] 100.0% [67] 296(0.4%) 296(0.4%) for-loop .../develop/src/core/alt-table.rkt:119:16 ------------------------------------------------------------------------- apply-match [60] 5.6% for-loop [83] 17.0% for-loop [58] 77.5% [68] 13332(19.2%) 3966(5.7%) match-e ...herbie/develop/src/core/ematch.rkt:39:0 for-loop [76] 63.6% make-sequence [79] 2.5% ??? [32] 2.3% custom-in-set [81] 2.3% variable? [12] 0.7% ------------------------------------------------------------------------- expression-cost [61] 100.0% [69] 2160(3.1%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:181:0 hash-ref! [149] 100.0% ------------------------------------------------------------------------- apply-match [60] 100.0% [70] 1896(2.7%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:78:2 merge-egraph-nodes! [77] 65.3% dedup-children! [78] 17.6% substitute-e [80] 17.1% ------------------------------------------------------------------------- set-precompute! [64] 100.0% [71] 1244(1.8%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:108:2 ??? [75] 50.2% merge-egraph-nodes! [77] 49.8% ------------------------------------------------------------------------- for-loop [65] 100.0% [72] 326(0.5%) 326(0.5%) ??? ...7.0/collects/racket/private/for.rkt:1208:14 ------------------------------------------------------------------------- apply-match [60] 100.0% [73] 324(0.5%) 324(0.5%) custom-set-intersect ...rivate/set-types.rkt:195:0 ------------------------------------------------------------------------- for-loop [66] 100.0% [74] 304(0.4%) 304(0.4%) ormap ....0/collects/racket/private/map.rkt:141:13 ------------------------------------------------------------------------- for-loop [71] 0.3% run [13] 49.9% [75] 69568(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.9% run-improve40 [2] 32.2% prepare-points-intervals [82] 14.3% oracle-error [84] 2.0% get-final-combination [86] 0.7% errors [49] 0.5% eval-const-expr [150] 0.3% eval-errors [90] 0.2% ------------------------------------------------------------------------- match-e [68] 100.0% [76] 9038(13.0%) 4360(6.3%) for-loop ...rbie/develop/src/core/ematch.rkt:52:11 for-loop [83] 39.6% loop [107] 10.9% cp-2 [94] 4.9% foldr [89] 3.3% filter [167] 1.8% ------------------------------------------------------------------------- for-loop [71] 13.8% merge-egraph-nodes! [77] 27.6% for-loop [70] 58.6% [77] 1858(2.7%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:145:0 update-leader! [85] 64.3% merge-egraph-nodes! [77] 27.6% loop! [121] 8.1% ------------------------------------------------------------------------- for-loop [70] 100.0% [78] 334(0.5%) 0(0.0%) dedup-children! ...evelop/src/core/enode.rkt:199:0 loop [87] 100.0% ------------------------------------------------------------------------- match-e [68] 100.0% [79] 328(0.5%) 328(0.5%) make-sequence ...ects/racket/private/for.rkt:528:2 ------------------------------------------------------------------------- for-loop [70] 100.0% [80] 324(0.5%) 0(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:64:0 for-loop [88] 100.0% ------------------------------------------------------------------------- match-e [68] 100.0% [81] 300(0.4%) 300(0.4%) custom-in-set ...acket/private/set-types.rkt:577:0 ------------------------------------------------------------------------- run-improve40 [2] 1.4% without-timeline [184] 1.5% ??? [75] 97.1% [82] 20482(29.4%) 0(0.0%) prepare-points-intervals ...p/src/points.rkt:133:0 loop [91] 100.0% ------------------------------------------------------------------------- for-loop [76] 100.0% [83] 5022(7.2%) 628(0.9%) for-loop ...rbie/develop/src/core/ematch.rkt:58:37 match-e [68] 84.8% ??? [97] 5.9% ------------------------------------------------------------------------- ??? [75] 100.0% [84] 2718(3.9%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:212:0 for-loop [92] 100.0% ------------------------------------------------------------------------- for-loop [50] 28.9% merge-egraph-nodes! [77] 71.1% [85] 2192(3.2%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:213:0 for-loop [93] 100.0% ------------------------------------------------------------------------- ??? [75] 100.0% [86] 968(1.4%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:361:0 infer-splitpoints [95] 68.0% f67 [141] 32.0% ------------------------------------------------------------------------- dedup-children! [78] 6.2% loop [87] 93.8% [87] 334(0.5%) 334(0.5%) loop ...racket-7.0/collects/racket/list.rkt:434:17 loop [87] 93.8% ------------------------------------------------------------------------- substitute-e [80] 100.0% [88] 324(0.5%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:73:24 mk-enode! [96] 100.0% ------------------------------------------------------------------------- for-loop [76] 100.0% [89] 300(0.4%) 0(0.0%) foldr ....0/collects/racket/private/list.rkt:242:4 cp-2 [94] 100.0% ------------------------------------------------------------------------- ??? [75] 100.0% [90] 298(0.4%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:203:0 for-loop [98] 100.0% ------------------------------------------------------------------------- prepare-points-intervals [82] 100.0% [91] 20482(29.4%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:145:4 loop [99] 93.4% ??? [101] 6.6% ------------------------------------------------------------------------- oracle-error [84] 100.0% [92] 2718(3.9%) 300(0.4%) for-loop ...es/herbie/develop/src/points.rkt:213:2 loop [107] 77.9% map [100] 11.0% ------------------------------------------------------------------------- update-leader! [85] 100.0% [93] 2192(3.2%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:218:6 hash-update! [108] 55.3% for-loop [102] 44.7% ------------------------------------------------------------------------- foldr [89] 33.7% for-loop [76] 66.3% [94] 890(1.3%) 300(0.4%) cp-2 .../racket-7.0/collects/racket/list.rkt:826:2 for-loop [104] 66.3% ------------------------------------------------------------------------- get-final-combination [86] 100.0% [95] 658(0.9%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:34:0 for-loop [103] 100.0% ------------------------------------------------------------------------- for-loop [88] 100.0% [96] 324(0.5%) 0(0.0%) mk-enode! ...rbie/develop/src/core/egraph.rkt:99:0 hash-has-key? [105] 100.0% ------------------------------------------------------------------------- for-loop [83] 100.0% [97] 298(0.4%) 298(0.4%) ??? ...ies/herbie/develop/src/core/ematch.rkt:43:5 ------------------------------------------------------------------------- eval-errors [90] 100.0% [98] 298(0.4%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:205:2 ??? [123] 100.0% ------------------------------------------------------------------------- loop [91] 100.0% [99] 19138(27.5%) 906(1.3%) loop ...htlies/herbie/develop/src/points.rkt:104:2 ??? [106] 86.9% ??? [123] 5.3% hash-update! [108] 3.0% ------------------------------------------------------------------------- f67 [141] 18.5% for-loop [92] 18.5% loop [47] 20.7% taylor [24] 42.3% [100] 1622(2.3%) 300(0.4%) map ...t-7.0/collects/racket/private/map.rkt:35:13 taylor [24] 22.2% loop [107] 20.7% taylor-invert [111] 20.1% f67 [141] 18.5% ------------------------------------------------------------------------- loop [91] 100.0% [101] 1344(1.9%) 0(0.0%) ??? ...ghtlies/herbie/develop/src/points.rkt:129:2 ??? [123] 48.4% compose [110] 29.3% ??? [122] 22.3% ------------------------------------------------------------------------- for-loop [93] 100.0% [102] 980(1.4%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:219:8 hash-update! [108] 100.0% ------------------------------------------------------------------------- infer-splitpoints [95] 100.0% [103] 658(0.9%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:46:6 option-on-expr [109] 100.0% ------------------------------------------------------------------------- cp-2 [94] 100.0% [104] 590(0.8%) 590(0.8%) for-loop ...ket-7.0/collects/racket/list.rkt:827:4 ------------------------------------------------------------------------- mk-enode! [96] 100.0% [105] 324(0.5%) 324(0.5%) hash-has-key? ...ket/private/more-scheme.rkt:371:2 ------------------------------------------------------------------------- parse-loop80 [124] 1.4% ??? [117] 1.4% loop [107] 4.2% for-loop [59] 16.9% loop [99] 76.1% [106] 21854(31.4%) 300(0.4%) ??? ...tlies/herbie/develop/src/programs.rkt:146:2 ??? [112] 81.0% ??? [123] 16.2% ------------------------------------------------------------------------- map [100] 0.9% loop! [121] 4.0% for-loop [76] 16.5% for-loop [92] 35.1% loop [107] 43.6% [107] 3742(5.4%) 0(0.0%) loop ...-7.0/collects/racket/private/map.rkt:40:19 loop [107] 43.6% ??? [106] 16.2% foldl [116] 13.5% ??? [117] 12.1% point-error [118] 4.0% loop! [121] 4.0% loop [120] 3.0% ??? [123] 2.7% ??? [119] 0.9% ------------------------------------------------------------------------- loop [99] 20.9% for-loop [102] 35.4% for-loop [93] 43.7% [108] 2772(4.0%) 580(0.8%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [114] 79.1% ------------------------------------------------------------------------- for-loop [103] 100.0% [109] 658(0.9%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:150:0 sort-context-on-expr [115] 100.0% ------------------------------------------------------------------------- ??? [101] 100.0% [110] 394(0.6%) 394(0.6%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------- map [100] 100.0% [111] 326(0.5%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:318:0 simplify [113] 100.0% ------------------------------------------------------------------------- ??? [106] 100.0% [112] 17706(25.5%) 602(0.9%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [122] 81.1% ??? [125] 13.6% double->posit16 [130] 1.9% ------------------------------------------------------------------------- ??? [25] 5.1% taylor-invert [111] 5.6% for-loop [16] 6.2% taylor-sqrt [30] 11.3% hash-ref! [149] 71.8% [113] 5832(8.4%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 parse-loop80 [124] 77.9% f67 [141] 11.3% debug5 [132] 5.6% debug-print [134] 5.1% ------------------------------------------------------------------------- hash-update! [108] 100.0% [114] 2192(3.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:221:24 for-loop [126] 85.1% update-en-expr [133] 14.9% ------------------------------------------------------------------------- option-on-expr [109] 100.0% [115] 658(0.9%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:145:0 ??? [131] 50.8% eval-prog [163] 49.2% ------------------------------------------------------------------------- loop [107] 100.0% [116] 654(0.9%) 356(0.5%) foldl ....0/collects/racket/private/list.rkt:229:4 merge2 [135] 45.6% ------------------------------------------------------------------------- loop [107] 100.0% [117] 602(0.9%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:214:26 ??? [106] 50.2% ??? [123] 49.8% ------------------------------------------------------------------------- for-loop [59] 50.0% loop [107] 50.0% [118] 600(0.9%) 0(0.0%) point-error ...herbie/develop/src/points.rkt:195:0 ulp-difference [127] 100.0% ------------------------------------------------------------------------- loop [107] 100.0% [119] 336(0.5%) 0(0.0%) ??? ...erbie/develop/src/core/alt-table.rkt:193:30 loop [129] 100.0% ------------------------------------------------------------------------- loop [107] 100.0% [120] 334(0.5%) 334(0.5%) loop ...cket-7.0/collects/racket/function.rkt:53:6 ------------------------------------------------------------------------- loop [107] 50.0% merge-egraph-nodes! [77] 50.0% [121] 300(0.4%) 0(0.0%) loop! ...s/herbie/develop/src/core/enode.rkt:191:2 loop [107] 50.0% set [128] 50.0% ------------------------------------------------------------------------- fold-binary-pred [154] 2.0% ??? [101] 2.0% ??? [112] 95.9% [122] 14666(21.1%) 900(1.3%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ival-log [136] 69.2% ival-add [139] 20.4% ival-sub [142] 6.3% ------------------------------------------------------------------------- for-loop [98] 2.3% ??? [117] 2.3% for-loop [41] 2.3% loop [107] 2.3% jloop [9] 2.5% for-loop [59] 4.7% ??? [101] 4.9% loop [99] 7.7% loop [15] 12.2% location-do [137] 16.0% for-loop [44] 16.0% ??? [106] 26.9% [123] 13210(19.0%) 302(0.4%) ??? ...tract/private/arrow-higher-order.rkt:357:33 ->flonum [138] 31.4% mk-ival [140] 17.2% location-do [137] 16.0% approximate9 [3] 16.0% hash-ref! [149] 12.2% sample-multi-bounded [144] 4.9% ------------------------------------------------------------------------- for-loop [19] 10.8% parse-loop80 [124] 21.5% simplify [113] 67.7% [124] 4906(7.1%) 0(0.0%) parse-loop80 ...s/racket/match/compiler.rkt:418:15 eval-const-expr [150] 53.6% parse-loop80 [124] 21.5% for-loop [143] 10.8% f67 [141] 8.1% ??? [106] 6.1% ------------------------------------------------------------------------- ??? [112] 100.0% [125] 2404(3.5%) 902(1.3%) ??? ...herbie/develop/src/syntax/syntax.rkt:317:17 return/no-unsupplied [151] 62.5% ------------------------------------------------------------------------- ??? [114] 100.0% [126] 1866(2.7%) 1866(2.7%) for-loop ...bie/develop/src/core/egraph.rkt:222:26 ------------------------------------------------------------------------- point-error [118] 48.8% for-loop [59] 51.2% [127] 1230(1.8%) 0(0.0%) ulp-difference ...erbie/develop/src/float.rkt:14:0 ??? [153] 75.6% return/no-unsupplied [151] 24.4% ------------------------------------------------------------------------- loop! [121] 49.3% apply-match [60] 50.7% [128] 608(0.9%) 608(0.9%) set ...collects/racket/private/set-types.rkt:981:0 ------------------------------------------------------------------------- ??? [119] 33.3% loop [129] 66.7% [129] 336(0.5%) 336(0.5%) loop ...7.0/collects/racket/private/list.rkt:82:16 loop [129] 66.7% ------------------------------------------------------------------------- ??? [112] 100.0% [130] 334(0.5%) 0(0.0%) double->posit16 ...ftposit-rkt/softposit.rkt:248:0 get-ffi-obj* [145] 100.0% ------------------------------------------------------------------------- sort-context-on-expr [115] 100.0% [131] 334(0.5%) 0(0.0%) ??? ...-7.0/collects/racket/private/sort.rkt:369:3 generic-sort/key [146] 100.0% ------------------------------------------------------------------------- simplify [113] 100.0% [132] 326(0.5%) 326(0.5%) debug5 ...tlies/herbie/develop/src/debug.rkt:102:0 ------------------------------------------------------------------------- ??? [114] 100.0% [133] 326(0.5%) 326(0.5%) update-en-expr ...evelop/src/core/egraph.rkt:207:0 ------------------------------------------------------------------------- simplify [113] 100.0% [134] 300(0.4%) 0(0.0%) debug-print .../herbie/develop/src/debug.rkt:110:0 ??? [147] 100.0% ------------------------------------------------------------------------- foldl [116] 100.0% [135] 298(0.4%) 298(0.4%) merge2 .../herbie/develop/src/core/ematch.rkt:24:0 ------------------------------------------------------------------------- ??? [122] 100.0% [136] 10444(15.0%) 1516(2.2%) ival-log ...rbie/develop/src/biginterval.rkt:179:0 ??? [148] 77.0% fold-binary-pred [154] 5.7% force [162] 2.8% ------------------------------------------------------------------------- location-do [137] 29.3% ??? [123] 70.7% [137] 5832(8.4%) 0(0.0%) location-do ...rbie/develop/src/programs.rkt:111:0 ??? [123] 70.7% location-do [137] 29.3% ------------------------------------------------------------------------- ??? [123] 100.0% [138] 4152(6.0%) 2590(3.7%) ->flonum ...s/herbie/develop/src/programs.rkt:38:0 ??? [153] 15.3% return/no-unsupplied [151] 15.1% list-member? [158] 7.3% ------------------------------------------------------------------------- ??? [122] 100.0% [139] 2992(4.3%) 0(0.0%) ival-add ...erbie/develop/src/biginterval.rkt:87:0 ??? [148] 90.0% ...higher-order.rkt:361:33 [161] 10.0% ------------------------------------------------------------------------- ??? [123] 100.0% [140] 2274(3.3%) 0(0.0%) mk-ival ...herbie/develop/src/biginterval.rkt:59:0 bf [152] 100.0% ------------------------------------------------------------------------- map [100] 12.4% get-final-combination [86] 19.2% simplify [113] 28.5% parse-loop80 [124] 39.8% [141] 1612(2.3%) 0(0.0%) f67 ...0/collects/racket/match/compiler.rkt:507:40 eval-const-expr [150] 68.4% sindices->spoints [157] 19.2% map [100] 12.4% ------------------------------------------------------------------------- ??? [122] 100.0% [142] 930(1.3%) 0(0.0%) ival-sub ...erbie/develop/src/biginterval.rkt:93:0 ??? [148] 100.0% ------------------------------------------------------------------------- parse-loop80 [124] 100.0% [143] 696(1.0%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:517:59 hash-ref! [149] 100.0% ------------------------------------------------------------------------- ??? [123] 100.0% [144] 650(0.9%) 350(0.5%) sample-multi-bounded ...evelop/src/points.rkt:16:0 loop [160] 46.2% ------------------------------------------------------------------------- double->posit16 [130] 100.0% [145] 334(0.5%) 0(0.0%) get-ffi-obj* ...-7.0/collects/ffi/unsafe.rkt:209:2 get-ffi-lib9 [155] 100.0% ------------------------------------------------------------------------- ??? [131] 100.0% [146] 334(0.5%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [156] 100.0% ------------------------------------------------------------------------- debug-print [134] 100.0% [147] 300(0.4%) 0(0.0%) ??? .../contract/private/arrow-val-first.rkt:428:3 ~r78 [159] 100.0% ------------------------------------------------------------------------- ival-sub [142] 8.0% ival-add [139] 23.1% ival-log [136] 68.9% [148] 11662(16.8%) 4988(7.2%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bflog [165] 28.7% bfadd [166] 28.6% ------------------------------------------------------------------------- ??? [25] 1.6% for-loop [143] 1.8% for-loop [21] 2.1% for-loop [16] 5.7% ??? [168] 12.6% compile [69] 18.2% ??? [164] 25.3% ??? [123] 29.6% [149] 7006(10.1%) 1526(2.2%) hash-ref! .../racket/private/more-scheme.rkt:376:2 simplify [113] 26.4% ??? [164] 25.3% ??? [168] 16.4% ??? [4] 10.4% ??? [8] 2.1% ??? [7] 1.8% ------------------------------------------------------------------------- ??? [75] 11.3% f67 [141] 23.5% parse-loop80 [124] 65.2% [150] 5530(7.9%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:149:0 eval-prog [163] 100.0% ------------------------------------------------------------------------- ulp-difference [127] 10.9% matcher [62] 11.9% ->flonum [138] 22.7% ??? [125] 54.5% [151] 2756(4.0%) 1528(2.2%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [167] 44.6% ------------------------------------------------------------------------- mk-ival [140] 100.0% [152] 2274(3.3%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [174] 100.0% ------------------------------------------------------------------------- ->flonum [138] 40.5% ulp-difference [127] 59.5% [153] 1564(2.2%) 1564(2.2%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 ------------------------------------------------------------------------- ival-log [136] 100.0% [154] 600(0.9%) 0(0.0%) fold-binary-pred ...gfloat/bigfloat-mpfr.rkt:117:0 ??? [122] 100.0% ------------------------------------------------------------------------- get-ffi-obj* [145] 100.0% [155] 334(0.5%) 0(0.0%) get-ffi-lib9 ...-7.0/collects/ffi/unsafe.rkt:121:0 get-cross-lib-search-dirs [169] 100.0% ------------------------------------------------------------------------- generic-sort/key [146] 25.0% copying-mergesort [156] 75.0% [156] 334(0.5%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [156] 75.0% jloop [9] 25.0% ------------------------------------------------------------------------- f67 [141] 100.0% [157] 310(0.4%) 0(0.0%) sindices->spoints ...op/src/core/regimes.rkt:215:0 for-loop [170] 100.0% ------------------------------------------------------------------------- ->flonum [138] 100.0% [158] 302(0.4%) 302(0.4%) list-member? ...llects/racket/private/set.rkt:24:0 ------------------------------------------------------------------------- ??? [147] 100.0% [159] 300(0.4%) 300(0.4%) ~r78 ...acket-7.0/collects/racket/format.rkt:189:0 ------------------------------------------------------------------------- sample-multi-bounded [144] 100.0% [160] 300(0.4%) 0(0.0%) loop ...ghtlies/herbie/develop/src/points.rkt:45:6 random-exp [171] 100.0% ------------------------------------------------------------------------- ival-add [139] 100.0% [161] 300(0.4%) 0(0.0%) ...higher-order.rkt:361:33 (unknown source) ??? [172] 100.0% ------------------------------------------------------------------------- ival-log [136] 100.0% [162] 288(0.4%) 288(0.4%) force ...collects/racket/private/promise.rkt:109:0 ------------------------------------------------------------------------- sort-context-on-expr [115] 3.6% errors [49] 34.8% eval-const-expr [150] 61.6% [163] 8978(12.9%) 0(0.0%) eval-prog ...herbie/develop/src/programs.rkt:130:0 temp68_2 [173] 85.7% eval-one-top12 [176] 3.7% inductor [177] 3.7% eval [178] 3.6% loop [196] 3.3% ------------------------------------------------------------------------- hash-ref! [149] 100.0% [164] 4546(6.5%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:45:15 hash-ref! [149] 100.0% ------------------------------------------------------------------------- ??? [148] 100.0% [165] 3344(4.8%) 624(0.9%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:618:4 new-mpfr [174] 49.3% ??? [175] 32.0% ------------------------------------------------------------------------- ??? [148] 100.0% [166] 3330(4.8%) 300(0.4%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:821:4 ??? [175] 62.3% new-mpfr [174] 28.6% ------------------------------------------------------------------------- for-loop [76] 21.4% return/no-unsupplied [151] 78.6% [167] 1562(2.2%) 1562(2.2%) filter ...0/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------- hash-ref! [149] 100.0% [168] 1560(2.2%) 634(0.9%) ??? ...tlies/herbie/develop/src/programs.rkt:189:5 hash-ref! [149] 83.2% ------------------------------------------------------------------------- get-ffi-lib9 [155] 100.0% [169] 334(0.5%) 334(0.5%) get-cross-lib-search-dirs ...rivate/dirs.rkt:168:7 ------------------------------------------------------------------------- sindices->spoints [157] 100.0% [170] 310(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:253:9 pred [179] 100.0% ------------------------------------------------------------------------- loop [160] 100.0% [171] 300(0.4%) 300(0.4%) random-exp .../herbie/develop/src/common.rkt:173:0 ------------------------------------------------------------------------- ...higher-order.rkt:361:33 [161] 100.0% [172] 300(0.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:209:10 ??? [180] 100.0% ------------------------------------------------------------------------- eval-prog [163] 100.0% [173] 7690(11.1%) 0(0.0%) temp68_2 (unknown source) compile16 [181] 100.0% ------------------------------------------------------------------------- bfadd [166] 19.6% bflog [165] 33.8% bf [152] 46.6% [174] 4878(7.0%) 4878(7.0%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ------------------------------------------------------------------------- bflog [165] 34.0% bfadd [166] 66.0% [175] 3146(4.5%) 3146(4.5%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 ------------------------------------------------------------------------- eval-prog [163] 100.0% [176] 334(0.5%) 334(0.5%) eval-one-top12 (unknown source) ------------------------------------------------------------------------- eval-prog [163] 25.0% inductor [177] 75.0% [177] 330(0.5%) 0(0.0%) inductor .../herbie/develop/src/programs.rkt:135:4 inductor [177] 75.0% table-ref [182] 25.0% ------------------------------------------------------------------------- eval-prog [163] 100.0% [178] 326(0.5%) 0(0.0%) eval (unknown source) datum->syntax6 [183] 100.0% ------------------------------------------------------------------------- for-loop [170] 100.0% [179] 310(0.4%) 0(0.0%) pred .../herbie/develop/src/core/regimes.rkt:224:4 without-timeline [184] 100.0% ------------------------------------------------------------------------- ??? [172] 100.0% [180] 300(0.4%) 300(0.4%) ??? ...ects/racket/contract/private/guts.rkt:746:8 ------------------------------------------------------------------------- temp68_2 [173] 100.0% [181] 7690(11.1%) 0(0.0%) compile16 (unknown source) temp74_0 [185] 100.0% ------------------------------------------------------------------------- inductor [177] 19.9% for-loop [63] 80.1% [182] 1658(2.4%) 964(1.4%) table-ref ...es/herbie/develop/src/common.rkt:42:0 for-loop [186] 41.9% ------------------------------------------------------------------------- eval [178] 100.0% [183] 326(0.5%) 0(0.0%) datum->syntax6 (unknown source) loop [196] 100.0% ------------------------------------------------------------------------- pred [179] 100.0% [184] 310(0.4%) 0(0.0%) without-timeline .../develop/src/timeline.rkt:33:0 prepare-points-intervals [82] 100.0% ------------------------------------------------------------------------- compile16 [181] 100.0% [185] 7690(11.1%) 0(0.0%) temp74_0 (unknown source) expand-single [187] 78.8% compile-top9 [188] 16.9% loop [196] 4.4% ------------------------------------------------------------------------- table-ref [182] 100.0% [186] 694(1.0%) 694(1.0%) for-loop ...ies/herbie/develop/src/common.rkt:44:4 ------------------------------------------------------------------------- temp74_0 [185] 100.0% [187] 6058(8.7%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [189] 100.0% ------------------------------------------------------------------------- temp74_0 [185] 100.0% [188] 1296(1.9%) 360(0.5%) compile-top9 (unknown source) compile-forms31 [190] 72.2% ------------------------------------------------------------------------- loop [196] 9.5% expand-single [187] 90.5% [189] 6692(9.6%) 658(0.9%) expand-capturing-lifts (unknown source) lambda-clause-expander [191] 75.4% dispatch-transformer41 [192] 9.7% loop [196] 5.0% ------------------------------------------------------------------------- compile-top9 [188] 100.0% [190] 936(1.3%) 0(0.0%) compile-forms31 (unknown source) for-loop [209] 68.2% loop! [193] 31.8% ------------------------------------------------------------------------- expand-capturing-lifts [189] 100.0% [191] 5046(7.3%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [194] 87.3% loop [196] 12.7% ------------------------------------------------------------------------- loop [196] 23.3% for-loop [209] 27.3% expand-capturing-lifts [189] 49.4% [192] 1320(1.9%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [195] 100.0% ------------------------------------------------------------------------- compile-forms31 [190] 100.0% [193] 298(0.4%) 0(0.0%) loop! (unknown source) for-loop [209] 100.0% ------------------------------------------------------------------------- lambda-clause-expander [191] 27.9% for-loop [209] 72.1% [194] 4404(6.3%) 0(0.0%) finish-bodys (unknown source) for-loop [209] 100.0% ------------------------------------------------------------------------- dispatch-transformer41 [192] 100.0% [195] 1320(1.9%) 668(1.0%) apply-transformer52 (unknown source) apply-transformer-in-context [197] 24.7% loop [196] 24.7% ------------------------------------------------------------------------- datum->syntax6 [183] 0.5% expand-capturing-lifts [189] 4.4% temp74_0 [185] 4.4% eval-prog [163] 7.8% loop [196] 8.0% apply-transformer52 [195] 8.5% lambda-clause-expander [191] 16.8% syntax-e/no-taint [18] 49.6% [196] 3822(5.5%) 662(1.0%) loop (unknown source) gf [198] 49.6% expand-capturing-lifts [189] 12.2% expand-id-application-form17 [199] 8.7% core-form-sym [201] 8.5% dispatch-transformer41 [192] 8.1% loop [196] 8.0% ------------------------------------------------------------------------- apply-transformer52 [195] 100.0% [197] 326(0.5%) 0(0.0%) apply-transformer-in-context (unknown source) parse-lambda [200] 100.0% ------------------------------------------------------------------------- loop [196] 100.0% [198] 1894(2.7%) 300(0.4%) gf (unknown source) propagation-merge [202] 50.6% propagation-apply [204] 17.7% propagation-apply-shifted [207] 15.8% ------------------------------------------------------------------------- loop [196] 100.0% [199] 334(0.5%) 0(0.0%) expand-id-application-form17 (unknown source) binding-lookup50 [205] 100.0% ------------------------------------------------------------------------- apply-transformer-in-context [197]100.0% [200] 326(0.5%) 0(0.0%) parse-lambda ...llects/racket/private/kw.rkt:585:2 stx-pair? [206] 100.0% ------------------------------------------------------------------------- loop [196] 100.0% [201] 326(0.5%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [203] 100.0% ------------------------------------------------------------------------- gf [198] 100.0% [202] 958(1.4%) 958(1.4%) propagation-merge (unknown source) ------------------------------------------------------------------------- expand-implicit [10] 47.9% core-form-sym [201] 52.1% [203] 626(0.9%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [208] 100.0% ------------------------------------------------------------------------- gf [198] 100.0% [204] 336(0.5%) 336(0.5%) propagation-apply (unknown source) ------------------------------------------------------------------------- expand-id-application-form17 [199]100.0% [205] 334(0.5%) 334(0.5%) binding-lookup50 (unknown source) ------------------------------------------------------------------------- parse-lambda [200] 100.0% [206] 326(0.5%) 0(0.0%) stx-pair? .../collects/racket/private/stx.rkt:40:4 syntax-e [5] 100.0% ------------------------------------------------------------------------- gf [198] 100.0% [207] 300(0.4%) 300(0.4%) propagation-apply-shifted (unknown source) ------------------------------------------------------------------------- resolve+shift28 [203] 100.0% [208] 626(0.9%) 0(0.0%) fallback-loop (unknown source) for-loop [209] 100.0% ------------------------------------------------------------------------- compile-let13 [22] 2.6% loop! [193] 2.6% fallback-loop [208] 6.5% compile-forms31 [190] 11.3% for-loop [209] 19.0% finish-bodys [194] 57.9% [209] 5666(8.1%) 2488(3.6%) for-loop (unknown source) finish-bodys [194] 45.0% for-loop [209] 19.0% syntax-e [5] 4.9% add-local-binding!37 [210] 3.5% compile5 [11] 2.6% expand-implicit [10] 0.8% dispatch-transformer41 [192] 0.6% ------------------------------------------------------------------------- for-loop [209] 100.0% [210] 924(1.3%) 924(1.3%) add-local-binding!37 (unknown source) -------------------------------------------------------------------------