Profiling results ----------------- Total cpu time observed: 69730ms (out of 70204ms) Number of samples taken: 235 (once every 297ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 209 hidden) ========================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================= ??? [97] 100.0% [1] 69730(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [17] 100.0% ------------------------------------------------------------------------- ??? [97] 100.0% [2] 42298(60.7%) 0(0.0%) run-improve40 ...ie/develop/src/mainloop.rkt:336:0 for-loop [18] 98.5% prepare-points-intervals [19] 1.5% ------------------------------------------------------------------------- ??? [103] 100.0% [3] 5942(8.5%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [20] 75.1% for-loop [25] 20.8% taylor [34] 4.1% ------------------------------------------------------------------------- hash-ref! [169] 100.0% [4] 3876(5.6%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:45:15 hash-ref! [169] 92.3% ??? [30] 7.7% ------------------------------------------------------------------------- expand-capturing-lifts [194] 20.1% for-loop [206] 24.6% loop [197] 55.3% [5] 3672(5.3%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [21] 100.0% ------------------------------------------------------------------------- loop [197] 33.5% for-loop [206] 66.5% [6] 2502(3.6%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [22] 100.0% ------------------------------------------------------------------------- hash-ref! [169] 100.0% [7] 2116(3.0%) 254(0.4%) ??? ...s/herbie/develop/src/core/taylor.rkt:291:26 for-loop [24] 88.0% ------------------------------------------------------------------------- hash-ref! [169] 100.0% [8] 2072(3.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:301:23 for-loop [23] 100.0% ------------------------------------------------------------------------- hash-ref! [169] 100.0% [9] 1248(1.8%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:407:23 for-loop [28] 60.3% for-loop [35] 39.7% ------------------------------------------------------------------------- matcher [88] 100.0% [10] 1116(1.6%) 0(0.0%) ??? .../herbie/develop/src/core/matcher.rkt:175:11 for-loop [26] 100.0% ------------------------------------------------------------------------- hash-ref! [169] 100.0% [11] 1074(1.5%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:510:23 for-loop [27] 100.0% ------------------------------------------------------------------------- match-e [99] 100.0% [12] 818(1.2%) 0(0.0%) variable? .../develop/src/syntax/syntax.rkt:1159:0 ??? [49] 100.0% ------------------------------------------------------------------------- for-loop [206] 100.0% [13] 578(0.8%) 246(0.4%) expand-identifier (unknown source) resolve+shift28 [202] 57.4% ------------------------------------------------------------------------- taylor [34] 100.0% [14] 498(0.7%) 0(0.0%) taylor-sqrt ...e/develop/src/core/taylor.rkt:352:0 hash-ref! [169] 51.0% first-nonzero-exp [29] 49.0% ------------------------------------------------------------------------- for-loop [206] 100.0% [15] 334(0.5%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [202] 100.0% ------------------------------------------------------------------------- taylor [34] 100.0% [16] 248(0.4%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:318:0 first-nonzero-exp [29] 100.0% ------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [17] 69730(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [97] 100.0% ------------------------------------------------------------------------- run-improve40 [2] 100.0% [18] 41680(59.8%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:351:4 run-iter! [31] 100.0% ------------------------------------------------------------------------- run-improve40 [2] 2.4% ??? [97] 97.6% [19] 25992(37.3%) 0(0.0%) prepare-points-intervals ...p/src/points.rkt:133:0 loop [32] 100.0% ------------------------------------------------------------------------- approximate9 [3] 100.0% [20] 4460(6.4%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 ??? [103] 100.0% ------------------------------------------------------------------------- dispatch-transformer41 [5] 100.0% [21] 3672(5.3%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [33] 64.5% loop [197] 28.8% apply-post-expansion [36] 6.7% ------------------------------------------------------------------------- syntax-e [6] 100.0% [22] 2502(3.6%) 0(0.0%) syntax-e/no-taint (unknown source) loop [197] 100.0% ------------------------------------------------------------------------- ??? [8] 100.0% [23] 2072(3.0%) 258(0.4%) for-loop ...bie/develop/src/core/taylor.rkt:304:27 hash-ref! [169] 87.5% ------------------------------------------------------------------------- ??? [7] 100.0% [24] 1862(2.7%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:291:52 hash-ref! [169] 100.0% ------------------------------------------------------------------------- approximate9 [3] 100.0% [25] 1238(1.8%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:30:18 taylor [34] 100.0% ------------------------------------------------------------------------- ??? [10] 100.0% [26] 1116(1.6%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:179:21 matcher [88] 100.0% ------------------------------------------------------------------------- ??? [11] 100.0% [27] 1074(1.5%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:514:35 parse-loop80 [136] 100.0% ------------------------------------------------------------------------- ??? [9] 100.0% [28] 752(1.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:411:33 for-loop [35] 65.7% hash-ref! [169] 34.3% ------------------------------------------------------------------------- taylor-sqrt [14] 49.6% taylor-invert [16] 50.4% [29] 492(0.7%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:266:0 hash-ref! [169] 100.0% ------------------------------------------------------------------------- ??? [4] 100.0% [30] 298(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:294:19 hash-ref! [169] 100.0% ------------------------------------------------------------------------- for-loop [18] 100.0% [31] 41680(59.8%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:317:0 simplify! [37] 64.3% gen-series! [39] 16.0% finalize-iter! [40] 15.7% gen-rewrites! [42] 3.3% choose-best-alt! [46] 0.7% ------------------------------------------------------------------------- prepare-points-intervals [19] 100.0% [32] 25992(37.3%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:145:4 loop [38] 90.3% ??? [41] 9.7% ------------------------------------------------------------------------- apply-transformer52 [21] 100.0% [33] 2368(3.4%) 854(1.2%) apply-transformer-in-context (unknown source) ??? [43] 40.3% datum->syntax6 [44] 23.6% ------------------------------------------------------------------------- approximate9 [3] 2.7% map [172] 8.3% for-loop [25] 31.8% taylor [34] 57.2% [34] 1482(2.1%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:170:0 taylor [34] 57.2% taylor-exp [47] 16.6% loop [45] 9.6% map [172] 8.3% taylor-sqrt [14] 6.2% taylor-invert [16] 2.1% ------------------------------------------------------------------------- for-loop [28] 49.9% ??? [9] 50.1% [35] 990(1.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:413:39 hash-ref! [169] 100.0% ------------------------------------------------------------------------- apply-transformer52 [21] 100.0% [36] 246(0.4%) 0(0.0%) apply-post-expansion (unknown source) gf [199] 100.0% ------------------------------------------------------------------------- run-iter! [31] 100.0% [37] 26818(38.5%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:213:0 ??? [48] 98.1% for-loop [53] 0.9% for-loop [54] 0.9% ------------------------------------------------------------------------- loop [32] 100.0% [38] 23468(33.7%) 598(0.9%) loop ...htlies/herbie/develop/src/points.rkt:104:2 ??? [92] 91.9% ??? [103] 5.5% ------------------------------------------------------------------------- run-iter! [31] 100.0% [39] 6648(9.5%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:149:0 for-loop [50] 100.0% ------------------------------------------------------------------------- run-iter! [31] 100.0% [40] 6560(9.4%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:268:0 ??? [49] 100.0% ------------------------------------------------------------------------- loop [32] 100.0% [41] 2524(3.6%) 1256(1.8%) ??? ...ghtlies/herbie/develop/src/points.rkt:129:2 ??? [103] 50.2% ------------------------------------------------------------------------- run-iter! [31] 100.0% [42] 1362(2.0%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:172:0 for-loop [51] 100.0% ------------------------------------------------------------------------- apply-transformer-in-context [33] 100.0% [43] 954(1.4%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [52] 100.0% ------------------------------------------------------------------------- apply-transformer-in-context [33] 100.0% [44] 560(0.8%) 0(0.0%) datum->syntax6 (unknown source) loop [197] 100.0% ------------------------------------------------------------------------- taylor [34] 100.0% [45] 490(0.7%) 0(0.0%) loop ...s/herbie/develop/src/core/taylor.rkt:268:2 hash-ref! [169] 100.0% ------------------------------------------------------------------------- run-iter! [31] 100.0% [46] 292(0.4%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:107:0 ??? [49] 100.0% ------------------------------------------------------------------------- taylor [34] 100.0% [47] 246(0.4%) 0(0.0%) taylor-exp ...ie/develop/src/core/taylor.rkt:401:0 simplify [116] 100.0% ------------------------------------------------------------------------- simplify! [37] 100.0% [48] 26320(37.7%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:26:0 one-iter [64] 51.2% for-loop [55] 36.0% loop [58] 12.7% ------------------------------------------------------------------------- choose-best-alt! [46] 3.5% match-e [99] 8.8% variable? [12] 9.7% finalize-iter! [40] 78.0% [49] 8414(12.1%) 1562(2.2%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [57] 78.0% ??? [61] 3.5% ------------------------------------------------------------------------- gen-series! [39] 100.0% [50] 6648(9.5%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:156:7 taylor-alt [56] 100.0% ------------------------------------------------------------------------- gen-rewrites! [42] 100.0% [51] 1362(2.0%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:180:11 rewrite-expression-head20 [59] 100.0% ------------------------------------------------------------------------- ??? [43] 100.0% [52] 954(1.4%) 610(0.9%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [60] 36.1% ------------------------------------------------------------------------- simplify! [37] 100.0% [53] 252(0.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:218:6 debug-print [62] 100.0% ------------------------------------------------------------------------- simplify! [37] 100.0% [54] 246(0.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:252:6 for-loop [63] 100.0% ------------------------------------------------------------------------- ??? [48] 100.0% [55] 9480(13.6%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:33:2 one-iter [64] 100.0% ------------------------------------------------------------------------- for-loop [50] 100.0% [56] 6648(9.5%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:135:0 for-loop [65] 100.0% ------------------------------------------------------------------------- ??? [49] 100.0% [57] 6560(9.4%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:56:2 atab-add-altn [66] 100.0% ------------------------------------------------------------------------- ??? [48] 100.0% [58] 3352(4.8%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:143:2 for-loop [67] 100.0% ------------------------------------------------------------------------- for-loop [51] 100.0% [59] 1362(2.0%) 0(0.0%) rewrite-expression-head20 ...ore/matcher.rkt:126:0 rewriter [68] 100.0% ------------------------------------------------------------------------- ??? [52] 100.0% [60] 344(0.5%) 0(0.0%) syntax->list (unknown source) loop [197] 100.0% ------------------------------------------------------------------------- ??? [49] 100.0% [61] 292(0.4%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:59:0 ??? [103] 100.0% ------------------------------------------------------------------------- for-loop [53] 100.0% [62] 252(0.4%) 0(0.0%) debug-print .../herbie/develop/src/debug.rkt:110:0 for-loop [69] 100.0% ------------------------------------------------------------------------- for-loop [54] 100.0% [63] 246(0.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:253:8 expression-cost [87] 100.0% ------------------------------------------------------------------------- for-loop [55] 41.3% ??? [48] 58.7% [64] 22968(32.9%) 0(0.0%) one-iter ...bie/develop/src/core/simplify.rkt:86:0 find-matches [70] 51.9% for-loop [71] 34.8% for-loop [73] 13.4% ------------------------------------------------------------------------- taylor-alt [56] 100.0% [65] 6648(9.5%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:141:6 ??? [103] 100.0% ------------------------------------------------------------------------- for-loop [57] 100.0% [66] 6560(9.4%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:202:0 errors [72] 87.5% best-and-tied-at-points [77] 8.8% append-at-pnts [81] 3.8% ------------------------------------------------------------------------- loop [58] 100.0% [67] 3352(4.8%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:149:4 loop [74] 39.7% argmin [76] 27.4% for-loop [86] 9.1% make-sequence [79] 8.9% expression-cost [87] 7.4% for-loop [80] 7.4% ------------------------------------------------------------------------- rewrite-expression-head20 [59] 42.2% matcher [88] 57.8% [68] 1362(2.0%) 246(0.4%) rewriter ...bie/develop/src/core/matcher.rkt:128:2 for-loop [75] 73.3% *rules* [78] 8.6% ------------------------------------------------------------------------- debug-print [62] 100.0% [69] 252(0.4%) 252(0.4%) for-loop ...ies/herbie/develop/src/debug.rkt:116:2 ------------------------------------------------------------------------- one-iter [64] 100.0% [70] 11912(17.1%) 0(0.0%) find-matches ...develop/src/core/simplify.rkt:56:0 for-loop [82] 100.0% ------------------------------------------------------------------------- one-iter [64] 100.0% [71] 7982(11.4%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:95:2 loop [83] 85.1% update-leader! [113] 14.9% ------------------------------------------------------------------------- ??? [166] 4.6% ??? [97] 4.9% atab-add-altn [66] 90.5% [72] 6344(9.1%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:228:0 for-loop [84] 60.8% eval-prog [168] 39.2% ------------------------------------------------------------------------- one-iter [64] 100.0% [73] 3074(4.4%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:111:2 set-precompute! [85] 100.0% ------------------------------------------------------------------------- for-loop [67] 100.0% [74] 1332(1.9%) 330(0.5%) loop .../racket-7.0/collects/racket/list.rkt:751:4 expression-cost [87] 38.3% for-loop [86] 36.9% ------------------------------------------------------------------------- rewriter [68] 100.0% [75] 1116(1.6%) 594(0.9%) for-loop ...ie/develop/src/core/matcher.rkt:131:10 matcher [88] 81.1% ------------------------------------------------------------------------- for-loop [67] 100.0% [76] 920(1.3%) 0(0.0%) argmin ...acket-7.0/collects/racket/list.rkt:765:0 for-loop [86] 68.7% expression-cost [87] 31.3% ------------------------------------------------------------------------- atab-add-altn [66] 100.0% [77] 574(0.8%) 274(0.4%) best-and-tied-at-points ...ore/alt-table.rkt:117:0 for-loop [90] 52.3% ------------------------------------------------------------------------- rewriter [68] 100.0% [78] 522(0.7%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:783:0 for-loop [89] 100.0% ------------------------------------------------------------------------- for-loop [67] 100.0% [79] 298(0.4%) 298(0.4%) make-sequence ...ects/racket/private/for.rkt:528:2 ------------------------------------------------------------------------- for-loop [67] 100.0% [80] 248(0.4%) 248(0.4%) for-loop ...e/develop/src/core/simplify.rkt:153:16 ------------------------------------------------------------------------- atab-add-altn [66] 100.0% [81] 246(0.4%) 0(0.0%) append-at-pnts ...lop/src/core/alt-table.rkt:146:0 loop [91] 100.0% ------------------------------------------------------------------------- for-loop [82] 48.9% find-matches [70] 51.1% [82] 11912(17.1%) 2618(3.8%) for-loop ...bie/develop/src/core/simplify.rkt:58:8 for-loop [82] 48.9% match-e [99] 39.0% ------------------------------------------------------------------------- for-loop [71] 100.0% [83] 6790(9.7%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:100:4 apply-match [93] 100.0% ------------------------------------------------------------------------- errors [72] 100.0% [84] 3854(5.5%) 494(0.7%) for-loop ...es/herbie/develop/src/points.rkt:230:2 ??? [92] 66.3% ??? [103] 20.9% ------------------------------------------------------------------------- for-loop [73] 100.0% [85] 3074(4.4%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:117:0 for-loop [94] 100.0% ------------------------------------------------------------------------- for-loop [67] 21.4% loop [74] 34.4% argmin [76] 44.2% [86] 1430(2.1%) 0(0.0%) for-loop .../herbie/develop/src/programs.rkt:205:2 table-ref [186] 100.0% ------------------------------------------------------------------------- for-loop [63] 19.0% for-loop [67] 19.2% argmin [76] 22.3% loop [74] 39.5% [87] 1292(1.9%) 0(0.0%) expression-cost .../develop/src/programs.rkt:204:0 compile [95] 100.0% ------------------------------------------------------------------------- for-loop [26] 50.0% for-loop [75] 50.0% [88] 1116(1.6%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:163:2 ??? [10] 50.0% rewriter [68] 50.0% ------------------------------------------------------------------------- *rules* [78] 100.0% [89] 522(0.7%) 0(0.0%) for-loop ...ies/herbie/develop/src/common.rkt:71:9 ormap [96] 100.0% ------------------------------------------------------------------------- best-and-tied-at-points [77] 100.0% [90] 300(0.4%) 300(0.4%) for-loop .../develop/src/core/alt-table.rkt:119:16 ------------------------------------------------------------------------- append-at-pnts [81] 100.0% [91] 246(0.4%) 246(0.4%) loop ...erbie/develop/src/core/alt-table.rkt:101:2 ------------------------------------------------------------------------- loop [188] 1.0% ??? [182] 1.2% for-loop [127] 2.3% for-loop [84] 10.1% loop [38] 85.4% [92] 25268(36.2%) 256(0.4%) ??? ...tlies/herbie/develop/src/programs.rkt:146:2 ??? [98] 86.6% ??? [103] 12.3% ------------------------------------------------------------------------- loop [83] 100.0% [93] 6790(9.7%) 0(0.0%) apply-match .../develop/src/core/simplify.rkt:65:0 for-loop [100] 88.2% match-e [99] 11.8% ------------------------------------------------------------------------- set-precompute! [85] 100.0% [94] 3074(4.4%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:119:2 merge-egraph-nodes! [105] 79.2% ??? [97] 20.8% ------------------------------------------------------------------------- expression-cost [87] 100.0% [95] 1292(1.9%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:181:0 hash-ref! [169] 100.0% ------------------------------------------------------------------------- for-loop [89] 100.0% [96] 522(0.7%) 0(0.0%) ormap ....0/collects/racket/private/map.rkt:141:13 flag-set? [101] 51.0% curried [126] 49.0% ------------------------------------------------------------------------- for-loop [94] 0.3% run [17] 49.8% [97] 69730(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.8% run-improve40 [2] 30.2% prepare-points-intervals [19] 18.2% oracle-error [108] 0.4% eval-errors [109] 0.4% eval-const-expr [154] 0.3% for-loop [110] 0.2% errors [72] 0.2% get-final-combination [111] 0.2% ------------------------------------------------------------------------- ??? [92] 100.0% [98] 21892(31.4%) 1096(1.6%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [102] 86.1% ??? [106] 4.5% ??? [103] 4.4% ------------------------------------------------------------------------- apply-match [93] 4.0% for-loop [115] 34.0% for-loop [82] 62.0% [99] 10094(14.5%) 1950(2.8%) match-e ...herbie/develop/src/core/ematch.rkt:39:0 for-loop [104] 78.1% ??? [49] 2.9% variable? [12] 2.7% ------------------------------------------------------------------------- apply-match [93] 100.0% [100] 5990(8.6%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:78:2 merge-egraph-nodes! [105] 77.2% substitute-e [107] 14.3% dedup-children! [129] 4.4% mk-enode! [141] 4.1% ------------------------------------------------------------------------- ormap [96] 100.0% [101] 266(0.4%) 266(0.4%) flag-set? ...es/herbie/develop/src/config.rkt:28:0 ------------------------------------------------------------------------- fold-binary-pred [156] 6.5% ??? [98] 93.5% [102] 19136(27.4%) 2486(3.6%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ival-div [112] 53.3% ival-sqrt [117] 22.2% ival-sub [119] 6.8% ival-log [121] 6.4% ival-add [125] 3.2% ------------------------------------------------------------------------- ??? [61] 2.0% for-loop [84] 5.6% ??? [98] 6.7% ??? [41] 8.8% loop [38] 9.0% loop [20] 10.3% location-do [114] 17.9% for-loop [65] 17.9% ??? [92] 21.7% [103] 14386(20.6%) 576(0.8%) ??? ...tract/private/arrow-higher-order.rkt:357:33 ->flonum [118] 24.0% location-do [114] 17.9% approximate9 [3] 15.5% hash-ref! [169] 10.3% sample-multi-bounded [120] 8.8% mk-ival [122] 8.2% ival-mult [123] 6.7% simplify [116] 2.5% best-alt [133] 2.0% ------------------------------------------------------------------------- match-e [99] 100.0% [104] 8658(12.4%) 4240(6.1%) for-loop ...rbie/develop/src/core/ematch.rkt:52:11 for-loop [115] 54.3% loop [140] 6.4% curried [126] 2.1% foldl [162] 1.4% filter [158] 1.4% ------------------------------------------------------------------------- merge-egraph-nodes! [105] 2.0% for-loop [94] 34.5% for-loop [100] 63.5% [105] 7058(10.1%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:145:0 update-leader! [113] 77.7% enode-merge! [128] 8.3% loop! [130] 7.7% dedup-children! [129] 4.3% merge-egraph-nodes! [105] 2.0% ------------------------------------------------------------------------- ??? [98] 100.0% [106] 992(1.4%) 746(1.1%) ??? ...herbie/develop/src/syntax/syntax.rkt:317:17 return/no-unsupplied [138] 24.8% ------------------------------------------------------------------------- for-loop [100] 100.0% [107] 856(1.2%) 0(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:64:0 for-loop [124] 100.0% ------------------------------------------------------------------------- ??? [97] 100.0% [108] 598(0.9%) 298(0.4%) oracle-error ...erbie/develop/src/points.rkt:212:0 for-loop [132] 50.2% ------------------------------------------------------------------------- ??? [97] 100.0% [109] 590(0.8%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:203:0 for-loop [127] 100.0% ------------------------------------------------------------------------- ??? [97] 100.0% [110] 312(0.4%) 0(0.0%) for-loop ...es/herbie/develop/src/sandbox.rkt:70:8 errors-score [131] 100.0% ------------------------------------------------------------------------- ??? [97] 100.0% [111] 246(0.4%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:357:0 infer-splitpoints [134] 100.0% ------------------------------------------------------------------------- ??? [102] 100.0% [112] 10982(15.7%) 3126(4.5%) ival-div ...rbie/develop/src/biginterval.rkt:141:0 ??? [153] 34.7% classify-ival [137] 34.1% force [161] 2.7% ------------------------------------------------------------------------- for-loop [71] 17.5% merge-egraph-nodes! [105] 82.5% [113] 6822(9.8%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:213:0 for-loop [135] 95.6% for-loop [147] 4.4% ------------------------------------------------------------------------- ??? [103] 49.0% location-do [114] 51.0% [114] 6648(9.5%) 0(0.0%) location-do ...rbie/develop/src/programs.rkt:111:0 location-do [114] 51.0% ??? [103] 49.0% ------------------------------------------------------------------------- for-loop [104] 100.0% [115] 6498(9.3%) 324(0.5%) for-loop ...rbie/develop/src/core/ematch.rkt:58:37 match-e [99] 92.4% ??? [143] 2.6% ------------------------------------------------------------------------- taylor-exp [47] 4.0% ??? [103] 11.5% hash-ref! [169] 84.5% [116] 6136(8.8%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 parse-loop80 [136] 75.0% f67 [157] 25.0% ------------------------------------------------------------------------- ??? [102] 100.0% [117] 4444(6.4%) 2232(3.2%) ival-sqrt ...bie/develop/src/biginterval.rkt:191:0 ??? [153] 34.6% fold-binary-pred [156] 8.4% ??? [146] 6.8% ------------------------------------------------------------------------- ??? [103] 100.0% [118] 3456(5.0%) 2218(3.2%) ->flonum ...s/herbie/develop/src/programs.rkt:38:0 return/no-unsupplied [138] 25.5% ??? [178] 10.4% ------------------------------------------------------------------------- ??? [102] 100.0% [119] 1304(1.9%) 0(0.0%) ival-sub ...erbie/develop/src/biginterval.rkt:93:0 ??? [153] 75.6% ...higher-order.rkt:361:33 [145] 24.4% ------------------------------------------------------------------------- ??? [103] 100.0% [120] 1268(1.8%) 952(1.4%) sample-multi-bounded ...evelop/src/points.rkt:16:0 return/no-unsupplied [138] 24.9% ------------------------------------------------------------------------- ??? [102] 100.0% [121] 1226(1.8%) 298(0.4%) ival-log ...rbie/develop/src/biginterval.rkt:179:0 ??? [153] 75.7% ------------------------------------------------------------------------- ??? [103] 100.0% [122] 1186(1.7%) 0(0.0%) mk-ival ...herbie/develop/src/biginterval.rkt:59:0 bf [139] 100.0% ------------------------------------------------------------------------- ??? [103] 100.0% [123] 960(1.4%) 324(0.5%) ival-mult ...bie/develop/src/biginterval.rkt:105:0 bf* [142] 35.8% classify-ival [137] 30.4% ------------------------------------------------------------------------- substitute-e [107] 100.0% [124] 856(1.2%) 300(0.4%) for-loop ...rbie/develop/src/core/ematch.rkt:73:24 mk-enode! [141] 65.0% ------------------------------------------------------------------------- ??? [102] 100.0% [125] 616(0.9%) 306(0.4%) ival-add ...erbie/develop/src/biginterval.rkt:87:0 ??? [153] 50.3% ------------------------------------------------------------------------- ormap [96] 41.7% for-loop [104] 58.3% [126] 614(0.9%) 614(0.9%) curried ...-7.0/collects/racket/function.rkt:71:18 ------------------------------------------------------------------------- eval-errors [109] 100.0% [127] 590(0.8%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:205:2 ??? [92] 100.0% ------------------------------------------------------------------------- merge-egraph-nodes! [105] 100.0% [128] 586(0.8%) 0(0.0%) enode-merge! ...e/develop/src/core/enode.rkt:128:0 adopt-enode! [144] 55.6% custom-set-intersect! [151] 44.4% ------------------------------------------------------------------------- for-loop [100] 47.0% merge-egraph-nodes! [105] 53.0% [129] 566(0.8%) 0(0.0%) dedup-children! ...evelop/src/core/enode.rkt:199:0 loop [148] 53.0% loop [150] 47.0% ------------------------------------------------------------------------- merge-egraph-nodes! [105] 100.0% [130] 542(0.8%) 250(0.4%) loop! ...s/herbie/develop/src/core/enode.rkt:191:2 custom-set-union [160] 53.9% ------------------------------------------------------------------------- for-loop [110] 100.0% [131] 312(0.4%) 0(0.0%) errors-score ...erbie/develop/src/points.rkt:220:0 loop [140] 100.0% ------------------------------------------------------------------------- oracle-error [108] 100.0% [132] 300(0.4%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:213:2 map [172] 100.0% ------------------------------------------------------------------------- ??? [103] 100.0% [133] 292(0.4%) 0(0.0%) best-alt .../herbie/develop/src/mainloop.rkt:102:0 argmins [149] 100.0% ------------------------------------------------------------------------- get-final-combination [111] 100.0% [134] 246(0.4%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:34:0 for-loop [152] 100.0% ------------------------------------------------------------------------- update-leader! [113] 100.0% [135] 6522(9.4%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:218:6 hash-update! [170] 52.1% for-loop [155] 47.9% ------------------------------------------------------------------------- for-loop [27] 10.7% map [172] 10.8% parse-loop80 [136] 17.1% simplify [116] 61.4% [136] 5802(8.3%) 0(0.0%) parse-loop80 ...s/racket/match/compiler.rkt:418:15 eval-const-expr [154] 69.3% parse-loop80 [136] 17.1% for-loop [159] 10.7% f67 [157] 2.8% ------------------------------------------------------------------------- ival-mult [123] 7.2% ival-div [112] 92.8% [137] 4034(5.8%) 1570(2.3%) classify-ival ...develop/src/biginterval.rkt:310:0 fold-binary-pred [156] 45.6% force [161] 7.8% ...higher-order.rkt:357:33 [165] 7.7% ------------------------------------------------------------------------- ??? [106] 17.1% sample-multi-bounded [120] 21.9% ->flonum [118] 61.0% [138] 1442(2.1%) 492(0.7%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [158] 65.9% ------------------------------------------------------------------------- mk-ival [122] 100.0% [139] 1186(1.7%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [179] 76.6% ??? [178] 23.4% ------------------------------------------------------------------------- errors-score [131] 0.0% for-loop [104] 2.5% loop [140] 97.5% [140] 864(1.2%) 562(0.8%) loop ...-7.0/collects/racket/private/map.rkt:40:19 loop [140] 97.5% foldl [162] 1.7% ------------------------------------------------------------------------- for-loop [100] 30.7% for-loop [124] 69.3% [141] 802(1.2%) 802(1.2%) mk-enode! ...rbie/develop/src/core/egraph.rkt:99:0 ------------------------------------------------------------------------- ival-mult [123] 100.0% [142] 344(0.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [153] 100.0% ------------------------------------------------------------------------- for-loop [115] 100.0% [143] 336(0.5%) 0(0.0%) ??? ...ies/herbie/develop/src/core/ematch.rkt:43:5 for-loop [163] 100.0% ------------------------------------------------------------------------- enode-merge! [128] 100.0% [144] 326(0.5%) 0(0.0%) adopt-enode! ...e/develop/src/core/enode.rkt:104:0 custom-set-union [160] 100.0% ------------------------------------------------------------------------- ival-sub [119] 100.0% [145] 318(0.5%) 0(0.0%) ...higher-order.rkt:361:33 (unknown source) ??? [164] 100.0% ------------------------------------------------------------------------- ival-sqrt [117] 100.0% [146] 300(0.4%) 300(0.4%) ??? ...ects/racket/contract/private/guts.rkt:746:8 ------------------------------------------------------------------------- update-leader! [113] 100.0% [147] 300(0.4%) 300(0.4%) for-loop ...rbie/develop/src/core/egraph.rkt:228:6 ------------------------------------------------------------------------- dedup-children! [129] 12.5% loop [148] 87.5% [148] 300(0.4%) 0(0.0%) loop ...racket-7.0/collects/racket/list.rkt:417:34 loop [148] 87.5% loop [197] 12.5% ------------------------------------------------------------------------- best-alt [133] 100.0% [149] 292(0.4%) 0(0.0%) argmins ...lies/herbie/develop/src/common.rkt:93:0 ??? [166] 100.0% ------------------------------------------------------------------------- dedup-children! [129] 6.2% loop [150] 93.8% [150] 266(0.4%) 266(0.4%) loop ...racket-7.0/collects/racket/list.rkt:434:17 loop [150] 93.8% ------------------------------------------------------------------------- enode-merge! [128] 100.0% [151] 260(0.4%) 260(0.4%) custom-set-intersect! ...ivate/set-types.rkt:269:0 ------------------------------------------------------------------------- infer-splitpoints [134] 100.0% [152] 246(0.4%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:46:6 option-on-expr [167] 100.0% ------------------------------------------------------------------------- ival-add [125] 3.9% bf* [142] 4.3% ival-log [121] 11.7% ival-sub [119] 12.5% ival-sqrt [117] 19.4% ival-div [112] 48.1% [153] 7918(11.4%) 1280(1.8%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfdiv [171] 56.5% bfsqrt [173] 27.4% ------------------------------------------------------------------------- ??? [97] 9.4% f67 [157] 12.3% parse-loop80 [136] 78.3% [154] 6774(9.7%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:149:0 eval-prog [168] 100.0% ------------------------------------------------------------------------- for-loop [135] 100.0% [155] 3126(4.5%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:219:8 hash-update! [170] 100.0% ------------------------------------------------------------------------- ival-sqrt [117] 16.9% classify-ival [137] 83.1% [156] 2214(3.2%) 0(0.0%) fold-binary-pred ...gfloat/bigfloat-mpfr.rkt:117:0 ??? [102] 100.0% ------------------------------------------------------------------------- map [172] 17.4% parse-loop80 [136] 24.4% simplify [116] 58.2% [157] 2030(2.9%) 0(0.0%) f67 ...0/collects/racket/match/compiler.rkt:507:40 map [172] 59.1% eval-const-expr [154] 40.9% ------------------------------------------------------------------------- for-loop [104] 20.7% return/no-unsupplied [138] 79.3% [158] 1198(1.7%) 1198(1.7%) filter ...0/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------- parse-loop80 [136] 100.0% [159] 1074(1.5%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:517:59 hash-ref! [169] 100.0% ------------------------------------------------------------------------- loop! [130] 47.2% adopt-enode! [144] 52.8% [160] 618(0.9%) 618(0.9%) custom-set-union ...et/private/set-types.rkt:168:0 ------------------------------------------------------------------------- ival-div [112] 49.0% classify-ival [137] 51.0% [161] 616(0.9%) 616(0.9%) force ...collects/racket/private/promise.rkt:109:0 ------------------------------------------------------------------------- for-loop [104] 45.1% loop [140] 54.9% [162] 550(0.8%) 248(0.4%) foldl ....0/collects/racket/private/list.rkt:229:4 merge2 [174] 54.9% ------------------------------------------------------------------------- ??? [143] 100.0% [163] 336(0.5%) 336(0.5%) for-loop ...erbie/develop/src/core/ematch.rkt:44:7 ------------------------------------------------------------------------- ...higher-order.rkt:361:33 [145] 100.0% [164] 318(0.5%) 318(0.5%) ??? ...cts/racket/contract/private/list.rkt:209:10 ------------------------------------------------------------------------- classify-ival [137] 100.0% [165] 310(0.4%) 310(0.4%) ...higher-order.rkt:357:33 (unknown source) ------------------------------------------------------------------------- argmins [149] 100.0% [166] 292(0.4%) 0(0.0%) ??? ...lies/herbie/develop/src/mainloop.rkt:104:19 errors [72] 100.0% ------------------------------------------------------------------------- for-loop [152] 100.0% [167] 246(0.4%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:150:0 sort-context-on-expr [175] 100.0% ------------------------------------------------------------------------- errors [72] 26.9% eval-const-expr [154] 73.1% [168] 9264(13.3%) 0(0.0%) eval-prog ...herbie/develop/src/programs.rkt:130:0 temp68_2 [176] 86.7% loop [197] 7.9% inductor [181] 5.3% ------------------------------------------------------------------------- for-loop [28] 1.2% ??? [30] 1.4% for-loop [35] 2.4% for-loop [159] 2.5% loop [45] 3.5% taylor-sqrt [14] 3.6% first-nonzero-exp [29] 7.0% for-loop [23] 7.1% for-loop [24] 7.4% ??? [180] 8.1% compile [95] 10.4% ??? [4] 17.7% ??? [103] 27.5% [169] 6988(10.0%) 1292(1.9%) hash-ref! .../racket/private/more-scheme.rkt:376:2 simplify [116] 36.8% ??? [4] 19.2% ??? [7] 11.1% ??? [8] 8.3% ??? [180] 8.1% ??? [9] 3.7% ??? [11] 2.5% ------------------------------------------------------------------------- for-loop [155] 47.9% for-loop [135] 52.1% [170] 6522(9.4%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [177] 100.0% ------------------------------------------------------------------------- ??? [153] 100.0% [171] 4472(6.4%) 0(0.0%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:821:4 ??? [178] 58.1% new-mpfr [179] 41.9% ------------------------------------------------------------------------- for-loop [132] 13.4% taylor [34] 33.2% f67 [157] 53.4% [172] 2246(3.2%) 0(0.0%) map ...t-7.0/collects/racket/private/map.rkt:35:13 parse-loop80 [136] 37.7% taylor [34] 33.2% f67 [157] 15.7% ??? [182] 13.4% ------------------------------------------------------------------------- ??? [153] 100.0% [173] 2166(3.1%) 0(0.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:618:4 new-mpfr [179] 56.0% ??? [178] 44.0% ------------------------------------------------------------------------- foldl [162] 100.0% [174] 302(0.4%) 302(0.4%) merge2 .../herbie/develop/src/core/ematch.rkt:24:0 ------------------------------------------------------------------------- option-on-expr [167] 100.0% [175] 246(0.4%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:145:0 ??? [183] 100.0% ------------------------------------------------------------------------- eval-prog [168] 100.0% [176] 8036(11.5%) 0(0.0%) temp68_2 (unknown source) compile16 [184] 100.0% ------------------------------------------------------------------------- hash-update! [170] 100.0% [177] 6522(9.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:221:24 for-loop [185] 100.0% ------------------------------------------------------------------------- bf [139] 6.6% ->flonum [118] 8.5% bfsqrt [173] 22.7% bfdiv [171] 62.1% [178] 4188(6.0%) 4188(6.0%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 ------------------------------------------------------------------------- bf [139] 22.7% bfsqrt [173] 30.4% bfdiv [171] 46.9% [179] 3994(5.7%) 3994(5.7%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ------------------------------------------------------------------------- hash-ref! [169] 100.0% [180] 1046(1.5%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:189:5 hash-ref! [169] 100.0% ------------------------------------------------------------------------- eval-prog [168] 33.3% inductor [181] 66.7% [181] 492(0.7%) 0(0.0%) inductor .../herbie/develop/src/programs.rkt:135:4 inductor [181] 66.7% table-ref [186] 25.0% ??? [187] 8.3% ------------------------------------------------------------------------- map [172] 100.0% [182] 300(0.4%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:214:26 ??? [92] 100.0% ------------------------------------------------------------------------- sort-context-on-expr [175] 100.0% [183] 246(0.4%) 0(0.0%) ??? ...-7.0/collects/racket/private/sort.rkt:369:3 loop [188] 100.0% ------------------------------------------------------------------------- temp68_2 [176] 100.0% [184] 8036(11.5%) 0(0.0%) compile16 (unknown source) temp74_0 [189] 100.0% ------------------------------------------------------------------------- ??? [177] 100.0% [185] 6522(9.4%) 5892(8.4%) for-loop ...bie/develop/src/core/egraph.rkt:222:26 update-en-expr [191] 9.7% ------------------------------------------------------------------------- inductor [181] 14.7% for-loop [86] 85.3% [186] 1676(2.4%) 884(1.3%) table-ref ...es/herbie/develop/src/common.rkt:42:0 for-loop [190] 47.3% ------------------------------------------------------------------------- inductor [181] 100.0% [187] 246(0.4%) 246(0.4%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ------------------------------------------------------------------------- ??? [183] 100.0% [188] 246(0.4%) 0(0.0%) loop ...7.0/collects/racket/private/sort.rkt:96:12 ??? [92] 100.0% ------------------------------------------------------------------------- compile16 [184] 100.0% [189] 8036(11.5%) 0(0.0%) temp74_0 (unknown source) expand-single [192] 96.3% compile-top9 [193] 3.7% ------------------------------------------------------------------------- table-ref [186] 100.0% [190] 792(1.1%) 792(1.1%) for-loop ...ies/herbie/develop/src/common.rkt:44:4 ------------------------------------------------------------------------- for-loop [185] 100.0% [191] 630(0.9%) 630(0.9%) update-en-expr ...evelop/src/core/egraph.rkt:207:0 ------------------------------------------------------------------------- temp74_0 [189] 100.0% [192] 7742(11.1%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [194] 100.0% ------------------------------------------------------------------------- temp74_0 [189] 100.0% [193] 294(0.4%) 0(0.0%) compile-top9 (unknown source) compile-forms31 [195] 100.0% ------------------------------------------------------------------------- loop [197] 8.7% expand-single [192] 91.3% [194] 8478(12.2%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [196] 84.1% dispatch-transformer41 [5] 8.7% loop [197] 4.3% expand-id-application-form17 [200] 2.9% ------------------------------------------------------------------------- compile-top9 [193] 100.0% [195] 294(0.4%) 0(0.0%) compile-forms31 (unknown source) for-loop [206] 100.0% ------------------------------------------------------------------------- expand-capturing-lifts [194] 100.0% [196] 7128(10.2%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [198] 71.5% loop [197] 28.5% ------------------------------------------------------------------------- gf [199] 1.4% datum->syntax6 [44] 1.5% syntax->list [60] 1.9% loop [148] 5.0% for-loop [206] 5.6% expand-capturing-lifts [194] 6.1% eval-prog [168] 8.5% apply-transformer52 [21] 9.6% loop [197] 11.3% lambda-clause-expander [196] 16.9% syntax-e/no-taint [22] 32.2% [197] 5972(8.6%) 1472(2.1%) loop (unknown source) gf [199] 33.2% dispatch-transformer41 [5] 16.9% loop [197] 11.3% expand-capturing-lifts [194] 8.5% core-form-sym [201] 7.2% expand-id-application-form17 [200] 5.6% syntax-e [6] 4.3% ------------------------------------------------------------------------- lambda-clause-expander [196] 23.3% for-loop [206] 76.7% [198] 5096(7.3%) 0(0.0%) finish-bodys (unknown source) for-loop [206] 100.0% ------------------------------------------------------------------------- apply-post-expansion [36] 2.2% loop [197] 97.8% [199] 2748(3.9%) 840(1.2%) gf (unknown source) propagation-apply [203] 51.5% loop [197] 9.0% propagation-apply-shifted [204] 9.0% ------------------------------------------------------------------------- expand-capturing-lifts [194] 42.4% loop [197] 57.6% [200] 580(0.8%) 0(0.0%) expand-id-application-form17 (unknown source) resolve+shift28 [202] 100.0% ------------------------------------------------------------------------- loop [197] 100.0% [201] 564(0.8%) 272(0.4%) core-form-sym (unknown source) resolve+shift28 [202] 51.8% ------------------------------------------------------------------------- core-form-sym [201] 19.0% expand-identifier [13] 21.6% expand-implicit [15] 21.7% expand-id-application-form17 [200] 37.7% [202] 1538(2.2%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [205] 100.0% ------------------------------------------------------------------------- gf [199] 100.0% [203] 1416(2.0%) 1416(2.0%) propagation-apply (unknown source) ------------------------------------------------------------------------- gf [199] 100.0% [204] 246(0.4%) 246(0.4%) propagation-apply-shifted (unknown source) ------------------------------------------------------------------------- resolve+shift28 [202] 100.0% [205] 1538(2.2%) 246(0.4%) fallback-loop (unknown source) for-loop [206] 84.0% ------------------------------------------------------------------------- fallback-loop [205] 3.3% compile-forms31 [195] 5.5% for-loop [206] 16.3% finish-bodys [198] 75.0% [206] 5390(7.7%) 2096(3.0%) for-loop (unknown source) finish-bodys [198] 60.5% for-loop [206] 16.3% syntax-e [6] 5.9% expand-implicit [15] 1.5% dispatch-transformer41 [5] 1.5% expand-identifier [13] 1.0% loop [197] 0.9% -------------------------------------------------------------------------