Profiling results ----------------- Total cpu time observed: 63068ms (out of 64032ms) Number of samples taken: 237 (once every 266ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 221 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [24] 100.0% [1] 63068(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% -------------------------------------------------------------------------- ??? [24] 100.0% [2] 54290(86.1%) 0(0.0%) run-improve40 ...ie/develop/src/mainloop.rkt:336:0 for-loop [15] 83.9% simplify! [31] 16.1% -------------------------------------------------------------------------- ??? [175] 100.0% [3] 1990(3.2%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [16] 67.1% for-loop [21] 32.9% -------------------------------------------------------------------------- substitute-e [109] 18.2% match-e [94] 81.8% [4] 1134(1.8%) 0(0.0%) variable? .../develop/src/syntax/syntax.rkt:1159:0 ??? [114] 100.0% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [5] 1130(1.8%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:45:15 hash-ref! [96] 79.8% ??? [27] 20.2% -------------------------------------------------------------------------- loop [206] 100.0% [6] 1112(1.8%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [17] 79.7% resolve+shift28 [22] 20.3% -------------------------------------------------------------------------- ??? [24] 100.0% [7] 1094(1.7%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:212:0 for-loop [18] 100.0% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [8] 732(1.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:291:26 for-loop [20] 100.0% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [9] 732(1.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:301:23 for-loop [19] 100.0% -------------------------------------------------------------------------- matcher [80] 100.0% [10] 432(0.7%) 0(0.0%) ??? .../herbie/develop/src/core/matcher.rkt:175:11 for-loop [23] 100.0% -------------------------------------------------------------------------- for-loop [205] 100.0% [11] 220(0.3%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [17] 100.0% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [12] 206(0.3%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:318:0 first-nonzero-exp [37] 100.0% -------------------------------------------------------------------------- for-loop [205] 100.0% [13] 206(0.3%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [22] 100.0% -------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [14] 63068(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [24] 100.0% -------------------------------------------------------------------------- run-improve40 [2] 100.0% [15] 45570(72.3%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:351:4 run-iter! [25] 100.0% -------------------------------------------------------------------------- approximate9 [3] 100.0% [16] 1336(2.1%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 hash-ref! [96] 67.5% ??? [175] 32.5% -------------------------------------------------------------------------- syntax-e [11] 19.9% expand-id-application-form17 [6] 80.1% [17] 1106(1.8%) 0(0.0%) syntax-e/no-taint (unknown source) loop [206] 100.0% -------------------------------------------------------------------------- oracle-error [7] 100.0% [18] 1094(1.7%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:213:2 map [151] 76.6% loop [162] 23.4% -------------------------------------------------------------------------- ??? [9] 100.0% [19] 732(1.2%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:304:27 hash-ref! [96] 100.0% -------------------------------------------------------------------------- ??? [8] 100.0% [20] 732(1.2%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:291:52 simplify [26] 69.1% ??? [27] 30.9% -------------------------------------------------------------------------- approximate9 [3] 100.0% [21] 654(1.0%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:30:18 taylor-quotient [28] 68.8% taylor [30] 31.2% -------------------------------------------------------------------------- expand-implicit [13] 47.7% expand-id-application-form17 [6] 52.3% [22] 432(0.7%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [29] 100.0% -------------------------------------------------------------------------- ??? [10] 100.0% [23] 432(0.7%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:179:21 matcher [80] 100.0% -------------------------------------------------------------------------- run [14] 50.0% [24] 63068(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 50.0% run-improve40 [2] 43.0% prepare-points-intervals [76] 4.4% oracle-error [7] 0.9% get-final-combination [35] 0.8% errors [150] 0.7% eval-errors [38] 0.3% -------------------------------------------------------------------------- for-loop [15] 100.0% [25] 45570(72.3%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:317:0 simplify! [31] 80.8% finalize-iter! [32] 12.4% gen-series! [33] 4.8% gen-rewrites! [36] 1.5% localize! [39] 0.5% -------------------------------------------------------------------------- for-loop [20] 28.3% hash-ref! [96] 71.7% [26] 1786(2.8%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f46 [34] 76.9% parse-loop80 [163] 23.1% -------------------------------------------------------------------------- for-loop [20] 49.8% ??? [5] 50.2% [27] 454(0.7%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:294:19 hash-ref! [96] 100.0% -------------------------------------------------------------------------- for-loop [21] 100.0% [28] 450(0.7%) 0(0.0%) taylor-quotient ...velop/src/core/taylor.rkt:334:0 first-nonzero-exp [37] 100.0% -------------------------------------------------------------------------- resolve+shift28 [22] 100.0% [29] 432(0.7%) 226(0.4%) fallback-loop (unknown source) for-loop [205] 47.7% -------------------------------------------------------------------------- taylor [30] 50.0% for-loop [21] 50.0% [30] 204(0.3%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:170:0 taylor [30] 50.0% debug5 [40] 50.0% -------------------------------------------------------------------------- run-improve40 [2] 19.1% run-iter! [25] 80.9% [31] 45552(72.2%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:213:0 ??? [41] 99.5% for-loop [48] 0.5% -------------------------------------------------------------------------- run-iter! [25] 100.0% [32] 5658(9.0%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:268:0 ??? [114] 100.0% -------------------------------------------------------------------------- run-iter! [25] 100.0% [33] 2196(3.5%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:149:0 for-loop [42] 100.0% -------------------------------------------------------------------------- get-final-combination [35] 27.6% simplify [26] 72.4% [34] 1898(3.0%) 0(0.0%) f46 ...0/collects/racket/match/compiler.rkt:507:40 eval-const-expr [43] 50.6% sindices->spoints [45] 27.6% map [151] 21.8% -------------------------------------------------------------------------- ??? [24] 100.0% [35] 1012(1.6%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:357:0 f46 [34] 51.8% infer-splitpoints [46] 48.2% -------------------------------------------------------------------------- run-iter! [25] 100.0% [36] 678(1.1%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:172:0 for-loop [44] 100.0% -------------------------------------------------------------------------- taylor-invert [12] 31.4% taylor-quotient [28] 68.6% [37] 656(1.0%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:266:0 hash-ref! [96] 100.0% -------------------------------------------------------------------------- ??? [24] 100.0% [38] 320(0.5%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:203:0 for-loop [47] 100.0% -------------------------------------------------------------------------- run-iter! [25] 100.0% [39] 206(0.3%) 0(0.0%) localize! ...herbie/develop/src/mainloop.rkt:116:0 errors-score [49] 100.0% -------------------------------------------------------------------------- taylor [30] 100.0% [40] 204(0.3%) 204(0.3%) debug5 ...tlies/herbie/develop/src/debug.rkt:102:0 -------------------------------------------------------------------------- simplify! [31] 100.0% [41] 45318(71.9%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:26:0 for-loop [50] 53.0% one-iter [57] 31.3% loop [51] 15.6% -------------------------------------------------------------------------- gen-series! [33] 100.0% [42] 2196(3.5%) 206(0.3%) for-loop .../herbie/develop/src/mainloop.rkt:156:7 taylor-alt [52] 90.6% -------------------------------------------------------------------------- parse-loop80 [163] 46.2% f46 [34] 53.8% [43] 1786(2.8%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:149:0 eval-prog [160] 100.0% -------------------------------------------------------------------------- gen-rewrites! [36] 100.0% [44] 678(1.1%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:180:11 rewrite-expression-head20 [53] 100.0% -------------------------------------------------------------------------- f46 [34] 100.0% [45] 524(0.8%) 0(0.0%) sindices->spoints ...op/src/core/regimes.rkt:215:0 for-loop [54] 100.0% -------------------------------------------------------------------------- get-final-combination [35] 100.0% [46] 488(0.8%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:34:0 for-loop [55] 100.0% -------------------------------------------------------------------------- eval-errors [38] 100.0% [47] 320(0.5%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:205:2 ulp-difference [177] 100.0% -------------------------------------------------------------------------- simplify! [31] 100.0% [48] 234(0.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:252:6 for-loop [56] 100.0% -------------------------------------------------------------------------- localize! [39] 100.0% [49] 206(0.3%) 0(0.0%) errors-score ...erbie/develop/src/points.rkt:220:0 loop [162] 100.0% -------------------------------------------------------------------------- ??? [41] 100.0% [50] 24036(38.1%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:33:2 one-iter [57] 100.0% -------------------------------------------------------------------------- ??? [41] 100.0% [51] 7086(11.2%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:143:2 for-loop [58] 100.0% -------------------------------------------------------------------------- for-loop [42] 100.0% [52] 1990(3.2%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:135:0 for-loop [59] 100.0% -------------------------------------------------------------------------- for-loop [44] 100.0% [53] 678(1.1%) 0(0.0%) rewrite-expression-head20 ...ore/matcher.rkt:126:0 rewriter [60] 100.0% -------------------------------------------------------------------------- sindices->spoints [45] 100.0% [54] 524(0.8%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:252:9 binary-search-floats [62] 53.1% prepare-points-intervals [76] 46.9% -------------------------------------------------------------------------- infer-splitpoints [46] 100.0% [55] 488(0.8%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:46:6 option-on-expr [61] 100.0% -------------------------------------------------------------------------- for-loop [48] 100.0% [56] 234(0.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:253:8 expression-cost [77] 100.0% -------------------------------------------------------------------------- ??? [41] 37.1% for-loop [50] 62.9% [57] 38232(60.6%) 0(0.0%) one-iter ...bie/develop/src/core/simplify.rkt:86:0 find-matches [63] 58.4% for-loop [64] 39.1% for-loop [66] 2.5% -------------------------------------------------------------------------- loop [51] 100.0% [58] 7086(11.2%) 562(0.9%) for-loop ...ie/develop/src/core/simplify.rkt:149:4 loop [65] 49.4% expression-cost [77] 17.4% argmin [67] 12.9% for-loop [78] 8.7% for-loop [70] 3.7% -------------------------------------------------------------------------- taylor-alt [52] 100.0% [59] 1990(3.2%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:141:6 ??? [175] 100.0% -------------------------------------------------------------------------- matcher [80] 37.0% rewrite-expression-head20 [53] 63.0% [60] 678(1.1%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:128:2 for-loop [68] 63.7% *rules* [71] 36.3% -------------------------------------------------------------------------- for-loop [55] 100.0% [61] 488(0.8%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:150:0 err-lsts->split-indices [72] 50.0% for-loop [73] 50.0% -------------------------------------------------------------------------- for-loop [54] 100.0% [62] 278(0.4%) 0(0.0%) binary-search-floats ...src/core/regimes.rkt:196:0 pred [69] 100.0% -------------------------------------------------------------------------- one-iter [57] 100.0% [63] 22316(35.4%) 274(0.4%) find-matches ...develop/src/core/simplify.rkt:56:0 for-loop [74] 98.8% -------------------------------------------------------------------------- one-iter [57] 100.0% [64] 14960(23.7%) 206(0.3%) for-loop ...bie/develop/src/core/simplify.rkt:95:2 loop [75] 83.1% update-leader! [113] 14.0% reduce-to-single! [84] 1.5% -------------------------------------------------------------------------- for-loop [58] 100.0% [65] 3500(5.5%) 244(0.4%) loop .../racket-7.0/collects/racket/list.rkt:751:4 expression-cost [77] 50.3% for-loop [78] 42.7% -------------------------------------------------------------------------- one-iter [57] 100.0% [66] 956(1.5%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:111:2 set-precompute! [79] 100.0% -------------------------------------------------------------------------- for-loop [58] 100.0% [67] 916(1.5%) 0(0.0%) argmin ...acket-7.0/collects/racket/list.rkt:765:0 expression-cost [77] 53.3% for-loop [78] 46.7% -------------------------------------------------------------------------- rewriter [60] 100.0% [68] 432(0.7%) 208(0.3%) for-loop ...ie/develop/src/core/matcher.rkt:131:10 matcher [80] 58.0% type-of [85] 25.9% -------------------------------------------------------------------------- binary-search-floats [62] 100.0% [69] 278(0.4%) 0(0.0%) pred .../herbie/develop/src/core/regimes.rkt:224:4 prepare-points-intervals [76] 100.0% -------------------------------------------------------------------------- for-loop [58] 100.0% [70] 260(0.4%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:153:16 for-loop [81] 100.0% -------------------------------------------------------------------------- rewriter [60] 100.0% [71] 246(0.4%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:783:0 for-loop [82] 100.0% -------------------------------------------------------------------------- option-on-expr [61] 100.0% [72] 244(0.4%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:281:0 loop [83] 100.0% -------------------------------------------------------------------------- option-on-expr [61] 100.0% [73] 244(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:158:4 errors [150] 100.0% -------------------------------------------------------------------------- for-loop [74] 49.4% find-matches [63] 50.6% [74] 22042(34.9%) 3754(6.0%) for-loop ...bie/develop/src/core/simplify.rkt:58:8 for-loop [74] 49.4% match-e [94] 41.5% -------------------------------------------------------------------------- for-loop [64] 100.0% [75] 12434(19.7%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:100:4 apply-match [86] 100.0% -------------------------------------------------------------------------- for-loop [54] 4.1% pred [69] 4.6% ??? [24] 91.3% [76] 6056(9.6%) 0(0.0%) prepare-points-intervals ...p/src/points.rkt:133:0 loop [87] 95.9% eval-prog [160] 4.1% -------------------------------------------------------------------------- for-loop [56] 6.3% argmin [67] 13.1% for-loop [58] 33.1% loop [65] 47.4% [77] 3714(5.9%) 284(0.5%) expression-cost .../develop/src/programs.rkt:204:0 compile [88] 92.4% -------------------------------------------------------------------------- argmin [67] 16.9% for-loop [58] 24.3% loop [65] 58.8% [78] 2540(4.0%) 448(0.7%) for-loop .../herbie/develop/src/programs.rkt:205:2 table-ref [89] 82.4% -------------------------------------------------------------------------- for-loop [66] 100.0% [79] 956(1.5%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:117:0 for-loop [90] 100.0% -------------------------------------------------------------------------- for-loop [23] 50.0% for-loop [68] 50.0% [80] 432(0.7%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:163:2 ??? [10] 50.0% rewriter [60] 50.0% -------------------------------------------------------------------------- for-loop [70] 100.0% [81] 260(0.4%) 260(0.4%) for-loop ...e/develop/src/core/simplify.rkt:157:23 -------------------------------------------------------------------------- *rules* [71] 100.0% [82] 246(0.4%) 0(0.0%) for-loop ...ies/herbie/develop/src/common.rkt:71:9 ormap [91] 100.0% -------------------------------------------------------------------------- err-lsts->split-indices [72] 100.0% [83] 244(0.4%) 0(0.0%) loop .../herbie/develop/src/core/regimes.rkt:332:4 for-loop [92] 100.0% -------------------------------------------------------------------------- for-loop [64] 100.0% [84] 226(0.4%) 0(0.0%) reduce-to-single! ...lop/src/core/egraph.rkt:320:0 for-loop [93] 100.0% -------------------------------------------------------------------------- for-loop [68] 100.0% [85] 224(0.4%) 0(0.0%) type-of .../herbie/develop/src/type-check.rkt:34:0 table-ref [89] 100.0% -------------------------------------------------------------------------- loop [75] 100.0% [86] 12434(19.7%) 250(0.4%) apply-match .../develop/src/core/simplify.rkt:65:0 for-loop [95] 83.5% match-e [94] 12.2% set [131] 2.3% -------------------------------------------------------------------------- prepare-points-intervals [76] 100.0% [87] 5810(9.2%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:145:4 loop [97] 67.5% ??? [98] 25.8% loop [100] 6.7% -------------------------------------------------------------------------- expression-cost [77] 100.0% [88] 3430(5.4%) 206(0.3%) compile ...s/herbie/develop/src/programs.rkt:181:0 hash-ref! [96] 94.0% -------------------------------------------------------------------------- type-of [85] 9.7% for-loop [78] 90.3% [89] 2316(3.7%) 1440(2.3%) table-ref ...es/herbie/develop/src/common.rkt:42:0 for-loop [99] 37.8% -------------------------------------------------------------------------- set-precompute! [79] 100.0% [90] 956(1.5%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:119:2 merge-egraph-nodes! [104] 42.9% setfindf [101] 31.6% compose [102] 25.5% -------------------------------------------------------------------------- for-loop [82] 100.0% [91] 246(0.4%) 246(0.4%) ormap ....0/collects/racket/private/map.rkt:141:13 -------------------------------------------------------------------------- loop [83] 100.0% [92] 244(0.4%) 244(0.4%) for-loop ...bie/develop/src/core/regimes.rkt:297:4 -------------------------------------------------------------------------- reduce-to-single! [84] 100.0% [93] 226(0.4%) 226(0.4%) for-loop ...rbie/develop/src/core/egraph.rkt:321:8 -------------------------------------------------------------------------- apply-match [86] 5.0% for-loop [115] 19.8% for-loop [74] 75.3% [94] 19804(31.4%) 6700(10.6%) match-e ...herbie/develop/src/core/ematch.rkt:39:0 for-loop [103] 60.4% make-sequence [110] 2.6% variable? [4] 1.8% ??? [114] 1.4% -------------------------------------------------------------------------- apply-match [86] 100.0% [95] 10378(16.5%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:78:2 merge-egraph-nodes! [104] 73.7% dedup-children! [107] 12.5% mk-enode! [127] 7.2% substitute-e [109] 6.5% -------------------------------------------------------------------------- ??? [27] 3.2% for-loop [19] 4.6% ??? [5] 5.0% loop [16] 5.0% first-nonzero-exp [37] 7.9% ??? [175] 8.6% ??? [106] 21.5% compile [88] 42.8% [96] 5010(7.9%) 3022(4.8%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [106] 25.5% simplify [26] 11.4% ??? [5] 7.2% ??? [108] 5.0% ??? [9] 4.6% ??? [8] 4.6% taylor-invert [12] 1.4% -------------------------------------------------------------------------- loop [87] 100.0% [97] 3922(6.2%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:104:2 ??? [105] 100.0% -------------------------------------------------------------------------- loop [87] 100.0% [98] 1498(2.4%) 0(0.0%) ??? ...ghtlies/herbie/develop/src/points.rkt:129:2 ??? [175] 100.0% -------------------------------------------------------------------------- table-ref [89] 100.0% [99] 876(1.4%) 876(1.4%) for-loop ...ies/herbie/develop/src/common.rkt:44:4 -------------------------------------------------------------------------- loop [87] 100.0% [100] 390(0.6%) 0(0.0%) loop ...7.0/collects/racket/private/map.rkt:110:23 ordinary-value? [111] 100.0% -------------------------------------------------------------------------- for-loop [90] 100.0% [101] 302(0.5%) 0(0.0%) setfindf ...es/herbie/develop/src/common.rkt:139:0 for-loop [112] 100.0% -------------------------------------------------------------------------- for-loop [90] 100.0% [102] 244(0.4%) 244(0.4%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- match-e [94] 100.0% [103] 12794(20.3%) 5088(8.1%) for-loop ...rbie/develop/src/core/ematch.rkt:52:11 for-loop [115] 39.1% foldl [117] 11.6% foldr [120] 4.6% curry* [121] 4.0% cartesian-product [122] 2.6% cp-2 [129] 1.0% -------------------------------------------------------------------------- merge-egraph-nodes! [104] 2.7% for-loop [90] 3.8% for-loop [95] 92.0% [104] 8062(12.8%) 410(0.7%) merge-egraph-nodes! ...p/src/core/egraph.rkt:145:0 update-leader! [113] 69.4% loop! [118] 21.3% merge-egraph-nodes! [104] 2.7% -------------------------------------------------------------------------- ??? [169] 8.6% for-loop [161] 27.4% loop [97] 63.9% [105] 6134(9.7%) 478(0.8%) ??? ...tlies/herbie/develop/src/programs.rkt:146:2 ??? [116] 65.6% ??? [175] 26.6% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [106] 1966(3.1%) 202(0.3%) ??? ...tlies/herbie/develop/src/programs.rkt:189:5 hash-ref! [96] 89.7% -------------------------------------------------------------------------- for-loop [95] 100.0% [107] 1302(2.1%) 0(0.0%) dedup-children! ...evelop/src/core/enode.rkt:199:0 loop [119] 100.0% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [108] 902(1.4%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:68:15 ??? [175] 100.0% -------------------------------------------------------------------------- for-loop [123] 15.3% for-loop [95] 84.7% [109] 674(1.1%) 268(0.4%) substitute-e ...e/develop/src/core/ematch.rkt:64:0 for-loop [123] 45.0% variable? [4] 15.3% -------------------------------------------------------------------------- match-e [94] 100.0% [110] 520(0.8%) 520(0.8%) make-sequence ...ects/racket/private/for.rkt:528:2 -------------------------------------------------------------------------- loop [100] 100.0% [111] 390(0.6%) 390(0.6%) ordinary-value? ...rbie/develop/src/float.rkt:54:0 -------------------------------------------------------------------------- setfindf [101] 100.0% [112] 302(0.5%) 0(0.0%) for-loop ...es/herbie/develop/src/common.rkt:140:2 ??? [114] 100.0% -------------------------------------------------------------------------- for-loop [64] 26.5% merge-egraph-nodes! [104] 73.5% [113] 7914(12.5%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:213:0 for-loop [124] 96.5% custom-set-union! [132] 3.5% -------------------------------------------------------------------------- for-loop [112] 3.9% match-e [94] 8.8% variable? [4] 14.6% finalize-iter! [32] 72.7% [114] 7780(12.3%) 1886(3.0%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [125] 72.7% ??? [135] 3.0% -------------------------------------------------------------------------- for-loop [103] 100.0% [115] 7720(12.2%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:58:37 match-e [94] 96.8% ??? [133] 3.2% -------------------------------------------------------------------------- ??? [105] 100.0% [116] 4022(6.4%) 0(0.0%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [126] 67.7% ??? [175] 20.6% ??? [134] 6.1% double->posit16 [136] 5.6% -------------------------------------------------------------------------- for-loop [103] 100.0% [117] 2962(4.7%) 2962(4.7%) foldl ....0/collects/racket/private/list.rkt:229:4 -------------------------------------------------------------------------- loop [162] 12.6% merge-egraph-nodes! [104] 87.4% [118] 1832(2.9%) 514(0.8%) loop! ...s/herbie/develop/src/core/enode.rkt:191:2 custom-set-union [128] 48.4% loop [162] 24.8% set [131] 5.7% -------------------------------------------------------------------------- dedup-children! [107] 3.2% loop [119] 96.8% [119] 1302(2.1%) 1302(2.1%) loop ...racket-7.0/collects/racket/list.rkt:434:17 loop [119] 96.8% -------------------------------------------------------------------------- for-loop [103] 100.0% [120] 706(1.1%) 226(0.4%) foldr ....0/collects/racket/private/list.rkt:242:4 cp-2 [129] 68.0% -------------------------------------------------------------------------- for-loop [103] 100.0% [121] 512(0.8%) 0(0.0%) curry* ...et-7.0/collects/racket/function.rkt:44:2 procedure-arity [130] 100.0% -------------------------------------------------------------------------- for-loop [103] 100.0% [122] 444(0.7%) 444(0.7%) cartesian-product ...ollects/racket/list.rkt:822:0 -------------------------------------------------------------------------- substitute-e [109] 100.0% [123] 406(0.6%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:73:24 substitute-e [109] 50.7% mk-enode! [127] 49.3% -------------------------------------------------------------------------- update-leader! [113] 100.0% [124] 7640(12.1%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:218:6 hash-update! [149] 61.9% for-loop [138] 38.1% -------------------------------------------------------------------------- ??? [114] 100.0% [125] 5658(9.0%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:56:2 atab-add-altn [137] 88.8% loop [140] 11.2% -------------------------------------------------------------------------- fold-binary-pred [199] 17.9% ??? [116] 82.1% [126] 2724(4.3%) 976(1.5%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ival-div [139] 60.4% ival-sub [141] 21.7% -------------------------------------------------------------------------- for-loop [123] 21.1% for-loop [95] 78.9% [127] 950(1.5%) 446(0.7%) mk-enode! ...rbie/develop/src/core/egraph.rkt:99:0 hash-has-key? [146] 27.2% new-enode [147] 25.9% -------------------------------------------------------------------------- loop! [118] 100.0% [128] 886(1.4%) 436(0.7%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [143] 50.8% -------------------------------------------------------------------------- for-loop [103] 34.8% foldr [120] 65.2% [129] 736(1.2%) 256(0.4%) cp-2 .../racket-7.0/collects/racket/list.rkt:826:2 for-loop [142] 65.2% -------------------------------------------------------------------------- curry* [121] 100.0% [130] 512(0.8%) 512(0.8%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- loop! [118] 41.8% apply-match [86] 58.2% [131] 498(0.8%) 208(0.3%) set ...collects/racket/private/set-types.rkt:981:0 for-loop [144] 58.2% -------------------------------------------------------------------------- update-leader! [113] 100.0% [132] 274(0.4%) 0(0.0%) custom-set-union! ...t/private/set-types.rkt:245:0 for-loop [145] 100.0% -------------------------------------------------------------------------- for-loop [115] 100.0% [133] 248(0.4%) 248(0.4%) ??? ...ies/herbie/develop/src/core/ematch.rkt:43:5 -------------------------------------------------------------------------- ??? [116] 100.0% [134] 246(0.4%) 0(0.0%) ??? ...herbie/develop/src/syntax/syntax.rkt:317:17 ??? [191] 100.0% -------------------------------------------------------------------------- ??? [114] 100.0% [135] 236(0.4%) 236(0.4%) ??? ...ects/racket/contract/private/guts.rkt:746:8 -------------------------------------------------------------------------- ??? [116] 100.0% [136] 224(0.4%) 0(0.0%) double->posit16 ...ftposit-rkt/softposit.rkt:248:0 get-ffi-obj* [148] 100.0% -------------------------------------------------------------------------- for-loop [125] 100.0% [137] 5022(8.0%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:202:0 errors [150] 91.2% override-at-pnts [153] 8.8% -------------------------------------------------------------------------- for-loop [124] 100.0% [138] 2910(4.6%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:219:8 hash-update! [149] 100.0% -------------------------------------------------------------------------- ??? [126] 100.0% [139] 2134(3.4%) 824(1.3%) ival-div ...rbie/develop/src/biginterval.rkt:141:0 classify-ival [192] 31.2% ??? [198] 15.7% fold-binary-pred [199] 14.5% -------------------------------------------------------------------------- for-loop [125] 100.0% [140] 636(1.0%) 0(0.0%) loop ...erbie/develop/src/core/alt-table.rkt:176:2 loop [156] 35.5% map [151] 32.4% loop [158] 32.1% -------------------------------------------------------------------------- ??? [126] 100.0% [141] 590(0.9%) 0(0.0%) ival-sub ...erbie/develop/src/biginterval.rkt:93:0 ...higher-order.rkt:361:33 [154] 50.5% ??? [198] 49.5% -------------------------------------------------------------------------- cp-2 [129] 100.0% [142] 480(0.8%) 480(0.8%) for-loop ...ket-7.0/collects/racket/list.rkt:827:4 -------------------------------------------------------------------------- custom-set-union [128] 100.0% [143] 450(0.7%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [152] 100.0% -------------------------------------------------------------------------- set [131] 100.0% [144] 290(0.5%) 290(0.5%) for-loop ...cts/racket/private/set-types.rkt:937:4 -------------------------------------------------------------------------- custom-set-union! [132] 100.0% [145] 274(0.4%) 274(0.4%) for-loop ...cts/racket/private/set-types.rkt:253:4 -------------------------------------------------------------------------- mk-enode! [127] 100.0% [146] 258(0.4%) 258(0.4%) hash-has-key? ...ket/private/more-scheme.rkt:371:2 -------------------------------------------------------------------------- mk-enode! [127] 100.0% [147] 246(0.4%) 0(0.0%) new-enode ...erbie/develop/src/core/enode.rkt:96:0 mutable-set [155] 100.0% -------------------------------------------------------------------------- double->posit16 [136] 100.0% [148] 224(0.4%) 0(0.0%) get-ffi-obj* ...-7.0/collects/ffi/unsafe.rkt:209:2 get-ffi-lib9 [157] 100.0% -------------------------------------------------------------------------- for-loop [138] 38.1% for-loop [124] 61.9% [149] 7640(12.1%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [159] 100.0% -------------------------------------------------------------------------- for-loop [73] 4.3% ??? [24] 14.5% atab-add-altn [137] 81.1% [150] 5644(8.9%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:228:0 for-loop [161] 66.7% eval-prog [160] 33.3% -------------------------------------------------------------------------- loop [140] 14.1% f46 [34] 28.4% for-loop [18] 57.5% [151] 1458(2.3%) 0(0.0%) map ...t-7.0/collects/racket/private/map.rkt:35:13 ??? [169] 57.5% parse-loop80 [163] 28.4% loop [162] 14.1% -------------------------------------------------------------------------- for-loop [143] 100.0% [152] 450(0.7%) 450(0.7%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- atab-add-altn [137] 100.0% [153] 442(0.7%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:138:0 for-loop [164] 100.0% -------------------------------------------------------------------------- ival-sub [141] 100.0% [154] 298(0.5%) 0(0.0%) ...higher-order.rkt:361:33 (unknown source) ??? [165] 100.0% -------------------------------------------------------------------------- new-enode [147] 100.0% [155] 246(0.4%) 246(0.4%) mutable-set .../racket/private/set-types.rkt:999:0 -------------------------------------------------------------------------- loop [140] 100.0% [156] 226(0.4%) 226(0.4%) loop ...-7.0/collects/racket/private/hash.rkt:20:4 -------------------------------------------------------------------------- get-ffi-obj* [148] 100.0% [157] 224(0.4%) 0(0.0%) get-ffi-lib9 ...-7.0/collects/ffi/unsafe.rkt:121:0 get-cross-lib-search-dirs [166] 100.0% -------------------------------------------------------------------------- loop [140] 10.0% loop [158] 90.0% [158] 204(0.3%) 204(0.3%) loop ...racket-7.0/collects/racket/list.rkt:434:28 loop [158] 90.0% -------------------------------------------------------------------------- hash-update! [149] 100.0% [159] 7640(12.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:221:24 for-loop [167] 100.0% -------------------------------------------------------------------------- prepare-points-intervals [76] 6.3% eval-const-expr [43] 45.7% errors [150] 48.1% [160] 3912(6.2%) 0(0.0%) eval-prog ...herbie/develop/src/programs.rkt:130:0 temp68_2 [168] 75.8% eval4 [170] 6.7% inductor [171] 6.2% eval [172] 6.0% loop [206] 5.3% -------------------------------------------------------------------------- errors [150] 100.0% [161] 3764(6.0%) 230(0.4%) for-loop ...es/herbie/develop/src/points.rkt:230:2 ??? [105] 44.7% ??? [175] 26.4% ulp-difference [177] 17.4% point-error [174] 5.4% -------------------------------------------------------------------------- errors-score [49] 0.3% map [151] 0.5% loop! [118] 6.4% for-loop [18] 18.9% loop [162] 73.9% [162] 1354(2.1%) 430(0.7%) loop ...-7.0/collects/racket/private/map.rkt:40:19 loop [162] 73.9% ??? [169] 18.9% loop! [118] 2.3% ??? [173] 0.5% -------------------------------------------------------------------------- simplify [26] 49.9% map [151] 50.1% [163] 826(1.3%) 0(0.0%) parse-loop80 ...s/racket/match/compiler.rkt:418:15 eval-const-expr [43] 100.0% -------------------------------------------------------------------------- override-at-pnts [153] 100.0% [164] 442(0.7%) 442(0.7%) for-loop .../develop/src/core/alt-table.rkt:139:22 -------------------------------------------------------------------------- ...higher-order.rkt:361:33 [154] 100.0% [165] 298(0.5%) 298(0.5%) ??? ...cts/racket/contract/private/list.rkt:209:10 -------------------------------------------------------------------------- get-ffi-lib9 [157] 100.0% [166] 224(0.4%) 224(0.4%) get-cross-lib-search-dirs ...rivate/dirs.rkt:168:7 -------------------------------------------------------------------------- ??? [159] 100.0% [167] 7640(12.1%) 6980(11.1%) for-loop ...bie/develop/src/core/egraph.rkt:222:26 update-en-expr [178] 8.6% -------------------------------------------------------------------------- eval-prog [160] 100.0% [168] 2964(4.7%) 0(0.0%) temp68_2 (unknown source) compile16 [176] 100.0% -------------------------------------------------------------------------- loop [162] 23.4% map [151] 76.6% [169] 1094(1.7%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:214:26 ??? [175] 51.6% ??? [105] 48.4% -------------------------------------------------------------------------- eval-prog [160] 100.0% [170] 262(0.4%) 262(0.4%) eval4 (unknown source) -------------------------------------------------------------------------- eval-prog [160] 100.0% [171] 244(0.4%) 0(0.0%) inductor .../herbie/develop/src/programs.rkt:135:4 ??? [179] 100.0% -------------------------------------------------------------------------- eval-prog [160] 100.0% [172] 234(0.4%) 0(0.0%) eval (unknown source) add-ns-scopes [180] 100.0% -------------------------------------------------------------------------- loop [162] 100.0% [173] 206(0.3%) 0(0.0%) ??? ...erbie/develop/src/core/alt-table.rkt:193:30 loop [181] 100.0% -------------------------------------------------------------------------- for-loop [161] 100.0% [174] 204(0.3%) 0(0.0%) point-error ...herbie/develop/src/points.rkt:195:0 ulp-difference [177] 100.0% -------------------------------------------------------------------------- loop [16] 1.9% ??? [108] 4.0% ??? [169] 7.5% location-do [183] 10.3% for-loop [59] 10.3% ??? [116] 11.0% for-loop [161] 13.2% ??? [98] 20.0% ??? [105] 21.8% [175] 7508(11.9%) 1756(2.8%) ??? ...tract/private/arrow-higher-order.rkt:357:33 ->flonum [184] 26.4% ival-mult [185] 11.0% location-do [183] 10.3% approximate9 [3] 10.3% sample-multi-bounded [186] 7.8% hash-ref! [96] 5.9% mk-ival [187] 4.9% -------------------------------------------------------------------------- temp68_2 [168] 100.0% [176] 2964(4.7%) 0(0.0%) compile16 (unknown source) temp74_0 [182] 100.0% -------------------------------------------------------------------------- point-error [174] 17.3% for-loop [47] 27.2% for-loop [161] 55.5% [177] 1178(1.9%) 730(1.2%) ulp-difference ...erbie/develop/src/float.rkt:14:0 ??? [191] 38.0% -------------------------------------------------------------------------- for-loop [167] 100.0% [178] 660(1.0%) 660(1.0%) update-en-expr ...evelop/src/core/egraph.rkt:207:0 -------------------------------------------------------------------------- inductor [171] 100.0% [179] 244(0.4%) 0(0.0%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [188] 100.0% -------------------------------------------------------------------------- eval [172] 100.0% [180] 234(0.4%) 0(0.0%) add-ns-scopes (unknown source) add-scopes [189] 100.0% -------------------------------------------------------------------------- loop [181] 50.0% ??? [173] 50.0% [181] 206(0.3%) 206(0.3%) loop ...7.0/collects/racket/private/list.rkt:82:16 loop [181] 50.0% -------------------------------------------------------------------------- compile16 [176] 100.0% [182] 2964(4.7%) 0(0.0%) temp74_0 (unknown source) expand-single [190] 91.7% compile-top9 [196] 8.3% -------------------------------------------------------------------------- location-do [183] 28.6% ??? [175] 71.4% [183] 1990(3.2%) 0(0.0%) location-do ...rbie/develop/src/programs.rkt:111:0 ??? [175] 71.4% location-do [183] 28.6% -------------------------------------------------------------------------- ??? [175] 100.0% [184] 1982(3.1%) 1048(1.7%) ->flonum ...s/herbie/develop/src/programs.rkt:38:0 return/no-unsupplied [194] 23.9% ??? [191] 23.2% -------------------------------------------------------------------------- ??? [175] 100.0% [185] 828(1.3%) 0(0.0%) ival-mult ...bie/develop/src/biginterval.rkt:105:0 bf* [193] 70.3% classify-ival [192] 29.7% -------------------------------------------------------------------------- ??? [175] 100.0% [186] 582(0.9%) 280(0.4%) sample-multi-bounded ...evelop/src/points.rkt:16:0 for-loop [195] 51.9% -------------------------------------------------------------------------- ??? [175] 100.0% [187] 370(0.6%) 370(0.6%) mk-ival ...herbie/develop/src/biginterval.rkt:59:0 -------------------------------------------------------------------------- ??? [179] 100.0% [188] 244(0.4%) 244(0.4%) ??? ...-7.0/collects/racket/lazy-require.rkt:106:6 -------------------------------------------------------------------------- add-ns-scopes [180] 100.0% [189] 234(0.4%) 234(0.4%) add-scopes (unknown source) -------------------------------------------------------------------------- temp74_0 [182] 100.0% [190] 2718(4.3%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [197] 100.0% -------------------------------------------------------------------------- ??? [134] 21.3% ulp-difference [177] 38.8% ->flonum [184] 39.9% [191] 1154(1.8%) 1154(1.8%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 -------------------------------------------------------------------------- ival-mult [185] 27.0% ival-div [139] 73.0% [192] 912(1.4%) 246(0.4%) classify-ival ...develop/src/biginterval.rkt:310:0 fold-binary-pred [199] 73.0% -------------------------------------------------------------------------- ival-mult [185] 100.0% [193] 582(0.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [198] 100.0% -------------------------------------------------------------------------- ->flonum [184] 100.0% [194] 474(0.8%) 474(0.8%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 -------------------------------------------------------------------------- sample-multi-bounded [186] 100.0% [195] 302(0.5%) 302(0.5%) for-loop ...ies/herbie/develop/src/points.rkt:26:4 -------------------------------------------------------------------------- temp74_0 [182] 100.0% [196] 246(0.4%) 0(0.0%) compile-top9 (unknown source) compile-forms31 [200] 100.0% -------------------------------------------------------------------------- loop [206] 7.1% expand-single [190] 92.9% [197] 2926(4.6%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [201] 92.9% dispatch-transformer41 [208] 7.1% -------------------------------------------------------------------------- ival-sub [141] 24.2% ival-div [139] 27.6% bf* [193] 48.2% [198] 1208(1.9%) 562(0.9%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfdiv [202] 53.5% -------------------------------------------------------------------------- ival-div [139] 31.8% classify-ival [192] 68.2% [199] 976(1.5%) 0(0.0%) fold-binary-pred ...gfloat/bigfloat-mpfr.rkt:117:0 ??? [126] 100.0% -------------------------------------------------------------------------- compile-top9 [196] 100.0% [200] 246(0.4%) 0(0.0%) compile-forms31 (unknown source) for-loop [205] 100.0% -------------------------------------------------------------------------- expand-capturing-lifts [197] 100.0% [201] 2718(4.3%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [203] 90.9% loop [206] 9.1% -------------------------------------------------------------------------- ??? [198] 100.0% [202] 646(1.0%) 334(0.5%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:821:4 ??? [204] 48.3% -------------------------------------------------------------------------- lambda-clause-expander [201] 30.9% for-loop [205] 69.1% [203] 2472(3.9%) 0(0.0%) finish-bodys (unknown source) for-loop [205] 100.0% -------------------------------------------------------------------------- bfdiv [202] 100.0% [204] 312(0.5%) 312(0.5%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 -------------------------------------------------------------------------- fallback-loop [29] 1.3% for-loop [205] 7.3% compile-forms31 [200] 9.1% finish-bodys [203] 82.4% [205] 2718(4.3%) 866(1.4%) for-loop (unknown source) finish-bodys [203] 56.2% loop [206] 20.2% for-loop [205] 7.3% expand-implicit [13] 1.3% dispatch-transformer41 [208] 1.1% syntax-e [11] 0.5% -------------------------------------------------------------------------- loop [206] 3.8% eval-prog [160] 11.6% lambda-clause-expander [201] 13.8% syntax-e/no-taint [17] 35.2% for-loop [205] 35.5% [206] 1786(2.8%) 0(0.0%) loop (unknown source) expand-id-application-form17 [6] 35.5% gf [207] 35.2% dispatch-transformer41 [208] 13.8% expand-capturing-lifts [197] 11.6% loop [206] 3.8% -------------------------------------------------------------------------- loop [206] 100.0% [207] 1106(1.8%) 206(0.3%) gf (unknown source) propagation-apply [210] 62.7% cache-or-reuse-hash [211] 18.6% -------------------------------------------------------------------------- expand-capturing-lifts [197] 29.5% loop [206] 34.9% for-loop [205] 35.5% [208] 704(1.1%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [209] 100.0% -------------------------------------------------------------------------- dispatch-transformer41 [208] 100.0% [209] 704(1.1%) 458(0.7%) apply-transformer52 (unknown source) apply-transformer-in-context [212] 34.9% -------------------------------------------------------------------------- gf [207] 100.0% [210] 694(1.1%) 694(1.1%) propagation-apply (unknown source) -------------------------------------------------------------------------- gf [207] 100.0% [211] 206(0.3%) 206(0.3%) cache-or-reuse-hash (unknown source) -------------------------------------------------------------------------- apply-transformer52 [209] 100.0% [212] 246(0.4%) 0(0.0%) apply-transformer-in-context (unknown source) go [213] 100.0% -------------------------------------------------------------------------- apply-transformer-in-context [212]100.0% [213] 246(0.4%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [214] 100.0% -------------------------------------------------------------------------- go [213] 100.0% [214] 246(0.4%) 0(0.0%) loop ...llects/racket/private/qq-and-or.rkt:101:61 stx-cdr [215] 100.0% -------------------------------------------------------------------------- loop [214] 100.0% [215] 246(0.4%) 246(0.4%) stx-cdr ....0/collects/racket/private/stx.rkt:74:4 --------------------------------------------------------------------------