Profiling results ----------------- Total cpu time observed: 421678ms (out of 422568ms) Number of samples taken: 2040 (once every 207ms) (Hiding functions with self<1.0% and local<2.0%: 13 of 201 hidden) =========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =========================================================================== ??? [26] 100.0% [1] 414464(98.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% --------------------------------------------------------------------------- hash-ref! [132] 100.0% [2] 374458(88.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% --------------------------------------------------------------------------- ??? [16] 0.1% loop [53] 0.3% make-exacts* [51] 0.5% parse-loop12 [144] 45.2% f37 [114] 53.9% [3] 220516(52.3%) 864(0.2%) map ...acket/collects/racket/private/map.rkt:21:13 ??? [16] 47.5% loop [138] 37.2% parse-loop12 [144] 9.6% f37 [114] 4.3% taylor [30] 0.2% ??? [7] 0.2% make-multiplication-node [164] 0.2% ??? [178] 0.2% simplify-node [156] 0.2% ->flonum [165] 0.1% gather-multiplicative-terms [124] 0.0% ??? [146] 0.0% taylor-quotient [8] 0.0% --------------------------------------------------------------------------- simplify-alt [56] 0.8% loop [138] 2.5% ??? [26] 96.7% [4] 26050(6.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 63.8% for-loop [19] 31.1% iterate-egraph!5 [27] 5.2% --------------------------------------------------------------------------- hash-ref! [132] 100.0% [5] 12312(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 100.0% --------------------------------------------------------------------------- hash-ref! [132] 100.0% [6] 5574(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [20] 100.0% --------------------------------------------------------------------------- map [3] 24.1% loop [138] 34.1% parse-loop12 [144] 41.8% [7] 5186(1.2%) 1074(0.3%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [29] 54.9% for-loop [24] 20.3% foldl [150] 4.0% --------------------------------------------------------------------------- map [3] 2.0% hash-ref! [132] 2.1% ??? [16] 4.1% f37 [114] 91.9% [8] 4966(1.2%) 102(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [21] 91.9% simplify [135] 6.1% --------------------------------------------------------------------------- hash-ref! [132] 100.0% [9] 3450(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [23] 51.6% hash-ref! [132] 48.4% --------------------------------------------------------------------------- hash-ref! [132] 100.0% [10] 3106(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [22] 100.0% --------------------------------------------------------------------------- loop [138] 100.0% [11] 1952(0.5%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [17] 100.0% --------------------------------------------------------------------------- hash-ref! [132] 100.0% [12] 1190(0.3%) 230(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [25] 80.7% --------------------------------------------------------------------------- copying-mergesort [102] 100.0% [13] 494(0.1%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [117] 100.0% --------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [14] 414520(98.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [26] 100.0% --------------------------------------------------------------------------- ??? [2] 100.0% [15] 374458(88.8%) 398(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [132] 99.9% --------------------------------------------------------------------------- loop [138] 2.0% map [3] 98.0% [16] 131056(31.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f37 [114] 97.1% hash-ref! [132] 2.2% taylor [30] 0.3% taylor-quotient [8] 0.2% taylor-invert [31] 0.2% map [3] 0.2% --------------------------------------------------------------------------- completely-simplify-alt [11] 10.5% simplify [4] 89.5% [17] 18562(4.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [27] 99.7% loop [32] 0.3% --------------------------------------------------------------------------- ??? [5] 100.0% [18] 12312(2.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [132] 52.4% ??? [139] 35.5% simplify [135] 12.1% --------------------------------------------------------------------------- simplify [4] 100.0% [19] 8096(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [27] 97.3% loop [32] 2.7% --------------------------------------------------------------------------- ??? [6] 100.0% [20] 5574(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [28] 100.0% --------------------------------------------------------------------------- taylor-invert [31] 7.3% taylor-quotient [8] 92.7% [21] 4922(1.2%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [132] 95.9% simplify [135] 4.1% --------------------------------------------------------------------------- ??? [10] 100.0% [22] 3106(0.7%) 220(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [132] 92.9% --------------------------------------------------------------------------- ??? [9] 100.0% [23] 1890(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [132] 100.0% --------------------------------------------------------------------------- ??? [7] 100.0% [24] 1054(0.2%) 252(0.1%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [29] 76.1% --------------------------------------------------------------------------- ??? [12] 100.0% [25] 960(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [144] 100.0% --------------------------------------------------------------------------- for-loop [67] 2.1% run [14] 48.5% [26] 419958(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 run-improve58 [33] 49.0% profile-thunk14 [1] 48.4% simplify [4] 2.1% loop [35] 0.4% --------------------------------------------------------------------------- simplify [4] 4.8% for-loop [19] 28.4% simplify-expr [17] 66.8% [27] 27730(6.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [34] 95.7% map-enodes [37] 4.3% --------------------------------------------------------------------------- for-loop [20] 100.0% [28] 5574(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [132] 100.0% --------------------------------------------------------------------------- for-loop [36] 18.4% for-loop [24] 22.0% ??? [7] 59.6% [29] 3650(0.9%) 2446(0.6%) pattern-match .../herbie/src/core/matcher.rkt:47:0 for-loop [36] 23.9% constant? [133] 11.8% variable? [38] 6.3% --------------------------------------------------------------------------- hash-ref! [132] 4.7% f37 [114] 12.7% ??? [16] 29.4% map [3] 53.2% [30] 1576(0.4%) 514(0.1%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [140] 40.4% debug7 [141] 12.8% loop [138] 7.9% curried [149] 6.3% --------------------------------------------------------------------------- ??? [16] 24.6% f37 [114] 75.4% [31] 812(0.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [135] 55.7% first-nonzero-exp [21] 44.3% --------------------------------------------------------------------------- simplify-expr [17] 18.4% for-loop [19] 81.6% [32] 272(0.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [39] 100.0% --------------------------------------------------------------------------- ??? [26] 100.0% [33] 416490(98.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [40] 92.9% for-loop [41] 6.3% get-final-combination [44] 0.7% setup-prog [47] 0.0% --------------------------------------------------------------------------- iterate-egraph!5 [27] 100.0% [34] 26530(6.3%) 1030(0.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [42] 48.9% loop [43] 44.1% apply-match [50] 2.3% loop [112] 0.9% --------------------------------------------------------------------------- ??? [26] 100.0% [35] 3468(0.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [51] 53.3% loop [45] 45.1% --------------------------------------------------------------------------- pattern-match [29] 100.0% [36] 1546(0.4%) 200(0.0%) for-loop ...tlock/herbie/src/core/matcher.rkt:65:9 pattern-match [29] 87.1% --------------------------------------------------------------------------- iterate-egraph!5 [27] 100.0% [37] 1200(0.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [138] 95.0% for-loop [148] 5.0% --------------------------------------------------------------------------- pattern-match [29] 100.0% [38] 462(0.1%) 462(0.1%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 --------------------------------------------------------------------------- loop [32] 100.0% [39] 272(0.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [46] 100.0% --------------------------------------------------------------------------- run-improve58 [33] 100.0% [40] 387074(91.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [48] 100.0% --------------------------------------------------------------------------- run-improve58 [33] 100.0% [41] 26256(6.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [49] 100.0% --------------------------------------------------------------------------- for-loop [42] 48.6% one-iter [34] 51.4% [42] 12962(3.1%) 2524(0.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [42] 48.6% match-e [59] 40.1% ??? [95] 0.2% --------------------------------------------------------------------------- one-iter [34] 100.0% [43] 11692(2.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [50] 100.0% --------------------------------------------------------------------------- run-improve58 [33] 100.0% [44] 2952(0.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [52] 77.8% extract-alt [54] 22.2% --------------------------------------------------------------------------- loop [35] 100.0% [45] 1564(0.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [53] 46.5% make-exacts* [51] 40.3% eval-prog [122] 13.2% --------------------------------------------------------------------------- pass [39] 100.0% [46] 272(0.1%) 50(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [55] 81.6% --------------------------------------------------------------------------- run-improve58 [33] 100.0% [47] 208(0.0%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [56] 100.0% --------------------------------------------------------------------------- finalize-table! [40] 100.0% [48] 387074(91.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [57] 98.6% loop [138] 1.2% ??? [72] 0.1% --------------------------------------------------------------------------- for-loop [41] 100.0% [49] 26256(6.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [58] 95.9% finalize-iter! [63] 1.8% gen-series! [64] 1.5% --------------------------------------------------------------------------- one-iter [34] 4.9% loop [43] 95.1% [50] 12296(2.9%) 360(0.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [60] 42.1% match-e [59] 16.7% loop! [147] 14.3% substitute-e [62] 11.2% update-leader! [69] 6.9% mk-enode! [71] 5.9% --------------------------------------------------------------------------- loop [45] 25.4% loop [35] 74.6% [51] 2478(0.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [138] 52.2% map [3] 43.5% eval-prog [122] 4.3% --------------------------------------------------------------------------- get-final-combination [44] 100.0% [52] 2298(0.5%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [61] 93.5% ??? [72] 6.5% --------------------------------------------------------------------------- loop [45] 100.0% [53] 728(0.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [3] 100.0% --------------------------------------------------------------------------- get-final-combination [44] 100.0% [54] 654(0.2%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [138] 100.0% --------------------------------------------------------------------------- for-loop [46] 100.0% [55] 222(0.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [65] 100.0% --------------------------------------------------------------------------- setup-prog [47] 100.0% [56] 208(0.0%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [4] 100.0% --------------------------------------------------------------------------- post-process [48] 100.0% [57] 381654(90.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [66] 100.0% --------------------------------------------------------------------------- run-iter! [49] 100.0% [58] 25188(6.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [67] 100.0% --------------------------------------------------------------------------- apply-match [50] 11.5% for-loop [80] 20.9% for-loop [42] 67.6% [59] 12446(3.0%) 5924(1.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [68] 48.8% for-loop [80] 8.1% loop [138] 3.8% custom-in-set [76] 2.2% constant? [133] 0.4% --------------------------------------------------------------------------- for-loop [77] 2.3% merge-egraph-nodes! [60] 6.4% apply-match [50] 91.3% [60] 5180(1.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [69] 67.5% loop! [147] 9.1% for-loop [73] 8.5% merge-egraph-nodes! [60] 6.4% enode-merge! [74] 6.2% for-loop [77] 2.3% --------------------------------------------------------------------------- split-table [52] 100.0% [61] 2148(0.5%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [70] 90.6% loop [138] 9.4% --------------------------------------------------------------------------- substitute-e [62] 7.3% apply-match [50] 92.7% [62] 1372(0.3%) 626(0.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [71] 54.4% substitute-e [62] 7.3% --------------------------------------------------------------------------- run-iter! [49] 100.0% [63] 464(0.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [72] 100.0% --------------------------------------------------------------------------- run-iter! [49] 100.0% [64] 404(0.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [75] 100.0% --------------------------------------------------------------------------- argmin [55] 100.0% [65] 222(0.1%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [78] 100.0% --------------------------------------------------------------------------- append-map [66] 0.1% simplify-node [156] 0.1% parse-loop12 [144] 0.7% f37 [114] 1.4% for-loop [57] 97.8% [66] 381654(90.5%) 5368(1.3%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [79] 97.7% f37 [114] 0.8% loop [138] 0.5% parse-loop12 [144] 0.3% free-variables [126] 0.2% append-map [66] 0.1% --------------------------------------------------------------------------- simplify! [58] 100.0% [67] 25188(6.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [26] 100.0% --------------------------------------------------------------------------- match-e [59] 100.0% [68] 7470(1.8%) 2758(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [80] 52.7% loop [138] 5.7% list-cartesian-product [85] 4.8% curried [149] 2.8% --------------------------------------------------------------------------- apply-match [50] 19.0% merge-egraph-nodes! [60] 81.0% [69] 4466(1.1%) 50(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [81] 97.6% --------------------------------------------------------------------------- loop [138] 9.4% infer-splitpoints4 [61] 90.6% [70] 2148(0.5%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [82] 80.8% pick-errors [88] 7.4% err-lsts->split-indices [89] 7.1% errors [111] 2.4% loop [138] 2.3% --------------------------------------------------------------------------- apply-match [50] 49.2% substitute-e [62] 50.8% [71] 1468(0.3%) 604(0.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [84] 45.2% new-enode [87] 13.6% --------------------------------------------------------------------------- split-table [52] 17.9% post-process [48] 26.6% finalize-iter! [63] 55.5% [72] 836(0.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [83] 82.1% split-atab [90] 17.9% --------------------------------------------------------------------------- merge-egraph-nodes! [60] 100.0% [73] 442(0.1%) 442(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 --------------------------------------------------------------------------- merge-egraph-nodes! [60] 100.0% [74] 420(0.1%) 200(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [86] 52.4% --------------------------------------------------------------------------- gen-series! [64] 100.0% [75] 404(0.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [79] 100.0% --------------------------------------------------------------------------- match-e [59] 100.0% [76] 270(0.1%) 270(0.1%) custom-in-set ...acket/private/set-types.rkt:578:0 --------------------------------------------------------------------------- merge-egraph-nodes! [60] 100.0% [77] 242(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [60] 100.0% --------------------------------------------------------------------------- expression-cost [65] 100.0% [78] 222(0.1%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [132] 100.0% --------------------------------------------------------------------------- for-loop [75] 0.1% loop [138] 0.1% append-map [66] 99.8% [79] 382058(90.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [91] 100.0% --------------------------------------------------------------------------- match-e [59] 28.2% for-loop [68] 71.8% [80] 6210(1.5%) 900(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [59] 79.8% ??? [95] 7.4% --------------------------------------------------------------------------- update-leader! [69] 100.0% [81] 4360(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [92] 100.0% --------------------------------------------------------------------------- option-on-expr [70] 100.0% [82] 1736(0.4%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [93] 100.0% --------------------------------------------------------------------------- ??? [72] 100.0% [83] 686(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [94] 100.0% --------------------------------------------------------------------------- mk-enode! [71] 100.0% [84] 664(0.2%) 664(0.2%) hash-has-key? ...et/private/more-scheme.rkt:368:13 --------------------------------------------------------------------------- list-cartesian-product [85] 21.8% for-loop [68] 78.2% [85] 458(0.1%) 458(0.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [85] 21.8% --------------------------------------------------------------------------- enode-merge! [74] 100.0% [86] 220(0.1%) 220(0.1%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 --------------------------------------------------------------------------- mk-enode! [71] 100.0% [87] 200(0.0%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [96] 100.0% --------------------------------------------------------------------------- option-on-expr [70] 100.0% [88] 158(0.0%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [97] 100.0% --------------------------------------------------------------------------- option-on-expr [70] 100.0% [89] 152(0.0%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [98] 100.0% --------------------------------------------------------------------------- ??? [72] 100.0% [90] 150(0.0%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [99] 100.0% --------------------------------------------------------------------------- taylor-alt [79] 100.0% [91] 382058(90.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [100] 100.0% --------------------------------------------------------------------------- for-loop [81] 100.0% [92] 4360(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [101] 100.0% --------------------------------------------------------------------------- sort-context-on-expr [82] 100.0% [93] 1736(0.4%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [102] 65.6% loop [110] 34.4% --------------------------------------------------------------------------- for-loop [83] 100.0% [94] 686(0.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [103] 100.0% --------------------------------------------------------------------------- for-loop [42] 9.8% for-loop [80] 90.2% [95] 512(0.1%) 222(0.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [104] 56.6% --------------------------------------------------------------------------- new-enode [87] 100.0% [96] 200(0.0%) 200(0.0%) mutable-set ...racket/private/set-types.rkt:1000:0 --------------------------------------------------------------------------- pick-errors [88] 100.0% [97] 158(0.0%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [122] 100.0% --------------------------------------------------------------------------- err-lsts->split-indices [89] 100.0% [98] 152(0.0%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [105] 100.0% --------------------------------------------------------------------------- split-atab [90] 100.0% [99] 150(0.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [106] 66.7% for-loop [107] 33.3% --------------------------------------------------------------------------- location-do [100] 38.4% for-loop [91] 61.6% [100] 382058(90.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [108] 61.6% location-do [100] 38.4% --------------------------------------------------------------------------- for-loop [92] 100.0% [101] 4360(1.0%) 200(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [109] 95.4% --------------------------------------------------------------------------- sort [93] 42.9% copying-mergesort [102] 57.1% [102] 1138(0.3%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [102] 57.1% loop [110] 32.0% jloop [13] 10.9% --------------------------------------------------------------------------- atab-add-altn [94] 100.0% [103] 686(0.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [111] 100.0% --------------------------------------------------------------------------- ??? [95] 100.0% [104] 290(0.1%) 290(0.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 --------------------------------------------------------------------------- add-splitpoint [98] 100.0% [105] 152(0.0%) 100(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 for-loop [113] 34.2% --------------------------------------------------------------------------- for-loop [99] 100.0% [106] 100(0.0%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [112] 50.0% filter [161] 50.0% --------------------------------------------------------------------------- for-loop [99] 100.0% [107] 50(0.0%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:76:45 ??? [119] 100.0% --------------------------------------------------------------------------- location-do [100] 100.0% [108] 382058(90.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f37 [114] 95.4% loop [115] 4.6% --------------------------------------------------------------------------- hash-update! [101] 100.0% [109] 4160(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [116] 100.0% --------------------------------------------------------------------------- sort [93] 48.1% copying-mergesort [102] 51.9% [110] 1242(0.3%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [117] 95.5% ??? [146] 4.5% --------------------------------------------------------------------------- loop [138] 6.3% option-on-expr [70] 6.6% best-and-tied-at-points [103] 87.1% [111] 788(0.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [118] 57.1% eval-prog [122] 42.9% --------------------------------------------------------------------------- for-loop [106] 17.1% one-iter [34] 82.9% [112] 292(0.1%) 242(0.1%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [119] 17.1% --------------------------------------------------------------------------- for-loop [105] 100.0% [113] 52(0.0%) 52(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:243:8 --------------------------------------------------------------------------- simplify-node [156] 0.0% for-loop [160] 0.0% composed [121] 0.2% loop [138] 0.4% append-map [66] 0.5% hash-ref! [132] 0.7% parse-loop12 [144] 0.7% simplify [135] 1.2% map [3] 1.7% ??? [16] 6.5% approximate9 [108] 24.7% f37 [114] 63.4% [114] 381108(90.4%) 5570(1.3%) f37 ...t/collects/racket/match/compiler.rkt:499:40 f37 [114] 63.4% loop [120] 24.5% map [3] 9.8% append-map [66] 0.9% composed [121] 0.5% taylor-quotient [8] 0.2% compose [179] 0.1% combine-mterms [123] 0.1% gather-multiplicative-terms [124] 0.0% taylor-invert [31] 0.0% taylor [30] 0.0% parse-loop12 [144] 0.0% loop [138] 0.0% --------------------------------------------------------------------------- approximate9 [108] 100.0% [115] 17496(4.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [132] 100.0% --------------------------------------------------------------------------- ??? [109] 100.0% [116] 4160(1.0%) 3960(0.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [125] 4.8% --------------------------------------------------------------------------- jloop [13] 29.4% loop [110] 70.6% [117] 1680(0.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [122] 93.6% ??? [146] 6.4% --------------------------------------------------------------------------- errors [111] 100.0% [118] 450(0.1%) 50(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [146] 88.9% --------------------------------------------------------------------------- filter [161] 33.3% for-loop [107] 33.3% loop [112] 33.3% [119] 150(0.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/regimes.rkt:291:8 eval-prog [122] 100.0% --------------------------------------------------------------------------- f37 [114] 100.0% [120] 364126(86.4%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [132] 100.0% --------------------------------------------------------------------------- f37 [114] 100.0% [121] 13006(3.1%) 856(0.2%) composed ...ollects/racket/private/list.rkt:321:16 f37 [114] 44.1% parse-loop12 [144] 41.5% free-variables [126] 7.9% --------------------------------------------------------------------------- make-exacts* [51] 4.2% ??? [119] 5.9% for-loop [97] 6.2% loop [45] 8.1% errors [111] 13.4% ??? [117] 62.1% [122] 2530(0.6%) 1234(0.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [132] 36.4% ??? [129] 4.2% inductor [128] 4.2% parse-app [154] 2.2% parse-lambda [130] 2.2% new-lambda [131] 2.1% --------------------------------------------------------------------------- f37 [114] 100.0% [123] 1172(0.3%) 870(0.2%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [127] 25.8% --------------------------------------------------------------------------- gather-multiplicative-terms [124] 10.0% map [3] 20.0% f37 [114] 69.9% [124] 1008(0.2%) 786(0.2%) gather-multiplicative-terms ...re/reduce.rkt:107:0 compose [179] 22.0% gather-multiplicative-terms [124] 10.0% --------------------------------------------------------------------------- for-loop [116] 100.0% [125] 200(0.0%) 200(0.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------------- composed [121] 27.2% append-map [66] 72.8% [126] 3770(0.9%) 3368(0.8%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [133] 10.7% --------------------------------------------------------------------------- combine-mterms [123] 100.0% [127] 302(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [132] 100.0% --------------------------------------------------------------------------- inductor [128] 44.0% eval-prog [122] 56.0% [128] 106(0.0%) 106(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [128] 44.0% --------------------------------------------------------------------------- eval-prog [122] 100.0% [129] 106(0.0%) 50(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [134] 52.8% --------------------------------------------------------------------------- eval-prog [122] 100.0% [130] 56(0.0%) 56(0.0%) parse-lambda ...llects/racket/private/kw.rkt:393:2 --------------------------------------------------------------------------- eval-prog [122] 100.0% [131] 52(0.0%) 52(0.0%) new-lambda ...ollects/racket/private/kw.rkt:631:11 --------------------------------------------------------------------------- for-loop [127] 0.0% compile [78] 0.1% ??? [9] 0.1% for-loop [23] 0.1% for-loop [22] 0.1% eval-prog [122] 0.1% loop [138] 0.1% for-loop [28] 0.2% first-nonzero-exp [21] 0.2% ??? [139] 0.3% ??? [136] 0.4% for-loop [18] 0.5% ??? [16] 0.5% loop [115] 0.8% loop [120] 47.2% for-loop [15] 47.8% [132] 385528(91.4%) 524(0.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [2] 47.9% simplify [135] 47.6% ??? [5] 0.8% parse-loop12 [144] 0.8% f37 [114] 0.5% ??? [136] 0.4% ??? [6] 0.2% ??? [9] 0.1% bigfloat-hash [137] 0.1% ??? [10] 0.1% ??? [12] 0.1% taylor [30] 0.0% taylor-quotient [8] 0.0% --------------------------------------------------------------------------- match-e [59] 5.0% free-variables [126] 40.4% pattern-match [29] 54.5% [133] 994(0.2%) 994(0.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 --------------------------------------------------------------------------- ??? [129] 100.0% [134] 56(0.0%) 56(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 --------------------------------------------------------------------------- loop [138] 0.0% first-nonzero-exp [21] 0.1% taylor-quotient [8] 0.1% taylor-invert [31] 0.1% for-loop [18] 0.4% hash-ref! [132] 99.3% [135] 379234(89.9%) 278(0.1%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [144] 95.4% f37 [114] 3.3% debug-print [140] 0.9% debug7 [141] 0.1% simplify-node [156] 0.1% make-multiplication-node [164] 0.0% --------------------------------------------------------------------------- hash-ref! [132] 100.0% [136] 10052(2.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [132] 86.0% ??? [139] 14.0% --------------------------------------------------------------------------- hash-ref! [132] 100.0% [137] 920(0.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [142] 65.4% sig+exp->bigfloat [143] 34.6% --------------------------------------------------------------------------- make-exacts* [51] 0.0% option-on-expr [70] 0.0% f37 [114] 0.0% taylor [30] 0.0% map-enodes [37] 0.0% infer-splitpoints4 [61] 0.1% for-loop [68] 0.1% extract-alt [54] 0.1% post-process [48] 0.2% match-e [59] 0.2% loop! [147] 0.3% append-map [66] 0.3% map [3] 1.7% parse-loop12 [144] 4.5% loop [138] 92.3% [138] 301352(71.5%) 2000(0.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [138] 92.3% parse-loop12 [144] 5.8% f37 [114] 0.4% loop! [147] 0.3% hash-ref! [132] 0.2% ??? [16] 0.1% taylor-alt [79] 0.1% simplify [4] 0.1% option-on-expr [70] 0.1% simplify [135] 0.0% completely-simplify-alt [11] 0.0% for-loop [148] 0.0% ??? [7] 0.0% make-multiplication-node [164] 0.0% curried [149] 0.0% ??? [146] 0.0% ??? [178] 0.0% ...higher-order.rkt:373:33 [167] 0.0% foldl [150] 0.0% errors [111] 0.0% bf* [174] 0.0% --------------------------------------------------------------------------- ??? [136] 15.4% for-loop [18] 84.6% [139] 7672(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [132] 100.0% --------------------------------------------------------------------------- taylor [30] 15.1% simplify [135] 84.9% [140] 4220(1.0%) 532(0.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [145] 87.4% --------------------------------------------------------------------------- taylor [30] 26.7% simplify [135] 73.3% [141] 756(0.2%) 354(0.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [151] 26.7% return/no-unsupplied [152] 26.5% --------------------------------------------------------------------------- bigfloat-hash [137] 100.0% [142] 602(0.1%) 602(0.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------------- bigfloat-hash [137] 100.0% [143] 318(0.1%) 264(0.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [153] 17.0% --------------------------------------------------------------------------- f37 [114] 0.0% for-loop [25] 0.2% composed [121] 0.4% append-map [66] 0.7% hash-ref! [132] 0.9% map [3] 2.3% loop [138] 19.1% simplify [135] 32.9% parse-loop12 [144] 43.3% [144] 373264(88.5%) 309322(73.4%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [144] 43.3% loop [138] 14.0% map [3] 7.7% parse-app [154] 4.2% f37 [114] 1.1% append-map [66] 1.0% ??? [7] 0.1% for-loop [160] 0.1% make-multiplication-node [164] 0.1% loop [162] 0.1% simplify-node [156] 0.0% --------------------------------------------------------------------------- debug-print [140] 100.0% [145] 3688(0.9%) 3688(0.9%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------------- loop [110] 1.5% map [3] 1.6% ??? [117] 2.9% for-loop [118] 10.9% loop [138] 83.0% [146] 3664(0.9%) 106(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [155] 63.8% real->bigfloat [158] 22.2% ->flonum [165] 9.6% ??? [183] 1.6% --------------------------------------------------------------------------- merge-egraph-nodes! [60] 21.9% loop [138] 33.7% apply-match [50] 44.3% [147] 2456(0.6%) 600(0.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [157] 40.7% loop [138] 33.7% set [159] 13.3% --------------------------------------------------------------------------- map-enodes [37] 6.1% loop [138] 93.9% [148] 980(0.2%) 738(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 compose [179] 24.7% --------------------------------------------------------------------------- taylor [30] 12.5% loop [138] 34.6% for-loop [68] 52.9% [149] 798(0.2%) 798(0.2%) curried ...cket/collects/racket/function.rkt:71:18 --------------------------------------------------------------------------- loop [138] 19.8% ??? [7] 80.2% [150] 262(0.1%) 262(0.1%) foldl ...et/collects/racket/private/list.rkt:229:4 --------------------------------------------------------------------------- debug7 [141] 100.0% [151] 202(0.0%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [183] 100.0% --------------------------------------------------------------------------- debug7 [141] 100.0% [152] 200(0.0%) 0(0.0%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [161] 100.0% --------------------------------------------------------------------------- sig+exp->bigfloat [143] 100.0% [153] 54(0.0%) 54(0.0%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 --------------------------------------------------------------------------- eval-prog [122] 0.2% parse-loop12 [144] 99.8% [154] 34082(8.1%) 30388(7.2%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [163] 10.8% --------------------------------------------------------------------------- ??? [146] 100.0% [155] 2336(0.6%) 268(0.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [178] 57.0% bffma [168] 21.0% ...higher-order.rkt:373:33 [167] 7.7% ...ow-val-first.rkt:357:18 [172] 2.8% --------------------------------------------------------------------------- parse-loop12 [144] 13.7% simplify [135] 24.1% map [3] 62.2% [156] 1746(0.4%) 460(0.1%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [66] 46.6% f37 [114] 14.4% combine-aterms [170] 12.6% --------------------------------------------------------------------------- loop! [147] 100.0% [157] 1120(0.3%) 240(0.1%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [166] 57.1% for-loop [169] 21.4% --------------------------------------------------------------------------- ??? [146] 100.0% [158] 812(0.2%) 760(0.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [186] 6.4% --------------------------------------------------------------------------- loop! [147] 100.0% [159] 736(0.2%) 736(0.2%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------------- parse-loop12 [144] 100.0% [160] 402(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f37 [114] 50.2% make-multiplication-node [164] 49.8% --------------------------------------------------------------------------- for-loop [106] 20.0% return/no-unsupplied [152] 80.0% [161] 250(0.1%) 200(0.0%) filter ...t/collects/racket/private/list.rkt:256:2 ??? [119] 20.0% --------------------------------------------------------------------------- parse-loop12 [144] 1.4% loop [162] 98.6% [162] 222(0.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [162] 98.6% ->flonum [165] 1.4% --------------------------------------------------------------------------- loop [163] 28.7% parse-app [154] 71.3% [163] 3694(0.9%) 3694(0.9%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [163] 28.7% --------------------------------------------------------------------------- simplify [135] 2.7% loop [138] 10.6% for-loop [160] 10.7% map [3] 33.4% parse-loop12 [144] 42.5% [164] 1862(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [171]100.0% --------------------------------------------------------------------------- map [3] 25.9% loop [162] 28.8% ??? [146] 45.3% [165] 772(0.2%) 108(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [175] 31.3% ??? [176] 28.8% ??? [185] 25.9% --------------------------------------------------------------------------- custom-set-union [157] 100.0% [166] 640(0.2%) 218(0.1%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [173] 65.9% --------------------------------------------------------------------------- ??? [155] 30.0% loop [138] 70.0% [167] 600(0.1%) 220(0.1%) ...higher-order.rkt:373:33 (unknown source) ??? [183] 53.7% ??? [181] 9.7% --------------------------------------------------------------------------- ??? [155] 100.0% [168] 490(0.1%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 ...ow-val-first.rkt:357:18 [172] 78.4% bf* [174] 21.6% --------------------------------------------------------------------------- custom-set-union [157] 100.0% [169] 240(0.1%) 240(0.1%) for-loop ...cts/racket/private/set-types.rkt:152:2 --------------------------------------------------------------------------- simplify-node [156] 100.0% [170] 220(0.1%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [177] 100.0% --------------------------------------------------------------------------- make-multiplication-node [164] 100.0% [171] 1862(0.4%) 890(0.2%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [180] 30.8% compose [179] 21.4% --------------------------------------------------------------------------- ??? [155] 14.7% bffma [168] 85.3% [172] 450(0.1%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [181] 100.0% --------------------------------------------------------------------------- for-loop [166] 100.0% [173] 422(0.1%) 422(0.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------------- bffma [168] 30.5% loop [138] 69.5% [174] 348(0.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [178] 100.0% --------------------------------------------------------------------------- ->flonum [165] 100.0% [175] 242(0.1%) 242(0.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------------- ->flonum [165] 100.0% [176] 222(0.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [186] 100.0% --------------------------------------------------------------------------- combine-aterms [170] 100.0% [177] 220(0.1%) 220(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 --------------------------------------------------------------------------- bf* [174] 9.1% map [3] 21.6% loop [138] 34.7% ??? [155] 34.7% [178] 3844(0.9%) 240(0.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [182] 38.1% ??? [185] 34.0% bflog [184] 21.6% --------------------------------------------------------------------------- gather-multiplicative-terms [124] 7.2% for-loop [148] 7.9% make-multiplication-subnode [171] 12.9% f37 [114] 72.0% [179] 3074(0.7%) 3074(0.7%) compose ...collects/racket/private/list.rkt:385:12 --------------------------------------------------------------------------- make-multiplication-subnode [171]100.0% [180] 574(0.1%) 574(0.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 --------------------------------------------------------------------------- ...higher-order.rkt:373:33 [167] 11.4% ...ow-val-first.rkt:357:18 [172] 88.6% [181] 508(0.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [183] 100.0% --------------------------------------------------------------------------- ??? [178] 100.0% [182] 1466(0.3%) 582(0.1%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [186] 60.3% --------------------------------------------------------------------------- ??? [146] 5.5% ??? [151] 18.5% ...higher-order.rkt:373:33 [167] 29.5% ??? [181] 46.5% [183] 1092(0.3%) 260(0.1%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [185] 76.2% --------------------------------------------------------------------------- ??? [178] 100.0% [184] 832(0.2%) 832(0.2%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 --------------------------------------------------------------------------- ->flonum [165] 8.6% ??? [183] 35.6% ??? [178] 55.9% [185] 2338(0.6%) 636(0.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [187] 72.8% --------------------------------------------------------------------------- real->bigfloat [158] 4.5% ??? [176] 19.2% bfmul [182] 76.3% [186] 1158(0.3%) 1158(0.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------------- ??? [185] 100.0% [187] 1702(0.4%) 350(0.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [188] 79.4% --------------------------------------------------------------------------- ??? [187] 100.0% [188] 1352(0.3%) 1352(0.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------------