Profiling results ----------------- Total cpu time observed: 919714ms (out of 923372ms) Number of samples taken: 2737 (once every 336ms) (Hiding functions with self<1.0% and local<2.0%: 23 of 295 hidden) ========================================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================================= ??? [93] 100.0% [1] 786174(85.5%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [24] 100.0% ----------------------------------------------------------------------------------------- ??? [93] 100.0% [2] 748128(81.3%) 0(0.0%) run-improve50 ...ie/develop/src/mainloop.rkt:234:0 for-loop [25] 96.3% get-final-combination [33] 3.3% loop [112] 0.3% setup-alt-simplified [43] 0.0% ----------------------------------------------------------------------------------------- ??? [174] 100.0% [3] 632350(68.8%) 340(0.0%) iterate-egraph!13 ...p/src/core/simplify.rkt:105:0 one-iter [26] 98.2% map-enodes [34] 1.7% debug7 [70] 0.1% ----------------------------------------------------------------------------------------- ??? [167] 100.0% [4] 100018(10.9%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [27] 97.4% f137 [161] 2.6% ----------------------------------------------------------------------------------------- hash-ref! [212] 100.0% [5] 92060(10.0%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:44:15 ??? [49] 95.2% hash-ref! [212] 2.6% simplify [48] 2.2% ----------------------------------------------------------------------------------------- hash-ref! [212] 100.0% [6] 87272(9.5%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:285:26 for-loop [28] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [212] 100.0% [7] 76410(8.3%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:295:23 for-loop [29] 100.0% ----------------------------------------------------------------------------------------- ??? [174] 100.0% [8] 73406(8.0%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:237:2 pass [30] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [212] 100.0% [9] 67764(7.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:322:33 for-loop [31] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [212] 100.0% [10] 40568(4.4%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:67:15 ??? [167] 94.2% hash-ref! [212] 5.8% ----------------------------------------------------------------------------------------- hash-ref! [212] 100.0% [11] 38338(4.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:392:23 for-loop [32] 100.0% ----------------------------------------------------------------------------------------- pattern-match [53] 1.9% free-variables [261] 7.2% substitute-e [81] 12.2% match-e [62] 78.7% [12] 18590(2.0%) 694(0.1%) variable? ...e/develop/src/syntax/syntax.rkt:662:0 ??? [135] 96.3% ----------------------------------------------------------------------------------------- map-enodes [34] 12.0% loop [185] 88.0% [13] 10270(1.1%) 4042(0.4%) for-loop ...ie/develop/src/core/simplify.rkt:195:2 setfindf [35] 41.9% eval-const-expr [38] 18.8% ----------------------------------------------------------------------------------------- hash-ref! [212] 100.0% [14] 10174(1.1%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:192:5 hash-ref! [212] 57.3% loop [185] 42.7% ----------------------------------------------------------------------------------------- f137 [161] 100.0% [15] 3374(0.4%) 708(0.1%) taylor ...herbie/develop/src/core/taylor.rkt:163:0 loop [185] 39.7% debug-print [71] 29.8% debug7 [70] 9.6% ----------------------------------------------------------------------------------------- rewriter [113] 100.0% [16] 2646(0.3%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:519:0 for-loop [36] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [212] 100.0% [17] 2392(0.3%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:338:33 hash-ref! [212] 78.3% for-loop [40] 21.7% ----------------------------------------------------------------------------------------- map [168] 100.0% [18] 2148(0.2%) 0(0.0%) ??? ...ies/herbie/develop/src/core/reduce.rkt:61:5 for-loop [39] 82.8% pattern-match [53] 17.2% ----------------------------------------------------------------------------------------- hash-ref! [212] 100.0% [19] 1984(0.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:483:23 for-loop [37] 100.0% ----------------------------------------------------------------------------------------- f137 [161] 100.0% [20] 1644(0.2%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:312:0 simplify [48] 60.9% first-nonzero-exp [44] 19.7% ??? [191] 19.3% ----------------------------------------------------------------------------------------- f137 [161] 100.0% [21] 1006(0.1%) 336(0.0%) combine-mterms ...evelop/src/core/reduce.rkt:191:0 for-loop [41] 66.6% ----------------------------------------------------------------------------------------- copying-mergesort [256] 100.0% [22] 952(0.1%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [162] 100.0% ----------------------------------------------------------------------------------------- matcher [132] 100.0% [23] 708(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/matcher.rkt:159:6 pattern-match [53] 50.6% pattern-substitute [42] 49.4% ----------------------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [24] 786504(85.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [93] 100.0% ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [25] 720432(78.3%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:249:10 run-iter! [45] 100.0% ----------------------------------------------------------------------------------------- iterate-egraph!13 [3] 100.0% [26] 620760(67.5%) 11236(1.2%) one-iter ...ie/develop/src/core/simplify.rkt:116:0 for-loop [46] 65.9% for-loop [47] 32.2% ----------------------------------------------------------------------------------------- approximate9 [4] 100.0% [27] 97396(10.6%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 ??? [167] 58.0% hash-ref! [212] 41.7% get-coeffs [57] 0.4% ----------------------------------------------------------------------------------------- ??? [6] 100.0% [28] 87272(9.5%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:285:52 ??? [49] 65.4% hash-ref! [212] 30.9% simplify [48] 3.7% ----------------------------------------------------------------------------------------- ??? [7] 100.0% [29] 76410(8.3%) 640(0.1%) for-loop ...bie/develop/src/core/taylor.rkt:298:27 hash-ref! [212] 98.9% simplify [48] 0.8% ----------------------------------------------------------------------------------------- loop [8] 100.0% [30] 73406(8.0%) 320(0.0%) pass ...herbie/develop/src/core/simplify.rkt:227:2 for-loop [50] 99.6% ----------------------------------------------------------------------------------------- ??? [9] 100.0% [31] 67764(7.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:324:46 hash-ref! [212] 99.8% ??? [191] 0.2% ----------------------------------------------------------------------------------------- ??? [11] 100.0% [32] 38338(4.2%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:396:33 for-loop [51] 100.0% ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [33] 25062(2.7%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:264:0 split-table [52] 97.5% extract-alt [56] 2.5% ----------------------------------------------------------------------------------------- iterate-egraph!13 [3] 100.0% [34] 10914(1.2%) 312(0.0%) map-enodes ...ie/develop/src/core/egraph.rkt:140:0 loop [185] 85.9% for-loop [13] 11.3% ----------------------------------------------------------------------------------------- for-loop [13] 100.0% [35] 4300(0.5%) 2646(0.3%) setfindf ...es/herbie/develop/src/common.rkt:184:0 ??? [135] 23.5% for-loop [58] 7.8% custom-in-set [87] 7.2% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [80] 26.7% *rules* [16] 73.3% [36] 3610(0.4%) 964(0.1%) for-loop ...ies/herbie/develop/src/common.rkt:99:9 ormap [54] 54.4% flag-set? [72] 18.9% ----------------------------------------------------------------------------------------- ??? [19] 100.0% [37] 1984(0.2%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:487:35 parse-loop12 [175] 100.0% ----------------------------------------------------------------------------------------- for-loop [13] 100.0% [38] 1928(0.2%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:166:0 f137 [161] 65.8% ??? [55] 34.2% ----------------------------------------------------------------------------------------- ??? [18] 100.0% [39] 1778(0.2%) 0(0.0%) for-loop ...erbie/develop/src/core/reduce.rkt:62:7 pattern-match [53] 100.0% ----------------------------------------------------------------------------------------- ??? [17] 100.0% [40] 1036(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:341:46 hash-ref! [212] 100.0% ----------------------------------------------------------------------------------------- combine-mterms [21] 100.0% [41] 670(0.1%) 334(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:195:5 hash-ref! [212] 50.1% ----------------------------------------------------------------------------------------- for-loop [23] 100.0% [42] 350(0.0%) 350(0.0%) pattern-substitute ...op/src/core/matcher.rkt:73:0 ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [43] 332(0.0%) 0(0.0%) setup-alt-simplified .../develop/src/glue.rkt:49:0 simplify-alt [59] 100.0% ----------------------------------------------------------------------------------------- taylor-invert [20] 100.0% [44] 324(0.0%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:260:0 hash-ref! [212] 100.0% ----------------------------------------------------------------------------------------- for-loop [25] 100.0% [45] 720432(78.3%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:215:0 simplify! [60] 81.2% gen-series! [63] 13.9% finalize-iter! [65] 3.9% gen-rewrites! [68] 0.7% ----------------------------------------------------------------------------------------- one-iter [26] 100.0% [46] 408904(44.5%) 3340(0.4%) for-loop ...ie/develop/src/core/simplify.rkt:166:2 for-loop [61] 89.3% match-e [62] 7.1% update-leader! [97] 2.4% reduce-to-single! [73] 0.3% ----------------------------------------------------------------------------------------- for-loop [47] 48.7% one-iter [26] 51.3% [47] 199624(21.7%) 45690(5.0%) for-loop ...e/develop/src/core/simplify.rkt:126:12 for-loop [47] 48.7% match-e [62] 38.5% ??? [114] 0.1% ----------------------------------------------------------------------------------------- taylor-sqrt [208] 0.4% for-loop [29] 0.7% taylor-invert [20] 1.1% loop [185] 1.4% ??? [5] 2.2% for-loop [28] 4.9% hash-ref! [212] 88.3% [48] 94728(10.3%) 334(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f137 [161] 62.0% parse-loop12 [175] 31.4% debug7 [70] 2.4% debug-print [71] 1.4% simplify-node [67] 1.4% simplify* [187] 0.7% make-multiplication-node [201] 0.4% ----------------------------------------------------------------------------------------- ??? [5] 38.3% for-loop [28] 61.7% [49] 88638(9.6%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:288:19 hash-ref! [212] 100.0% ----------------------------------------------------------------------------------------- pass [30] 100.0% [50] 73086(7.9%) 990(0.1%) for-loop ...e/develop/src/core/simplify.rkt:230:29 argmin [64] 74.6% loop [66] 17.9% for-loop [69] 4.8% make-sequence [117] 0.9% filter [221] 0.5% ----------------------------------------------------------------------------------------- for-loop [32] 100.0% [51] 38338(4.2%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:398:39 hash-ref! [212] 100.0% ----------------------------------------------------------------------------------------- get-final-combination [33] 100.0% [52] 24428(2.7%) 0(0.0%) split-table ...s/herbie/develop/src/glue.rkt:162:0 f137 [161] 100.0% ----------------------------------------------------------------------------------------- for-loop [23] 14.3% ??? [18] 14.8% for-loop [74] 21.4% for-loop [39] 49.5% [53] 2506(0.3%) 1432(0.2%) pattern-match ...develop/src/core/matcher.rkt:48:0 for-loop [74] 21.4% ??? [135] 14.4% variable? [12] 7.1% ----------------------------------------------------------------------------------------- for-loop [36] 100.0% [54] 1964(0.2%) 310(0.0%) ormap ...et/collects/racket/private/map.rkt:105:13 flag-set? [72] 67.7% list-member? [84] 16.5% ----------------------------------------------------------------------------------------- eval-const-expr [38] 100.0% [55] 660(0.1%) 0(0.0%) ??? ...cket/collects/racket/private/kw.rkt:1633:36 unpack245 [75] 100.0% ----------------------------------------------------------------------------------------- get-final-combination [33] 100.0% [56] 634(0.1%) 0(0.0%) extract-alt ...es/herbie/develop/src/glue.rkt:55:0 loop [192] 100.0% ----------------------------------------------------------------------------------------- loop [27] 100.0% [57] 360(0.0%) 0(0.0%) get-coeffs ...bie/develop/src/core/taylor.rkt:64:2 listof [76] 100.0% ----------------------------------------------------------------------------------------- setfindf [35] 100.0% [58] 334(0.0%) 334(0.0%) for-loop ...es/herbie/develop/src/common.rkt:185:2 ----------------------------------------------------------------------------------------- setup-alt-simplified [43] 100.0% [59] 332(0.0%) 0(0.0%) simplify-alt ...s/herbie/develop/src/glue.rkt:76:0 ??? [174] 100.0% ----------------------------------------------------------------------------------------- run-iter! [45] 100.0% [60] 584912(63.6%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:155:0 for-loop [77] 100.0% ----------------------------------------------------------------------------------------- for-loop [46] 100.0% [61] 365188(39.7%) 1374(0.1%) for-loop ...e/develop/src/core/simplify.rkt:148:10 mk-enode! [94] 29.3% merge-egraph-nodes! [80] 25.2% loop! [196] 22.3% substitute-e [81] 20.2% list-member? [84] 2.5% ----------------------------------------------------------------------------------------- for-loop [46] 10.1% for-loop [96] 22.4% for-loop [47] 67.5% [62] 182826(19.9%) 78294(8.5%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [79] 40.2% for-loop [96] 8.5% ??? [135] 7.2% variable? [12] 3.3% list-cartesian-product [99] 1.4% custom-in-set [87] 1.2% loop [185] 0.9% filter [221] 0.3% curry* [106] 0.2% ----------------------------------------------------------------------------------------- run-iter! [45] 100.0% [63] 100018(10.9%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:129:0 for-loop [78] 100.0% ----------------------------------------------------------------------------------------- for-loop [50] 100.0% [64] 54492(5.9%) 360(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [82] 87.0% expression-cost [85] 12.4% ----------------------------------------------------------------------------------------- run-iter! [45] 100.0% [65] 28392(3.1%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:169:0 ??? [135] 100.0% ----------------------------------------------------------------------------------------- for-loop [50] 100.0% [66] 13064(1.4%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 for-loop [82] 92.1% expression-cost [85] 7.9% ----------------------------------------------------------------------------------------- simplify [48] 10.3% map [168] 89.7% [67] 12384(1.3%) 684(0.1%) simplify-node .../develop/src/core/reduce.rkt:50:0 f137 [161] 43.4% append-map [83] 37.9% combine-aterms [89] 8.1% partition [119] 2.6% make-addition-node* [91] 2.5% ----------------------------------------------------------------------------------------- run-iter! [45] 100.0% [68] 5008(0.5%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:142:0 for-loop [86] 100.0% ----------------------------------------------------------------------------------------- for-loop [50] 100.0% [69] 3524(0.4%) 3524(0.4%) for-loop ...e/develop/src/core/simplify.rkt:217:13 ----------------------------------------------------------------------------------------- taylor [15] 11.0% iterate-egraph!13 [3] 11.4% simplify [48] 77.7% [70] 2958(0.3%) 1300(0.1%) debug7 ...tlies/herbie/develop/src/debug.rkt:102:0 ??? [135] 23.1% ??? [259] 22.0% return/no-unsupplied [200] 10.9% ----------------------------------------------------------------------------------------- taylor [15] 42.9% simplify [48] 57.1% [71] 2342(0.3%) 680(0.1%) debug-print .../herbie/develop/src/debug.rkt:107:0 for-loop [88] 71.0% ----------------------------------------------------------------------------------------- for-loop [36] 33.9% ormap [54] 66.1% [72] 2012(0.2%) 1374(0.1%) flag-set? ...es/herbie/develop/src/config.rkt:34:0 ??? [259] 16.3% return/no-unsupplied [200] 15.4% ----------------------------------------------------------------------------------------- for-loop [46] 100.0% [73] 1312(0.1%) 1004(0.1%) reduce-to-single! ...lop/src/core/egraph.rkt:325:0 for-loop [92] 23.5% ----------------------------------------------------------------------------------------- pattern-match [53] 100.0% [74] 1074(0.1%) 0(0.0%) for-loop ...rbie/develop/src/core/matcher.rkt:66:9 pattern-match [53] 100.0% ----------------------------------------------------------------------------------------- ??? [55] 100.0% [75] 660(0.1%) 0(0.0%) unpack245 ...private/arrow-higher-order.rkt:354:44 maybe-cons-kwd [90] 100.0% ----------------------------------------------------------------------------------------- get-coeffs [57] 100.0% [76] 360(0.0%) 0(0.0%) listof .../racket/contract/private/guts.rkt:411:15 flat-contract? [249] 100.0% ----------------------------------------------------------------------------------------- simplify! [60] 99.3% [77] 588820(64.0%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:159:6 ??? [93] 100.0% ----------------------------------------------------------------------------------------- gen-series! [63] 100.0% [78] 100018(10.9%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:135:7 taylor-alt [95] 100.0% ----------------------------------------------------------------------------------------- match-e [62] 100.0% [79] 97790(10.6%) 33152(3.6%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [96] 55.5% list-cartesian-product [99] 8.3% loop [185] 3.0% curry* [106] 1.0% filter [221] 0.8% curried [205] 0.2% foldl [207] 0.1% ----------------------------------------------------------------------------------------- for-loop [102] 2.1% merge-egraph-nodes! [80] 3.9% for-loop [61] 94.0% [80] 92114(10.0%) 1942(0.2%) merge-egraph-nodes! ...p/src/core/egraph.rkt:153:0 update-leader! [97] 52.5% for-loop [98] 16.4% loop! [196] 16.4% merge-egraph-nodes! [80] 3.9% enode-merge! [104] 3.8% for-loop [102] 3.5% for-loop [36] 1.0% make-sequence [117] 0.4% ----------------------------------------------------------------------------------------- substitute-e [81] 5.6% for-loop [61] 94.4% [81] 73894(8.0%) 3034(0.3%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 mk-enode! [94] 88.9% substitute-e [81] 5.6% ??? [135] 1.7% variable? [12] 1.2% ----------------------------------------------------------------------------------------- loop [66] 20.2% argmin [64] 79.8% [82] 59430(6.5%) 1700(0.2%) for-loop .../herbie/develop/src/programs.rkt:208:2 ??? [174] 70.8% ...velop/src/common.rkt:47:2 [138] 24.2% ??? [136] 2.2% ----------------------------------------------------------------------------------------- parse-loop12 [175] 0.4% simplify-node [67] 20.9% f137 [161] 78.7% [83] 13280(1.4%) 1632(0.2%) append-map ...acket/collects/racket/list.rkt:565:2 f137 [161] 56.2% parse-loop12 [175] 28.8% free-variables [261] 7.5% loop [185] 0.4% ----------------------------------------------------------------------------------------- ormap [54] 3.4% for-loop [61] 96.6% [84] 9478(1.0%) 630(0.1%) list-member? ...llects/racket/private/set.rkt:24:0 loop [100] 79.0% member [105] 14.3% ----------------------------------------------------------------------------------------- loop [66] 13.3% argmin [64] 86.7% [85] 7766(0.8%) 310(0.0%) expression-cost .../develop/src/programs.rkt:207:0 compile [101] 96.0% ----------------------------------------------------------------------------------------- gen-rewrites! [68] 100.0% [86] 5008(0.5%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:147:11 ??? [103] 100.0% ----------------------------------------------------------------------------------------- setfindf [35] 10.5% match-e [62] 89.5% [87] 2936(0.3%) 2936(0.3%) custom-in-set ...acket/private/set-types.rkt:577:0 ----------------------------------------------------------------------------------------- debug-print [71] 100.0% [88] 1662(0.2%) 1662(0.2%) for-loop ...ies/herbie/develop/src/debug.rkt:113:2 ----------------------------------------------------------------------------------------- simplify-node [67] 100.0% [89] 1006(0.1%) 346(0.0%) combine-aterms ...evelop/src/core/reduce.rkt:183:0 for-loop [107] 65.6% ----------------------------------------------------------------------------------------- unpack245 [75] 100.0% [90] 660(0.1%) 324(0.0%) maybe-cons-kwd ...ate/arrow-higher-order.rkt:498:0 arrow-higher-order:lnp [225] 50.9% ----------------------------------------------------------------------------------------- simplify-node [67] 100.0% [91] 312(0.0%) 0(0.0%) make-addition-node* ...p/src/core/reduce.rkt:222:0 make-addition-node [108] 100.0% ----------------------------------------------------------------------------------------- reduce-to-single! [73] 100.0% [92] 308(0.0%) 308(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:329:21 ----------------------------------------------------------------------------------------- for-loop [77] 21.8% run [24] 32.5% [93] 910852(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 ??? [174] 34.7% profile-thunk16 [1] 32.5% run-improve50 [2] 30.5% loop [112] 2.3% ----------------------------------------------------------------------------------------- mk-egraph [190] 0.2% mk-enode-rec! [204] 2.0% substitute-e [81] 37.2% for-loop [61] 60.6% [94] 176738(19.2%) 14422(1.6%) mk-enode! ...bie/develop/src/core/egraph.rkt:102:0 new-enode [109] 89.0% hash-has-key? [141] 2.9% ----------------------------------------------------------------------------------------- for-loop [78] 100.0% [95] 100018(10.9%) 0(0.0%) taylor-alt ...es/herbie/develop/src/glue.rkt:134:0 for-loop [110] 100.0% ----------------------------------------------------------------------------------------- match-e [62] 31.8% for-loop [79] 68.2% [96] 80048(8.7%) 4012(0.4%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [62] 92.1% ??? [114] 3.1% ----------------------------------------------------------------------------------------- for-loop [46] 16.1% merge-egraph-nodes! [80] 83.9% [97] 61280(6.7%) 6306(0.7%) update-leader! ...evelop/src/core/egraph.rkt:218:0 for-loop [111] 87.5% make-sequence [117] 0.6% update-en-expr [215] 0.6% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [80] 100.0% [98] 15254(1.7%) 11918(1.3%) for-loop ...rbie/develop/src/core/egraph.rkt:233:6 update-en-expr [215] 21.9% ----------------------------------------------------------------------------------------- match-e [62] 15.1% list-cartesian-product [99] 26.7% for-loop [79] 58.2% [99] 12252(1.3%) 9282(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [99] 26.7% for-loop [115] 18.9% ----------------------------------------------------------------------------------------- list-member? [84] 100.0% [100] 7488(0.8%) 7488(0.8%) loop (unknown source) ----------------------------------------------------------------------------------------- expression-cost [85] 100.0% [101] 7456(0.8%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:184:0 hash-ref! [212] 100.0% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [80] 100.0% [102] 5244(0.6%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:201:10 merge-egraph-nodes! [80] 76.7% loop! [196] 23.3% ----------------------------------------------------------------------------------------- for-loop [86] 100.0% [103] 5008(0.5%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:88:0 rewriter [113] 100.0% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [80] 100.0% [104] 3532(0.4%) 1642(0.2%) enode-merge! ...e/develop/src/core/enode.rkt:129:0 adopt-enode! [116] 44.1% custom-set-intersect! [120] 9.4% ----------------------------------------------------------------------------------------- list-member? [84] 100.0% [105] 1360(0.1%) 1360(0.1%) member (unknown source) ----------------------------------------------------------------------------------------- match-e [62] 26.5% for-loop [79] 73.5% [106] 1350(0.1%) 690(0.1%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [118] 48.9% ----------------------------------------------------------------------------------------- combine-aterms [89] 100.0% [107] 660(0.1%) 298(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:185:4 hash-ref! [212] 54.8% ----------------------------------------------------------------------------------------- make-addition-node* [91] 100.0% [108] 312(0.0%) 0(0.0%) make-addition-node ...op/src/core/reduce.rkt:208:0 partition [119] 100.0% ----------------------------------------------------------------------------------------- mk-enode! [94] 100.0% [109] 157232(17.1%) 1012(0.1%) new-enode ...erbie/develop/src/core/enode.rkt:97:0 type-of-enode-expr [121] 97.7% set [214] 1.7% ----------------------------------------------------------------------------------------- taylor-alt [95] 100.0% [110] 100018(10.9%) 0(0.0%) for-loop ...lies/herbie/develop/src/glue.rkt:139:6 ??? [167] 100.0% ----------------------------------------------------------------------------------------- update-leader! [97] 100.0% [111] 53620(5.8%) 662(0.1%) for-loop ...rbie/develop/src/core/egraph.rkt:223:6 for-loop [122] 98.8% ----------------------------------------------------------------------------------------- run-improve50 [2] 4.5% ??? [93] 95.5% [112] 43868(4.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:205:2 loop [123] 37.6% loop [131] 31.7% make-exacts* [130] 29.9% for-loop [127] 0.8% ----------------------------------------------------------------------------------------- ??? [103] 30.0% matcher [132] 70.0% [113] 5008(0.5%) 334(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [124] 77.5% *rules* [16] 13.4% f137 [161] 4.5% expression->type [262] 2.4% ----------------------------------------------------------------------------------------- for-loop [47] 10.4% for-loop [96] 89.6% [114] 2972(0.3%) 1318(0.1%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 for-loop [125] 55.7% ----------------------------------------------------------------------------------------- list-cartesian-product [99] 100.0% [115] 2970(0.3%) 2970(0.3%) for-loop ...erbie/develop/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------------------------- enode-merge! [104] 100.0% [116] 1558(0.2%) 598(0.1%) adopt-enode! ...e/develop/src/core/enode.rkt:105:0 custom-set-union [213] 61.6% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [80] 24.2% update-leader! [97] 26.2% for-loop [50] 49.6% [117] 1372(0.1%) 1012(0.1%) make-sequence ...ects/racket/private/for.rkt:509:2 ??? [126] 26.2% ----------------------------------------------------------------------------------------- curry* [106] 100.0% [118] 660(0.1%) 660(0.1%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------------------------- make-addition-node [108] 49.4% simplify-node [67] 50.6% [119] 632(0.1%) 632(0.1%) partition ...racket/collects/racket/list.rkt:547:0 ----------------------------------------------------------------------------------------- enode-merge! [104] 100.0% [120] 332(0.0%) 332(0.0%) custom-set-intersect! ...ivate/set-types.rkt:269:0 ----------------------------------------------------------------------------------------- new-enode [109] 100.0% [121] 153540(16.7%) 1316(0.1%) type-of-enode-expr ...elop/src/core/enode.rkt:68:0 get-sigs [128] 99.1% ----------------------------------------------------------------------------------------- for-loop [111] 100.0% [122] 52958(5.8%) 306(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:224:8 hash-update! [129] 99.4% ----------------------------------------------------------------------------------------- loop [112] 100.0% [123] 16478(1.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:158:2 make-exacts* [130] 56.6% loop [131] 41.1% loop [133] 2.3% ----------------------------------------------------------------------------------------- rewriter [113] 100.0% [124] 5008(0.5%) 324(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [132] 98.4% ----------------------------------------------------------------------------------------- ??? [114] 100.0% [125] 1654(0.2%) 684(0.1%) for-loop ...erbie/develop/src/core/ematch.rkt:51:7 ??? [135] 58.6% ----------------------------------------------------------------------------------------- make-sequence [117] 100.0% [126] 360(0.0%) 360(0.0%) ??? ...acket/collects/racket/private/for.rkt:429:7 ----------------------------------------------------------------------------------------- loop [112] 100.0% [127] 330(0.0%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:222:26 for-loop [134] 100.0% ----------------------------------------------------------------------------------------- type-of-enode-expr [121] 100.0% [128] 152224(16.6%) 4222(0.5%) get-sigs .../herbie/develop/src/type-check.rkt:5:0 ??? [136] 36.8% ??? [174] 31.0% ??? [135] 15.0% ...velop/src/common.rkt:47:2 [138] 14.5% ----------------------------------------------------------------------------------------- for-loop [122] 100.0% [129] 52652(5.7%) 336(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [137] 99.4% ----------------------------------------------------------------------------------------- loop [123] 41.5% loop [112] 58.5% [130] 22464(2.4%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:138:0 loop [185] 77.5% eval-prog [160] 22.5% ----------------------------------------------------------------------------------------- loop [123] 32.7% loop [112] 67.3% [131] 20694(2.3%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:141:4 loop [185] 96.7% ??? [162] 3.3% ----------------------------------------------------------------------------------------- matcher [132] 21.0% for-loop [139] 30.2% for-loop [124] 48.8% [132] 5008(0.5%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:167:2 rewriter [113] 45.9% for-loop [139] 30.2% matcher [132] 21.0% for-loop [23] 2.9% ----------------------------------------------------------------------------------------- loop [123] 0.2% loop [133] 99.8% [133] 380(0.0%) 380(0.0%) loop ...htlies/herbie/develop/src/points.rkt:130:2 loop [133] 99.8% ----------------------------------------------------------------------------------------- for-loop [127] 100.0% [134] 330(0.0%) 330(0.0%) for-loop ...s/herbie/develop/src/points.rkt:223:28 ----------------------------------------------------------------------------------------- expression->type [262] 0.6% f137 [161] 0.6% debug7 [70] 0.7% free-variables [261] 0.7% pattern-match [53] 0.7% ??? [263] 0.8% for-loop [125] 0.9% setfindf [35] 1.0% substitute-e [81] 2.8% variable? [12] 17.0% get-sigs [128] 21.7% match-e [62] 23.9% finalize-iter! [65] 26.8% [135] 105206(11.4%) 38334(4.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 hash-has-key? [141] 33.8% for-loop [143] 25.9% atab-add-altns [147] 1.0% ??? [263] 0.6% ----------------------------------------------------------------------------------------- ??? [167] 0.6% f137 [161] 1.1% for-loop [82] 2.2% get-sigs [128] 96.0% [136] 58330(6.3%) 2290(0.2%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 ??? [142] 54.0% for-loop [144] 30.1% get/build-late-neg-projection [158] 10.4% ??? [222] 1.1% ----------------------------------------------------------------------------------------- hash-update! [129] 100.0% [137] 52316(5.7%) 1016(0.1%) ??? ...s/herbie/develop/src/core/egraph.rkt:226:24 for-loop [140] 98.1% ----------------------------------------------------------------------------------------- f137 [161] 1.7% ??? [167] 2.6% for-loop [82] 37.8% get-sigs [128] 57.9% [138] 38044(4.1%) 10820(1.2%) ...velop/src/common.rkt:47:2 ...e/arr-i.rkt:906:19 ??? [145] 36.9% ??? [146] 32.0% coerce-contract [148] 2.6% ----------------------------------------------------------------------------------------- matcher [132] 100.0% [139] 5008(0.5%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:183:21 matcher [132] 100.0% ----------------------------------------------------------------------------------------- ??? [137] 100.0% [140] 51300(5.6%) 41506(4.5%) for-loop ...bie/develop/src/core/egraph.rkt:227:26 update-en-expr [215] 19.1% ----------------------------------------------------------------------------------------- mk-enode! [94] 12.4% ??? [135] 87.6% [141] 40858(4.4%) 15420(1.7%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [186] 59.7% ??? [193] 2.5% ----------------------------------------------------------------------------------------- ??? [136] 100.0% [142] 31486(3.4%) 3744(0.4%) ??? ...ects/racket/contract/private/hash.rkt:217:4 ??? [150] 88.1% ----------------------------------------------------------------------------------------- ??? [135] 100.0% [143] 27372(3.0%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [149] 100.0% ----------------------------------------------------------------------------------------- for-loop [197] 27.3% ??? [136] 72.7% [144] 24174(2.6%) 3636(0.4%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [198] 82.2% ??? [267] 2.7% ----------------------------------------------------------------------------------------- ...velop/src/common.rkt:47:2 [138] 100.0% [145] 14052(1.5%) 3794(0.4%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 ??? [259] 41.1% assoc-ref [151] 16.4% return/no-unsupplied [200] 15.5% ----------------------------------------------------------------------------------------- for-loop [223] 2.7% ??? [198] 16.2% ...velop/src/common.rkt:47:2 [138] 81.1% [146] 12192(1.3%) 1954(0.2%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [198] 67.5% ??? [263] 12.2% ??? [222] 11.0% ----------------------------------------------------------------------------------------- ??? [135] 100.0% [147] 1020(0.1%) 0(0.0%) atab-add-altns ...elop/src/core/alt-table.rkt:50:0 atab-add-altn [149] 100.0% ----------------------------------------------------------------------------------------- ...velop/src/common.rkt:47:2 [138] 100.0% [148] 980(0.1%) 980(0.1%) coerce-contract ...contract/private/guts.rkt:257:0 ----------------------------------------------------------------------------------------- atab-add-altns [147] 3.6% for-loop [143] 96.4% [149] 28392(3.1%) 334(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:208:0 best-and-tied-at-points [152] 91.9% override-at-pnts [154] 6.9% ----------------------------------------------------------------------------------------- ??? [142] 100.0% [150] 27742(3.0%) 2626(0.3%) ??? ...ects/racket/contract/private/list.rkt:169:2 ??? [153] 90.5% ----------------------------------------------------------------------------------------- ??? [145] 100.0% [151] 2298(0.2%) 2298(0.2%) assoc-ref ...collects/racket/private/dict.rkt:56:0 ----------------------------------------------------------------------------------------- atab-add-altn [149] 100.0% [152] 26100(2.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [155] 98.9% ----------------------------------------------------------------------------------------- ??? [150] 100.0% [153] 25116(2.7%) 2716(0.3%) ??? ...ects/racket/contract/private/list.rkt:678:5 for-loop [156] 89.2% ----------------------------------------------------------------------------------------- atab-add-altn [149] 100.0% [154] 1958(0.2%) 322(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 errors [155] 83.6% ----------------------------------------------------------------------------------------- override-at-pnts [154] 3.9% composed [202] 5.7% option-on-expr [199] 7.1% loop [185] 20.7% best-and-tied-at-points [152] 61.8% [155] 41738(4.5%) 324(0.0%) errors ...lies/herbie/develop/src/points.rkt:241:0 for-loop [157] 85.5% eval-prog [160] 13.7% ----------------------------------------------------------------------------------------- ??? [153] 100.0% [156] 22400(2.4%) 3586(0.4%) for-loop ...racket/contract/private/list.rkt:680:9 add-list-context [159] 51.4% get/build-late-neg-projection [158] 32.6% ----------------------------------------------------------------------------------------- errors [155] 100.0% [157] 35684(3.9%) 1602(0.2%) for-loop ...es/herbie/develop/src/points.rkt:244:4 ??? [162] 84.6% ??? [167] 5.5% ulp-difference [166] 2.7% ??? [266] 1.9% ----------------------------------------------------------------------------------------- listof-late-neg-projection [165] 2.5% ??? [164] 17.5% ??? [136] 25.3% for-loop [156] 54.7% [158] 13350(1.5%) 2354(0.3%) get/build-late-neg-projection ...te/guts.rkt:691:0 ??? [163] 63.5% ??? [164] 22.6% listof-late-neg-projection [165] 2.5% ----------------------------------------------------------------------------------------- for-loop [156] 100.0% [159] 11514(1.3%) 11514(1.3%) add-list-context ...ontract/private/list.rkt:752:0 ----------------------------------------------------------------------------------------- sindices->spoints [227] 5.8% make-exacts* [130] 44.1% errors [155] 50.1% [160] 11434(1.2%) 2410(0.3%) eval-prog ...herbie/develop/src/programs.rkt:148:0 hash-ref! [212] 41.1% f137 [161] 34.9% parse-app [188] 2.9% ----------------------------------------------------------------------------------------- for-loop [189] 0.2% ??? [191] 0.3% mterm->expr [257] 0.3% for-loop [265] 0.4% rewriter [113] 0.6% simplify-node [67] 0.7% approximate9 [4] 0.9% composed [202] 1.0% hash-ref! [212] 1.2% eval-const-expr [38] 1.3% eval-prog [160] 1.3% loop [185] 2.6% append-map [83] 4.1% f137 [161] 7.2% parse-loop12 [175] 8.1% simplify [48] 18.3% split-table [52] 23.0% map [168] 28.3% [161] 99610(10.8%) 12068(1.3%) f137 .../collects/racket/match/compiler.rkt:507:40 map [168] 50.7% loop [185] 20.4% f137 [161] 7.2% append-map [83] 5.2% option-on-expr [199] 2.3% ??? [167] 1.3% ??? [174] 1.1% parse-app [188] 1.0% composed [202] 1.0% taylor [15] 0.8% ??? [135] 0.7% ...velop/src/common.rkt:47:2 [138] 0.5% ??? [136] 0.5% parse-loop12 [175] 0.4% loop [172] 0.4% exprs-to-branch-on [173] 0.3% compose [241] 0.2% taylor-invert [20] 0.2% combine-mterms [21] 0.1% ----------------------------------------------------------------------------------------- loop [131] 0.9% jloop [22] 1.3% ??? [252] 1.7% loop [260] 9.3% for-loop [157] 39.8% loop [185] 47.0% [162] 75788(8.2%) 3080(0.3%) ??? ...tlies/herbie/develop/src/programs.rkt:154:4 ??? [169] 79.2% ??? [171] 10.2% ??? [167] 6.5% ----------------------------------------------------------------------------------------- get/build-late-neg-projection [158] 100.0% [163] 10312(1.1%) 1672(0.2%) ??? ...cts/racket/contract/private/prop.rkt:314:12 build-compound-type-name [170] 83.8% ----------------------------------------------------------------------------------------- get/build-late-neg-projection [158] 100.0% [164] 5690(0.6%) 684(0.1%) ??? ...ects/racket/contract/private/hash.rkt:211:2 get/build-late-neg-projection [158] 88.0% ----------------------------------------------------------------------------------------- get/build-late-neg-projection [158] 100.0% [165] 1012(0.1%) 0(0.0%) listof-late-neg-projection ...ivate/list.rkt:162:0 get/build-late-neg-projection [158] 100.0% ----------------------------------------------------------------------------------------- for-loop [157] 100.0% [166] 948(0.1%) 316(0.0%) ulp-difference ...erbie/develop/src/float.rkt:19:0 return/no-unsupplied [200] 34.2% ??? [259] 32.5% ----------------------------------------------------------------------------------------- ??? [252] 0.3% loop [260] 0.8% loop [185] 1.2% for-loop [157] 1.7% f137 [161] 3.5% ??? [162] 4.3% ??? [10] 11.7% loop [27] 16.3% ??? [174] 29.3% for-loop [110] 29.3% [167] 115342(12.5%) 2244(0.2%) ??? ...tract/private/arrow-higher-order.rkt:342:33 ??? [174] 37.2% approximate9 [4] 29.3% hash-ref! [212] 28.0% best-alt [180] 1.5% ??? [263] 0.9% ...velop/src/common.rkt:47:2 [138] 0.8% ??? [136] 0.3% ----------------------------------------------------------------------------------------- parse-loop12 [175] 7.1% f137 [161] 91.5% [168] 64198(7.0%) 1622(0.2%) map ...acket/collects/racket/private/map.rkt:20:13 f137 [161] 52.3% parse-loop12 [175] 31.2% simplify-node [67] 4.8% loop [185] 3.4% ??? [191] 2.7% simplify* [187] 2.4% make-multiplication-node [201] 0.7% ??? [18] 0.6% taylor-sqrt [208] 0.1% ----------------------------------------------------------------------------------------- ??? [162] 100.0% [169] 60060(6.5%) 30586(3.3%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [218] 16.3% ??? [178] 10.4% bf* [203] 10.3% ??? [179] 4.3% for-loop [181] 2.9% ...higher-order.rkt:346:33 [182] 2.6% ??? [267] 1.6% parse-loop12 [175] 0.6% ----------------------------------------------------------------------------------------- contract-struct-name [177] 20.8% ??? [163] 79.2% [170] 8640(0.9%) 3966(0.4%) build-compound-type-name ...private/guts.rkt:448:0 contract-struct-name [177] 69.4% ----------------------------------------------------------------------------------------- ??? [162] 100.0% [171] 7742(0.8%) 300(0.0%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [176] 96.1% ----------------------------------------------------------------------------------------- f137 [161] 100.0% [172] 1362(0.1%) 642(0.1%) loop ...es/herbie/develop/src/core/reduce.rkt:18:2 expression->type [262] 52.9% ----------------------------------------------------------------------------------------- f137 [161] 100.0% [173] 300(0.0%) 0(0.0%) exprs-to-branch-on ...op/src/core/regimes.rkt:55:0 for-loop [183] 100.0% ----------------------------------------------------------------------------------------- simplify-alt [59] 0.0% f137 [161] 0.1% for-loop [82] 1.7% get-sigs [128] 1.9% ??? [174] 5.5% ??? [167] 10.4% for-loop [184] 38.9% ??? [93] 41.3% [174] 819384(89.1%) 24376(2.7%) ??? ...llects/racket/private/norm-define.rkt:53:83 for-loop [184] 38.9% iterate-egraph!13 [3] 37.6% ??? [167] 9.3% ??? [174] 5.5% loop [8] 3.6% ??? [186] 2.7% ??? [259] 0.4% return/no-unsupplied [200] 0.3% mk-egraph [190] 0.2% dict? [269] 0.0% ??? [198] 0.0% ??? [193] 0.0% ----------------------------------------------------------------------------------------- ??? [169] 0.5% hash-ref! [212] 0.5% f137 [161] 2.3% for-loop [37] 2.7% loop [185] 4.1% append-map [83] 7.9% simplify [48] 18.5% parse-loop12 [175] 23.6% map [168] 39.9% [175] 72524(7.9%) 40474(4.4%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 parse-loop12 [175] 23.6% f137 [161] 16.0% loop [185] 9.6% map [168] 8.0% parse-app [188] 3.5% for-loop [189] 3.2% make-multiplication-node [201] 2.8% simplify* [187] 1.6% ??? [191] 0.5% append-map [83] 0.4% ----------------------------------------------------------------------------------------- ??? [171] 100.0% [176] 7442(0.8%) 3540(0.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [247] 52.4% ----------------------------------------------------------------------------------------- build-compound-type-name [170] 100.0% [177] 7324(0.8%) 4674(0.5%) contract-struct-name ...ract/private/prop.rkt:89:0 build-compound-type-name [170] 42.6% ----------------------------------------------------------------------------------------- ??? [169] 100.0% [178] 6274(0.7%) 3266(0.4%) ??? ...herbie/develop/src/syntax/syntax.rkt:155:17 return/no-unsupplied [200] 27.3% ??? [259] 20.7% ----------------------------------------------------------------------------------------- ??? [169] 100.0% [179] 2594(0.3%) 2594(0.3%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 ----------------------------------------------------------------------------------------- ??? [167] 100.0% [180] 1742(0.2%) 0(0.0%) best-alt ...tlies/herbie/develop/src/glue.rkt:71:0 loop [192] 100.0% ----------------------------------------------------------------------------------------- ??? [169] 100.0% [181] 1726(0.2%) 706(0.1%) for-loop ...ie/develop/src/syntax/syntax.rkt:530:2 bf< [194] 59.1% ----------------------------------------------------------------------------------------- ??? [169] 100.0% [182] 1580(0.2%) 1236(0.1%) ...higher-order.rkt:346:33 (unknown source) ??? [198] 21.8% ----------------------------------------------------------------------------------------- exprs-to-branch-on [173] 100.0% [183] 300(0.0%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:57:27 all-critical-subexpressions [195] 100.0% ----------------------------------------------------------------------------------------- ??? [174] 100.0% [184] 664226(72.2%) 350(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:66:12 ??? [174] 99.9% ----------------------------------------------------------------------------------------- make-exacts* [130] 0.1% loop [131] 0.2% append-map [83] 0.2% taylor [15] 0.8% match-e [62] 0.9% map-enodes [34] 1.1% for-loop [79] 1.5% option-on-expr [199] 2.0% map [168] 2.1% ??? [14] 2.2% parse-loop12 [175] 7.5% f137 [161] 7.7% loop! [196] 8.5% loop [185] 65.3% [185] 165196(18.0%) 8574(0.9%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [185] 65.3% loop! [196] 7.9% option-on-expr [199] 7.7% parse-loop12 [175] 6.0% f137 [161] 3.6% hash-ref! [212] 2.2% errors [155] 2.0% for-loop [13] 1.1% simplify [48] 0.8% curried [205] 0.7% ??? [162] 0.3% foldl [207] 0.2% ??? [191] 0.0% bf* [203] 0.0% ??? [167] 0.0% ----------------------------------------------------------------------------------------- hash-has-key? [141] 27.7% ??? [174] 72.3% [186] 88006(9.6%) 35420(3.9%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [197] 43.1% ??? [216] 13.6% ??? [198] 1.9% arrow-higher-order:lnp [225] 0.7% successfully-got-the-right-kind-of-function [226] 0.4% ----------------------------------------------------------------------------------------- simplify [48] 6.8% parse-loop12 [175] 16.6% map [168] 76.6% [187] 10228(1.1%) 4290(0.5%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 hash-ref! [212] 28.7% return/no-unsupplied [200] 23.1% ??? [209] 6.3% ----------------------------------------------------------------------------------------- eval-prog [160] 5.6% f137 [161] 23.7% parse-loop12 [175] 70.6% [188] 5804(0.6%) 5458(0.6%) parse-app .../collects/racket/private/kw.rkt:951:2 loop [210] 6.0% ----------------------------------------------------------------------------------------- parse-loop12 [175] 100.0% [189] 4064(0.4%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:99:13 make-multiplication-node [201] 65.9% f137 [161] 34.1% ----------------------------------------------------------------------------------------- ??? [174] 100.0% [190] 3912(0.4%) 0(0.0%) mk-egraph ...bie/develop/src/core/egraph.rkt:131:0 mk-enode-rec! [204] 91.5% mk-enode! [94] 8.5% ----------------------------------------------------------------------------------------- taylor-invert [20] 5.2% loop [185] 8.9% for-loop [31] 10.3% parse-loop12 [175] 11.8% map [168] 63.8% [191] 3044(0.3%) 314(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f137 [161] 49.8% curried [205] 17.0% hash-ref! [212] 11.8% taylor-sqrt [208] 11.1% ----------------------------------------------------------------------------------------- extract-alt [56] 26.7% best-alt [180] 73.3% [192] 2376(0.3%) 0(0.0%) loop ...htlies/herbie/develop/src/common.rkt:151:2 composed [202] 100.0% ----------------------------------------------------------------------------------------- ??? [174] 25.3% hash-has-key? [141] 74.7% [193] 1384(0.2%) 1384(0.2%) ??? ...ects/racket/contract/private/hash.rkt:245:7 ----------------------------------------------------------------------------------------- for-loop [181] 100.0% [194] 1020(0.1%) 0(0.0%) bf< ...th/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [206] 100.0% ----------------------------------------------------------------------------------------- for-loop [183] 100.0% [195] 300(0.0%) 0(0.0%) all-critical-subexpressions ...re/regimes.rkt:71:0 loop [211] 100.0% ----------------------------------------------------------------------------------------- for-loop [102] 0.9% merge-egraph-nodes! [80] 11.9% loop [185] 31.2% for-loop [61] 56.0% [196] 100190(10.9%) 20442(2.2%) loop! ...s/herbie/develop/src/core/enode.rkt:192:2 loop [185] 36.0% custom-set-union [213] 33.6% set [214] 14.5% update-en-expr [215] 4.8% ----------------------------------------------------------------------------------------- ??? [186] 100.0% [197] 37940(4.1%) 18726(2.0%) for-loop ...acket/contract/private/list.rkt:743:12 ??? [216] 24.5% for-loop [144] 17.4% ??? [222] 5.2% ??? [263] 1.8% successfully-got-the-right-kind-of-function [226] 0.9% arrow-higher-order:lnp [225] 0.9% ----------------------------------------------------------------------------------------- ...higher-order.rkt:346:33 [182] 1.0% ??? [174] 1.8% ??? [186] 5.0% ??? [146] 31.9% for-loop [144] 60.2% [198] 33010(3.6%) 7578(0.8%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [217] 57.1% ??? [146] 12.0% for-loop [223] 5.0% ??? [267] 3.0% ----------------------------------------------------------------------------------------- f137 [161] 10.7% loop [185] 89.3% [199] 24128(2.6%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:103:0 sort-context-on-expr [219] 38.5% loop [185] 37.0% errors [155] 12.3% pick-errors [224] 6.7% sindices->spoints [227] 2.7% err-lsts->split-indices [228] 2.7% ----------------------------------------------------------------------------------------- flag-set? [72] 3.0% debug7 [70] 3.1% ulp-difference [166] 3.2% ??? [178] 16.7% ??? [145] 21.3% simplify* [187] 23.0% ??? [174] 29.7% [200] 10262(1.1%) 7754(0.8%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [221] 24.4% ----------------------------------------------------------------------------------------- simplify [48] 4.5% map [168] 26.6% parse-loop12 [175] 32.3% for-loop [189] 36.6% [201] 7322(0.8%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:230:0 make-multiplication-subnode [220] 100.0% ----------------------------------------------------------------------------------------- loop [192] 34.1% f137 [161] 65.9% [202] 6972(0.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f137 [161] 65.9% errors [155] 34.1% ----------------------------------------------------------------------------------------- loop [185] 5.5% ??? [169] 94.5% [203] 6554(0.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [218] 100.0% ----------------------------------------------------------------------------------------- mk-enode-rec! [204] 48.5% mk-egraph [190] 51.5% [204] 3578(0.4%) 0(0.0%) mk-enode-rec! ...develop/src/core/egraph.rkt:122:0 mk-enode! [94] 51.5% mk-enode-rec! [204] 48.5% ----------------------------------------------------------------------------------------- for-loop [79] 12.0% ??? [191] 26.1% loop [185] 61.9% [205] 2590(0.3%) 2590(0.3%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------------------------- bf< [194] 100.0% [206] 1020(0.1%) 1020(0.1%) ??? ...tract/private/arrow-higher-order.rkt:346:33 ----------------------------------------------------------------------------------------- for-loop [79] 31.5% loop [185] 68.5% [207] 990(0.1%) 346(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [229] 65.1% ----------------------------------------------------------------------------------------- map [168] 47.8% ??? [191] 52.2% [208] 648(0.1%) 0(0.0%) taylor-sqrt ...e/develop/src/core/taylor.rkt:346:0 simplify [48] 52.2% hash-ref! [212] 47.8% ----------------------------------------------------------------------------------------- simplify* [187] 100.0% [209] 644(0.1%) 324(0.0%) ??? ...racket/collects/racket/private/kw.rkt:762:9 ??? [264] 49.7% ----------------------------------------------------------------------------------------- parse-app [188] 100.0% [210] 346(0.0%) 346(0.0%) loop .../collects/racket/private/stxcase.rkt:112:7 ----------------------------------------------------------------------------------------- all-critical-subexpressions [195] 11.1% loop [211] 88.9% [211] 300(0.0%) 300(0.0%) loop ...are/racket/collects/racket/list.rkt:431:28 loop [211] 88.9% ----------------------------------------------------------------------------------------- for-loop [41] 0.0% for-loop [107] 0.1% first-nonzero-exp [44] 0.1% taylor-sqrt [208] 0.1% for-loop [40] 0.2% ??? [191] 0.3% ??? [17] 0.3% ??? [5] 0.4% simplify* [187] 0.6% ??? [10] 1.1% eval-prog [160] 2.0% loop [185] 2.3% for-loop [51] 2.9% ??? [14] 3.3% compile [101] 3.4% for-loop [31] 5.9% for-loop [28] 7.1% loop [27] 7.4% ??? [167] 12.4% for-loop [29] 16.0% ??? [49] 33.7% [212] 110208(12.0%) 11718(1.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [6] 32.6% ??? [7] 16.2% ??? [5] 10.7% simplify [48] 8.7% ??? [10] 8.4% ??? [9] 5.9% ??? [14] 5.7% ??? [11] 2.9% bigfloat-hash [235] 1.9% f137 [161] 1.8% ??? [17] 0.5% parse-loop12 [175] 0.3% ??? [19] 0.1% ----------------------------------------------------------------------------------------- adopt-enode! [116] 2.6% loop! [196] 97.4% [213] 36696(4.0%) 11062(1.2%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [230] 62.4% for-loop [237] 7.4% ----------------------------------------------------------------------------------------- new-enode [109] 8.4% loop! [196] 91.6% [214] 31886(3.5%) 31886(3.5%) set ...collects/racket/private/set-types.rkt:981:0 ----------------------------------------------------------------------------------------- update-leader! [97] 1.5% for-loop [98] 14.3% for-loop [140] 42.0% loop! [196] 42.1% [215] 23308(2.5%) 23008(2.5%) update-en-expr ...evelop/src/core/egraph.rkt:212:0 ----------------------------------------------------------------------------------------- for-loop [197] 43.6% ??? [186] 56.4% [216] 21302(2.3%) 11314(1.2%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [232] 46.9% ----------------------------------------------------------------------------------------- ??? [198] 100.0% [217] 18854(2.0%) 956(0.1%) ??? ...ects/racket/contract/private/list.rkt:686:7 ??? [263] 86.0% ??? [267] 8.9% ----------------------------------------------------------------------------------------- bf* [203] 40.1% ??? [169] 59.9% [218] 16338(1.8%) 1534(0.2%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [231] 81.9% bfsqrt [240] 8.7% ----------------------------------------------------------------------------------------- option-on-expr [199] 100.0% [219] 9298(1.0%) 0(0.0%) sort-context-on-expr ...velop/src/points.rkt:115:0 ??? [233] 100.0% ----------------------------------------------------------------------------------------- make-multiplication-node [201] 100.0% [220] 7322(0.8%) 334(0.0%) make-multiplication-subnode ...re/reduce.rkt:240:0 for-loop [234] 68.1% group-by68 [238] 22.8% compose [241] 4.5% ----------------------------------------------------------------------------------------- for-loop [50] 7.5% match-e [62] 15.0% for-loop [79] 21.5% return/no-unsupplied [200] 56.0% [221] 4478(0.5%) 4478(0.5%) filter ...t/collects/racket/private/list.rkt:256:2 ----------------------------------------------------------------------------------------- ??? [136] 16.0% ??? [146] 33.9% for-loop [197] 50.2% [222] 3948(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:222:6 check-hash/c [236] 100.0% ----------------------------------------------------------------------------------------- ??? [198] 100.0% [223] 1650(0.2%) 1000(0.1%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [146] 39.4% ----------------------------------------------------------------------------------------- option-on-expr [199] 100.0% [224] 1620(0.2%) 0(0.0%) pick-errors .../develop/src/core/regimes.rkt:184:0 for-loop [239] 100.0% ----------------------------------------------------------------------------------------- for-loop [197] 26.0% maybe-cons-kwd [90] 26.3% ??? [186] 47.7% [225] 1278(0.1%) 668(0.1%) arrow-higher-order:lnp ...w-higher-order.rkt:597:7 ??? [243] 47.7% ----------------------------------------------------------------------------------------- for-loop [197] 47.6% ??? [186] 52.4% [226] 706(0.1%) 370(0.0%) successfully-got-the-right-kind-of-function ...9:4 arity-checking-wrapper [244] 47.6% ----------------------------------------------------------------------------------------- option-on-expr [199] 100.0% [227] 658(0.1%) 0(0.0%) sindices->spoints ...op/src/core/regimes.rkt:116:0 eval-prog [160] 100.0% ----------------------------------------------------------------------------------------- option-on-expr [199] 100.0% [228] 652(0.1%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:222:0 add-splitpoint [242] 100.0% ----------------------------------------------------------------------------------------- foldl [207] 100.0% [229] 644(0.1%) 644(0.1%) merge2 .../herbie/develop/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------------------------- custom-set-union [213] 100.0% [230] 22914(2.5%) 7622(0.8%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [245] 66.7% ----------------------------------------------------------------------------------------- ??? [218] 100.0% [231] 13386(1.5%) 9734(1.1%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [247] 27.3% ----------------------------------------------------------------------------------------- ??? [216] 100.0% [232] 9988(1.1%) 9988(1.1%) make-keyword-procedure ...ket/private/kw.rkt:260:4 ----------------------------------------------------------------------------------------- sort-context-on-expr [219] 100.0% [233] 9298(1.0%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [246] 89.7% loop [260] 10.3% ----------------------------------------------------------------------------------------- make-multiplication-subnode [220] 100.0% [234] 4988(0.5%) 1682(0.2%) for-loop ...rbie/develop/src/core/reduce.rkt:242:3 make-multiplication-subsubsubnode [248] 53.4% mterm->expr [257] 12.9% ----------------------------------------------------------------------------------------- hash-ref! [212] 100.0% [235] 4406(0.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [250] 53.6% sig+exp->bigfloat [251] 46.4% ----------------------------------------------------------------------------------------- ??? [222] 100.0% [236] 3948(0.4%) 1660(0.2%) check-hash/c ...ket/contract/private/hash.rkt:83:0 flat-contract? [249] 58.0% ----------------------------------------------------------------------------------------- custom-set-union [213] 100.0% [237] 2720(0.3%) 2720(0.3%) for-loop ...cts/racket/private/set-types.rkt:152:2 ----------------------------------------------------------------------------------------- make-multiplication-subnode [220] 100.0% [238] 1668(0.2%) 1358(0.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [255] 18.6% ----------------------------------------------------------------------------------------- pick-errors [224] 100.0% [239] 1620(0.2%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:186:2 ??? [252] 100.0% ----------------------------------------------------------------------------------------- ??? [218] 100.0% [240] 1418(0.2%) 692(0.1%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [247] 51.2% ----------------------------------------------------------------------------------------- make-multiplication-subnode [220] 32.0% f137 [161] 68.0% [241] 1036(0.1%) 1036(0.1%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------------------------- err-lsts->split-indices [228] 100.0% [242] 652(0.1%) 0(0.0%) add-splitpoint ...velop/src/core/regimes.rkt:235:2 for-loop [253] 100.0% ----------------------------------------------------------------------------------------- arrow-higher-order:lnp [225] 100.0% [243] 610(0.1%) 610(0.1%) ??? ...et/contract/private/arity-checking.rkt:19:2 ----------------------------------------------------------------------------------------- successfully-got-the-right-kind-of-function [226]100.0% [244] 336(0.0%) 0(0.0%) arity-checking-wrapper ...w-higher-order.rkt:402:0 matches-arity-exactly? [254] 100.0% ----------------------------------------------------------------------------------------- for-loop [230] 100.0% [245] 15292(1.7%) 15292(1.7%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------------------------- ??? [233] 100.0% [246] 8342(0.9%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [256] 64.0% loop [260] 36.0% ----------------------------------------------------------------------------------------- bfsqrt [240] 8.8% bfmul [231] 44.1% real->bigfloat [176] 47.1% [247] 8280(0.9%) 8280(0.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------------------------- make-multiplication-subsubsubnode [248] 12.2% for-loop [234] 87.8% [248] 2664(0.3%) 0(0.0%) make-multiplication-subsubsubnode ...uce.rkt:262:0 mterm->expr [257] 87.8% make-multiplication-subsubsubnode [248] 12.2% ----------------------------------------------------------------------------------------- listof [76] 13.6% check-hash/c [236] 86.4% [249] 2648(0.3%) 2648(0.3%) flat-contract? .../contract/private/guts.rkt:111:0 ----------------------------------------------------------------------------------------- bigfloat-hash [235] 100.0% [250] 2362(0.3%) 2362(0.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------------------------- bigfloat-hash [235] 100.0% [251] 2044(0.2%) 2044(0.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------------------------- for-loop [239] 100.0% [252] 1620(0.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/regimes.rkt:177:2 ??? [162] 79.9% ??? [167] 20.1% ----------------------------------------------------------------------------------------- add-splitpoint [242] 100.0% [253] 652(0.1%) 324(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:237:4 for-loop [258] 50.3% ----------------------------------------------------------------------------------------- arity-checking-wrapper [244] 100.0% [254] 336(0.0%) 336(0.0%) matches-arity-exactly? ...te/arrow-common.rkt:70:0 ----------------------------------------------------------------------------------------- group-by68 [238] 100.0% [255] 310(0.0%) 310(0.0%) hash-update ...cket/private/more-scheme.rkt:356:13 ----------------------------------------------------------------------------------------- copying-mergesort [256] 47.7% generic-sort/key [246] 52.3% [256] 5338(0.6%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 loop [260] 47.8% copying-mergesort [256] 47.7% jloop [22] 4.5% ----------------------------------------------------------------------------------------- for-loop [234] 19.4% make-multiplication-subsubsubnode [248] 80.6% [257] 3306(0.4%) 1640(0.2%) mterm->expr ...e/develop/src/core/reduce.rkt:270:0 f137 [161] 20.7% free-variables [261] 10.5% ??? [259] 10.0% expression->type [262] 9.3% ----------------------------------------------------------------------------------------- for-loop [253] 100.0% [258] 328(0.0%) 328(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:241:8 ----------------------------------------------------------------------------------------- ulp-difference [166] 2.4% flag-set? [72] 2.6% mterm->expr [257] 2.6% debug7 [70] 5.2% ??? [178] 10.3% ??? [174] 30.9% ??? [145] 45.9% [259] 12580(1.4%) 2624(0.3%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [264] 66.7% ??? [263] 12.4% ----------------------------------------------------------------------------------------- ??? [233] 11.5% generic-sort/key [246] 36.0% copying-mergesort [256] 52.6% [260] 8346(0.9%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [162] 84.3% ??? [167] 11.7% ??? [266] 4.0% ----------------------------------------------------------------------------------------- mterm->expr [257] 11.5% append-map [83] 88.5% [261] 3006(0.3%) 978(0.1%) free-variables ...e/develop/src/programs.rkt:100:0 variable? [12] 44.4% ??? [135] 23.0% ----------------------------------------------------------------------------------------- loop [172] 15.2% mterm->expr [257] 22.1% rewriter [113] 26.0% for-loop [265] 36.7% [262] 1386(0.2%) 0(0.0%) expression->type ...evelop/src/type-check.rkt:45:0 for-loop [265] 71.6% ??? [135] 28.4% ----------------------------------------------------------------------------------------- ??? [135] 2.7% for-loop [197] 2.9% ??? [167] 4.3% ??? [259] 6.8% ??? [146] 12.9% ??? [217] 70.5% [263] 23020(2.5%) 18784(2.0%) ??? ...ects/racket/contract/private/guts.rkt:644:8 contract? [268] 8.7% dict? [269] 5.4% ??? [135] 4.3% ----------------------------------------------------------------------------------------- ??? [209] 3.7% ??? [259] 96.3% [264] 8716(0.9%) 8394(0.9%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ??? [270] 3.7% ----------------------------------------------------------------------------------------- expression->type [262] 100.0% [265] 1080(0.1%) 0(0.0%) for-loop ...herbie/develop/src/type-check.rkt:52:5 expression->type [262] 55.3% f137 [161] 44.7% ----------------------------------------------------------------------------------------- loop [260] 33.2% for-loop [157] 66.8% [266] 1012(0.1%) 676(0.1%) ??? ...tract/private/arrow-higher-order.rkt:145:21 ??? [267] 33.2% ----------------------------------------------------------------------------------------- ??? [266] 7.2% for-loop [144] 14.3% ??? [198] 21.0% ??? [169] 21.2% ??? [217] 36.2% [267] 4640(0.5%) 1998(0.2%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [271] 56.9% ----------------------------------------------------------------------------------------- ??? [263] 100.0% [268] 2012(0.2%) 2012(0.2%) contract? ...acket/contract/private/guts.rkt:109:0 ----------------------------------------------------------------------------------------- ??? [174] 33.9% ??? [263] 66.1% [269] 1872(0.2%) 1872(0.2%) dict? ...ollects/racket/private/generic.rkt:146:11 ----------------------------------------------------------------------------------------- ??? [264] 100.0% [270] 322(0.0%) 322(0.0%) ??? ...ects/racket/contract/private/prop.rkt:256:4 ----------------------------------------------------------------------------------------- ??? [267] 100.0% [271] 2642(0.3%) 1990(0.2%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [272] 24.7% ----------------------------------------------------------------------------------------- ??? [271] 100.0% [272] 652(0.1%) 652(0.1%) ??? ...ects/racket/contract/private/list.rkt:141:5 -----------------------------------------------------------------------------------------