Profiling results ----------------- Total cpu time observed: 294750ms (out of 297692ms) Number of samples taken: 1562 (once every 189ms) (Hiding functions with self<1.0% and local<2.0%: 14 of 289 hidden) ========================================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================================== ??? [67] 100.0% [1] 282486(95.8%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [16] 100.0% ------------------------------------------------------------------------------------------ ??? [67] 100.0% [2] 253994(86.2%) 0(0.0%) run-improve50 ...ock/herbie/src/mainloop.rkt:234:0 for-loop [17] 62.6% get-final-combination [18] 36.6% loop [133] 0.7% setup-prog [30] 0.1% ------------------------------------------------------------------------------------------ simplify-alt [44] 0.2% loop [226] 5.6% ??? [67] 94.2% [3] 108158(36.7%) 600(0.2%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [19] 50.4% for-loop [23] 28.9% iterate-egraph!5 [32] 17.4% loop [37] 2.8% ------------------------------------------------------------------------------------------ hash-ref! [235] 100.0% [4] 67702(23.0%) 374(0.1%) ??? /home/ztatlock/herbie/src/programs.rkt:181:5 loop [226] 98.2% hash-ref! [235] 1.4% ------------------------------------------------------------------------------------------ ??? [135] 0.4% map [152] 4.6% for-loop [248] 26.1% loop [226] 68.9% [5] 43788(14.9%) 3056(1.0%) ??? /home/ztatlock/herbie/src/programs.rkt:152:4 ??? [22] 72.2% ??? [188] 13.5% ->flonum [26] 7.3% ------------------------------------------------------------------------------------------ hash-ref! [235] 100.0% [6] 37386(12.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:43:15 ??? [35] 93.5% hash-ref! [235] 6.5% ------------------------------------------------------------------------------------------ hash-ref! [235] 100.0% [7] 34746(11.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:281:26 for-loop [20] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [235] 100.0% [8] 31786(10.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:291:23 for-loop [21] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [235] 100.0% [9] 27098(9.2%) 168(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:318:33 for-loop [24] 99.7% ------------------------------------------------------------------------------------------ hash-ref! [235] 100.0% [10] 16498(5.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:388:23 for-loop [25] 97.9% partition-list [29] 2.1% ------------------------------------------------------------------------------------------ hash-ref! [235] 100.0% [11] 3324(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:334:33 hash-ref! [235] 83.5% for-loop [28] 16.5% ------------------------------------------------------------------------------------------ copying-mergesort [108] 100.0% [12] 1992(0.7%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [135] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [235] 100.0% [13] 1462(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:479:23 for-loop [27] 100.0% ------------------------------------------------------------------------------------------ f134 [46] 100.0% [14] 1232(0.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:308:0 first-nonzero-exp [207] 58.8% simplify [34] 41.2% ------------------------------------------------------------------------------------------ rewriter [87] 100.0% [15] 580(0.2%) 0(0.0%) *rules* ...tlock/herbie/src/syntax/rules.rkt:411:0 for-loop [113] 100.0% ------------------------------------------------------------------------------------------ profile-thunk16 [1] 99.8% [16] 283040(96.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [67] 100.0% ------------------------------------------------------------------------------------------ run-improve50 [2] 100.0% [17] 159106(54.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:245:8 run-iter! [31] 100.0% ------------------------------------------------------------------------------------------ run-improve50 [2] 100.0% [18] 92882(31.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:260:0 split-table [33] 93.1% extract-alt [39] 6.9% ------------------------------------------------------------------------------------------ simplify [3] 100.0% [19] 54548(18.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [32] 84.4% loop [37] 15.3% mk-egraph [45] 0.3% ------------------------------------------------------------------------------------------ ??? [7] 100.0% [20] 34746(11.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:281:52 ??? [35] 62.1% hash-ref! [235] 36.1% simplify [34] 1.9% ------------------------------------------------------------------------------------------ ??? [8] 100.0% [21] 31786(10.8%) 178(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:294:27 hash-ref! [235] 99.8% ------------------------------------------------------------------------------------------ ??? [5] 100.0% [22] 31602(10.7%) 13108(4.4%) ??? ...acket/collects/racket/private/kw.rkt:444:14 bf* [38] 24.7% ??? [259] 22.7% ??? [40] 5.1% ??? [41] 4.3% ??? [241] 1.2% ------------------------------------------------------------------------------------------ simplify [3] 100.0% [23] 31204(10.6%) 226(0.1%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [32] 86.3% loop [37] 13.0% ------------------------------------------------------------------------------------------ ??? [9] 100.0% [24] 27098(9.2%) 852(0.3%) for-loop ...lock/herbie/src/core/taylor.rkt:320:46 hash-ref! [235] 96.0% simplify [34] 1.2% ------------------------------------------------------------------------------------------ ??? [10] 100.0% [25] 16158(5.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:392:33 for-loop [36] 100.0% ------------------------------------------------------------------------------------------ ??? [135] 3.1% ??? [175] 5.7% map [152] 6.6% for-loop [248] 10.3% loop [226] 19.7% ??? [5] 54.7% [26] 5884(2.0%) 438(0.1%) ->flonum .../ztatlock/herbie/src/programs.rkt:34:0 ??? [134] 84.5% ??? [42] 8.1% ------------------------------------------------------------------------------------------ ??? [13] 100.0% [27] 1462(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:483:35 parse-loop12 [211] 100.0% ------------------------------------------------------------------------------------------ ??? [11] 100.0% [28] 966(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:337:46 hash-ref! [235] 100.0% ------------------------------------------------------------------------------------------ ??? [10] 100.0% [29] 340(0.1%) 0(0.0%) partition-list ...herbie/src/core/taylor.rkt:372:0 aux [43] 100.0% ------------------------------------------------------------------------------------------ run-improve50 [2] 100.0% [30] 184(0.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:45:0 simplify-alt [44] 100.0% ------------------------------------------------------------------------------------------ for-loop [17] 100.0% [31] 159106(54.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:215:0 simplify! [47] 63.6% gen-series! [49] 25.7% finalize-iter! [51] 9.1% choose-best-alt! [54] 0.7% gen-rewrites! [55] 0.6% ------------------------------------------------------------------------------------------ simplify [3] 20.5% for-loop [23] 29.3% simplify-expr [19] 50.2% [32] 91736(31.1%) 920(0.3%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [48] 96.4% map-enodes [52] 2.2% debug7 [53] 0.2% *simplify-rules* [57] 0.2% ------------------------------------------------------------------------------------------ get-final-combination [18] 100.0% [33] 86448(29.3%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:164:0 f134 [46] 97.1% ??? [140] 2.9% ------------------------------------------------------------------------------------------ first-nonzero-exp [207] 0.4% parse-loop12 [211] 0.5% for-loop [24] 0.9% taylor-invert [14] 1.3% for-loop [20] 4.4% hash-ref! [235] 91.7% [34] 37992(12.9%) 696(0.2%) simplify ...atlock/herbie/src/core/reduce.rkt:15:0 f134 [46] 64.0% parse-loop12 [211] 24.9% simplify* [215] 2.7% debug-print [169] 2.6% debug7 [53] 2.3% simplify-node [159] 1.6% ------------------------------------------------------------------------------------------ ??? [6] 41.5% for-loop [20] 58.5% [35] 35996(12.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:284:19 hash-ref! [235] 100.0% ------------------------------------------------------------------------------------------ for-loop [25] 100.0% [36] 16158(5.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:394:39 hash-ref! [235] 100.0% ------------------------------------------------------------------------------------------ simplify [3] 19.5% for-loop [23] 26.3% simplify-expr [19] 54.2% [37] 15430(5.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [50] 100.0% ------------------------------------------------------------------------------------------ ??? [22] 100.0% [38] 7800(2.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [259] 100.0% ------------------------------------------------------------------------------------------ get-final-combination [18] 100.0% [39] 6434(2.2%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:56:0 loop [226] 94.5% loop [197] 5.5% ------------------------------------------------------------------------------------------ ??? [22] 100.0% [40] 1602(0.5%) 1602(0.5%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 ------------------------------------------------------------------------------------------ loop [226] 13.0% ??? [22] 87.0% [41] 1566(0.5%) 136(0.0%) ??? ...tatlock/herbie/src/syntax/syntax.rkt:118:17 ??? [134] 91.3% ------------------------------------------------------------------------------------------ ->flonum [26] 100.0% [42] 474(0.2%) 308(0.1%) ??? ...-racket/utils/simple-result-arrow.rkt:60:15 ??? [273] 35.0% ------------------------------------------------------------------------------------------ partition-list [29] 33.3% aux [43] 66.7% [43] 340(0.1%) 340(0.1%) aux ...e/ztatlock/herbie/src/core/taylor.rkt:373:2 aux [43] 66.7% ------------------------------------------------------------------------------------------ setup-prog [30] 100.0% [44] 184(0.1%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:83:0 simplify [3] 100.0% ------------------------------------------------------------------------------------------ simplify-expr [19] 100.0% [45] 166(0.1%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [56] 100.0% ------------------------------------------------------------------------------------------ ??? [208] 0.0% ??? [163] 0.1% simplify-node [159] 0.2% composed [205] 0.2% approximate9 [187] 0.4% hash-ref! [235] 0.4% eval-const-expr [250] 0.7% append-map [216] 1.0% loop [226] 1.2% eval-prog [179] 1.6% parse-loop12 [211] 2.8% f134 [46] 3.1% simplify [34] 7.8% map [152] 9.5% split-table [33] 71.0% [46] 116250(39.4%) 5792(2.0%) f134 .../collects/racket/match/compiler.rkt:507:40 option-on-expr [59] 70.4% map [152] 19.6% f134 [46] 3.1% ??? [181] 1.7% append-map [216] 1.2% exprs-to-branch-on [66] 0.6% gather-multiplicative-terms [161] 0.4% composed [205] 0.3% table-ref [194] 0.3% combine-mterms [65] 0.3% ...erbie/src/common.rkt:46:2 [96] 0.2% taylor-invert [14] 0.1% parse-loop12 [211] 0.1% ??? [140] 0.1% taylor [165] 0.0% ------------------------------------------------------------------------------------------ run-iter! [31] 100.0% [47] 101260(34.4%) 202(0.1%) simplify! ...tatlock/herbie/src/mainloop.rkt:155:0 for-loop [58] 99.8% ------------------------------------------------------------------------------------------ iterate-egraph!5 [32] 100.0% [48] 88418(30.0%) 4464(1.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [60] 62.9% loop [62] 27.5% apply-match [70] 4.0% loop [170] 0.4% filter [240] 0.2% ------------------------------------------------------------------------------------------ run-iter! [31] 100.0% [49] 40900(13.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:129:0 for-loop [61] 100.0% ------------------------------------------------------------------------------------------ loop [37] 100.0% [50] 15430(5.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [63] 100.0% ------------------------------------------------------------------------------------------ run-iter! [31] 100.0% [51] 14506(4.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:169:0 ??? [140] 100.0% ------------------------------------------------------------------------------------------ iterate-egraph!5 [32] 100.0% [52] 2060(0.7%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [226] 93.6% for-loop [239] 6.4% ------------------------------------------------------------------------------------------ iterate-egraph!5 [32] 14.1% taylor [165] 15.6% simplify [34] 70.3% [53] 1258(0.4%) 612(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [140] 51.4% ------------------------------------------------------------------------------------------ run-iter! [31] 100.0% [54] 1082(0.4%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:115:0 ??? [140] 100.0% ------------------------------------------------------------------------------------------ run-iter! [31] 100.0% [55] 988(0.3%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:142:0 for-loop [64] 100.0% ------------------------------------------------------------------------------------------ mk-egraph [45] 25.0% expr->enode [56] 75.0% [56] 166(0.1%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [56] 75.0% mk-enode! [110] 25.0% ------------------------------------------------------------------------------------------ iterate-egraph!5 [32] 100.0% [57] 160(0.1%) 0(0.0%) *simplify-rules* ...bie/src/syntax/rules.rkt:415:0 for-loop [113] 100.0% ------------------------------------------------------------------------------------------ simplify! [47] 98.5% [58] 102550(34.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:159:6 ??? [67] 99.4% debug-print [169] 0.6% ------------------------------------------------------------------------------------------ f134 [46] 100.0% [59] 83178(28.2%) 172(0.1%) option-on-expr ...erbie/src/core/regimes.rkt:115:0 sindices->spoints [68] 89.7% sort-context-on-expr [72] 7.1% loop [226] 1.1% err-lsts->split-indices [77] 0.8% pick-errors [78] 0.8% errors [236] 0.2% ------------------------------------------------------------------------------------------ for-loop [60] 49.0% one-iter [48] 51.0% [60] 55580(18.9%) 12008(4.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [60] 49.0% match-e [81] 38.9% ??? [123] 0.3% ------------------------------------------------------------------------------------------ gen-series! [49] 100.0% [61] 40900(13.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:135:7 taylor-alt [69] 100.0% ------------------------------------------------------------------------------------------ one-iter [48] 100.0% [62] 24302(8.2%) 342(0.1%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [70] 98.6% ------------------------------------------------------------------------------------------ pass [50] 100.0% [63] 15430(5.2%) 154(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [71] 75.5% loop [73] 12.9% for-loop [74] 9.6% ------------------------------------------------------------------------------------------ gen-rewrites! [55] 100.0% [64] 988(0.3%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:147:11 ??? [75] 100.0% ------------------------------------------------------------------------------------------ f134 [46] 100.0% [65] 806(0.3%) 210(0.1%) combine-mterms ...herbie/src/core/reduce.rkt:180:0 for-loop [79] 73.9% ------------------------------------------------------------------------------------------ f134 [46] 100.0% [66] 788(0.3%) 0(0.0%) exprs-to-branch-on ...ie/src/core/regimes.rkt:44:0 critical-subexpression [76] 100.0% ------------------------------------------------------------------------------------------ for-loop [58] 12.3% run [16] 43.2% [67] 291770(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 43.0% run-improve50 [2] 38.3% simplify [3] 12.3% loop [133] 6.4% ------------------------------------------------------------------------------------------ option-on-expr [59] 100.0% [68] 74634(25.3%) 0(0.0%) sindices->spoints ...ie/src/core/regimes.rkt:128:0 loop [80] 100.0% ------------------------------------------------------------------------------------------ for-loop [61] 100.0% [69] 40900(13.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:141:0 for-loop [82] 100.0% ------------------------------------------------------------------------------------------ one-iter [48] 12.9% loop [62] 87.1% [70] 27494(9.3%) 1528(0.5%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [94] 28.7% match-e [81] 24.8% for-loop [85] 14.0% loop! [237] 9.0% substitute-e [97] 8.3% mk-enode! [110] 4.1% update-leader! [106] 3.1% reduce-to-single! [90] 2.5% ------------------------------------------------------------------------------------------ for-loop [63] 100.0% [71] 11646(4.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [83] 88.2% expression-cost [86] 11.8% ------------------------------------------------------------------------------------------ option-on-expr [59] 100.0% [72] 5924(2.0%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:79:0 ??? [84] 100.0% ------------------------------------------------------------------------------------------ for-loop [63] 100.0% [73] 1996(0.7%) 204(0.1%) loop ...hare/racket/collects/racket/list.rkt:729:4 for-loop [83] 82.0% expression-cost [86] 7.8% ------------------------------------------------------------------------------------------ for-loop [63] 100.0% [74] 1488(0.5%) 1488(0.5%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------------------------ for-loop [64] 100.0% [75] 988(0.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:88:0 rewriter [87] 100.0% ------------------------------------------------------------------------------------------ exprs-to-branch-on [66] 100.0% [76] 788(0.3%) 0(0.0%) critical-subexpression ...rc/core/regimes.rkt:52:0 for-loop [88] 100.0% ------------------------------------------------------------------------------------------ option-on-expr [59] 100.0% [77] 702(0.2%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:238:0 add-splitpoint [89] 100.0% ------------------------------------------------------------------------------------------ option-on-expr [59] 100.0% [78] 662(0.2%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:187:0 for-loop [91] 100.0% ------------------------------------------------------------------------------------------ combine-mterms [65] 100.0% [79] 596(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:184:5 hash-ref! [235] 100.0% ------------------------------------------------------------------------------------------ loop [80] 28.5% sindices->spoints [68] 71.5% [80] 74634(25.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:36:19 sidx->spoint [92] 71.5% loop [80] 28.5% ------------------------------------------------------------------------------------------ apply-match [70] 8.1% for-loop [105] 17.1% for-loop [60] 74.8% [81] 50004(17.0%) 20810(7.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [93] 36.7% for-loop [105] 8.7% ??? [140] 7.5% variable? [109] 3.3% list-cartesian-product [107] 2.8% loop [226] 1.8% ------------------------------------------------------------------------------------------ taylor-alt [69] 100.0% [82] 40900(13.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:143:2 ??? [181] 100.0% ------------------------------------------------------------------------------------------ loop [73] 13.7% argmin [71] 86.3% [83] 11906(4.0%) 546(0.2%) for-loop ...ztatlock/herbie/src/programs.rkt:197:2 table-ref [194] 68.3% ...erbie/src/common.rkt:46:2 [96] 24.0% ??? [192] 3.1% ------------------------------------------------------------------------------------------ sort-context-on-expr [72] 100.0% [84] 5924(2.0%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [95] 89.8% loop [122] 10.2% ------------------------------------------------------------------------------------------ apply-match [70] 100.0% [85] 3862(1.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [237] 37.3% merge-egraph-nodes! [94] 30.9% substitute-e [97] 27.3% mk-enode! [110] 4.5% ------------------------------------------------------------------------------------------ loop [73] 10.2% argmin [71] 89.8% [86] 1532(0.5%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:196:0 compile [98] 100.0% ------------------------------------------------------------------------------------------ ??? [75] 26.4% matcher [112] 73.6% [87] 988(0.3%) 210(0.1%) rewriter ...lock/herbie/src/core/matcher.rkt:127:2 for-loop [99] 83.7% *rules* [15] 12.8% ------------------------------------------------------------------------------------------ critical-subexpression [76] 100.0% [88] 788(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:87:19 eval-prog [179] 100.0% ------------------------------------------------------------------------------------------ err-lsts->split-indices [77] 100.0% [89] 702(0.2%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:251:2 for-loop [100] 100.0% ------------------------------------------------------------------------------------------ apply-match [70] 100.0% [90] 682(0.2%) 342(0.1%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [101] 27.9% filter-loop! [102] 22.0% ------------------------------------------------------------------------------------------ pick-errors [78] 100.0% [91] 662(0.2%) 154(0.1%) for-loop ...lock/herbie/src/core/regimes.rkt:190:4 eval-prog [179] 76.7% ------------------------------------------------------------------------------------------ loop [80] 100.0% [92] 74634(25.3%) 0(0.0%) sidx->spoint .../herbie/src/core/regimes.rkt:142:2 binary-search [103] 59.0% binary-search-floats [104] 41.0% ------------------------------------------------------------------------------------------ match-e [81] 100.0% [93] 23794(8.1%) 7402(2.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [105] 49.0% list-cartesian-product [107] 12.9% loop [226] 4.2% foldl [243] 2.1% filter [240] 0.8% curry* [119] 0.8% ------------------------------------------------------------------------------------------ merge-egraph-nodes! [94] 3.9% for-loop [85] 13.1% apply-match [70] 82.9% [94] 9074(3.1%) 504(0.2%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [106] 70.4% enode-merge! [115] 8.7% merge-egraph-nodes! [94] 3.9% for-loop [117] 3.8% loop! [237] 3.6% for-loop [118] 2.2% for-loop [113] 1.8% ------------------------------------------------------------------------------------------ ??? [84] 100.0% [95] 5318(1.8%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [108] 89.5% loop [122] 10.5% ------------------------------------------------------------------------------------------ f134 [46] 5.1% ??? [181] 14.5% for-loop [83] 80.5% [96] 3556(1.2%) 1482(0.5%) ...erbie/src/common.rkt:46:2 ...e/arr-i.rkt:906:19 ??? [111] 35.7% ??? [114] 22.6% ------------------------------------------------------------------------------------------ substitute-e [97] 16.1% for-loop [85] 24.6% apply-match [70] 59.3% [97] 3346(1.1%) 174(0.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [110] 69.1% substitute-e [97] 16.1% variable? [109] 4.9% ??? [140] 4.7% ------------------------------------------------------------------------------------------ expression-cost [86] 100.0% [98] 1532(0.5%) 162(0.1%) compile .../ztatlock/herbie/src/programs.rkt:173:0 hash-ref! [235] 89.4% ------------------------------------------------------------------------------------------ rewriter [87] 100.0% [99] 988(0.3%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:130:10 matcher [112] 100.0% ------------------------------------------------------------------------------------------ add-splitpoint [89] 100.0% [100] 702(0.2%) 172(0.1%) for-loop ...lock/herbie/src/core/regimes.rkt:253:4 for-loop [116] 75.5% ------------------------------------------------------------------------------------------ reduce-to-single! [90] 100.0% [101] 190(0.1%) 190(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ------------------------------------------------------------------------------------------ reduce-to-single! [90] 100.0% [102] 150(0.1%) 150(0.1%) filter-loop! ...ck/herbie/src/core/enode.rkt:114:2 ------------------------------------------------------------------------------------------ sidx->spoint [92] 100.0% [103] 44044(14.9%) 0(0.0%) binary-search ...tlock/herbie/src/common.rkt:197:0 pred [120] 100.0% ------------------------------------------------------------------------------------------ sidx->spoint [92] 100.0% [104] 30590(10.4%) 0(0.0%) binary-search-floats ...erbie/src/common.rkt:212:0 pred [120] 100.0% ------------------------------------------------------------------------------------------ match-e [81] 37.8% for-loop [93] 62.2% [105] 18482(6.3%) 1602(0.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [81] 85.5% ??? [123] 6.3% ------------------------------------------------------------------------------------------ apply-match [70] 11.4% merge-egraph-nodes! [94] 88.6% [106] 7400(2.5%) 1154(0.4%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [121] 82.1% custom-set-union! [131] 2.3% ------------------------------------------------------------------------------------------ list-cartesian-product [107] 24.6% match-e [81] 25.8% for-loop [93] 49.6% [107] 4926(1.7%) 3856(1.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [107] 24.6% for-loop [124] 18.1% ------------------------------------------------------------------------------------------ generic-sort/key [95] 41.8% copying-mergesort [108] 58.2% [108] 4762(1.6%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [108] 58.2% loop [122] 31.4% jloop [12] 10.5% ------------------------------------------------------------------------------------------ substitute-e [97] 8.4% free-variables [230] 12.4% match-e [81] 79.2% [109] 4634(1.6%) 182(0.1%) variable? ...ck/herbie/src/syntax/syntax.rkt:529:0 ??? [140] 96.1% ------------------------------------------------------------------------------------------ expr->enode [56] 4.4% for-loop [85] 4.6% apply-match [70] 29.8% substitute-e [97] 61.2% [110] 3780(1.3%) 2652(0.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [147] 23.8% new-enode [128] 6.1% ------------------------------------------------------------------------------------------ for-loop [224] 7.9% ??? [214] 19.5% ...erbie/src/common.rkt:46:2 [96] 72.6% [111] 1270(0.4%) 514(0.2%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [214] 72.6% ??? [213] 7.2% ------------------------------------------------------------------------------------------ matcher [112] 12.5% for-loop [125] 37.5% for-loop [99] 50.0% [112] 988(0.3%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:163:2 rewriter [87] 45.0% for-loop [125] 37.5% matcher [112] 12.5% for-loop [129] 5.0% ------------------------------------------------------------------------------------------ *simplify-rules* [57] 17.7% merge-egraph-nodes! [94] 18.1% *rules* [15] 64.2% [113] 904(0.3%) 348(0.1%) for-loop /home/ztatlock/herbie/src/common.rkt:93:9 ormap [126] 43.8% ??? [134] 17.7% ------------------------------------------------------------------------------------------ ...erbie/src/common.rkt:46:2 [96] 100.0% [114] 804(0.3%) 422(0.1%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 ??? [206] 25.9% return/no-unsupplied [227] 21.6% ------------------------------------------------------------------------------------------ merge-egraph-nodes! [94] 100.0% [115] 786(0.3%) 312(0.1%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [127] 40.5% adopt-enode! [132] 19.8% ------------------------------------------------------------------------------------------ for-loop [100] 100.0% [116] 530(0.2%) 530(0.2%) for-loop ...lock/herbie/src/core/regimes.rkt:257:8 ------------------------------------------------------------------------------------------ merge-egraph-nodes! [94] 100.0% [117] 346(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [237] 100.0% ------------------------------------------------------------------------------------------ merge-egraph-nodes! [94] 100.0% [118] 202(0.1%) 202(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------------------------------ for-loop [93] 100.0% [119] 188(0.1%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [130] 100.0% ------------------------------------------------------------------------------------------ binary-search-floats [104] 41.0% binary-search [103] 59.0% [120] 74634(25.3%) 0(0.0%) pred ...tatlock/herbie/src/core/regimes.rkt:148:17 loop [133] 97.5% errors [236] 2.5% ------------------------------------------------------------------------------------------ update-leader! [106] 100.0% [121] 6074(2.1%) 722(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [136] 88.1% ------------------------------------------------------------------------------------------ generic-sort/key [95] 14.1% ??? [84] 15.4% copying-mergesort [108] 70.4% [122] 3932(1.3%) 194(0.1%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [135] 95.1% ------------------------------------------------------------------------------------------ for-loop [60] 23.2% for-loop [105] 76.8% [123] 1630(0.6%) 878(0.3%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [137] 46.1% ------------------------------------------------------------------------------------------ list-cartesian-product [107] 100.0% [124] 1070(0.4%) 1070(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------------------------ matcher [112] 100.0% [125] 988(0.3%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:179:21 matcher [112] 100.0% ------------------------------------------------------------------------------------------ for-loop [113] 100.0% [126] 396(0.1%) 0(0.0%) ormap ...et/collects/racket/private/map.rkt:105:13 ??? [134] 100.0% ------------------------------------------------------------------------------------------ enode-merge! [115] 100.0% [127] 318(0.1%) 318(0.1%) custom-set-intersect! ...ivate/set-types.rkt:269:0 ------------------------------------------------------------------------------------------ mk-enode! [110] 100.0% [128] 230(0.1%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [251] 100.0% ------------------------------------------------------------------------------------------ matcher [112] 100.0% [129] 198(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/matcher.rkt:155:6 pattern-substitute [138] 100.0% ------------------------------------------------------------------------------------------ curry* [119] 100.0% [130] 188(0.1%) 188(0.1%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------------------------------ update-leader! [106] 100.0% [131] 172(0.1%) 172(0.1%) custom-set-union! ...t/private/set-types.rkt:245:0 ------------------------------------------------------------------------------------------ enode-merge! [115] 100.0% [132] 156(0.1%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [249] 100.0% ------------------------------------------------------------------------------------------ run-improve50 [2] 1.6% ??? [67] 32.7% pred [120] 65.6% [133] 110842(37.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:159:2 loop [139] 83.0% make-exacts* [144] 9.5% loop [145] 6.8% for-loop [142] 0.6% ------------------------------------------------------------------------------------------ for-loop [113] 2.2% ulp-difference [266] 4.7% ormap [126] 5.4% ??? [41] 19.6% ->flonum [26] 68.1% [134] 7302(2.5%) 3268(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:48:0 ??? [206] 30.2% return/no-unsupplied [227] 20.2% list-member? [143] 4.8% ------------------------------------------------------------------------------------------ jloop [12] 34.8% loop [122] 65.2% [135] 5730(1.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:81:27 eval-prog [179] 93.8% ->flonum [26] 3.2% ??? [5] 3.1% ------------------------------------------------------------------------------------------ for-loop [121] 100.0% [136] 5352(1.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [141] 100.0% ------------------------------------------------------------------------------------------ ??? [123] 100.0% [137] 752(0.3%) 182(0.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ??? [140] 75.8% ------------------------------------------------------------------------------------------ for-loop [129] 33.3% pattern-substitute [138] 66.7% [138] 198(0.1%) 0(0.0%) pattern-substitute ...ie/src/core/matcher.rkt:72:0 pattern-substitute [138] 66.7% ??? [140] 33.3% ------------------------------------------------------------------------------------------ loop [133] 100.0% [139] 92050(31.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:119:2 eval-prog [179] 79.0% make-exacts* [144] 13.6% loop [145] 7.4% ------------------------------------------------------------------------------------------ f134 [46] 0.5% free-variables [230] 0.6% pattern-substitute [138] 0.6% pattern-match [177] 1.2% substitute-e [97] 1.4% for-loop [137] 1.7% debug7 [53] 2.0% choose-best-alt! [54] 3.3% ??? [213] 4.4% split-table [33] 7.6% variable? [109] 13.6% match-e [81] 20.1% finalize-iter! [51] 43.0% [140] 32790(11.1%) 10120(3.4%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [146] 42.8% hash-has-key? [147] 15.2% split-atab [149] 7.6% ??? [150] 3.3% ------------------------------------------------------------------------------------------ for-loop [136] 100.0% [141] 5352(1.8%) 178(0.1%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [148] 96.7% ------------------------------------------------------------------------------------------ loop [133] 100.0% [142] 630(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:166:24 for-loop [151] 100.0% ------------------------------------------------------------------------------------------ ??? [134] 100.0% [143] 354(0.1%) 354(0.1%) list-member? ...llects/racket/private/set.rkt:24:0 ------------------------------------------------------------------------------------------ loop [133] 45.8% loop [139] 54.2% [144] 23130(7.8%) 0(0.0%) make-exacts* ...atlock/herbie/src/points.rkt:106:0 loop [226] 57.0% map [152] 28.9% eval-prog [179] 14.2% ------------------------------------------------------------------------------------------ loop [139] 47.3% loop [133] 52.7% [145] 14366(4.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:109:4 map [152] 100.0% ------------------------------------------------------------------------------------------ ??? [140] 100.0% [146] 14342(4.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [153] 100.0% ------------------------------------------------------------------------------------------ mk-enode! [110] 14.3% ??? [140] 85.7% [147] 6290(2.1%) 2498(0.8%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [204] 51.6% ??? [156] 8.6% ------------------------------------------------------------------------------------------ hash-update! [141] 100.0% [148] 5174(1.8%) 300(0.1%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [154] 94.2% ------------------------------------------------------------------------------------------ ??? [140] 100.0% [149] 2482(0.8%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [155] 100.0% ------------------------------------------------------------------------------------------ ??? [140] 100.0% [150] 1082(0.4%) 0(0.0%) ??? ...ztatlock/herbie/src/core/alt-table.rkt:54:0 ??? [181] 100.0% ------------------------------------------------------------------------------------------ for-loop [142] 100.0% [151] 630(0.2%) 356(0.1%) for-loop .../ztatlock/herbie/src/points.rkt:167:26 ??? [157] 43.5% ------------------------------------------------------------------------------------------ ??? [163] 0.3% gather-multiplicative-terms [161] 0.8% parse-loop12 [211] 3.3% make-exacts* [144] 13.7% loop [145] 29.5% f134 [46] 52.4% [152] 48758(16.5%) 774(0.3%) map ...acket/collects/racket/private/map.rkt:20:13 loop [226] 40.1% f134 [46] 27.4% parse-loop12 [211] 21.4% ??? [5] 4.1% simplify* [215] 1.7% ??? [163] 1.0% ->flonum [26] 0.8% gather-multiplicative-terms [161] 0.7% simplify-node [159] 0.7% taylor [165] 0.4% make-multiplication-node [218] 0.4% ??? [162] 0.3% ------------------------------------------------------------------------------------------ for-loop [146] 98.9% [153] 14506(4.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [158] 96.0% override-at-pnts [164] 4.0% ------------------------------------------------------------------------------------------ ??? [148] 100.0% [154] 4874(1.7%) 4596(1.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [253] 5.7% ------------------------------------------------------------------------------------------ split-atab [149] 100.0% [155] 2482(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [160] 65.2% for-loop [166] 20.8% for-loop [167] 14.0% ------------------------------------------------------------------------------------------ hash-has-key? [147] 100.0% [156] 544(0.2%) 544(0.2%) ??? ...ects/racket/contract/private/hash.rkt:245:7 ------------------------------------------------------------------------------------------ for-loop [151] 100.0% [157] 274(0.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:156:9 random-exp [168] 100.0% ------------------------------------------------------------------------------------------ atab-add-altn [153] 100.0% [158] 13922(4.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [236] 94.7% for-loop [171] 5.3% ------------------------------------------------------------------------------------------ simplify [34] 31.3% map [152] 68.7% [159] 1990(0.7%) 210(0.1%) simplify-node ...k/herbie/src/core/reduce.rkt:39:0 f134 [46] 49.8% append-map [216] 27.7% combine-aterms [173] 11.9% ------------------------------------------------------------------------------------------ for-loop [155] 100.0% [160] 1618(0.5%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [170] 100.0% ------------------------------------------------------------------------------------------ map [152] 34.0% f134 [46] 66.0% [161] 1292(0.4%) 950(0.3%) gather-multiplicative-terms ...re/reduce.rkt:105:0 map [152] 46.2% curried [174] 7.1% ------------------------------------------------------------------------------------------ loop [226] 15.9% parse-loop12 [211] 35.2% map [152] 48.8% [162] 1130(0.4%) 580(0.2%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:50:5 for-loop [172] 48.7% ------------------------------------------------------------------------------------------ loop [226] 34.2% map [152] 65.8% [163] 1082(0.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f134 [46] 47.0% taylor-sqrt [199] 18.9% hash-ref! [235] 18.9% map [152] 15.3% ------------------------------------------------------------------------------------------ atab-add-altn [153] 100.0% [164] 584(0.2%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [236] 100.0% ------------------------------------------------------------------------------------------ map [152] 34.9% f134 [46] 65.1% [165] 562(0.2%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:159:0 debug-print [169] 65.1% debug7 [53] 34.9% ------------------------------------------------------------------------------------------ for-loop [155] 100.0% [166] 516(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:86:30 ??? [175] 100.0% ------------------------------------------------------------------------------------------ for-loop [155] 100.0% [167] 348(0.1%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:76:45 ??? [175] 100.0% ------------------------------------------------------------------------------------------ ??? [157] 100.0% [168] 274(0.1%) 274(0.1%) random-exp ...ztatlock/herbie/src/common.rkt:222:0 ------------------------------------------------------------------------------------------ taylor [165] 18.1% for-loop [58] 32.5% simplify [34] 49.4% [169] 2020(0.7%) 394(0.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [176] 80.5% ------------------------------------------------------------------------------------------ one-iter [48] 18.7% for-loop [160] 81.3% [170] 1990(0.7%) 372(0.1%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [175] 81.3% ------------------------------------------------------------------------------------------ best-and-tied-at-points [158] 100.0% [171] 738(0.3%) 560(0.2%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [264] 24.1% ------------------------------------------------------------------------------------------ ??? [162] 100.0% [172] 550(0.2%) 152(0.1%) for-loop ...atlock/herbie/src/core/reduce.rkt:51:7 pattern-match [177] 72.4% ------------------------------------------------------------------------------------------ simplify-node [159] 100.0% [173] 236(0.1%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:172:0 for-loop [178] 100.0% ------------------------------------------------------------------------------------------ gather-multiplicative-terms [161] 100.0% [174] 184(0.1%) 184(0.1%) curried ...cket/collects/racket/function.rkt:71:18 ------------------------------------------------------------------------------------------ for-loop [167] 14.0% for-loop [166] 20.8% loop [170] 65.2% [175] 2482(0.8%) 190(0.1%) ??? .../ztatlock/herbie/src/core/regimes.rkt:305:8 eval-prog [179] 78.9% ->flonum [26] 13.5% ------------------------------------------------------------------------------------------ debug-print [169] 100.0% [176] 1626(0.6%) 1626(0.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------------------------ for-loop [180] 50.0% for-loop [172] 50.0% [177] 398(0.1%) 0(0.0%) pattern-match .../herbie/src/core/matcher.rkt:47:0 for-loop [180] 50.0% ??? [140] 50.0% ------------------------------------------------------------------------------------------ combine-aterms [173] 100.0% [178] 236(0.1%) 236(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:174:4 ------------------------------------------------------------------------------------------ for-loop [91] 0.6% for-loop [88] 0.9% ??? [175] 2.2% make-exacts* [144] 3.7% errors [236] 5.5% ??? [135] 6.0% loop [139] 81.2% [179] 89532(30.4%) 8306(2.8%) eval-prog ...tatlock/herbie/src/programs.rkt:146:0 hash-ref! [235] 81.6% f134 [46] 4.9% ??? [182] 0.9% ??? [183] 0.8% ??? [208] 0.5% go [184] 0.5% parse-app [261] 0.4% ??? [181] 0.4% new-lambda [185] 0.4% parse-lambda [186] 0.2% ------------------------------------------------------------------------------------------ pattern-match [177] 100.0% [180] 398(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/matcher.rkt:65:9 pattern-match [177] 100.0% ------------------------------------------------------------------------------------------ eval-prog [179] 0.7% ??? [150] 2.3% f134 [46] 9.3% table-ref [194] 43.8% for-loop [82] 43.8% [181] 46684(15.8%) 310(0.1%) ??? ...tract/private/arrow-higher-order.rkt:342:33 table-ref [194] 46.4% approximate9 [187] 43.8% ??? [213] 3.9% best-alt [189] 2.3% ...erbie/src/common.rkt:46:2 [96] 1.1% ??? [188] 0.9% ??? [192] 0.4% ------------------------------------------------------------------------------------------ eval-prog [179] 100.0% [182] 824(0.3%) 0(0.0%) ??? ...cket/collects/racket/private/kw.rkt:1633:36 unpack242 [190] 100.0% ------------------------------------------------------------------------------------------ eval-prog [179] 100.0% [183] 746(0.3%) 180(0.1%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [191] 75.9% ------------------------------------------------------------------------------------------ eval-prog [179] 100.0% [184] 434(0.1%) 232(0.1%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [193] 46.5% ------------------------------------------------------------------------------------------ eval-prog [179] 100.0% [185] 350(0.1%) 0(0.0%) new-lambda ...ollects/racket/private/kw.rkt:679:11 loop [271] 100.0% ------------------------------------------------------------------------------------------ eval-prog [179] 100.0% [186] 192(0.1%) 0(0.0%) parse-lambda ...llects/racket/private/kw.rkt:437:2 loop [271] 100.0% ------------------------------------------------------------------------------------------ ??? [181] 100.0% [187] 40900(13.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:12:0 loop [195] 96.9% f134 [46] 2.2% for-loop [202] 0.5% taylor-sqrt [199] 0.4% ------------------------------------------------------------------------------------------ ??? [181] 6.7% ??? [5] 93.3% [188] 6336(2.1%) 132(0.0%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [196] 95.7% integer->bigfloat [203] 2.2% ------------------------------------------------------------------------------------------ ??? [181] 100.0% [189] 1082(0.4%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:78:0 loop [197] 64.9% argmins [200] 35.1% ------------------------------------------------------------------------------------------ ??? [182] 100.0% [190] 824(0.3%) 204(0.1%) unpack242 ...private/arrow-higher-order.rkt:354:44 maybe-cons-kwd [198] 75.2% ------------------------------------------------------------------------------------------ ??? [183] 100.0% [191] 566(0.2%) 566(0.2%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------------------------ ??? [181] 34.3% for-loop [83] 65.7% [192] 566(0.2%) 372(0.1%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 get/build-late-neg-projection [201] 34.3% ------------------------------------------------------------------------------------------ go [184] 100.0% [193] 202(0.1%) 202(0.1%) loop ...llects/racket/private/qq-and-or.rkt:101:61 ------------------------------------------------------------------------------------------ f134 [46] 0.7% table-ref [194] 12.6% for-loop [83] 16.0% ??? [181] 70.4% [194] 50792(17.2%) 1248(0.4%) table-ref .../racket/private/norm-define.rkt:53:83 ??? [181] 68.0% ??? [204] 15.4% table-ref [194] 12.6% ??? [206] 0.8% return/no-unsupplied [227] 0.4% ------------------------------------------------------------------------------------------ approximate9 [187] 100.0% [195] 39638(13.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:83:4 hash-ref! [235] 100.0% ------------------------------------------------------------------------------------------ ??? [188] 100.0% [196] 6066(2.1%) 5472(1.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [273] 9.8% ------------------------------------------------------------------------------------------ extract-alt [39] 33.5% best-alt [189] 66.5% [197] 1056(0.4%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:135:2 composed [205] 84.3% errors-score [210] 15.7% ------------------------------------------------------------------------------------------ unpack242 [190] 100.0% [198] 620(0.2%) 0(0.0%) maybe-cons-kwd ...ate/arrow-higher-order.rkt:498:0 arrow-higher-order:lnp [220] 72.9% successfully-got-the-right-kind-of-function [221] 27.1% ------------------------------------------------------------------------------------------ approximate9 [187] 46.9% ??? [163] 53.1% [199] 384(0.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:342:0 hash-ref! [235] 53.1% first-nonzero-exp [207] 46.9% ------------------------------------------------------------------------------------------ best-alt [189] 100.0% [200] 380(0.1%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:134:0 composed [205] 100.0% ------------------------------------------------------------------------------------------ unconstrained-domain->-projection [209] 50.0% ??? [192] 50.0% [201] 194(0.1%) 194(0.1%) get/build-late-neg-projection ...te/guts.rkt:691:0 unconstrained-domain->-projection [209] 50.0% ------------------------------------------------------------------------------------------ approximate9 [187] 100.0% [202] 188(0.1%) 0(0.0%) for-loop ...atlock/herbie/src/core/taylor.rkt:19:8 ??? [208] 100.0% ------------------------------------------------------------------------------------------ ??? [188] 100.0% [203] 138(0.0%) 138(0.0%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ------------------------------------------------------------------------------------------ hash-has-key? [147] 29.3% table-ref [194] 70.7% [204] 11078(3.8%) 3558(1.2%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [212] 46.7% ??? [217] 14.8% successfully-got-the-right-kind-of-function [221] 3.0% ??? [214] 1.7% arrow-higher-order:lnp [220] 1.7% ------------------------------------------------------------------------------------------ argmins [200] 9.9% loop [197] 23.2% f134 [46] 66.9% [205] 3840(1.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f134 [46] 47.7% errors [236] 33.1% parse-loop12 [211] 13.8% free-variables [230] 5.5% ------------------------------------------------------------------------------------------ ??? [114] 7.4% table-ref [194] 13.9% ??? [134] 78.7% [206] 2806(1.0%) 406(0.1%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [238] 72.3% ??? [213] 13.2% ------------------------------------------------------------------------------------------ taylor-sqrt [199] 19.9% taylor-invert [14] 80.1% [207] 904(0.3%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:256:0 hash-ref! [235] 82.5% simplify [34] 17.5% ------------------------------------------------------------------------------------------ for-loop [202] 29.2% eval-prog [179] 70.8% [208] 644(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:346:33 ??? [241] 70.8% f134 [46] 29.2% ------------------------------------------------------------------------------------------ get/build-late-neg-projection [201] 100.0% [209] 194(0.1%) 0(0.0%) unconstrained-domain->-projection ...rrow.rkt:60:0 get/build-late-neg-projection [201] 100.0% ------------------------------------------------------------------------------------------ loop [197] 100.0% [210] 166(0.1%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:194:0 loop [226] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [235] 1.4% composed [205] 2.0% f134 [46] 2.6% append-map [216] 2.9% loop [226] 4.7% for-loop [27] 5.1% simplify [34] 16.6% parse-loop12 [211] 17.0% map [152] 47.7% [211] 26406(9.0%) 16390(5.6%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 parse-loop12 [211] 17.0% f134 [46] 13.9% loop [226] 10.0% map [152] 8.2% for-loop [219] 4.4% parse-app [261] 3.3% append-map [216] 2.8% simplify* [215] 1.4% make-multiplication-node [218] 0.9% simplify [34] 0.7% ??? [162] 0.6% make-keyword-procedure [228] 0.1% ------------------------------------------------------------------------------------------ ??? [204] 100.0% [212] 5176(1.8%) 2664(0.9%) for-loop ...acket/contract/private/list.rkt:743:12 ??? [217] 21.3% for-loop [222] 12.9% ??? [223] 7.0% successfully-got-the-right-kind-of-function [221] 3.8% arrow-higher-order:lnp [220] 3.6% ------------------------------------------------------------------------------------------ ??? [111] 7.6% ??? [206] 15.5% ??? [181] 76.9% [213] 2392(0.8%) 370(0.1%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ??? [140] 76.9% contract? [225] 7.6% ------------------------------------------------------------------------------------------ ??? [204] 12.9% ??? [111] 87.1% [214] 1458(0.5%) 602(0.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [111] 34.0% for-loop [224] 24.7% ------------------------------------------------------------------------------------------ parse-loop12 [211] 16.4% simplify [34] 22.1% map [152] 61.5% [215] 4662(1.6%) 1872(0.6%) simplify* ...tlock/herbie/src/core/reduce.rkt:20:0 return/no-unsupplied [227] 24.2% ??? [231] 20.3% hash-ref! [235] 15.3% ------------------------------------------------------------------------------------------ append-map [216] 1.8% parse-loop12 [211] 5.4% simplify-node [159] 10.9% f134 [46] 81.8% [216] 2874(1.0%) 1170(0.4%) append-map ...acket/collects/racket/list.rkt:565:2 f134 [46] 63.6% parse-loop12 [211] 13.5% free-variables [230] 4.4% loop [226] 1.9% append-map [216] 1.8% ------------------------------------------------------------------------------------------ for-loop [212] 40.1% ??? [204] 59.9% [217] 2740(0.9%) 1042(0.4%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [228] 62.0% ------------------------------------------------------------------------------------------ map [152] 49.7% parse-loop12 [211] 50.3% [218] 1472(0.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:219:0 make-multiplication-subnode [229] 100.0% ------------------------------------------------------------------------------------------ parse-loop12 [211] 100.0% [219] 1282(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:486:59 hash-ref! [235] 100.0% ------------------------------------------------------------------------------------------ ??? [204] 22.5% for-loop [212] 22.8% maybe-cons-kwd [198] 54.7% [220] 826(0.3%) 408(0.1%) arrow-higher-order:lnp ...w-higher-order.rkt:597:7 ??? [232] 50.6% ------------------------------------------------------------------------------------------ maybe-cons-kwd [198] 24.1% for-loop [212] 28.4% ??? [204] 47.4% [221] 696(0.2%) 374(0.1%) successfully-got-the-right-kind-of-function ...9:4 arity-checking-wrapper [233] 46.3% ------------------------------------------------------------------------------------------ for-loop [212] 100.0% [222] 666(0.2%) 350(0.1%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [234] 47.4% ------------------------------------------------------------------------------------------ for-loop [212] 100.0% [223] 360(0.1%) 360(0.1%) ??? ...ects/racket/contract/private/hash.rkt:222:6 ------------------------------------------------------------------------------------------ ??? [214] 100.0% [224] 360(0.1%) 160(0.1%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [111] 55.6% ------------------------------------------------------------------------------------------ ??? [213] 100.0% [225] 182(0.1%) 182(0.1%) contract? ...acket/contract/private/guts.rkt:109:0 ------------------------------------------------------------------------------------------ errors-score [210] 0.0% append-map [216] 0.0% make-exacts* [144] 0.3% option-on-expr [59] 0.4% for-loop [93] 0.4% map-enodes [52] 0.7% match-e [81] 0.8% loop! [237] 1.2% map [152] 2.1% parse-loop12 [211] 3.9% extract-alt [39] 4.1% loop [226] 30.5% ??? [4] 55.6% [226] 119644(40.6%) 2964(1.0%) loop ...cket/collects/racket/private/map.rkt:25:19 hash-ref! [235] 55.4% loop [226] 30.5% simplify [3] 4.1% parse-loop12 [211] 3.0% f134 [46] 1.8% ??? [5] 1.4% loop! [237] 1.2% for-loop [239] 0.7% errors [236] 0.4% foldl [243] 0.2% ??? [162] 0.1% ??? [163] 0.0% ??? [41] 0.0% ->flonum [26] 0.0% ------------------------------------------------------------------------------------------ ??? [114] 5.9% table-ref [194] 6.4% simplify* [215] 38.1% ??? [134] 49.6% [227] 2966(1.0%) 2046(0.7%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [240] 31.0% ------------------------------------------------------------------------------------------ parse-loop12 [211] 9.7% ??? [217] 90.3% [228] 1880(0.6%) 1880(0.6%) make-keyword-procedure ...ket/private/kw.rkt:260:4 ------------------------------------------------------------------------------------------ make-multiplication-node [218] 100.0% [229] 1472(0.5%) 180(0.1%) make-multiplication-subnode ...re/reduce.rkt:229:0 group-by68 [242] 77.0% for-loop [245] 10.7% ------------------------------------------------------------------------------------------ composed [205] 21.6% append-map [216] 78.4% [230] 972(0.3%) 210(0.1%) free-variables ...ock/herbie/src/programs.rkt:98:0 variable? [109] 59.3% ??? [140] 19.1% ------------------------------------------------------------------------------------------ simplify* [215] 100.0% [231] 948(0.3%) 570(0.2%) ??? ...racket/collects/racket/private/kw.rkt:762:9 ??? [238] 39.9% ------------------------------------------------------------------------------------------ arrow-higher-order:lnp [220] 100.0% [232] 418(0.1%) 418(0.1%) ??? ...et/contract/private/arity-checking.rkt:19:2 ------------------------------------------------------------------------------------------ successfully-got-the-right-kind-of-function [221]100.0% [233] 322(0.1%) 0(0.0%) arity-checking-wrapper ...w-higher-order.rkt:402:0 matches-arity-exactly? [244] 100.0% ------------------------------------------------------------------------------------------ for-loop [222] 100.0% [234] 316(0.1%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:686:7 ??? [241] 100.0% ------------------------------------------------------------------------------------------ for-loop [79] 0.0% for-loop [219] 0.1% simplify* [215] 0.1% for-loop [28] 0.1% ??? [163] 0.1% first-nonzero-exp [207] 0.2% taylor-sqrt [199] 0.2% ??? [6] 0.4% ??? [11] 0.4% compile [98] 0.6% ??? [4] 0.6% for-loop [36] 1.3% for-loop [24] 2.2% for-loop [20] 2.8% ??? [247] 3.2% loop [195] 4.7% for-loop [21] 6.5% ??? [35] 12.5% eval-prog [179] 26.2% loop [226] 37.5% [235] 114864(39.0%) 3560(1.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 38.5% bigfloat-hash [246] 25.5% ??? [7] 12.0% ??? [8] 6.5% ??? [6] 4.0% simplify [34] 3.9% ??? [247] 3.2% ??? [9] 2.4% ??? [10] 1.3% f134 [46] 0.7% ??? [11] 0.6% parse-loop12 [211] 0.3% ??? [13] 0.1% ------------------------------------------------------------------------------------------ option-on-expr [59] 1.0% override-at-pnts [164] 3.2% loop [226] 5.0% composed [205] 7.0% pred [120] 10.5% best-and-tied-at-points [158] 73.2% [236] 18020(6.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:184:0 for-loop [248] 72.7% eval-prog [179] 27.3% ------------------------------------------------------------------------------------------ for-loop [117] 5.6% merge-egraph-nodes! [94] 7.5% for-loop [85] 21.3% loop [226] 29.3% apply-match [70] 36.3% [237] 4770(1.6%) 1196(0.4%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [249] 34.6% loop [226] 33.6% set [251] 8.8% update-en-expr [253] 6.9% ------------------------------------------------------------------------------------------ ??? [231] 15.7% ??? [206] 84.3% [238] 2408(0.8%) 2204(0.7%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ??? [255] 8.5% ------------------------------------------------------------------------------------------ map-enodes [52] 7.1% loop [226] 92.9% [239] 1870(0.6%) 300(0.1%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [250] 75.4% setfindf [256] 8.6% ------------------------------------------------------------------------------------------ one-iter [48] 12.9% for-loop [93] 15.4% return/no-unsupplied [227] 71.7% [240] 1284(0.4%) 1284(0.4%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------------------------ ??? [234] 27.4% ??? [22] 33.1% ??? [208] 39.5% [241] 1154(0.4%) 204(0.1%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [252] 82.3% ------------------------------------------------------------------------------------------ make-multiplication-subnode [229] 100.0% [242] 1134(0.4%) 1134(0.4%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------------------------ for-loop [93] 47.9% loop [226] 52.1% [243] 1056(0.4%) 332(0.1%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [254] 68.6% ------------------------------------------------------------------------------------------ arity-checking-wrapper [233] 100.0% [244] 322(0.1%) 322(0.1%) matches-arity-exactly? ...te/arrow-common.rkt:70:0 ------------------------------------------------------------------------------------------ make-multiplication-subnode [229] 100.0% [245] 158(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:231:3 make-multiplication-subsubsubnode [257] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [235] 100.0% [246] 71702(24.3%) 724(0.2%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [258] 95.1% sig+exp->bigfloat [260] 3.6% bigfloat->sig+exp [270] 0.2% ------------------------------------------------------------------------------------------ hash-ref! [235] 100.0% [247] 18402(6.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:64:15 hash-ref! [235] 100.0% ------------------------------------------------------------------------------------------ errors [236] 100.0% [248] 13108(4.4%) 382(0.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:187:4 ??? [5] 87.1% ->flonum [26] 4.6% ??? [264] 2.7% ulp-difference [266] 2.6% ------------------------------------------------------------------------------------------ adopt-enode! [132] 8.0% loop! [237] 92.0% [249] 1962(0.7%) 156(0.1%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [262] 64.9% for-loop [265] 27.1% ------------------------------------------------------------------------------------------ for-loop [239] 100.0% [250] 1410(0.5%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:164:0 f134 [46] 57.7% ??? [259] 27.5% parse-app [261] 14.8% ------------------------------------------------------------------------------------------ new-enode [128] 20.2% loop! [237] 79.8% [251] 1138(0.4%) 1138(0.4%) set ...collects/racket/private/set-types.rkt:981:0 ------------------------------------------------------------------------------------------ ??? [241] 100.0% [252] 950(0.3%) 178(0.1%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [263] 81.3% ------------------------------------------------------------------------------------------ for-loop [154] 29.8% loop! [237] 70.2% [253] 934(0.3%) 934(0.3%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------------------------ foldl [243] 100.0% [254] 724(0.2%) 724(0.2%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------------------------ ??? [238] 100.0% [255] 204(0.1%) 204(0.1%) ??? ...ects/racket/contract/private/prop.rkt:256:4 ------------------------------------------------------------------------------------------ for-loop [239] 100.0% [256] 160(0.1%) 160(0.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:168:0 ------------------------------------------------------------------------------------------ for-loop [245] 100.0% [257] 158(0.1%) 158(0.1%) make-multiplication-subsubsubnode ...uce.rkt:251:0 ------------------------------------------------------------------------------------------ bigfloat-hash [246] 100.0% [258] 68196(23.1%) 67382(22.9%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [270] 1.2% ------------------------------------------------------------------------------------------ eval-const-expr [250] 2.5% ??? [22] 46.7% bf* [38] 50.7% [259] 15370(5.2%) 3556(1.2%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfdiv [267] 66.4% bfneg [268] 10.4% ------------------------------------------------------------------------------------------ bigfloat-hash [246] 100.0% [260] 2612(0.9%) 2086(0.7%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [272] 12.8% ??? [273] 7.4% ------------------------------------------------------------------------------------------ eval-const-expr [250] 11.4% eval-prog [179] 20.5% parse-loop12 [211] 68.2% [261] 1828(0.6%) 1478(0.5%) parse-app .../collects/racket/private/kw.rkt:951:2 loop [271] 19.1% ------------------------------------------------------------------------------------------ custom-set-union [249] 100.0% [262] 1274(0.4%) 194(0.1%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [269] 84.8% ------------------------------------------------------------------------------------------ ??? [252] 100.0% [263] 772(0.3%) 772(0.3%) ??? ...ects/racket/contract/private/list.rkt:141:5 ------------------------------------------------------------------------------------------ for-loop [171] 33.2% for-loop [248] 66.8% [264] 536(0.2%) 536(0.2%) ??? ...ket/collects/racket/private/for.rkt:1151:14 ------------------------------------------------------------------------------------------ custom-set-union [249] 100.0% [265] 532(0.2%) 532(0.2%) for-loop ...cts/racket/private/set-types.rkt:152:2 ------------------------------------------------------------------------------------------ for-loop [248] 100.0% [266] 344(0.1%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [134] 100.0% ------------------------------------------------------------------------------------------ ??? [259] 100.0% [267] 10208(3.5%) 8392(2.8%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [273] 17.8% ------------------------------------------------------------------------------------------ ??? [259] 100.0% [268] 1606(0.5%) 1236(0.4%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [273] 23.0% ------------------------------------------------------------------------------------------ for-loop [262] 100.0% [269] 1080(0.4%) 1080(0.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------------------------ bigfloat-hash [246] 17.3% bfcanonicalize [258] 82.7% [270] 984(0.3%) 218(0.1%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 size+limbs->integer [274] 60.6% new-mpz [275] 17.3% ------------------------------------------------------------------------------------------ loop [271] 19.6% parse-lambda [186] 21.5% parse-app [261] 29.4% new-lambda [185] 29.5% [271] 892(0.3%) 892(0.3%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [271] 19.6% ------------------------------------------------------------------------------------------ sig+exp->bigfloat [260] 100.0% [272] 334(0.1%) 334(0.1%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 ------------------------------------------------------------------------------------------ ??? [42] 5.3% sig+exp->bigfloat [260] 6.1% bfneg [268] 11.8% real->bigfloat [196] 18.9% bfdiv [267] 57.9% [273] 3138(1.1%) 3138(1.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------------------------ bigfloat->sig+exp [270] 100.0% [274] 596(0.2%) 596(0.2%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 ------------------------------------------------------------------------------------------ bigfloat->sig+exp [270] 100.0% [275] 170(0.1%) 170(0.1%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 ------------------------------------------------------------------------------------------