Profiling results ----------------- Total cpu time observed: 85006ms (out of 85968ms) Number of samples taken: 254 (once every 335ms) (Hiding functions with self<1.0% and local<2.0%: 4 of 212 hidden) =========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =========================================================================== ??? [84] 100.0% [1] 85006(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% --------------------------------------------------------------------------- ??? [84] 100.0% [2] 32104(37.8%) 0(0.0%) run-improve40 ...ie/develop/src/mainloop.rkt:340:0 for-loop [13] 96.1% prepare-points-intervals [12] 3.9% --------------------------------------------------------------------------- ??? [145] 100.0% [3] 4230(5.0%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [14] 61.2% for-loop [16] 31.7% taylor [24] 7.1% --------------------------------------------------------------------------- matcher [70] 100.0% [4] 1398(1.6%) 0(0.0%) ??? .../herbie/develop/src/core/matcher.rkt:175:11 for-loop [15] 100.0% --------------------------------------------------------------------------- hash-ref! [87] 100.0% [5] 1256(1.5%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:301:23 for-loop [17] 100.0% --------------------------------------------------------------------------- hash-ref! [87] 100.0% [6] 922(1.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:291:26 for-loop [18] 100.0% --------------------------------------------------------------------------- for-loop [207] 100.0% [7] 680(0.8%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [19] 100.0% --------------------------------------------------------------------------- hash-ref! [87] 100.0% [8] 334(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:510:23 for-loop [20] 100.0% --------------------------------------------------------------------------- for-loop [207] 100.0% [9] 322(0.4%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [204] 100.0% --------------------------------------------------------------------------- hash-ref! [87] 100.0% [10] 296(0.3%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:423:23 for-loop [21] 100.0% --------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [11] 85006(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [84] 100.0% --------------------------------------------------------------------------- without-timeline [186] 1.9% run-improve40 [2] 2.6% ??? [84] 95.5% [12] 48028(56.5%) 0(0.0%) prepare-points-intervals ...p/src/points.rkt:133:0 loop [22] 99.3% eval-prog [147] 0.7% --------------------------------------------------------------------------- run-improve40 [2] 100.0% [13] 30864(36.3%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:355:4 run-iter! [23] 100.0% --------------------------------------------------------------------------- approximate9 [3] 100.0% [14] 2590(3.0%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 hash-ref! [87] 74.9% ??? [145] 25.1% --------------------------------------------------------------------------- ??? [4] 100.0% [15] 1398(1.6%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:179:21 matcher [70] 100.0% --------------------------------------------------------------------------- approximate9 [3] 100.0% [16] 1340(1.6%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:30:18 taylor [24] 74.9% taylor-exp [26] 25.1% --------------------------------------------------------------------------- ??? [5] 100.0% [17] 1256(1.5%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:304:27 hash-ref! [87] 100.0% --------------------------------------------------------------------------- ??? [6] 100.0% [18] 922(1.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:291:52 hash-ref! [87] 66.8% ??? [25] 33.2% --------------------------------------------------------------------------- syntax-e [7] 100.0% [19] 680(0.8%) 0(0.0%) syntax-e/no-taint (unknown source) loop [200] 100.0% --------------------------------------------------------------------------- ??? [8] 100.0% [20] 334(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:514:35 parse-loop15 [119] 100.0% --------------------------------------------------------------------------- ??? [10] 100.0% [21] 296(0.3%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:426:30 hash-ref! [87] 100.0% --------------------------------------------------------------------------- prepare-points-intervals [12] 100.0% [22] 47698(56.1%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:145:4 loop [27] 96.6% ??? [31] 3.4% --------------------------------------------------------------------------- for-loop [13] 100.0% [23] 30864(36.3%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:321:0 simplify! [28] 55.1% finalize-iter! [29] 21.3% gen-series! [30] 13.7% gen-rewrites! [32] 4.5% localize! [33] 4.3% choose-best-alt! [35] 1.1% --------------------------------------------------------------------------- map [133] 2.3% approximate9 [3] 2.3% hash-ref! [87] 23.6% taylor [24] 33.8% for-loop [16] 38.1% [24] 2638(3.1%) 334(0.4%) taylor ...herbie/develop/src/core/taylor.rkt:170:0 taylor [24] 33.8% loop [34] 30.5% map [133] 18.7% loop [146] 12.2% debug-print [36] 2.3% --------------------------------------------------------------------------- for-loop [18] 100.0% [25] 612(0.7%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:294:19 hash-ref! [87] 100.0% --------------------------------------------------------------------------- for-loop [16] 100.0% [26] 336(0.4%) 0(0.0%) taylor-exp ...ie/develop/src/core/taylor.rkt:401:0 simplify [96] 100.0% --------------------------------------------------------------------------- loop [22] 100.0% [27] 46080(54.2%) 568(0.7%) loop ...htlies/herbie/develop/src/points.rkt:104:2 ??? [76] 97.4% ??? [145] 1.3% --------------------------------------------------------------------------- run-iter! [23] 100.0% [28] 17016(20.0%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:217:0 ??? [37] 100.0% --------------------------------------------------------------------------- run-iter! [23] 100.0% [29] 6566(7.7%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:272:0 ??? [38] 100.0% --------------------------------------------------------------------------- run-iter! [23] 100.0% [30] 4230(5.0%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:153:0 for-loop [39] 100.0% --------------------------------------------------------------------------- loop [22] 100.0% [31] 1618(1.9%) 0(0.0%) ??? ...ghtlies/herbie/develop/src/points.rkt:129:2 ??? [145] 55.4% compose [42] 44.6% --------------------------------------------------------------------------- run-iter! [23] 100.0% [32] 1398(1.6%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:176:0 for-loop [40] 100.0% --------------------------------------------------------------------------- run-iter! [23] 100.0% [33] 1322(1.6%) 0(0.0%) localize! ...herbie/develop/src/mainloop.rkt:120:0 localize-error [41] 100.0% --------------------------------------------------------------------------- taylor [24] 100.0% [34] 1028(1.2%) 0(0.0%) loop ...s/herbie/develop/src/core/taylor.rkt:268:2 hash-ref! [87] 100.0% --------------------------------------------------------------------------- run-iter! [23] 100.0% [35] 332(0.4%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:111:0 ??? [38] 100.0% --------------------------------------------------------------------------- taylor [24] 100.0% [36] 300(0.4%) 300(0.4%) debug-print .../herbie/develop/src/debug.rkt:110:0 --------------------------------------------------------------------------- simplify! [28] 100.0% [37] 17016(20.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:26:0 for-loop [43] 66.3% one-iter [50] 21.4% loop [46] 12.3% --------------------------------------------------------------------------- substitute-e [109] 4.0% match-e [86] 4.1% choose-best-alt! [35] 4.4% finalize-iter! [29] 87.5% [38] 7508(8.8%) 610(0.7%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [44] 87.5% ??? [49] 4.4% --------------------------------------------------------------------------- gen-series! [30] 100.0% [39] 4230(5.0%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:160:7 taylor-alt [45] 100.0% --------------------------------------------------------------------------- gen-rewrites! [32] 100.0% [40] 1398(1.6%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:184:11 rewrite-expression-head20 [47] 100.0% --------------------------------------------------------------------------- localize! [33] 100.0% [41] 1322(1.6%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:52:0 hash-ref! [87] 74.3% ??? [48] 25.7% --------------------------------------------------------------------------- ??? [31] 100.0% [42] 722(0.8%) 722(0.8%) compose ...collects/racket/private/list.rkt:385:12 --------------------------------------------------------------------------- ??? [37] 100.0% [43] 11276(13.3%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:33:2 one-iter [50] 100.0% --------------------------------------------------------------------------- ??? [38] 100.0% [44] 6566(7.7%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:56:2 atab-add-altn [51] 100.0% --------------------------------------------------------------------------- for-loop [39] 100.0% [45] 4230(5.0%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:139:0 for-loop [52] 100.0% --------------------------------------------------------------------------- ??? [37] 100.0% [46] 2096(2.5%) 300(0.4%) loop ...herbie/develop/src/core/simplify.rkt:143:2 for-loop [53] 85.7% --------------------------------------------------------------------------- for-loop [40] 100.0% [47] 1398(1.6%) 0(0.0%) rewrite-expression-head20 ...ore/matcher.rkt:126:0 rewriter [54] 100.0% --------------------------------------------------------------------------- localize-error [41] 100.0% [48] 340(0.4%) 0(0.0%) ??? ...-7.0/collects/racket/private/sort.rkt:369:3 loop [55] 100.0% --------------------------------------------------------------------------- ??? [38] 100.0% [49] 332(0.4%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:59:0 ??? [145] 100.0% --------------------------------------------------------------------------- ??? [37] 24.4% for-loop [43] 75.6% [50] 14920(17.6%) 0(0.0%) one-iter ...bie/develop/src/core/simplify.rkt:86:0 find-matches [56] 54.6% for-loop [58] 34.9% for-loop [59] 10.5% --------------------------------------------------------------------------- for-loop [44] 100.0% [51] 6566(7.7%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:202:0 errors [57] 90.5% override-at-pnts [63] 9.5% --------------------------------------------------------------------------- taylor-alt [45] 100.0% [52] 4230(5.0%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:145:6 ??? [145] 100.0% --------------------------------------------------------------------------- loop [46] 100.0% [53] 1796(2.1%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:149:4 loop [61] 64.5% for-loop [64] 17.8% argmin [65] 17.7% --------------------------------------------------------------------------- rewrite-expression-head20 [47] 23.4% matcher [70] 76.6% [54] 1398(1.6%) 360(0.4%) rewriter ...bie/develop/src/core/matcher.rkt:128:2 for-loop [60] 85.1% *rules* [62] 9.8% --------------------------------------------------------------------------- ??? [48] 100.0% [55] 340(0.4%) 0(0.0%) loop ...7.0/collects/racket/private/sort.rkt:96:12 errors-score [101] 100.0% --------------------------------------------------------------------------- one-iter [50] 100.0% [56] 8148(9.6%) 0(0.0%) find-matches ...develop/src/core/simplify.rkt:56:0 for-loop [66] 100.0% --------------------------------------------------------------------------- ??? [188] 4.1% for-loop [169] 4.1% pred [176] 8.1% ??? [84] 10.3% atab-add-altn [51] 73.3% [57] 8102(9.5%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:228:0 for-loop [67] 76.3% eval-prog [147] 23.7% --------------------------------------------------------------------------- one-iter [50] 100.0% [58] 5212(6.1%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:95:2 loop [68] 64.0% update-leader! [114] 36.0% --------------------------------------------------------------------------- one-iter [50] 100.0% [59] 1560(1.8%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:111:2 set-precompute! [69] 100.0% --------------------------------------------------------------------------- rewriter [54] 100.0% [60] 1398(1.6%) 356(0.4%) for-loop ...ie/develop/src/core/matcher.rkt:131:10 matcher [70] 91.5% --------------------------------------------------------------------------- for-loop [53] 100.0% [61] 1158(1.4%) 0(0.0%) loop .../racket-7.0/collects/racket/list.rkt:751:4 for-loop [71] 50.3% expression-cost [74] 49.7% --------------------------------------------------------------------------- rewriter [54] 100.0% [62] 682(0.8%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:783:0 for-loop [72] 100.0% --------------------------------------------------------------------------- atab-add-altn [51] 100.0% [63] 624(0.7%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:138:0 for-loop [73] 100.0% --------------------------------------------------------------------------- for-loop [53] 100.0% [64] 320(0.4%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:153:16 for-loop [75] 100.0% --------------------------------------------------------------------------- for-loop [53] 100.0% [65] 318(0.4%) 0(0.0%) argmin ...acket-7.0/collects/racket/list.rkt:765:0 for-loop [71] 100.0% --------------------------------------------------------------------------- for-loop [66] 50.0% find-matches [56] 50.0% [66] 8148(9.6%) 966(1.1%) for-loop ...bie/develop/src/core/simplify.rkt:58:8 for-loop [66] 50.0% match-e [86] 44.1% --------------------------------------------------------------------------- errors [57] 100.0% [67] 6182(7.3%) 300(0.4%) for-loop ...es/herbie/develop/src/points.rkt:230:2 ??? [76] 69.3% ??? [145] 10.4% ulp-difference [91] 5.5% ??? [82] 5.4% point-error [83] 4.5% --------------------------------------------------------------------------- for-loop [58] 100.0% [68] 3338(3.9%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:100:4 apply-match [77] 100.0% --------------------------------------------------------------------------- for-loop [59] 100.0% [69] 1560(1.8%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:117:0 for-loop [78] 100.0% --------------------------------------------------------------------------- for-loop [15] 50.0% for-loop [60] 50.0% [70] 1398(1.6%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:163:2 ??? [4] 50.0% rewriter [54] 50.0% --------------------------------------------------------------------------- argmin [65] 35.3% loop [61] 64.7% [71] 900(1.1%) 0(0.0%) for-loop .../herbie/develop/src/programs.rkt:205:2 table-ref [79] 100.0% --------------------------------------------------------------------------- *rules* [62] 100.0% [72] 682(0.8%) 0(0.0%) for-loop ...ies/herbie/develop/src/common.rkt:71:9 ormap [80] 100.0% --------------------------------------------------------------------------- override-at-pnts [63] 100.0% [73] 624(0.7%) 624(0.7%) for-loop .../develop/src/core/alt-table.rkt:139:22 --------------------------------------------------------------------------- loop [61] 100.0% [74] 576(0.7%) 0(0.0%) expression-cost .../develop/src/programs.rkt:204:0 compile [81] 100.0% --------------------------------------------------------------------------- for-loop [64] 100.0% [75] 320(0.4%) 320(0.4%) for-loop ...e/develop/src/core/simplify.rkt:157:23 --------------------------------------------------------------------------- for-loop [130] 0.5% loop [146] 1.4% ??? [164] 2.9% for-loop [67] 8.3% loop [27] 86.9% [76] 51694(60.8%) 784(0.9%) ??? ...tlies/herbie/develop/src/programs.rkt:146:2 ??? [85] 91.2% ??? [145] 7.3% --------------------------------------------------------------------------- loop [68] 100.0% [77] 3338(3.9%) 0(0.0%) apply-match .../develop/src/core/simplify.rkt:65:0 for-loop [88] 82.1% match-e [86] 17.9% --------------------------------------------------------------------------- set-precompute! [69] 100.0% [78] 1560(1.8%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:119:2 ??? [84] 80.4% setfindf [92] 19.6% --------------------------------------------------------------------------- for-loop [71] 100.0% [79] 900(1.1%) 282(0.3%) table-ref ...es/herbie/develop/src/common.rkt:42:0 for-loop [90] 68.7% --------------------------------------------------------------------------- for-loop [72] 100.0% [80] 682(0.8%) 0(0.0%) ormap ....0/collects/racket/private/map.rkt:141:13 flag-set? [89] 100.0% --------------------------------------------------------------------------- expression-cost [74] 100.0% [81] 576(0.7%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:181:0 hash-ref! [87] 100.0% --------------------------------------------------------------------------- for-loop [67] 100.0% [82] 334(0.4%) 334(0.4%) ??? ...7.0/collects/racket/private/for.rkt:1208:14 --------------------------------------------------------------------------- for-loop [67] 100.0% [83] 278(0.3%) 0(0.0%) point-error ...herbie/develop/src/points.rkt:195:0 ulp-difference [91] 100.0% --------------------------------------------------------------------------- for-loop [78] 0.5% run [11] 49.8% [84] 85006(100.0%) 660(0.8%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.8% prepare-points-intervals [12] 27.0% run-improve40 [2] 18.6% oracle-error [97] 1.6% get-final-combination [98] 1.5% errors [57] 0.5% errors-score [101] 0.4% eval-const-expr [134] 0.2% eval-errors [111] 0.2% --------------------------------------------------------------------------- ??? [76] 100.0% [85] 47152(55.5%) 566(0.7%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [93] 90.6% ??? [95] 7.5% double->posit16 [105] 0.7% --------------------------------------------------------------------------- apply-match [77] 3.8% for-loop [116] 16.2% for-loop [66] 80.0% [86] 7778(9.1%) 2144(2.5%) match-e ...herbie/develop/src/core/ematch.rkt:39:0 for-loop [94] 66.6% make-sequence [110] 3.8% ??? [38] 2.0% --------------------------------------------------------------------------- for-loop [21] 0.8% for-loop [139] 1.5% ??? [25] 2.2% map [133] 3.0% for-loop [18] 3.6% ??? [102] 3.6% eval-prog [147] 3.7% ??? [103] 4.9% for-loop [17] 5.9% compile [81] 7.9% localize-error [41] 8.5% loop [34] 11.9% loop [14] 13.5% loop [146] 13.9% ??? [145] 14.9% [87] 4504(5.3%) 886(1.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 parse-loop15 [119] 18.8% simplify [96] 14.2% ??? [99] 13.5% taylor [24] 11.3% ??? [103] 8.6% ??? [5] 5.9% ??? [6] 5.8% bigfloat-hash [104] 3.7% ??? [102] 3.6% f67 [113] 3.0% ??? [8] 1.5% ??? [10] 0.8% --------------------------------------------------------------------------- apply-match [77] 100.0% [88] 2742(3.2%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:78:2 merge-egraph-nodes! [100] 65.9% mk-enode! [106] 11.8% dedup-children! [107] 11.3% substitute-e [109] 10.9% --------------------------------------------------------------------------- ormap [80] 100.0% [89] 682(0.8%) 322(0.4%) flag-set? ...es/herbie/develop/src/config.rkt:28:0 return/no-unsupplied [175] 52.8% --------------------------------------------------------------------------- table-ref [79] 100.0% [90] 618(0.7%) 618(0.7%) for-loop ...ies/herbie/develop/src/common.rkt:44:4 --------------------------------------------------------------------------- point-error [83] 45.1% for-loop [67] 54.9% [91] 616(0.7%) 338(0.4%) ulp-difference ...erbie/develop/src/float.rkt:14:0 ??? [121] 45.1% --------------------------------------------------------------------------- for-loop [78] 100.0% [92] 306(0.4%) 0(0.0%) setfindf ...es/herbie/develop/src/common.rkt:139:0 for-loop [108] 100.0% --------------------------------------------------------------------------- ??? [85] 99.6% [93] 42742(50.3%) 596(0.7%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ival-sin [112] 86.1% ival-add [115] 6.6% ival-sub [118] 6.3% --------------------------------------------------------------------------- match-e [86] 100.0% [94] 5336(6.3%) 3138(3.7%) for-loop ...rbie/develop/src/core/ematch.rkt:52:11 for-loop [116] 37.7% loop [146] 6.1% cartesian-product [126] 6.1% loop [125] 3.0% --------------------------------------------------------------------------- ??? [85] 100.0% [95] 3514(4.1%) 1730(2.0%) ??? ...herbie/develop/src/syntax/syntax.rkt:317:17 return/no-unsupplied [175] 34.8% ??? [121] 16.0% --------------------------------------------------------------------------- map [133] 10.9% loop [146] 10.9% taylor-invert [156] 11.2% taylor-exp [26] 11.4% hash-ref! [87] 55.6% [96] 2952(3.5%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 parse-loop15 [119] 44.8% f67 [113] 33.4% simplify* [155] 10.9% debug5 [127] 10.9% --------------------------------------------------------------------------- ??? [84] 100.0% [97] 2736(3.2%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:212:0 for-loop [117] 100.0% --------------------------------------------------------------------------- ??? [84] 100.0% [98] 2584(3.0%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:361:0 f67 [113] 61.7% infer-splitpoints [120] 38.3% --------------------------------------------------------------------------- hash-ref! [87] 100.0% [99] 1940(2.3%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:68:15 ??? [145] 100.0% --------------------------------------------------------------------------- merge-egraph-nodes! [100] 20.2% for-loop [88] 79.8% [100] 1808(2.1%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:145:0 update-leader! [114] 57.2% loop! [167] 22.6% merge-egraph-nodes! [100] 20.2% --------------------------------------------------------------------------- loop [55] 35.3% ??? [84] 64.7% [101] 962(1.1%) 0(0.0%) errors-score ...erbie/develop/src/points.rkt:220:0 loop [146] 65.9% loop [124] 34.1% --------------------------------------------------------------------------- hash-ref! [87] 100.0% [102] 922(1.1%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:45:15 hash-ref! [87] 100.0% --------------------------------------------------------------------------- hash-ref! [87] 100.0% [103] 626(0.7%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:189:5 loop [146] 52.7% hash-ref! [87] 47.3% --------------------------------------------------------------------------- hash-ref! [87] 100.0% [104] 330(0.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:167:0 sig+exp->bigfloat [122] 100.0% --------------------------------------------------------------------------- ??? [85] 100.0% [105] 330(0.4%) 0(0.0%) double->posit16 ...ftposit-rkt/softposit.rkt:248:0 get-ffi-obj* [123] 100.0% --------------------------------------------------------------------------- for-loop [88] 100.0% [106] 324(0.4%) 324(0.4%) mk-enode! ...rbie/develop/src/core/egraph.rkt:99:0 --------------------------------------------------------------------------- for-loop [88] 100.0% [107] 310(0.4%) 0(0.0%) dedup-children! ...evelop/src/core/enode.rkt:199:0 loop [128] 100.0% --------------------------------------------------------------------------- setfindf [92] 100.0% [108] 306(0.4%) 306(0.4%) for-loop ...es/herbie/develop/src/common.rkt:140:2 --------------------------------------------------------------------------- for-loop [88] 33.3% for-loop [129] 66.7% [109] 300(0.4%) 0(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:64:0 for-loop [129] 66.7% ??? [38] 33.3% --------------------------------------------------------------------------- match-e [86] 100.0% [110] 298(0.4%) 298(0.4%) make-sequence ...ects/racket/private/for.rkt:528:2 --------------------------------------------------------------------------- ??? [84] 100.0% [111] 272(0.3%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:203:0 for-loop [130] 100.0% --------------------------------------------------------------------------- ??? [93] 100.0% [112] 36940(43.5%) 4030(4.7%) ival-sin ...rbie/develop/src/biginterval.rkt:287:0 ??? [131] 80.6% bfeven? [136] 4.3% bfodd? [143] 0.8% --------------------------------------------------------------------------- map [133] 8.8% hash-ref! [87] 21.2% simplify [96] 21.3% get-final-combination [98] 48.7% [113] 3274(3.9%) 0(0.0%) f67 ...0/collects/racket/match/compiler.rkt:507:40 sindices->spoints [135] 48.7% map [133] 31.5% eval-const-expr [134] 19.9% --------------------------------------------------------------------------- merge-egraph-nodes! [100] 38.7% for-loop [58] 61.3% [114] 3058(3.6%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:213:0 for-loop [132] 100.0% --------------------------------------------------------------------------- ??? [93] 100.0% [115] 2822(3.3%) 600(0.7%) ival-add ...erbie/develop/src/biginterval.rkt:87:0 ??? [131] 78.7% --------------------------------------------------------------------------- for-loop [94] 100.0% [116] 2802(3.3%) 610(0.7%) for-loop ...rbie/develop/src/core/ematch.rkt:58:37 match-e [86] 78.7% ??? [142] 5.4% --------------------------------------------------------------------------- oracle-error [97] 100.0% [117] 2736(3.2%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:213:2 loop [146] 63.8% map [133] 36.2% --------------------------------------------------------------------------- ??? [93] 100.0% [118] 2688(3.2%) 300(0.4%) ival-sub ...erbie/develop/src/biginterval.rkt:93:0 ??? [131] 88.8% --------------------------------------------------------------------------- for-loop [20] 12.7% hash-ref! [87] 37.2% simplify [96] 50.1% [119] 2638(3.1%) 0(0.0%) parse-loop15 ...s/racket/match/compiler.rkt:418:15 eval-const-expr [134] 50.1% loop [146] 24.4% for-loop [139] 12.7% ??? [131] 10.9% loop [138] 1.9% --------------------------------------------------------------------------- get-final-combination [98] 100.0% [120] 990(1.2%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:34:0 for-loop [137] 100.0% --------------------------------------------------------------------------- ulp-difference [91] 33.1% ??? [95] 66.9% [121] 840(1.0%) 840(1.0%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 --------------------------------------------------------------------------- bigfloat-hash [104] 100.0% [122] 330(0.4%) 330(0.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:387:0 --------------------------------------------------------------------------- double->posit16 [105] 100.0% [123] 330(0.4%) 0(0.0%) get-ffi-obj* ...-7.0/collects/ffi/unsafe.rkt:209:2 get-ffi-lib9 [140] 100.0% --------------------------------------------------------------------------- errors-score [101] 100.0% [124] 328(0.4%) 0(0.0%) loop .../racket-7.0/collects/racket/list.rkt:559:2 ordinary-value? [141] 100.0% --------------------------------------------------------------------------- for-loop [94] 100.0% [125] 324(0.4%) 324(0.4%) loop ...cket-7.0/collects/racket/function.rkt:53:6 --------------------------------------------------------------------------- for-loop [94] 100.0% [126] 324(0.4%) 324(0.4%) cartesian-product ...ollects/racket/list.rkt:822:0 --------------------------------------------------------------------------- simplify [96] 100.0% [127] 322(0.4%) 322(0.4%) debug5 ...tlies/herbie/develop/src/debug.rkt:102:0 --------------------------------------------------------------------------- dedup-children! [107] 33.3% loop [128] 66.7% [128] 310(0.4%) 0(0.0%) loop ...racket-7.0/collects/racket/list.rkt:417:34 loop [128] 66.7% loop [200] 33.3% --------------------------------------------------------------------------- substitute-e [109] 100.0% [129] 300(0.4%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:73:24 substitute-e [109] 100.0% --------------------------------------------------------------------------- eval-errors [111] 100.0% [130] 272(0.3%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:205:2 ??? [76] 100.0% --------------------------------------------------------------------------- parse-loop15 [119] 0.8% ival-add [115] 6.4% ival-sub [118] 6.9% ival-sin [112] 85.9% [131] 34674(40.8%) 11702(13.8%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfadd [144] 34.7% pi.bf [148] 11.3% bffloor [149] 10.4% bfsin [150] 9.8% --------------------------------------------------------------------------- update-leader! [114] 100.0% [132] 3058(3.6%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:218:6 for-loop [151] 59.9% hash-update! [162] 40.1% --------------------------------------------------------------------------- loop [146] 5.6% f67 [113] 29.0% taylor [24] 32.1% for-loop [117] 33.3% [133] 2974(3.5%) 0(0.0%) map ...t-7.0/collects/racket/private/map.rkt:35:13 ??? [164] 24.9% hash-ref! [87] 17.7% taylor-invert [156] 11.2% simplify [96] 10.8% taylor [24] 10.1% f67 [113] 9.7% loop [146] 8.3% ??? [145] 5.6% simplify* [155] 1.6% --------------------------------------------------------------------------- ??? [84] 23.1% f67 [113] 25.3% parse-loop15 [119] 51.5% [134] 2566(3.0%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:149:0 eval-prog [147] 100.0% --------------------------------------------------------------------------- f67 [113] 100.0% [135] 1594(1.9%) 0(0.0%) sindices->spoints ...op/src/core/regimes.rkt:215:0 for-loop [152] 100.0% --------------------------------------------------------------------------- ival-sin [112] 100.0% [136] 1578(1.9%) 610(0.7%) bfeven? ...ib/math/private/bigfloat/mpfr.rkt:800:0 size+limbs->integer [154] 42.3% ??? [158] 19.0% --------------------------------------------------------------------------- infer-splitpoints [120] 100.0% [137] 990(1.2%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:46:6 option-on-expr [153] 100.0% --------------------------------------------------------------------------- parse-loop15 [119] 1.4% loop [138] 98.6% [138] 358(0.4%) 358(0.4%) loop ...-7.0/collects/racket/private/map.rkt:54:19 loop [138] 98.6% --------------------------------------------------------------------------- parse-loop15 [119] 100.0% [139] 334(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:517:59 hash-ref! [87] 100.0% --------------------------------------------------------------------------- get-ffi-obj* [123] 100.0% [140] 330(0.4%) 0(0.0%) get-ffi-lib9 ...-7.0/collects/ffi/unsafe.rkt:121:0 get-cross-lib-search-dirs [157] 100.0% --------------------------------------------------------------------------- loop [124] 100.0% [141] 328(0.4%) 328(0.4%) ordinary-value? ...rbie/develop/src/float.rkt:54:0 --------------------------------------------------------------------------- for-loop [116] 100.0% [142] 302(0.4%) 302(0.4%) ??? ...ies/herbie/develop/src/core/ematch.rkt:43:5 --------------------------------------------------------------------------- ival-sin [112] 100.0% [143] 298(0.4%) 0(0.0%) bfodd? ...lib/math/private/bigfloat/mpfr.rkt:803:0 size+limbs->integer [154] 100.0% --------------------------------------------------------------------------- ??? [131] 100.0% [144] 12042(14.2%) 0(0.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [182] 67.4% ??? [158] 32.6% --------------------------------------------------------------------------- ??? [49] 1.6% loop [14] 2.1% map [133] 3.2% for-loop [67] 4.6% loop [27] 5.8% ??? [99] 6.2% ??? [31] 8.6% location-do [159] 16.1% for-loop [52] 16.1% ??? [76] 35.9% [145] 10474(12.3%) 1180(1.4%) ??? ...tract/private/arrow-higher-order.rkt:357:33 ->flonum [161] 29.0% location-do [159] 16.1% approximate9 [3] 16.1% mk-ival [163] 15.5% hash-ref! [87] 7.2% sample-multi-bounded [168] 5.4% best-alt [170] 1.6% --------------------------------------------------------------------------- for-loop [94] 0.1% errors-score [101] 0.1% loop! [167] 3.7% map [133] 5.0% taylor [24] 6.5% ??? [103] 6.7% parse-loop15 [119] 7.5% for-loop [117] 22.9% loop [146] 47.4% [146] 4926(5.8%) 1138(1.3%) loop ...-7.0/collects/racket/private/map.rkt:40:19 loop [146] 47.4% hash-ref! [87] 14.2% ??? [164] 11.8% ??? [76] 9.2% simplify [96] 6.5% loop! [167] 3.7% foldl [171] 0.1% map [133] 0.1% --------------------------------------------------------------------------- prepare-points-intervals [12] 6.9% errors [57] 39.9% eval-const-expr [134] 53.3% [147] 4816(5.7%) 0(0.0%) eval-prog ...herbie/develop/src/programs.rkt:130:0 temp68_2 [160] 87.3% hash-ref! [87] 6.9% inductor [172] 5.9% --------------------------------------------------------------------------- ??? [131] 100.0% [148] 3932(4.6%) 0(0.0%) pi.bf ...-lib/math/private/bigfloat/mpfr.rkt:998:4 new-mpfr [182] 82.3% ??? [158] 17.7% --------------------------------------------------------------------------- ??? [131] 100.0% [149] 3610(4.2%) 0(0.0%) bffloor ...ib/math/private/bigfloat/mpfr.rkt:716:4 ??? [158] 73.9% new-mpfr [182] 26.1% --------------------------------------------------------------------------- ??? [131] 100.0% [150] 3388(4.0%) 0(0.0%) bfsin ...-lib/math/private/bigfloat/mpfr.rkt:618:4 new-mpfr [182] 100.0% --------------------------------------------------------------------------- for-loop [132] 100.0% [151] 1832(2.2%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:219:8 hash-update! [162] 100.0% --------------------------------------------------------------------------- sindices->spoints [135] 100.0% [152] 1594(1.9%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:253:9 binary-search-floats [165] 81.2% pred [176] 18.8% --------------------------------------------------------------------------- for-loop [137] 100.0% [153] 990(1.2%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:150:0 err-lsts->split-indices [166] 66.3% for-loop [169] 33.7% --------------------------------------------------------------------------- bfodd? [143] 30.8% bfeven? [136] 69.2% [154] 966(1.1%) 966(1.1%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 --------------------------------------------------------------------------- simplify [96] 48.9% map [133] 51.1% [155] 658(0.8%) 658(0.8%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 --------------------------------------------------------------------------- map [133] 100.0% [156] 332(0.4%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:318:0 simplify [96] 100.0% --------------------------------------------------------------------------- get-ffi-lib9 [140] 100.0% [157] 330(0.4%) 330(0.4%) get-cross-lib-search-dirs ...rivate/dirs.rkt:168:7 --------------------------------------------------------------------------- bfeven? [136] 4.0% pi.bf [148] 9.2% bffloor [149] 35.2% bfadd [144] 51.7% [158] 7586(8.9%) 7586(8.9%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 --------------------------------------------------------------------------- ??? [145] 34.1% location-do [159] 65.9% [159] 4230(5.0%) 0(0.0%) location-do ...rbie/develop/src/programs.rkt:111:0 location-do [159] 65.9% ??? [145] 34.1% --------------------------------------------------------------------------- eval-prog [147] 100.0% [160] 4202(4.9%) 0(0.0%) temp68_2 (unknown source) compile16 [173] 100.0% --------------------------------------------------------------------------- ??? [145] 100.0% [161] 3204(3.8%) 2620(3.1%) ->flonum ...s/herbie/develop/src/programs.rkt:38:0 return/no-unsupplied [175] 18.2% --------------------------------------------------------------------------- for-loop [132] 40.1% for-loop [151] 59.9% [162] 3058(3.6%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [174] 100.0% --------------------------------------------------------------------------- ??? [145] 100.0% [163] 1624(1.9%) 322(0.4%) mk-ival ...herbie/develop/src/biginterval.rkt:59:0 bf [177] 80.2% --------------------------------------------------------------------------- map [133] 49.8% loop [146] 50.2% [164] 1490(1.8%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:214:26 ??? [76] 100.0% --------------------------------------------------------------------------- for-loop [152] 100.0% [165] 1294(1.5%) 0(0.0%) binary-search-floats ...src/core/regimes.rkt:196:0 pred [176] 100.0% --------------------------------------------------------------------------- option-on-expr [153] 100.0% [166] 656(0.8%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:282:0 loop [178] 100.0% --------------------------------------------------------------------------- loop [146] 50.0% merge-egraph-nodes! [100] 50.0% [167] 624(0.7%) 324(0.4%) loop! ...s/herbie/develop/src/core/enode.rkt:191:2 loop [146] 50.0% set [181] 24.0% --------------------------------------------------------------------------- ??? [145] 100.0% [168] 570(0.7%) 570(0.7%) sample-multi-bounded ...evelop/src/points.rkt:16:0 --------------------------------------------------------------------------- option-on-expr [153] 100.0% [169] 334(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:158:4 errors [57] 100.0% --------------------------------------------------------------------------- ??? [145] 100.0% [170] 332(0.4%) 0(0.0%) best-alt .../herbie/develop/src/mainloop.rkt:106:0 loop [179] 100.0% --------------------------------------------------------------------------- loop [146] 100.0% [171] 328(0.4%) 0(0.0%) foldl ....0/collects/racket/private/list.rkt:229:4 merge2 [180] 100.0% --------------------------------------------------------------------------- eval-prog [147] 100.0% [172] 284(0.3%) 284(0.3%) inductor .../herbie/develop/src/programs.rkt:135:4 --------------------------------------------------------------------------- temp68_2 [160] 100.0% [173] 4202(4.9%) 0(0.0%) compile16 (unknown source) temp74_0 [183] 100.0% --------------------------------------------------------------------------- hash-update! [162] 100.0% [174] 3058(3.6%) 322(0.4%) ??? ...s/herbie/develop/src/core/egraph.rkt:221:24 for-loop [184] 79.8% update-en-expr [189] 9.7% --------------------------------------------------------------------------- flag-set? [89] 16.6% ->flonum [161] 27.0% ??? [95] 56.4% [175] 2166(2.5%) 974(1.1%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [185] 55.0% --------------------------------------------------------------------------- for-loop [152] 18.8% binary-search-floats [165] 81.2% [176] 1594(1.9%) 0(0.0%) pred .../herbie/develop/src/core/regimes.rkt:224:4 without-timeline [186] 58.6% errors [57] 41.4% --------------------------------------------------------------------------- mk-ival [163] 100.0% [177] 1302(1.5%) 286(0.3%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [182] 78.0% --------------------------------------------------------------------------- err-lsts->split-indices [166] 100.0% [178] 656(0.8%) 0(0.0%) loop .../herbie/develop/src/core/regimes.rkt:333:4 for-loop [187] 100.0% --------------------------------------------------------------------------- best-alt [170] 100.0% [179] 332(0.4%) 0(0.0%) loop ...ghtlies/herbie/develop/src/common.rkt:94:2 ??? [188] 100.0% --------------------------------------------------------------------------- foldl [171] 100.0% [180] 328(0.4%) 328(0.4%) merge2 .../herbie/develop/src/core/ematch.rkt:24:0 --------------------------------------------------------------------------- loop! [167] 100.0% [181] 300(0.4%) 300(0.4%) set ...collects/racket/private/set-types.rkt:981:0 --------------------------------------------------------------------------- bffloor [149] 5.6% bf [177] 6.1% pi.bf [148] 19.4% bfsin [150] 20.3% bfadd [144] 48.6% [182] 16702(19.6%) 16702(19.6%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 --------------------------------------------------------------------------- compile16 [173] 100.0% [183] 4202(4.9%) 0(0.0%) temp74_0 (unknown source) expand-single [190] 76.4% compile-top9 [191] 23.6% --------------------------------------------------------------------------- ??? [174] 100.0% [184] 2440(2.9%) 2440(2.9%) for-loop ...bie/develop/src/core/egraph.rkt:222:26 --------------------------------------------------------------------------- return/no-unsupplied [175] 100.0% [185] 1192(1.4%) 1192(1.4%) filter ...0/collects/racket/private/list.rkt:256:2 --------------------------------------------------------------------------- pred [176] 100.0% [186] 934(1.1%) 0(0.0%) without-timeline .../develop/src/timeline.rkt:33:0 prepare-points-intervals [12] 100.0% --------------------------------------------------------------------------- loop [178] 100.0% [187] 656(0.8%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:298:4 for-loop [192] 100.0% --------------------------------------------------------------------------- loop [179] 100.0% [188] 332(0.4%) 0(0.0%) ??? ...lies/herbie/develop/src/mainloop.rkt:108:19 errors [57] 100.0% --------------------------------------------------------------------------- ??? [174] 100.0% [189] 296(0.3%) 296(0.3%) update-en-expr ...evelop/src/core/egraph.rkt:207:0 --------------------------------------------------------------------------- temp74_0 [183] 100.0% [190] 3212(3.8%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [193] 100.0% --------------------------------------------------------------------------- temp74_0 [183] 100.0% [191] 990(1.2%) 0(0.0%) compile-top9 (unknown source) compile-forms31 [194] 63.6% mpis-as-vector [195] 36.4% --------------------------------------------------------------------------- for-loop [187] 100.0% [192] 656(0.8%) 656(0.8%) for-loop ...bie/develop/src/core/regimes.rkt:302:8 --------------------------------------------------------------------------- expand-single [190] 100.0% [193] 3212(3.8%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [196] 89.6% dispatch-transformer41 [197] 10.4% --------------------------------------------------------------------------- compile-top9 [191] 100.0% [194] 630(0.7%) 0(0.0%) compile-forms31 (unknown source) for-loop [207] 100.0% --------------------------------------------------------------------------- compile-top9 [191] 100.0% [195] 360(0.4%) 360(0.4%) mpis-as-vector (unknown source) --------------------------------------------------------------------------- expand-capturing-lifts [193] 100.0% [196] 2878(3.4%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [198] 89.2% loop [200] 10.8% --------------------------------------------------------------------------- loop [200] 32.1% for-loop [207] 33.3% expand-capturing-lifts [193] 34.6% [197] 966(1.1%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [199] 100.0% --------------------------------------------------------------------------- lambda-clause-expander [196] 13.4% for-loop [207] 86.6% [198] 2568(3.0%) 0(0.0%) finish-bodys (unknown source) for-loop [207] 100.0% --------------------------------------------------------------------------- dispatch-transformer41 [197] 100.0% [199] 966(1.1%) 632(0.7%) apply-transformer52 (unknown source) loop [200] 34.6% --------------------------------------------------------------------------- loop [128] 15.9% lambda-clause-expander [196] 15.9% for-loop [207] 16.2% apply-transformer52 [199] 17.1% syntax-e/no-taint [19] 34.9% [200] 1950(2.3%) 310(0.4%) loop (unknown source) gf [201] 34.9% core-form-sym [202] 17.1% expand-id-application-form17 [203] 16.2% dispatch-transformer41 [197] 15.9% --------------------------------------------------------------------------- loop [200] 100.0% [201] 680(0.8%) 358(0.4%) gf (unknown source) propagation-apply [205] 47.4% --------------------------------------------------------------------------- loop [200] 100.0% [202] 334(0.4%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [204] 100.0% --------------------------------------------------------------------------- loop [200] 100.0% [203] 316(0.4%) 0(0.0%) expand-id-application-form17 (unknown source) resolve+shift28 [204] 100.0% --------------------------------------------------------------------------- expand-id-application-form17 [203] 32.5% expand-identifier [9] 33.1% core-form-sym [202] 34.4% [204] 972(1.1%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [206] 100.0% --------------------------------------------------------------------------- gf [201] 100.0% [205] 322(0.4%) 322(0.4%) propagation-apply (unknown source) --------------------------------------------------------------------------- resolve+shift28 [204] 100.0% [206] 972(1.1%) 0(0.0%) fallback-loop (unknown source) for-loop [207] 100.0% --------------------------------------------------------------------------- for-loop [207] 4.9% fallback-loop [206] 11.4% compile-forms31 [194] 17.8% finish-bodys [198] 65.9% [207] 3532(4.2%) 1898(2.2%) for-loop (unknown source) finish-bodys [198] 57.1% for-loop [207] 4.9% expand-body7 [208] 2.4% loop [200] 1.5% syntax-e [7] 1.3% dispatch-transformer41 [197] 0.9% expand-identifier [9] 0.5% --------------------------------------------------------------------------- for-loop [207] 100.0% [208] 334(0.4%) 334(0.4%) expand-body7 (unknown source) ---------------------------------------------------------------------------