Profiling results ----------------- Total cpu time observed: 32748ms (out of 33136ms) Number of samples taken: 313 (once every 105ms) (Hiding functions with self<1.0% and local<2.0%: 9 of 204 hidden) ======================================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================================== ??? [64] 100.0% [1] 31420(95.9%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [16] 100.0% ---------------------------------------------------------------------------------------- ??? [64] 100.0% [2] 24866(75.9%) 0(0.0%) run-improve50 ...ock/herbie/src/mainloop.rkt:234:0 for-loop [17] 88.2% get-final-combination [20] 11.0% loop [72] 0.4% ---------------------------------------------------------------------------------------- loop [154] 0.8% ??? [64] 99.2% [3] 12926(39.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [19] 66.8% iterate-egraph!5 [31] 19.8% for-loop [22] 11.0% loop [34] 2.4% ---------------------------------------------------------------------------------------- ??? [180] 0.9% for-loop [161] 0.9% for-loop [136] 34.9% loop [154] 63.3% [4] 10352(31.6%) 204(0.6%) ??? /home/ztatlock/herbie/src/programs.rkt:152:4 ??? [18] 84.4% ??? [132] 8.8% ->flonum [21] 4.8% ---------------------------------------------------------------------------------------- hash-ref! [120] 100.0% [5] 1174(3.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:291:23 for-loop [23] 100.0% ---------------------------------------------------------------------------------------- hash-ref! [120] 100.0% [6] 622(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:388:23 for-loop [24] 100.0% ---------------------------------------------------------------------------------------- hash-ref! [120] 100.0% [7] 586(1.8%) 66(0.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:281:26 for-loop [26] 88.7% ---------------------------------------------------------------------------------------- hash-ref! [120] 100.0% [8] 586(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:334:33 for-loop [25] 100.0% ---------------------------------------------------------------------------------------- copying-mergesort [169] 100.0% [9] 500(1.5%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [180] 100.0% ---------------------------------------------------------------------------------------- f94 [131] 100.0% [10] 442(1.3%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:258:2 hash-ref! [120] 76.0% simplify [126] 24.0% ---------------------------------------------------------------------------------------- hash-ref! [120] 100.0% [11] 228(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:479:23 for-loop [27] 100.0% ---------------------------------------------------------------------------------------- f94 [131] 100.0% [12] 190(0.6%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:159:0 debug-print [133] 52.6% loop [154] 47.4% ---------------------------------------------------------------------------------------- ??? [102] 100.0% [13] 172(0.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 for-loop [29] 50.0% ??? [102] 50.0% ---------------------------------------------------------------------------------------- rewriter [80] 100.0% [14] 118(0.4%) 0(0.0%) *rules* ...tlock/herbie/src/syntax/rules.rkt:411:0 for-loop [28] 100.0% ---------------------------------------------------------------------------------------- loop [152] 100.0% [15] 114(0.3%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [21] 100.0% ---------------------------------------------------------------------------------------- profile-thunk16 [1] 99.4% [16] 31624(96.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [64] 100.0% ---------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [17] 21930(67.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:245:8 run-iter! [30] 100.0% ---------------------------------------------------------------------------------------- ??? [4] 100.0% [18] 8738(26.7%) 3614(11.0%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [32] 39.6% ??? [35] 8.5% ??? [37] 5.3% ...higher-order.rkt:346:33 [38] 2.7% ??? [185] 2.4% ---------------------------------------------------------------------------------------- simplify [3] 100.0% [19] 8630(26.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [31] 89.6% loop [34] 10.4% ---------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [20] 2724(8.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:260:0 split-table [33] 93.0% extract-alt [39] 7.0% ---------------------------------------------------------------------------------------- ??? [15] 5.8% ??? [4] 25.3% for-loop [136] 34.3% loop [154] 34.6% [21] 1980(6.0%) 0(0.0%) ->flonum .../ztatlock/herbie/src/programs.rkt:34:0 ??? [44] 100.0% ---------------------------------------------------------------------------------------- simplify [3] 100.0% [22] 1426(4.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [31] 100.0% ---------------------------------------------------------------------------------------- ??? [5] 100.0% [23] 1174(3.6%) 110(0.3%) for-loop ...lock/herbie/src/core/taylor.rkt:294:27 hash-ref! [120] 90.6% ---------------------------------------------------------------------------------------- ??? [6] 100.0% [24] 622(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:392:33 for-loop [36] 100.0% ---------------------------------------------------------------------------------------- ??? [8] 100.0% [25] 586(1.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:337:46 hash-ref! [120] 100.0% ---------------------------------------------------------------------------------------- ??? [7] 100.0% [26] 520(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:281:52 hash-ref! [120] 100.0% ---------------------------------------------------------------------------------------- ??? [11] 100.0% [27] 228(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:483:35 parse-loop12 [145] 100.0% ---------------------------------------------------------------------------------------- *rules* [14] 100.0% [28] 118(0.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/common.rkt:93:9 ormap [40] 100.0% ---------------------------------------------------------------------------------------- ??? [13] 100.0% [29] 86(0.3%) 0(0.0%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [102] 100.0% ---------------------------------------------------------------------------------------- for-loop [17] 100.0% [30] 21930(67.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:215:0 simplify! [41] 58.5% finalize-iter! [43] 27.6% gen-series! [45] 11.5% localize-error [50] 1.9% gen-rewrites! [52] 0.5% ---------------------------------------------------------------------------------------- for-loop [22] 12.2% simplify [3] 21.9% simplify-expr [19] 66.0% [31] 11722(35.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [42] 92.5% map-enodes [49] 4.6% debug7 [51] 2.1% debug-print [133] 0.8% ---------------------------------------------------------------------------------------- ??? [18] 100.0% [32] 3462(10.6%) 766(2.3%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfexp [46] 42.8% bfdiv [47] 35.1% ---------------------------------------------------------------------------------------- get-final-combination [20] 100.0% [33] 2534(7.7%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:164:0 f94 [131] 100.0% ---------------------------------------------------------------------------------------- simplify [3] 25.6% simplify-expr [19] 74.4% [34] 1204(3.7%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [48] 100.0% ---------------------------------------------------------------------------------------- ??? [18] 100.0% [35] 746(2.3%) 0(0.0%) ??? ...tatlock/herbie/src/syntax/syntax.rkt:118:17 ??? [44] 100.0% ---------------------------------------------------------------------------------------- for-loop [24] 100.0% [36] 622(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:394:39 hash-ref! [120] 85.9% simplify [126] 14.1% ---------------------------------------------------------------------------------------- ??? [18] 100.0% [37] 462(1.4%) 462(1.4%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 ---------------------------------------------------------------------------------------- ??? [18] 100.0% [38] 240(0.7%) 240(0.7%) ...higher-order.rkt:346:33 (unknown source) ---------------------------------------------------------------------------------------- get-final-combination [20] 100.0% [39] 190(0.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:56:0 loop [154] 51.6% argmins [53] 48.4% ---------------------------------------------------------------------------------------- for-loop [28] 100.0% [40] 118(0.4%) 0(0.0%) ormap ...et/collects/racket/private/map.rkt:105:13 ??? [44] 100.0% ---------------------------------------------------------------------------------------- run-iter! [30] 100.0% [41] 12828(39.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:155:0 for-loop [54] 100.0% ---------------------------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [42] 10846(33.1%) 470(1.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [55] 72.0% loop [57] 21.0% apply-match [66] 1.7% ---------------------------------------------------------------------------------------- run-iter! [30] 100.0% [43] 6050(18.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:169:0 ??? [94] 100.0% ---------------------------------------------------------------------------------------- ulp-difference [150] 3.3% ormap [40] 4.0% ??? [35] 25.4% ->flonum [21] 67.3% [44] 2942(9.0%) 1386(4.2%) ??? /home/ztatlock/herbie/src/config.rkt:48:0 ??? [59] 38.1% return/no-unsupplied [113] 11.4% list-member? [62] 3.3% ---------------------------------------------------------------------------------------- run-iter! [30] 100.0% [45] 2526(7.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:129:0 for-loop [56] 100.0% ---------------------------------------------------------------------------------------- ??? [32] 100.0% [46] 1482(4.5%) 846(2.6%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [146] 42.9% ---------------------------------------------------------------------------------------- ??? [32] 100.0% [47] 1214(3.7%) 772(2.4%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [146] 36.4% ---------------------------------------------------------------------------------------- loop [34] 100.0% [48] 1204(3.7%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [58] 100.0% ---------------------------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [49] 536(1.6%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [154] 86.2% for-loop [60] 13.8% ---------------------------------------------------------------------------------------- run-iter! [30] 100.0% [50] 408(1.2%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [120] 100.0% ---------------------------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [51] 244(0.7%) 244(0.7%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ---------------------------------------------------------------------------------------- run-iter! [30] 100.0% [52] 118(0.4%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:142:0 for-loop [61] 100.0% ---------------------------------------------------------------------------------------- extract-alt [39] 100.0% [53] 92(0.3%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:134:0 composed [63] 100.0% ---------------------------------------------------------------------------------------- simplify! [41] 100.0% [54] 12828(39.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:159:6 ??? [64] 100.0% ---------------------------------------------------------------------------------------- for-loop [55] 48.1% one-iter [42] 51.9% [55] 7806(23.8%) 2452(7.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [55] 48.1% match-e [73] 33.6% ---------------------------------------------------------------------------------------- gen-series! [45] 100.0% [56] 2526(7.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:135:7 taylor-alt [65] 100.0% ---------------------------------------------------------------------------------------- one-iter [42] 100.0% [57] 2282(7.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [66] 100.0% ---------------------------------------------------------------------------------------- pass [48] 100.0% [58] 1204(3.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [67] 92.5% loop [71] 7.5% ---------------------------------------------------------------------------------------- ??? [44] 100.0% [59] 1122(3.4%) 310(0.9%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [68] 55.1% ??? [147] 17.3% ---------------------------------------------------------------------------------------- map-enodes [49] 13.8% loop [154] 86.2% [60] 536(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [69] 100.0% ---------------------------------------------------------------------------------------- gen-rewrites! [52] 100.0% [61] 118(0.4%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:147:11 ??? [70] 100.0% ---------------------------------------------------------------------------------------- ??? [44] 100.0% [62] 98(0.3%) 98(0.3%) list-member? ...llects/racket/private/set.rkt:24:0 ---------------------------------------------------------------------------------------- argmins [53] 100.0% [63] 92(0.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [130] 100.0% ---------------------------------------------------------------------------------------- for-loop [54] 13.5% run [16] 42.9% [64] 32320(98.7%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 42.3% run-improve50 [2] 32.4% simplify [3] 13.5% loop [72] 11.8% ---------------------------------------------------------------------------------------- for-loop [56] 100.0% [65] 2526(7.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:141:0 for-loop [74] 100.0% ---------------------------------------------------------------------------------------- one-iter [42] 7.5% loop [57] 92.5% [66] 2466(7.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [73] 34.0% loop! [85] 15.7% mk-enode! [99] 12.5% substitute-e [86] 11.8% merge-egraph-nodes! [76] 11.6% for-loop [78] 8.9% reduce-to-single! [79] 5.4% ---------------------------------------------------------------------------------------- for-loop [58] 100.0% [67] 1114(3.4%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [75] 82.6% expression-cost [77] 17.4% ---------------------------------------------------------------------------------------- ??? [59] 100.0% [68] 618(1.9%) 618(1.9%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ---------------------------------------------------------------------------------------- for-loop [60] 100.0% [69] 536(1.6%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:164:0 f94 [131] 51.5% ??? [186] 32.8% parse-app [157] 15.7% ---------------------------------------------------------------------------------------- for-loop [61] 100.0% [70] 118(0.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:88:0 rewriter [80] 100.0% ---------------------------------------------------------------------------------------- for-loop [58] 100.0% [71] 90(0.3%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [77] 100.0% ---------------------------------------------------------------------------------------- run-improve50 [2] 1.3% ??? [64] 98.7% [72] 7550(23.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:159:2 make-exacts* [95] 57.0% loop [82] 39.0% filter-exacts [93] 1.4% loop [98] 1.3% ---------------------------------------------------------------------------------------- apply-match [66] 8.5% for-loop [97] 17.9% for-loop [55] 73.5% [73] 6088(18.6%) 2852(8.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [83] 26.7% ??? [94] 12.9% for-loop [97] 6.9% variable? [84] 5.2% curry* [90] 2.4% loop [154] 1.9% ---------------------------------------------------------------------------------------- taylor-alt [65] 100.0% [74] 2526(7.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:143:2 ??? [81] 100.0% ---------------------------------------------------------------------------------------- argmin [67] 100.0% [75] 920(2.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/programs.rkt:197:2 table-ref [155] 54.8% ...erbie/src/common.rkt:46:2 [87] 45.2% ---------------------------------------------------------------------------------------- apply-match [66] 100.0% [76] 286(0.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [88] 100.0% ---------------------------------------------------------------------------------------- loop [71] 31.7% argmin [67] 68.3% [77] 284(0.9%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:196:0 compile [89] 100.0% ---------------------------------------------------------------------------------------- apply-match [66] 100.0% [78] 220(0.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 substitute-e [86] 62.7% loop! [85] 37.3% ---------------------------------------------------------------------------------------- apply-match [66] 100.0% [79] 134(0.4%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [91] 100.0% ---------------------------------------------------------------------------------------- ??? [70] 25.0% matcher [104] 75.0% [80] 118(0.4%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:127:2 for-loop [92] 75.0% *rules* [14] 25.0% ---------------------------------------------------------------------------------------- f94 [131] 26.5% table-ref [155] 36.7% for-loop [74] 36.7% [81] 3438(10.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:342:33 table-ref [155] 43.3% approximate9 [96] 36.7% ??? [147] 13.9% ??? [106] 3.2% ??? [132] 2.9% ---------------------------------------------------------------------------------------- loop [72] 100.0% [82] 2946(9.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:119:2 loop [98] 65.4% make-exacts* [95] 34.6% ---------------------------------------------------------------------------------------- match-e [73] 100.0% [83] 2406(7.3%) 498(1.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [97] 65.9% list-cartesian-product [100] 10.3% loop [154] 3.2% ---------------------------------------------------------------------------------------- match-e [73] 100.0% [84] 726(2.2%) 0(0.0%) variable? ...ck/herbie/src/syntax/syntax.rkt:529:0 ??? [94] 100.0% ---------------------------------------------------------------------------------------- for-loop [78] 8.7% loop [154] 39.4% apply-match [66] 51.9% [85] 470(1.4%) 190(0.6%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [154] 60.6% custom-set-union [105] 12.1% set [109] 7.0% ---------------------------------------------------------------------------------------- for-loop [78] 32.1% apply-match [66] 67.9% [86] 430(1.3%) 96(0.3%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [99] 77.7% ---------------------------------------------------------------------------------------- for-loop [75] 100.0% [87] 416(1.3%) 84(0.3%) ...erbie/src/common.rkt:46:2 ...e/arr-i.rkt:906:19 ??? [102] 59.6% ??? [108] 20.2% ---------------------------------------------------------------------------------------- merge-egraph-nodes! [76] 100.0% [88] 286(0.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [101] 100.0% ---------------------------------------------------------------------------------------- expression-cost [77] 100.0% [89] 284(0.9%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:173:0 hash-ref! [120] 100.0% ---------------------------------------------------------------------------------------- match-e [73] 100.0% [90] 194(0.6%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [103] 100.0% ---------------------------------------------------------------------------------------- reduce-to-single! [79] 100.0% [91] 134(0.4%) 134(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ---------------------------------------------------------------------------------------- rewriter [80] 100.0% [92] 118(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:130:10 matcher [104] 100.0% ---------------------------------------------------------------------------------------- loop [72] 100.0% [93] 104(0.3%) 0(0.0%) filter-exacts ...tlock/herbie/src/points.rkt:134:0 for-loop [107] 100.0% ---------------------------------------------------------------------------------------- pattern-match [171] 1.3% f94 [131] 1.7% ??? [147] 3.9% variable? [84] 8.7% match-e [73] 12.9% finalize-iter! [43] 70.0% [94] 8298(25.3%) 706(2.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [110] 66.7% hash-has-key? [112] 17.4% atab-add-altns [115] 3.3% ??? [147] 2.7% ---------------------------------------------------------------------------------------- loop [82] 19.2% loop [72] 80.8% [95] 5324(16.3%) 0(0.0%) make-exacts* ...atlock/herbie/src/points.rkt:106:0 map [135] 51.4% loop [154] 46.6% eval-prog [184] 2.0% ---------------------------------------------------------------------------------------- ??? [81] 100.0% [96] 2526(7.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:12:0 loop [111] 71.7% f94 [131] 28.3% ---------------------------------------------------------------------------------------- match-e [73] 33.3% for-loop [83] 66.7% [97] 2118(6.5%) 262(0.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [73] 91.6% ---------------------------------------------------------------------------------------- loop [72] 4.7% loop [82] 95.3% [98] 2022(6.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:109:4 map [135] 100.0% ---------------------------------------------------------------------------------------- apply-match [66] 48.0% substitute-e [86] 52.0% [99] 642(2.0%) 428(1.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 mutable-set [118] 17.4% hash-has-key? [112] 15.9% ---------------------------------------------------------------------------------------- list-cartesian-product [100] 34.5% for-loop [83] 65.5% [100] 296(0.9%) 296(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [100] 34.5% ---------------------------------------------------------------------------------------- update-leader! [88] 100.0% [101] 286(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [114] 100.0% ---------------------------------------------------------------------------------------- ??? [13] 17.3% for-loop [29] 17.3% ...erbie/src/common.rkt:46:2 [87] 65.3% [102] 248(0.8%) 162(0.5%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [13] 34.7% ??? [147] 17.3% ---------------------------------------------------------------------------------------- curry* [90] 100.0% [103] 194(0.6%) 194(0.6%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ---------------------------------------------------------------------------------------- matcher [104] 16.7% for-loop [116] 33.3% for-loop [92] 50.0% [104] 118(0.4%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:163:2 rewriter [80] 50.0% for-loop [116] 33.3% matcher [104] 16.7% ---------------------------------------------------------------------------------------- loop! [85] 100.0% [105] 114(0.3%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [117] 100.0% ---------------------------------------------------------------------------------------- ??? [81] 100.0% [106] 110(0.3%) 110(0.3%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 ---------------------------------------------------------------------------------------- filter-exacts [93] 100.0% [107] 104(0.3%) 104(0.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:137:4 ---------------------------------------------------------------------------------------- ...erbie/src/common.rkt:46:2 [87] 100.0% [108] 84(0.3%) 0(0.0%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 return/no-unsupplied [113] 100.0% ---------------------------------------------------------------------------------------- loop! [85] 100.0% [109] 66(0.2%) 66(0.2%) set ...collects/racket/private/set-types.rkt:981:0 ---------------------------------------------------------------------------------------- ??? [94] 100.0% [110] 5774(17.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [119] 100.0% ---------------------------------------------------------------------------------------- approximate9 [96] 100.0% [111] 1810(5.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:83:4 hash-ref! [120] 100.0% ---------------------------------------------------------------------------------------- mk-enode! [99] 5.7% ??? [94] 94.3% [112] 1784(5.4%) 656(2.0%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [163] 58.1% ??? [124] 5.2% ---------------------------------------------------------------------------------------- ??? [108] 20.0% ??? [44] 80.0% [113] 420(1.3%) 308(0.9%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [123] 26.7% ---------------------------------------------------------------------------------------- for-loop [101] 100.0% [114] 286(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [121] 100.0% ---------------------------------------------------------------------------------------- ??? [94] 100.0% [115] 276(0.8%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [119] 100.0% ---------------------------------------------------------------------------------------- matcher [104] 100.0% [116] 118(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:179:21 matcher [104] 100.0% ---------------------------------------------------------------------------------------- custom-set-union [105] 100.0% [117] 114(0.3%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [122] 100.0% ---------------------------------------------------------------------------------------- mk-enode! [99] 100.0% [118] 112(0.3%) 112(0.3%) mutable-set .../racket/private/set-types.rkt:999:0 ---------------------------------------------------------------------------------------- atab-add-altns [115] 4.6% for-loop [110] 95.4% [119] 6050(18.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [125] 100.0% ---------------------------------------------------------------------------------------- for-loop [158] 1.3% for-loop [36] 3.5% for-loop [26] 3.9% for-loop [25] 4.6% ??? [165] 6.5% loop [10] 6.8% localize-error [50] 7.9% compile [89] 8.2% for-loop [23] 13.2% ??? [127] 21.2% loop [111] 21.2% [120] 2838(8.7%) 284(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [126] 24.4% ??? [127] 21.2% ??? [5] 15.2% parse-loop12 [145] 7.2% f94 [131] 5.3% ??? [8] 4.6% ??? [7] 4.6% ??? [6] 4.2% ??? [129] 1.9% ??? [11] 1.3% ---------------------------------------------------------------------------------------- for-loop [114] 100.0% [121] 286(0.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [128] 100.0% ---------------------------------------------------------------------------------------- for-loop [117] 100.0% [122] 114(0.3%) 114(0.3%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------------------------- return/no-unsupplied [113] 100.0% [123] 112(0.3%) 112(0.3%) filter ...t/collects/racket/private/list.rkt:256:2 ---------------------------------------------------------------------------------------- hash-has-key? [112] 100.0% [124] 92(0.3%) 92(0.3%) ??? ...ects/racket/contract/private/hash.rkt:245:7 ---------------------------------------------------------------------------------------- atab-add-altn [119] 100.0% [125] 6050(18.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [130] 98.3% ---------------------------------------------------------------------------------------- for-loop [36] 4.1% loop [154] 4.2% loop [10] 4.9% hash-ref! [120] 86.9% [126] 2166(6.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:15:0 f94 [131] 61.7% parse-loop12 [145] 34.2% debug-print [133] 4.2% ---------------------------------------------------------------------------------------- hash-ref! [120] 100.0% [127] 1810(5.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:43:15 hash-ref! [120] 100.0% ---------------------------------------------------------------------------------------- hash-update! [121] 100.0% [128] 286(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [134] 100.0% ---------------------------------------------------------------------------------------- hash-ref! [120] 100.0% [129] 110(0.3%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 ??? [132] 100.0% ---------------------------------------------------------------------------------------- composed [63] 1.5% option-on-expr [137] 1.6% best-and-tied-at-points [125] 95.0% [130] 6260(19.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:184:0 for-loop [136] 75.9% eval-prog [184] 24.1% ---------------------------------------------------------------------------------------- parse-loop12 [145] 2.5% approximate9 [96] 3.8% hash-ref! [120] 3.8% eval-const-expr [69] 4.7% loop [154] 4.9% eval-prog [184] 5.2% map [135] 8.4% simplify [126] 12.2% f94 [131] 14.3% split-table [33] 40.3% [131] 5894(18.0%) 406(1.2%) f94 ...t/collects/racket/match/compiler.rkt:507:40 option-on-expr [137] 36.6% map [135] 25.5% f94 [131] 14.3% ??? [81] 5.6% exprs-to-branch-on [139] 3.8% loop [10] 2.5% table-ref [155] 1.6% ??? [143] 1.4% ??? [94] 1.2% taylor [12] 0.8% loop [154] 0.5% ---------------------------------------------------------------------------------------- ??? [81] 8.8% ??? [129] 9.8% ??? [4] 81.4% [132] 1118(3.4%) 112(0.3%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [138] 71.4% integer->bigfloat [140] 18.6% ---------------------------------------------------------------------------------------- simplify [126] 31.5% iterate-egraph!5 [31] 33.6% taylor [12] 35.0% [133] 286(0.9%) 96(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [141] 66.4% ---------------------------------------------------------------------------------------- ??? [128] 100.0% [134] 286(0.9%) 188(0.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [142] 34.3% ---------------------------------------------------------------------------------------- parse-loop12 [145] 2.1% f94 [131] 26.0% loop [98] 30.6% make-exacts* [95] 41.4% [135] 6612(20.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 loop [154] 74.9% f94 [131] 12.4% parse-loop12 [145] 8.0% simplify* [148] 2.2% ??? [165] 0.9% loop [152] 0.9% make-multiplication-node [153] 0.8% ---------------------------------------------------------------------------------------- errors [130] 100.0% [136] 4754(14.5%) 274(0.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:187:4 ??? [4] 75.9% ->flonum [21] 14.3% ulp-difference [150] 4.0% ---------------------------------------------------------------------------------------- f94 [131] 100.0% [137] 2312(7.1%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:115:0 sort-context-on-expr [144] 87.5% pick-errors [151] 8.1% errors [130] 4.4% ---------------------------------------------------------------------------------------- ??? [132] 100.0% [138] 798(2.4%) 522(1.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [146] 34.6% ---------------------------------------------------------------------------------------- f94 [131] 100.0% [139] 222(0.7%) 0(0.0%) exprs-to-branch-on ...ie/src/core/regimes.rkt:44:0 critical-subexpression [149] 100.0% ---------------------------------------------------------------------------------------- ??? [132] 100.0% [140] 208(0.6%) 208(0.6%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ---------------------------------------------------------------------------------------- debug-print [133] 100.0% [141] 190(0.6%) 190(0.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------------------------- for-loop [134] 100.0% [142] 98(0.3%) 98(0.3%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------------------------- f94 [131] 100.0% [143] 84(0.3%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:336:46 ??? [147] 100.0% ---------------------------------------------------------------------------------------- option-on-expr [137] 100.0% [144] 2022(6.2%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:79:0 ??? [156] 100.0% ---------------------------------------------------------------------------------------- loop [154] 1.9% for-loop [27] 4.1% hash-ref! [120] 15.9% parse-loop12 [145] 17.4% simplify [126] 19.3% map [135] 41.4% [145] 1850(5.6%) 536(1.6%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 loop [154] 22.4% parse-loop12 [145] 17.4% map [135] 14.1% parse-app [157] 13.0% f94 [131] 11.7% for-loop [158] 4.1% table-ref [155] 4.1% ??? [160] 2.5% ---------------------------------------------------------------------------------------- real->bigfloat [138] 20.4% bfdiv [47] 32.6% bfexp [46] 47.0% [146] 1354(4.1%) 1354(4.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------------------------- ??? [143] 7.9% ??? [102] 8.1% ??? [59] 18.2% ??? [94] 20.9% ??? [81] 44.9% [147] 1064(3.2%) 502(1.5%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ??? [94] 52.8% ---------------------------------------------------------------------------------------- map [135] 100.0% [148] 330(1.0%) 330(1.0%) simplify* ...tlock/herbie/src/core/reduce.rkt:20:0 ---------------------------------------------------------------------------------------- exprs-to-branch-on [139] 100.0% [149] 222(0.7%) 0(0.0%) critical-subexpression ...rc/core/regimes.rkt:52:0 for-loop [159] 100.0% ---------------------------------------------------------------------------------------- for-loop [136] 100.0% [150] 190(0.6%) 92(0.3%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [44] 51.6% ---------------------------------------------------------------------------------------- option-on-expr [137] 100.0% [151] 188(0.6%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:187:0 for-loop [161] 100.0% ---------------------------------------------------------------------------------------- map [135] 2.2% loop [152] 97.8% [152] 114(0.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:36:19 loop [152] 97.8% ??? [15] 2.2% ---------------------------------------------------------------------------------------- map [135] 100.0% [153] 106(0.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:219:0 make-multiplication-subnode [162] 100.0% ---------------------------------------------------------------------------------------- make-exacts* [95] 0.0% for-loop [83] 0.8% f94 [131] 0.9% taylor [12] 1.0% extract-alt [39] 1.0% match-e [73] 1.2% loop! [85] 2.2% map-enodes [49] 2.7% map [135] 2.8% parse-loop12 [145] 4.2% loop [154] 83.1% [154] 9400(28.7%) 184(0.6%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [154] 83.1% f94 [131] 3.9% for-loop [60] 2.7% foldl [166] 2.0% loop! [85] 2.0% ??? [165] 1.2% parse-loop12 [145] 1.1% simplify [3] 1.0% simplify [126] 1.0% ??? [4] 0.4% ??? [160] 0.4% ->flonum [21] 0.0% ---------------------------------------------------------------------------------------- parse-loop12 [145] 2.2% f94 [131] 2.7% for-loop [75] 14.7% table-ref [155] 39.7% ??? [81] 40.6% [155] 3426(10.5%) 0(0.0%) table-ref .../racket/private/norm-define.rkt:53:83 table-ref [155] 39.7% ??? [81] 34.0% ??? [163] 26.3% ---------------------------------------------------------------------------------------- sort-context-on-expr [144] 100.0% [156] 2022(6.2%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [164] 80.5% loop [174] 19.5% ---------------------------------------------------------------------------------------- eval-const-expr [69] 22.0% parse-loop12 [145] 78.0% [157] 382(1.2%) 382(1.2%) parse-app .../collects/racket/private/kw.rkt:951:2 ---------------------------------------------------------------------------------------- parse-loop12 [145] 100.0% [158] 228(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:486:59 hash-ref! [120] 100.0% ---------------------------------------------------------------------------------------- critical-subexpression [149] 100.0% [159] 222(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:87:19 eval-prog [184] 100.0% ---------------------------------------------------------------------------------------- parse-loop12 [145] 45.5% loop [154] 54.5% [160] 202(0.6%) 92(0.3%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:50:5 for-loop [167] 54.5% ---------------------------------------------------------------------------------------- pick-errors [151] 100.0% [161] 188(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:190:4 ??? [4] 50.0% eval-prog [184] 50.0% ---------------------------------------------------------------------------------------- make-multiplication-node [153] 100.0% [162] 106(0.3%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:229:0 group-by68 [168] 100.0% ---------------------------------------------------------------------------------------- table-ref [155] 46.5% hash-has-key? [112] 53.5% [163] 1936(5.9%) 608(1.9%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [170] 49.9% ??? [175] 8.9% arrow-higher-order:lnp [173] 5.3% successfully-got-the-right-kind-of-function [193] 4.5% ---------------------------------------------------------------------------------------- ??? [156] 100.0% [164] 1628(5.0%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [169] 93.2% loop [174] 6.8% ---------------------------------------------------------------------------------------- map [135] 34.3% loop [154] 65.7% [165] 332(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [120] 89.2% curried [172] 10.8% ---------------------------------------------------------------------------------------- loop [154] 100.0% [166] 190(0.6%) 190(0.6%) foldl ...et/collects/racket/private/list.rkt:229:4 ---------------------------------------------------------------------------------------- ??? [160] 100.0% [167] 110(0.3%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:51:7 pattern-match [171] 100.0% ---------------------------------------------------------------------------------------- make-multiplication-subnode [162] 100.0% [168] 106(0.3%) 106(0.3%) group-by68 ...acket/collects/racket/list.rkt:749:0 ---------------------------------------------------------------------------------------- generic-sort/key [164] 45.7% copying-mergesort [169] 54.3% [169] 1518(4.6%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [169] 54.3% loop [174] 37.4% jloop [9] 8.2% ---------------------------------------------------------------------------------------- ??? [163] 100.0% [170] 966(2.9%) 290(0.9%) for-loop ...acket/contract/private/list.rkt:743:12 ??? [175] 29.2% for-loop [176] 22.2% successfully-got-the-right-kind-of-function [193] 9.9% ??? [179] 8.7% ---------------------------------------------------------------------------------------- for-loop [177] 50.0% for-loop [167] 50.0% [171] 110(0.3%) 0(0.0%) pattern-match .../herbie/src/core/matcher.rkt:47:0 for-loop [177] 50.0% ??? [94] 50.0% ---------------------------------------------------------------------------------------- ??? [165] 100.0% [172] 108(0.3%) 108(0.3%) curried ...cket/collects/racket/function.rkt:71:18 ---------------------------------------------------------------------------------------- ??? [163] 100.0% [173] 102(0.3%) 0(0.0%) arrow-higher-order:lnp ...w-higher-order.rkt:597:7 ??? [178] 100.0% ---------------------------------------------------------------------------------------- generic-sort/key [164] 7.2% ??? [156] 25.9% copying-mergesort [169] 66.9% [174] 1522(4.6%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [180] 100.0% ---------------------------------------------------------------------------------------- ??? [163] 37.9% for-loop [170] 62.1% [175] 454(1.4%) 80(0.2%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [181] 82.4% ---------------------------------------------------------------------------------------- for-loop [170] 100.0% [176] 214(0.7%) 90(0.3%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [182] 57.9% ---------------------------------------------------------------------------------------- pattern-match [171] 100.0% [177] 110(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/matcher.rkt:65:9 pattern-match [171] 100.0% ---------------------------------------------------------------------------------------- arrow-higher-order:lnp [173] 100.0% [178] 102(0.3%) 102(0.3%) ??? ...et/contract/private/arity-checking.rkt:19:2 ---------------------------------------------------------------------------------------- for-loop [170] 100.0% [179] 84(0.3%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:222:6 check-hash/c [183] 100.0% ---------------------------------------------------------------------------------------- jloop [9] 24.7% loop [174] 75.3% [180] 2022(6.2%) 110(0.3%) ??? /home/ztatlock/herbie/src/points.rkt:81:27 eval-prog [184] 89.9% ??? [4] 4.6% ---------------------------------------------------------------------------------------- ??? [175] 100.0% [181] 374(1.1%) 374(1.1%) make-keyword-procedure ...ket/private/kw.rkt:260:4 ---------------------------------------------------------------------------------------- for-loop [176] 100.0% [182] 124(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:686:7 ??? [185] 100.0% ---------------------------------------------------------------------------------------- ??? [179] 100.0% [183] 84(0.3%) 84(0.3%) check-hash/c ...ket/contract/private/hash.rkt:83:0 ---------------------------------------------------------------------------------------- for-loop [161] 2.5% make-exacts* [95] 2.8% for-loop [159] 5.9% errors [130] 40.2% ??? [180] 48.5% [184] 3746(11.4%) 2584(7.9%) eval-prog ...tatlock/herbie/src/programs.rkt:146:0 f94 [131] 25.5% ??? [186] 3.0% parse-lambda [188] 2.5% ---------------------------------------------------------------------------------------- ??? [182] 36.7% ??? [18] 63.3% [185] 338(1.0%) 214(0.7%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [187] 36.7% ---------------------------------------------------------------------------------------- eval-prog [184] 39.3% eval-const-expr [69] 60.7% [186] 290(0.9%) 0(0.0%) ??? ...cket/collects/racket/private/kw.rkt:1633:36 unpack242 [189] 100.0% ---------------------------------------------------------------------------------------- ??? [185] 100.0% [187] 124(0.4%) 0(0.0%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [190] 100.0% ---------------------------------------------------------------------------------------- eval-prog [184] 100.0% [188] 92(0.3%) 0(0.0%) parse-lambda ...llects/racket/private/kw.rkt:437:2 loop [191] 100.0% ---------------------------------------------------------------------------------------- ??? [186] 100.0% [189] 290(0.9%) 114(0.3%) unpack242 ...private/arrow-higher-order.rkt:354:44 maybe-cons-kwd [192] 60.7% ---------------------------------------------------------------------------------------- ??? [187] 100.0% [190] 124(0.4%) 124(0.4%) ??? ...ects/racket/contract/private/list.rkt:141:5 ---------------------------------------------------------------------------------------- parse-lambda [188] 20.0% loop [191] 80.0% [191] 92(0.3%) 92(0.3%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [191] 80.0% ---------------------------------------------------------------------------------------- unpack242 [189] 100.0% [192] 176(0.5%) 0(0.0%) maybe-cons-kwd ...ate/arrow-higher-order.rkt:498:0 successfully-got-the-right-kind-of-function [193]100.0% ---------------------------------------------------------------------------------------- ??? [163] 24.4% for-loop [170] 26.7% maybe-cons-kwd [192] 48.9% [193] 360(1.1%) 198(0.6%) successfully-got-the-right-kind-of-function ...9:4 arity-checking-wrapper [194] 45.0% ---------------------------------------------------------------------------------------- successfully-got-the-right-kind-of-function [193]100.0% [194] 162(0.5%) 74(0.2%) arity-checking-wrapper ...w-higher-order.rkt:402:0 matches-arity-exactly? [195] 54.3% ---------------------------------------------------------------------------------------- arity-checking-wrapper [194] 100.0% [195] 88(0.3%) 88(0.3%) matches-arity-exactly? ...te/arrow-common.rkt:70:0 ----------------------------------------------------------------------------------------