Profiling results ----------------- Total cpu time observed: 92240ms (out of 93368ms) Number of samples taken: 274 (once every 337ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 201 hidden) ========================================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================================== run [24] 50.0% [1] 92240(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [13] 50.0% prepare-points [34] 25.2% run-improve39 [15] 24.6% get-final-combination [21] 0.2% ------------------------------------------------------------------------------------------ for-loop [69] 11.9% loop [143] 88.1% [2] 52798(57.2%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:129:2 ??? [14] 93.8% bf [90] 3.8% ??? [72] 1.8% ??? [196] 0.6% ------------------------------------------------------------------------------------------ ??? [72] 100.0% [3] 3542(3.8%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [16] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [119] 100.0% [4] 2870(3.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:285:26 for-loop [17] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [119] 100.0% [5] 2556(2.8%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:295:23 for-loop [18] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [119] 100.0% [6] 1896(2.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:392:23 for-loop [19] 100.0% ------------------------------------------------------------------------------------------ substitute-e [113] 19.2% match-e [105] 80.8% [7] 1582(1.7%) 0(0.0%) variable? ...e/develop/src/syntax/syntax.rkt:713:0 ??? [50] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [119] 100.0% [8] 1322(1.4%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:153:5 hash-ref! [119] 75.0% loop [143] 25.0% ------------------------------------------------------------------------------------------ f8 [82] 100.0% [9] 356(0.4%) 0(0.0%) loop ...es/herbie/develop/src/core/reduce.rkt:18:2 type-of [20] 100.0% ------------------------------------------------------------------------------------------ loop [151] 100.0% [10] 314(0.3%) 0(0.0%) stx-pair? .../collects/racket/private/stx.rkt:40:4 syntax-e [22] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [119] 100.0% [11] 314(0.3%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:322:33 simplify [77] 100.0% ------------------------------------------------------------------------------------------ loop [143] 100.0% [12] 312(0.3%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:140:0 for-loop [23] 100.0% ------------------------------------------------------------------------------------------ ??? [1] 100.0% [13] 92240(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [24] 100.0% ------------------------------------------------------------------------------------------ ??? [2] 100.0% [14] 49528(53.7%) 3716(4.0%) ??? ...acket/collects/racket/private/kw.rkt:592:14 ??? [154] 83.4% for-loop [26] 3.9% ??? [28] 2.0% ??? [29] 1.9% ...higher-order.rkt:361:33 [30] 1.4% ------------------------------------------------------------------------------------------ ??? [1] 100.0% [15] 45328(49.1%) 0(0.0%) run-improve39 ...ie/develop/src/mainloop.rkt:286:0 for-loop [25] 95.4% setup-prog!32 [27] 3.8% ??? [50] 0.8% ------------------------------------------------------------------------------------------ approximate9 [3] 100.0% [16] 3542(3.8%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 ??? [72] 100.0% ------------------------------------------------------------------------------------------ ??? [4] 100.0% [17] 2870(3.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:285:52 hash-ref! [119] 100.0% ------------------------------------------------------------------------------------------ ??? [5] 100.0% [18] 2556(2.8%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:298:27 hash-ref! [119] 94.1% simplify [77] 5.9% ------------------------------------------------------------------------------------------ ??? [6] 100.0% [19] 1896(2.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:396:33 hash-ref! [119] 100.0% ------------------------------------------------------------------------------------------ mterm->expr [182] 20.3% loop [9] 21.7% for-loop [65] 58.0% [20] 1644(1.8%) 0(0.0%) type-of .../herbie/develop/src/type-check.rkt:34:0 for-loop [186] 40.5% ??? [161] 39.9% table-ref [160] 19.6% ------------------------------------------------------------------------------------------ ??? [1] 100.0% [21] 338(0.4%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:309:0 infer-splitpoints [31] 100.0% ------------------------------------------------------------------------------------------ stx-pair? [10] 100.0% [22] 314(0.3%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [32] 100.0% ------------------------------------------------------------------------------------------ set-precompute! [12] 100.0% [23] 312(0.3%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:142:2 eval-const-expr [33] 100.0% ------------------------------------------------------------------------------------------ profile-thunk16 [13] 100.0% [24] 92240(100.0%) 0(0.0%) run ...racket/share/pkgs/profile-lib/main.rkt:39:2 ??? [1] 100.0% ------------------------------------------------------------------------------------------ run-improve39 [15] 100.0% [25] 43232(46.9%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:303:8 run-iter! [35] 100.0% ------------------------------------------------------------------------------------------ ??? [14] 100.0% [26] 1930(2.1%) 1278(1.4%) for-loop ...ie/develop/src/syntax/syntax.rkt:579:2 ...higher-order.rkt:357:33 [37] 17.0% fold-binary-pred [38] 16.8% ------------------------------------------------------------------------------------------ run-improve39 [15] 100.0% [27] 1728(1.9%) 0(0.0%) setup-prog!32 ...bie/develop/src/mainloop.rkt:63:0 prepare-points [34] 100.0% ------------------------------------------------------------------------------------------ ??? [14] 100.0% [28] 980(1.1%) 980(1.1%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 ------------------------------------------------------------------------------------------ ??? [14] 100.0% [29] 940(1.0%) 298(0.3%) ??? ...herbie/develop/src/syntax/syntax.rkt:195:17 ??? [84] 68.3% ------------------------------------------------------------------------------------------ ??? [14] 100.0% [30] 676(0.7%) 0(0.0%) ...higher-order.rkt:361:33 (unknown source) ??? [190] 100.0% ------------------------------------------------------------------------------------------ get-final-combination [21] 100.0% [31] 338(0.4%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:21:0 for-loop [36] 100.0% ------------------------------------------------------------------------------------------ syntax-e [22] 100.0% [32] 314(0.3%) 0(0.0%) syntax-e/no-taint (unknown source) loop [123] 100.0% ------------------------------------------------------------------------------------------ for-loop [23] 100.0% [33] 312(0.3%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:132:0 eval-prog [70] 100.0% ------------------------------------------------------------------------------------------ setup-prog!32 [27] 3.6% ??? [1] 96.4% [34] 48302(52.4%) 0(0.0%) prepare-points ...bie/develop/src/points.rkt:156:0 loop [48] 36.7% loop [40] 32.3% make-exacts* [49] 31.0% ------------------------------------------------------------------------------------------ for-loop [25] 100.0% [35] 43232(46.9%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:267:0 simplify! [39] 67.3% finalize-iter! [41] 20.0% gen-series! [42] 9.0% gen-rewrites! [43] 2.2% localize-error [44] 1.5% ------------------------------------------------------------------------------------------ infer-splitpoints [31] 100.0% [36] 338(0.4%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:33:6 option-on-expr [45] 100.0% ------------------------------------------------------------------------------------------ for-loop [26] 100.0% [37] 328(0.4%) 0(0.0%) ...higher-order.rkt:357:33 (unknown source) ??? [195] 100.0% ------------------------------------------------------------------------------------------ for-loop [26] 100.0% [38] 324(0.4%) 0(0.0%) fold-binary-pred ...gfloat/bigfloat-mpfr.rkt:117:0 ??? [46] 100.0% ------------------------------------------------------------------------------------------ run-iter! [35] 100.0% [39] 29080(31.5%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:181:0 for-loop [47] 100.0% ------------------------------------------------------------------------------------------ prepare-points [34] 100.0% [40] 15622(16.9%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:124:2 make-exacts* [49] 50.3% loop [48] 49.7% ------------------------------------------------------------------------------------------ run-iter! [35] 100.0% [41] 8658(9.4%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:221:0 ??? [50] 100.0% ------------------------------------------------------------------------------------------ run-iter! [35] 100.0% [42] 3876(4.2%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:151:0 for-loop [51] 100.0% ------------------------------------------------------------------------------------------ run-iter! [35] 100.0% [43] 954(1.0%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:164:0 for-loop [52] 100.0% ------------------------------------------------------------------------------------------ run-iter! [35] 100.0% [44] 664(0.7%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:47:0 hash-ref! [119] 100.0% ------------------------------------------------------------------------------------------ for-loop [36] 100.0% [45] 338(0.4%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:101:0 for-loop [53] 100.0% ------------------------------------------------------------------------------------------ fold-binary-pred [38] 100.0% [46] 324(0.4%) 324(0.4%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ------------------------------------------------------------------------------------------ simplify! [39] 100.0% [47] 29080(31.5%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:185:6 for-loop [54] 100.0% ------------------------------------------------------------------------------------------ loop [40] 30.5% prepare-points [34] 69.5% [48] 25474(27.6%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:107:4 loop [143] 100.0% ------------------------------------------------------------------------------------------ loop [40] 34.4% prepare-points [34] 65.6% [49] 22828(24.7%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:104:0 loop [143] 95.4% eval-prog [70] 4.6% ------------------------------------------------------------------------------------------ substitute-e [113] 2.4% run-improve39 [15] 2.9% match-e [105] 12.7% variable? [7] 12.7% finalize-iter! [41] 69.3% [50] 12488(13.5%) 1914(2.1%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [55] 72.3% hash-has-key? [58] 7.6% ??? [195] 4.8% ------------------------------------------------------------------------------------------ gen-series! [42] 100.0% [51] 3876(4.2%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:157:7 taylor-alt [56] 100.0% ------------------------------------------------------------------------------------------ gen-rewrites! [43] 100.0% [52] 954(1.0%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:169:11 ??? [57] 100.0% ------------------------------------------------------------------------------------------ option-on-expr [45] 100.0% [53] 338(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:109:4 errors [67] 100.0% ------------------------------------------------------------------------------------------ for-loop [47] 100.0% [54] 29080(31.5%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:209:8 ??? [72] 100.0% ------------------------------------------------------------------------------------------ ??? [50] 100.0% [55] 9026(9.8%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [59] 93.3% loop [62] 6.7% ------------------------------------------------------------------------------------------ for-loop [51] 100.0% [56] 3876(4.2%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:136:0 for-loop [60] 100.0% ------------------------------------------------------------------------------------------ for-loop [52] 100.0% [57] 954(1.0%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:60:0 rewriter [61] 100.0% ------------------------------------------------------------------------------------------ ??? [50] 100.0% [58] 944(1.0%) 310(0.3%) hash-has-key? ...ket/private/more-scheme.rkt:371:2 ??? [171] 67.2% ------------------------------------------------------------------------------------------ for-loop [55] 100.0% [59] 8418(9.1%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:210:0 best-and-tied-at-points [63] 74.5% override-at-pnts [64] 25.5% ------------------------------------------------------------------------------------------ taylor-alt [56] 100.0% [60] 3876(4.2%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:142:6 ??? [72] 100.0% ------------------------------------------------------------------------------------------ ??? [57] 33.3% matcher [68] 66.7% [61] 954(1.0%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [65] 100.0% ------------------------------------------------------------------------------------------ for-loop [55] 100.0% [62] 608(0.7%) 310(0.3%) loop ...erbie/develop/src/core/alt-table.rkt:184:2 loop [66] 49.0% ------------------------------------------------------------------------------------------ atab-add-altn [59] 100.0% [63] 6270(6.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [67] 100.0% ------------------------------------------------------------------------------------------ atab-add-altn [59] 100.0% [64] 2148(2.3%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 errors [67] 100.0% ------------------------------------------------------------------------------------------ rewriter [61] 100.0% [65] 954(1.0%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [68] 66.7% type-of [20] 33.3% ------------------------------------------------------------------------------------------ loop [62] 100.0% [66] 298(0.3%) 298(0.3%) loop ...erbie/develop/src/core/alt-table.rkt:106:2 ------------------------------------------------------------------------------------------ for-loop [53] 3.9% override-at-pnts [64] 24.5% best-and-tied-at-points [63] 71.6% [67] 8756(9.5%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:203:0 for-loop [69] 89.1% eval-prog [70] 10.9% ------------------------------------------------------------------------------------------ for-loop [71] 50.0% for-loop [65] 50.0% [68] 954(1.0%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:168:2 for-loop [71] 50.0% rewriter [61] 50.0% ------------------------------------------------------------------------------------------ errors [67] 100.0% [69] 7800(8.5%) 600(0.7%) for-loop ...es/herbie/develop/src/points.rkt:206:4 ??? [2] 80.3% ??? [72] 8.1% ulp-difference [74] 3.9% ------------------------------------------------------------------------------------------ eval-const-expr [33] 13.4% errors [67] 41.1% make-exacts* [49] 45.5% [70] 2326(2.5%) 0(0.0%) eval-prog ...herbie/develop/src/programs.rkt:109:0 temp68_2 [73] 40.2% f8 [82] 31.3% loop [123] 14.4% hash-ref! [119] 14.2% ------------------------------------------------------------------------------------------ matcher [68] 100.0% [71] 954(1.0%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:184:21 matcher [68] 100.0% ------------------------------------------------------------------------------------------ loop [143] 1.0% for-loop [69] 1.8% ??? [2] 2.8% loop [16] 3.4% for-loop [60] 3.9% for-loop [54] 42.1% location-do [75] 45.1% [72] 34920(37.9%) 668(0.7%) ??? ...tract/private/arrow-higher-order.rkt:357:33 location-do [75] 45.1% ??? [76] 41.2% ->flonum [79] 4.6% approximate9 [3] 3.4% hash-ref! [119] 3.4% simplify [77] 0.5% ------------------------------------------------------------------------------------------ eval-prog [70] 42.1% parse-loop14 [130] 57.9% [73] 2218(2.4%) 0(0.0%) temp68_2 (unknown source) compile16 [78] 100.0% ------------------------------------------------------------------------------------------ for-loop [69] 100.0% [74] 308(0.3%) 0(0.0%) ulp-difference ...erbie/develop/src/float.rkt:19:0 ??? [84] 100.0% ------------------------------------------------------------------------------------------ location-do [75] 41.3% ??? [72] 58.7% [75] 32644(35.4%) 0(0.0%) location-do ...erbie/develop/src/programs.rkt:90:0 ??? [72] 58.7% location-do [75] 41.3% ------------------------------------------------------------------------------------------ ??? [72] 100.0% [76] 28768(31.2%) 370(0.4%) ??? ...s/herbie/develop/src/core/simplify.rkt:31:0 iterate-egraph!7 [80] 86.3% loop [81] 11.4% mk-egraph [87] 1.0% ------------------------------------------------------------------------------------------ for-loop [18] 7.7% ??? [11] 8.1% ??? [72] 8.6% hash-ref! [119] 75.5% [77] 3876(4.2%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 parse-loop14 [130] 49.3% f8 [82] 34.8% debug7 [86] 8.1% simplify-node [85] 7.7% ------------------------------------------------------------------------------------------ temp68_2 [73] 100.0% [78] 2218(2.4%) 0(0.0%) compile16 (unknown source) temp74_0 [83] 100.0% ------------------------------------------------------------------------------------------ ??? [72] 100.0% [79] 1608(1.7%) 906(1.0%) ->flonum ...s/herbie/develop/src/programs.rkt:36:0 return/no-unsupplied [180] 22.9% ??? [84] 20.8% ------------------------------------------------------------------------------------------ ??? [76] 100.0% [80] 24816(26.9%) 0(0.0%) iterate-egraph!7 ...lop/src/core/simplify.rkt:55:0 one-iter [88] 97.5% ------------------------------------------------------------------------------------------ ??? [76] 100.0% [81] 3282(3.6%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:184:2 for-loop [89] 100.0% ------------------------------------------------------------------------------------------ map [91] 5.5% eval-prog [70] 9.3% simplify [77] 18.6% parse-loop14 [130] 21.1% hash-ref! [119] 21.7% f8 [82] 23.8% [82] 3058(3.3%) 324(0.4%) f8 ...et/collects/racket/match/compiler.rkt:507:40 map [91] 59.3% f8 [82] 23.8% bf [90] 6.8% table-ref [160] 2.6% loop [9] 2.3% ------------------------------------------------------------------------------------------ compile16 [78] 100.0% [83] 2218(2.4%) 0(0.0%) temp74_0 (unknown source) expand-single [92] 85.9% compile-top9 [94] 14.1% ------------------------------------------------------------------------------------------ ulp-difference [74] 24.0% ->flonum [79] 26.0% ??? [29] 50.0% [84] 1284(1.4%) 1284(1.4%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 ------------------------------------------------------------------------------------------ simplify [77] 47.3% map [91] 52.7% [85] 634(0.7%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:50:0 gather-additive-terms6 [93] 52.7% combine-aterms [95] 47.3% ------------------------------------------------------------------------------------------ simplify [77] 100.0% [86] 314(0.3%) 314(0.3%) debug7 ...tlies/herbie/develop/src/debug.rkt:102:0 ------------------------------------------------------------------------------------------ ??? [76] 100.0% [87] 300(0.3%) 0(0.0%) mk-egraph ...bie/develop/src/core/egraph.rkt:131:0 mk-enode-rec! [96] 100.0% ------------------------------------------------------------------------------------------ iterate-egraph!7 [80] 100.0% [88] 24196(26.2%) 0(0.0%) one-iter ...bie/develop/src/core/simplify.rkt:66:0 for-loop [97] 57.5% for-loop [98] 41.2% ------------------------------------------------------------------------------------------ loop [81] 100.0% [89] 3282(3.6%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:177:29 argmin [99] 79.3% loop [101] 20.7% ------------------------------------------------------------------------------------------ f8 [82] 17.2% ??? [2] 82.8% [90] 2408(2.6%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [170] 100.0% ------------------------------------------------------------------------------------------ parse-loop14 [130] 14.5% f8 [82] 85.5% [91] 2308(2.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:35:13 parse-loop14 [130] 42.3% loop [143] 29.9% hash-ref! [119] 13.3% f8 [82] 7.2% simplify-node [85] 7.2% ------------------------------------------------------------------------------------------ temp74_0 [83] 100.0% [92] 1906(2.1%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [100] 100.0% ------------------------------------------------------------------------------------------ simplify-node [85] 100.0% [93] 334(0.4%) 0(0.0%) gather-additive-terms6 ...src/core/reduce.rkt:72:0 append-map [102] 100.0% ------------------------------------------------------------------------------------------ temp74_0 [83] 100.0% [94] 312(0.3%) 0(0.0%) compile-top9 (unknown source) compile-forms31 [103] 100.0% ------------------------------------------------------------------------------------------ simplify-node [85] 100.0% [95] 300(0.3%) 300(0.3%) combine-aterms ...evelop/src/core/reduce.rkt:183:0 ------------------------------------------------------------------------------------------ mk-enode-rec! [96] 50.0% mk-egraph [87] 50.0% [96] 300(0.3%) 0(0.0%) mk-enode-rec! ...develop/src/core/egraph.rkt:122:0 mk-enode-rec! [96] 50.0% mk-enode! [129] 50.0% ------------------------------------------------------------------------------------------ one-iter [88] 100.0% [97] 13918(15.1%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:113:2 for-loop [104] 86.5% match-e [105] 4.5% custom-set-intersect [109] 4.5% custom-subset? [111] 2.2% update-leader! [122] 2.2% ------------------------------------------------------------------------------------------ for-loop [98] 50.0% one-iter [88] 50.0% [98] 9966(10.8%) 308(0.3%) for-loop ...ie/develop/src/core/simplify.rkt:76:12 for-loop [98] 50.0% match-e [105] 48.5% ------------------------------------------------------------------------------------------ for-loop [89] 100.0% [99] 2604(2.8%) 0(0.0%) argmin ...92/racket/collects/racket/list.rkt:765:0 expression-cost [107] 50.7% for-loop [106] 49.3% ------------------------------------------------------------------------------------------ loop [123] 14.9% expand-single [92] 85.1% [100] 2240(2.4%) 0(0.0%) expand-capturing-lifts (unknown source) for-loop [162] 43.1% dispatch-transformer41 [108] 29.1% lambda-clause-expander [110] 27.8% ------------------------------------------------------------------------------------------ for-loop [89] 100.0% [101] 678(0.7%) 0(0.0%) loop .../p92/racket/collects/racket/list.rkt:751:4 for-loop [106] 100.0% ------------------------------------------------------------------------------------------ gather-additive-terms6 [93] 100.0% [102] 334(0.4%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:586:2 parse-loop14 [130] 100.0% ------------------------------------------------------------------------------------------ compile-top9 [94] 100.0% [103] 312(0.3%) 0(0.0%) compile-forms31 (unknown source) for-loop [162] 100.0% ------------------------------------------------------------------------------------------ for-loop [97] 100.0% [104] 12044(13.1%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:98:4 substitute-e [113] 38.9% mk-enode! [129] 27.3% merge-egraph-nodes! [114] 23.4% loop! [132] 10.4% ------------------------------------------------------------------------------------------ for-loop [97] 3.0% for-loop [120] 24.1% for-loop [98] 72.9% [105] 10284(11.1%) 3522(3.8%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [112] 57.0% ??? [50] 9.7% variable? [7] 4.7% ------------------------------------------------------------------------------------------ loop [101] 34.6% argmin [99] 65.4% [106] 1962(2.1%) 298(0.3%) for-loop .../herbie/develop/src/programs.rkt:169:2 ...velop/src/common.rkt:48:2 [163] 49.6% table-ref [160] 35.2% ------------------------------------------------------------------------------------------ argmin [99] 100.0% [107] 1320(1.4%) 0(0.0%) expression-cost .../develop/src/programs.rkt:168:0 compile [115] 100.0% ------------------------------------------------------------------------------------------ loop [123] 24.4% for-loop [162] 25.0% expand-capturing-lifts [100] 50.6% [108] 1288(1.4%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [116] 100.0% ------------------------------------------------------------------------------------------ for-loop [97] 100.0% [109] 626(0.7%) 0(0.0%) custom-set-intersect ...rivate/set-types.rkt:195:0 for-loop [117] 100.0% ------------------------------------------------------------------------------------------ expand-capturing-lifts [100] 100.0% [110] 622(0.7%) 0(0.0%) lambda-clause-expander (unknown source) loop [123] 50.5% finish-bodys [118] 49.5% ------------------------------------------------------------------------------------------ for-loop [97] 100.0% [111] 312(0.3%) 312(0.3%) custom-subset? ...acket/private/set-types.rkt:68:0 ------------------------------------------------------------------------------------------ match-e [105] 100.0% [112] 7082(7.7%) 2276(2.5%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [120] 61.3% list-cartesian-product [125] 9.1% ------------------------------------------------------------------------------------------ for-loop [121] 11.8% for-loop [104] 88.2% [113] 4682(5.1%) 608(0.7%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 for-loop [121] 85.9% variable? [7] 2.2% ??? [50] 2.1% ------------------------------------------------------------------------------------------ for-loop [124] 13.6% for-loop [104] 86.4% [114] 2818(3.1%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:153:0 update-leader! [122] 55.0% for-loop [124] 39.6% update-en-expr [178] 5.4% ------------------------------------------------------------------------------------------ expression-cost [107] 100.0% [115] 1320(1.4%) 328(0.4%) compile ...s/herbie/develop/src/programs.rkt:145:0 hash-ref! [119] 75.2% ------------------------------------------------------------------------------------------ dispatch-transformer41 [108] 100.0% [116] 1288(1.4%) 0(0.0%) apply-transformer52 (unknown source) loop [123] 49.7% apply-post-expansion [127] 25.9% apply-transformer-in-context [128] 24.4% ------------------------------------------------------------------------------------------ custom-set-intersect [109] 100.0% [117] 626(0.7%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:207:3 for-loop [126] 100.0% ------------------------------------------------------------------------------------------ lambda-clause-expander [110] 6.7% for-loop [162] 93.3% [118] 308(0.3%) 0(0.0%) finish-bodys (unknown source) for-loop [162] 100.0% ------------------------------------------------------------------------------------------ map [91] 1.9% ??? [137] 2.1% eval-prog [70] 3.0% localize-error [44] 5.1% for-loop [19] 5.5% compile [115] 6.0% loop [143] 8.1% ??? [8] 12.0% for-loop [17] 12.8% for-loop [18] 12.9% ??? [131] 15.4% ??? [72] 15.4% [119] 5528(6.0%) 992(1.1%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [131] 15.4% ??? [8] 15.0% ??? [5] 14.0% ??? [4] 12.8% simplify [77] 12.4% parse-loop14 [130] 6.9% ??? [6] 5.5% f8 [82] 5.1% bigfloat-hash [140] 3.0% ??? [137] 2.1% ??? [11] 1.9% ------------------------------------------------------------------------------------------ for-loop [112] 100.0% [120] 4856(5.3%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [105] 86.7% ??? [134] 13.3% ------------------------------------------------------------------------------------------ substitute-e [113] 100.0% [121] 4374(4.7%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:80:24 mk-enode! [129] 79.3% substitute-e [113] 20.7% ------------------------------------------------------------------------------------------ for-loop [97] 16.7% merge-egraph-nodes! [114] 83.3% [122] 1860(2.0%) 314(0.3%) update-leader! ...evelop/src/core/egraph.rkt:218:0 for-loop [133] 49.8% for-loop [136] 33.3% ------------------------------------------------------------------------------------------ eval-prog [70] 2.3% loop [123] 7.0% syntax-e/no-taint [32] 9.8% lambda-clause-expander [110] 9.8% gf [139] 11.6% for-loop [162] 19.3% apply-transformer52 [116] 40.1% [123] 1596(1.7%) 648(0.7%) loop (unknown source) core-form-sym [135] 40.1% expand-id-application-form17 [142] 19.3% dispatch-transformer41 [108] 9.8% gf [139] 9.3% loop [123] 7.0% expand-capturing-lifts [100] 2.3% ------------------------------------------------------------------------------------------ merge-egraph-nodes! [114] 100.0% [124] 1268(1.4%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:201:10 loop! [132] 57.8% merge-egraph-nodes! [114] 42.2% ------------------------------------------------------------------------------------------ list-cartesian-product [125] 15.8% for-loop [112] 84.2% [125] 980(1.1%) 636(0.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [138] 35.1% list-cartesian-product [125] 15.8% ------------------------------------------------------------------------------------------ for-loop [117] 100.0% [126] 626(0.7%) 626(0.7%) for-loop ...cts/racket/private/set-types.rkt:201:4 ------------------------------------------------------------------------------------------ apply-transformer52 [116] 100.0% [127] 334(0.4%) 0(0.0%) apply-post-expansion (unknown source) gf [139] 100.0% ------------------------------------------------------------------------------------------ apply-transformer52 [116] 100.0% [128] 314(0.3%) 0(0.0%) apply-transformer-in-context (unknown source) go [141] 100.0% ------------------------------------------------------------------------------------------ mk-enode-rec! [96] 4.2% for-loop [104] 46.6% for-loop [121] 49.1% [129] 7064(7.7%) 300(0.3%) mk-enode! ...bie/develop/src/core/egraph.rkt:102:0 new-enode [144] 91.5% for-loop [152] 4.2% ------------------------------------------------------------------------------------------ loop [143] 8.2% append-map [102] 9.4% hash-ref! [119] 18.6% map [91] 19.8% simplify [77] 21.2% parse-loop14 [130] 22.9% [130] 3570(3.9%) 964(1.0%) parse-loop14 ...s/racket/match/compiler.rkt:418:15 loop [143] 23.6% parse-loop14 [130] 22.9% temp68_2 [73] 17.8% f8 [82] 16.6% for-loop [149] 9.4% map [91] 3.1% ------------------------------------------------------------------------------------------ hash-ref! [119] 100.0% [131] 3542(3.8%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:44:15 hash-ref! [119] 100.0% ------------------------------------------------------------------------------------------ loop [143] 20.3% for-loop [124] 36.8% for-loop [104] 42.9% [132] 2212(2.4%) 344(0.4%) loop! ...s/herbie/develop/src/core/enode.rkt:190:2 custom-set-union [145] 43.8% loop [143] 20.3% update-en-expr [178] 13.7% set [153] 6.7% ------------------------------------------------------------------------------------------ update-leader! [122] 100.0% [133] 926(1.0%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:223:6 for-loop [146] 100.0% ------------------------------------------------------------------------------------------ for-loop [120] 100.0% [134] 648(0.7%) 314(0.3%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 for-loop [148] 51.5% ------------------------------------------------------------------------------------------ loop [123] 100.0% [135] 640(0.7%) 318(0.3%) core-form-sym (unknown source) resolve+shift28 [147] 50.3% ------------------------------------------------------------------------------------------ update-leader! [122] 100.0% [136] 620(0.7%) 620(0.7%) for-loop ...rbie/develop/src/core/egraph.rkt:233:6 ------------------------------------------------------------------------------------------ hash-ref! [119] 100.0% [137] 356(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:338:33 hash-ref! [119] 100.0% ------------------------------------------------------------------------------------------ list-cartesian-product [125] 100.0% [138] 344(0.4%) 344(0.4%) for-loop ...erbie/develop/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------------------------ apply-post-expansion [127] 20.0% loop [123] 80.0% [139] 334(0.4%) 0(0.0%) gf (unknown source) loop [123] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [119] 100.0% [140] 330(0.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:167:0 bfcanonicalize [150] 100.0% ------------------------------------------------------------------------------------------ apply-transformer-in-context [128] 100.0% [141] 314(0.3%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [151] 100.0% ------------------------------------------------------------------------------------------ loop [123] 100.0% [142] 308(0.3%) 0(0.0%) expand-id-application-form17 (unknown source) resolve+shift28 [147] 100.0% ------------------------------------------------------------------------------------------ loop! [132] 0.1% make-exacts* [49] 0.4% ??? [8] 0.7% map [91] 0.7% loop [48] 0.8% parse-loop14 [130] 1.1% loop [143] 96.3% [143] 50414(54.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:40:19 loop [143] 96.3% parse-loop14 [130] 1.7% ??? [2] 1.2% hash-ref! [119] 0.7% loop! [132] 0.1% ??? [154] 0.0% ??? [196] 0.0% set-precompute! [12] 0.0% ??? [72] 0.0% ------------------------------------------------------------------------------------------ mk-enode! [129] 100.0% [144] 6464(7.0%) 0(0.0%) new-enode ...erbie/develop/src/core/enode.rkt:95:0 type-of-enode-expr [155] 100.0% ------------------------------------------------------------------------------------------ loop! [132] 100.0% [145] 968(1.0%) 322(0.3%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [157] 66.7% ------------------------------------------------------------------------------------------ for-loop [133] 100.0% [146] 926(1.0%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:224:8 hash-update! [156] 100.0% ------------------------------------------------------------------------------------------ expand-id-application-form17 [142] 48.9% core-form-sym [135] 51.1% [147] 630(0.7%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [158] 100.0% ------------------------------------------------------------------------------------------ ??? [134] 100.0% [148] 334(0.4%) 334(0.4%) for-loop ...erbie/develop/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------------------------ parse-loop14 [130] 100.0% [149] 334(0.4%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:99:13 make-multiplication-node [159] 100.0% ------------------------------------------------------------------------------------------ bigfloat-hash [140] 100.0% [150] 330(0.4%) 330(0.4%) bfcanonicalize .../private/bigfloat/mpfr.rkt:157:0 ------------------------------------------------------------------------------------------ go [141] 33.3% loop [151] 66.7% [151] 314(0.3%) 0(0.0%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [151] 66.7% stx-pair? [10] 33.3% ------------------------------------------------------------------------------------------ mk-enode! [129] 100.0% [152] 300(0.3%) 300(0.3%) for-loop ...bie/develop/src/core/egraph.rkt:114:10 ------------------------------------------------------------------------------------------ loop! [132] 100.0% [153] 296(0.3%) 296(0.3%) set ...collects/racket/private/set-types.rkt:981:0 ------------------------------------------------------------------------------------------ loop [143] 0.9% ??? [14] 99.1% [154] 41642(45.1%) 40546(44.0%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfadd [164] 2.6% ------------------------------------------------------------------------------------------ new-enode [144] 100.0% [155] 6464(7.0%) 310(0.3%) type-of-enode-expr ...elop/src/core/enode.rkt:68:0 ??? [161] 35.4% table-ref [160] 25.2% for-loop [186] 24.8% ...velop/src/common.rkt:48:2 [163] 5.1% coerce-contract [168] 4.7% ------------------------------------------------------------------------------------------ for-loop [146] 100.0% [156] 926(1.0%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [165] 100.0% ------------------------------------------------------------------------------------------ custom-set-union [145] 100.0% [157] 646(0.7%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [166] 100.0% ------------------------------------------------------------------------------------------ resolve+shift28 [147] 100.0% [158] 630(0.7%) 0(0.0%) fallback-loop (unknown source) for-loop [162] 100.0% ------------------------------------------------------------------------------------------ for-loop [149] 100.0% [159] 334(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:230:0 make-multiplication-subnode [167] 100.0% ------------------------------------------------------------------------------------------ f8 [82] 10.6% type-of [20] 10.9% for-loop [106] 23.4% type-of-enode-expr [155] 55.1% [160] 2952(3.2%) 1008(1.1%) table-ref ...es/herbie/develop/src/common.rkt:47:0 ??? [171] 65.9% ------------------------------------------------------------------------------------------ type-of [20] 22.3% type-of-enode-expr [155] 77.7% [161] 2946(3.2%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:227:4 contract-pos/neg-doubling/proc [169] 100.0% ------------------------------------------------------------------------------------------ fallback-loop [158] 4.1% expand-capturing-lifts [100] 14.8% finish-bodys [118] 18.2% compile-forms31 [103] 19.7% for-loop [162] 43.2% [162] 1586(1.7%) 1586(1.7%) for-loop (unknown source) for-loop [162] 43.2% finish-bodys [118] 17.0% dispatch-transformer41 [108] 2.9% loop [123] 1.2% ------------------------------------------------------------------------------------------ type-of-enode-expr [155] 25.4% for-loop [106] 74.6% [163] 1306(1.4%) 0(0.0%) ...velop/src/common.rkt:48:2 ...e/arr-i.rkt:918:19 ??? [172] 50.1% ??? [173] 49.9% ------------------------------------------------------------------------------------------ ??? [154] 100.0% [164] 1096(1.2%) 324(0.4%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [170] 37.4% ??? [175] 33.0% ------------------------------------------------------------------------------------------ hash-update! [156] 100.0% [165] 926(1.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:226:24 for-loop [174] 66.5% make-sequence [177] 33.5% ------------------------------------------------------------------------------------------ for-loop [157] 100.0% [166] 646(0.7%) 646(0.7%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------------------------ make-multiplication-node [159] 100.0% [167] 334(0.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:240:0 for-loop [176] 100.0% ------------------------------------------------------------------------------------------ type-of-enode-expr [155] 100.0% [168] 302(0.3%) 302(0.3%) coerce-contract ...contract/private/guts.rkt:285:0 ------------------------------------------------------------------------------------------ ??? [161] 100.0% [169] 2946(3.2%) 2612(2.8%) contract-pos/neg-doubling/proc ...e/guts.rkt:956:0 ??? [183] 11.3% ------------------------------------------------------------------------------------------ bfadd [164] 14.5% bf [90] 85.5% [170] 2818(3.1%) 2818(3.1%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ------------------------------------------------------------------------------------------ hash-has-key? [58] 24.6% table-ref [160] 75.4% [171] 2578(2.8%) 304(0.3%) ??? ...ects/racket/contract/private/list.rkt:798:4 for-loop [179] 37.9% ??? [188] 25.8% successfully-got-the-right-kind-of-function [181] 13.0% arrow-higher-order:lnp [185] 11.6% ------------------------------------------------------------------------------------------ ??? [190] 25.4% ...velop/src/common.rkt:48:2 [163] 74.6% [172] 654(0.7%) 332(0.4%) ??? ...ects/racket/contract/private/list.rkt:367:4 ??? [190] 74.6% ------------------------------------------------------------------------------------------ ...velop/src/common.rkt:48:2 [163] 100.0% [173] 652(0.7%) 320(0.3%) ??? ...s/racket/contract/private/arr-i.rkt:1286:39 return/no-unsupplied [180] 50.9% ------------------------------------------------------------------------------------------ ??? [165] 100.0% [174] 616(0.7%) 308(0.3%) for-loop ...bie/develop/src/core/egraph.rkt:227:26 update-en-expr [178] 50.0% ------------------------------------------------------------------------------------------ bfadd [164] 100.0% [175] 362(0.4%) 362(0.4%) ??? /home/p92/racket/collects/ffi/unsafe.rkt:898:4 ------------------------------------------------------------------------------------------ make-multiplication-subnode [167] 100.0% [176] 334(0.4%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:242:3 mterm->expr [182] 100.0% ------------------------------------------------------------------------------------------ ??? [165] 100.0% [177] 310(0.3%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:528:2 ??? [184] 100.0% ------------------------------------------------------------------------------------------ merge-egraph-nodes! [114] 25.1% for-loop [174] 25.3% loop! [132] 49.6% [178] 1218(1.3%) 0(0.0%) update-en-expr ...evelop/src/core/egraph.rkt:212:0 for-loop [187] 100.0% ------------------------------------------------------------------------------------------ ??? [171] 100.0% [179] 976(1.1%) 314(0.3%) for-loop ...acket/contract/private/list.rkt:804:12 for-loop [186] 34.2% ??? [188] 33.6% ------------------------------------------------------------------------------------------ ??? [173] 47.4% ->flonum [79] 52.6% [180] 700(0.8%) 700(0.8%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ------------------------------------------------------------------------------------------ ??? [171] 100.0% [181] 334(0.4%) 334(0.4%) successfully-got-the-right-kind-of-function ...5:4 ------------------------------------------------------------------------------------------ for-loop [176] 100.0% [182] 334(0.4%) 0(0.0%) mterm->expr ...e/develop/src/core/reduce.rkt:270:0 type-of [20] 100.0% ------------------------------------------------------------------------------------------ contract-pos/neg-doubling/proc [169] 100.0% [183] 334(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:191:2 ??? [189] 100.0% ------------------------------------------------------------------------------------------ make-sequence [177] 100.0% [184] 310(0.3%) 310(0.3%) ??? ...acket/collects/racket/private/for.rkt:448:7 ------------------------------------------------------------------------------------------ ??? [171] 100.0% [185] 300(0.3%) 300(0.3%) arrow-higher-order:lnp ...w-higher-order.rkt:633:7 ------------------------------------------------------------------------------------------ for-loop [179] 12.8% type-of [20] 25.6% type-of-enode-expr [155] 61.6% [186] 2604(2.8%) 0(0.0%) for-loop ...racket/contract/private/hash.rkt:277:6 ??? [190] 100.0% ------------------------------------------------------------------------------------------ update-en-expr [178] 100.0% [187] 1218(1.3%) 1218(1.3%) for-loop ...rbie/develop/src/core/egraph.rkt:214:6 ------------------------------------------------------------------------------------------ for-loop [179] 33.1% ??? [171] 66.9% [188] 992(1.1%) 322(0.3%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [191] 67.5% ------------------------------------------------------------------------------------------ ??? [183] 100.0% [189] 334(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:739:5 get/build-late-neg-projection [192] 100.0% ------------------------------------------------------------------------------------------ ??? [172] 16.6% ...higher-order.rkt:361:33 [30] 17.2% for-loop [186] 66.2% [190] 3934(4.3%) 634(0.7%) ??? ...cts/racket/contract/private/list.rkt:209:10 ??? [193] 66.2% ??? [195] 9.3% ??? [172] 8.4% ------------------------------------------------------------------------------------------ ??? [188] 100.0% [191] 670(0.7%) 670(0.7%) make-keyword-procedure ...ket/private/kw.rkt:407:4 ------------------------------------------------------------------------------------------ ??? [189] 100.0% [192] 334(0.4%) 0(0.0%) get/build-late-neg-projection ...te/guts.rkt:793:0 ??? [194] 100.0% ------------------------------------------------------------------------------------------ ??? [190] 100.0% [193] 2604(2.8%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:747:7 ??? [195] 87.2% ??? [196] 12.8% ------------------------------------------------------------------------------------------ get/build-late-neg-projection [192] 100.0% [194] 334(0.4%) 0(0.0%) ??? ...cts/racket/contract/private/prop.rkt:344:12 build-compound-type-name [197] 100.0% ------------------------------------------------------------------------------------------ ...higher-order.rkt:357:33 [37] 9.2% ??? [190] 10.2% ??? [50] 16.9% ??? [193] 63.7% [195] 3566(3.9%) 3566(3.9%) ??? ...ects/racket/contract/private/guts.rkt:746:8 ------------------------------------------------------------------------------------------ ??? [2] 23.2% ??? [193] 25.9% loop [143] 50.9% [196] 1292(1.4%) 1292(1.4%) ??? ...ects/racket/contract/private/prop.rkt:519:4 ------------------------------------------------------------------------------------------ contract-struct-name [198] 50.0% ??? [194] 50.0% [197] 334(0.4%) 334(0.4%) build-compound-type-name ...private/guts.rkt:515:0 contract-struct-name [198] 50.0% ------------------------------------------------------------------------------------------ build-compound-type-name [197] 100.0% [198] 334(0.4%) 0(0.0%) contract-struct-name ...ract/private/prop.rkt:87:0 build-compound-type-name [197] 100.0% ------------------------------------------------------------------------------------------