Profiling results ----------------- Total cpu time observed: 107972ms (out of 108872ms) Number of samples taken: 468 (once every 231ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 199 hidden) ================================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================ ??? [53] 100.0% [1] 104032(96.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [16] 100.0% -------------------------------------------------------------------------------- ??? [53] 100.0% [2] 65188(60.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [17] 44.5% get-final-combination [18] 42.7% finalize-table! [20] 10.4% loop [65] 2.0% errors [115] 0.3% -------------------------------------------------------------------------------- hash-ref! [139] 100.0% [3] 30814(28.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [131] 99.4% hash-ref! [139] 0.6% -------------------------------------------------------------------------------- loop [131] 3.4% ??? [53] 96.6% [4] 24930(23.1%) 218(0.2%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [19] 57.6% for-loop [21] 22.5% iterate-egraph!5 [29] 17.4% loop [33] 1.7% -------------------------------------------------------------------------------- copying-mergesort [78] 100.0% [5] 8644(8.0%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [105] 97.5% ->flonum [152] 2.5% -------------------------------------------------------------------------------- hash-ref! [139] 100.0% [6] 4608(4.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [31] 72.2% hash-ref! [139] 27.8% -------------------------------------------------------------------------------- hash-ref! [139] 100.0% [7] 3966(3.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [22] 100.0% -------------------------------------------------------------------------------- hash-ref! [139] 100.0% [8] 3332(3.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [23] 100.0% -------------------------------------------------------------------------------- hash-ref! [139] 100.0% [9] 2488(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [24] 100.0% -------------------------------------------------------------------------------- hash-ref! [139] 100.0% [10] 2032(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [25] 100.0% -------------------------------------------------------------------------------- loop [131] 100.0% [11] 1430(1.3%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [19] 100.0% -------------------------------------------------------------------------------- hash-ref! [139] 100.0% [12] 860(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [139] 62.0% for-loop [26] 38.0% -------------------------------------------------------------------------------- loop [131] 48.9% map [123] 51.1% [13] 826(0.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 taylor [151] 37.7% hash-ref! [139] 36.7% f94 [119] 13.4% map [123] 12.2% -------------------------------------------------------------------------------- f94 [119] 100.0% [14] 202(0.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [117] 100.0% -------------------------------------------------------------------------------- f94 [119] 100.0% [15] 202(0.2%) 0(0.0%) taylor-exp ...ock/herbie/src/core/taylor.rkt:386:0 simplify [114] 100.0% -------------------------------------------------------------------------------- profile-thunk14 [1] 99.8% [16] 104246(96.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [53] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 29028(26.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [27] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 27840(25.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [28] 97.0% extract-alt [34] 3.0% -------------------------------------------------------------------------------- completely-simplify-alt [11] 9.1% simplify [4] 90.9% [19] 15784(14.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [29] 93.4% loop [33] 6.6% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [20] 6800(6.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [30] 100.0% -------------------------------------------------------------------------------- simplify [4] 100.0% [21] 5604(5.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [29] 100.0% -------------------------------------------------------------------------------- ??? [7] 100.0% [22] 3966(3.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [31] 61.6% hash-ref! [139] 32.5% simplify [114] 5.9% -------------------------------------------------------------------------------- ??? [8] 100.0% [23] 3332(3.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [139] 100.0% -------------------------------------------------------------------------------- ??? [9] 100.0% [24] 2488(2.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [139] 82.4% simplify [114] 17.6% -------------------------------------------------------------------------------- ??? [10] 100.0% [25] 2032(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [32] 100.0% -------------------------------------------------------------------------------- ??? [12] 100.0% [26] 438(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [139] 100.0% -------------------------------------------------------------------------------- for-loop [17] 100.0% [27] 29028(26.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [36] 83.0% gen-series! [39] 10.7% finalize-iter! [41] 4.9% choose-best-alt! [43] 1.4% -------------------------------------------------------------------------------- get-final-combination [18] 100.0% [28] 27002(25.0%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [35] 96.9% ??? [51] 3.1% -------------------------------------------------------------------------------- simplify [4] 17.6% for-loop [21] 22.7% simplify-expr [19] 59.7% [29] 24678(22.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [37] 94.8% map-enodes [42] 5.2% -------------------------------------------------------------------------------- finalize-table! [20] 100.0% [30] 6800(6.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [38] 63.9% loop [131] 26.9% ??? [51] 6.2% localize-error [44] 3.0% -------------------------------------------------------------------------------- ??? [6] 39.8% for-loop [22] 60.2% [31] 3766(3.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [139] 100.0% -------------------------------------------------------------------------------- for-loop [25] 100.0% [32] 2032(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [139] 100.0% -------------------------------------------------------------------------------- simplify [4] 28.7% simplify-expr [19] 71.3% [33] 1464(1.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [40] 100.0% -------------------------------------------------------------------------------- get-final-combination [18] 100.0% [34] 838(0.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [131] 100.0% -------------------------------------------------------------------------------- split-table [28] 100.0% [35] 26156(24.2%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [45] 96.0% loop [131] 4.0% -------------------------------------------------------------------------------- run-iter! [27] 100.0% [36] 24092(22.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [46] 100.0% -------------------------------------------------------------------------------- iterate-egraph!5 [29] 100.0% [37] 23390(21.7%) 1100(1.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [47] 63.8% loop [48] 27.9% apply-match [56] 3.6% -------------------------------------------------------------------------------- post-process [30] 100.0% [38] 4344(4.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [49] 100.0% -------------------------------------------------------------------------------- run-iter! [27] 100.0% [39] 3112(2.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [50] 100.0% -------------------------------------------------------------------------------- loop [33] 100.0% [40] 1464(1.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [52] 100.0% -------------------------------------------------------------------------------- run-iter! [27] 100.0% [41] 1418(1.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [51] 100.0% -------------------------------------------------------------------------------- iterate-egraph!5 [29] 100.0% [42] 1288(1.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [131] 100.0% -------------------------------------------------------------------------------- run-iter! [27] 100.0% [43] 406(0.4%) 200(0.2%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [51] 50.7% -------------------------------------------------------------------------------- post-process [30] 50.0% loop [131] 50.0% [44] 404(0.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [139] 100.0% -------------------------------------------------------------------------------- loop [131] 4.0% infer-splitpoints4 [35] 96.0% [45] 26156(24.2%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [54] 90.0% pick-errors [57] 7.8% err-lsts->split-indices [62] 1.4% loop [131] 0.8% -------------------------------------------------------------------------------- simplify! [36] 100.0% [46] 24092(22.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [53] 100.0% -------------------------------------------------------------------------------- for-loop [47] 47.0% one-iter [37] 53.0% [47] 14914(13.8%) 4782(4.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [47] 47.0% match-e [67] 34.0% -------------------------------------------------------------------------------- one-iter [37] 100.0% [48] 6530(6.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [56] 100.0% -------------------------------------------------------------------------------- simplify-node [132] 2.4% f94 [119] 4.4% for-loop [38] 93.1% [49] 4546(4.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [55] 79.5% loop [131] 13.7% parse-loop50 [149] 6.9% -------------------------------------------------------------------------------- gen-series! [39] 100.0% [50] 3112(2.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [55] 100.0% -------------------------------------------------------------------------------- debug7 [122] 6.5% choose-best-alt! [43] 6.7% post-process [30] 13.6% split-table [28] 27.4% finalize-iter! [41] 45.9% [51] 3092(2.9%) 200(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [58] 59.5% split-atab [59] 27.4% atab-pick-alt8 [63] 6.7% -------------------------------------------------------------------------------- pass [40] 100.0% [52] 1464(1.4%) 436(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [60] 28.8% argmin [61] 27.6% filter [64] 13.8% -------------------------------------------------------------------------------- for-loop [46] 7.6% run [16] 44.9% [53] 107744(99.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.7% run-improve58 [2] 27.2% loop [65] 20.5% simplify [4] 7.6% -------------------------------------------------------------------------------- option-on-expr [45] 100.0% [54] 23552(21.8%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [66] 100.0% -------------------------------------------------------------------------------- loop [131] 8.3% for-loop [50] 41.7% append-map [49] 49.9% [55] 7456(6.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [68] 100.0% -------------------------------------------------------------------------------- one-iter [37] 11.5% loop [48] 88.5% [56] 7376(6.8%) 222(0.2%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [69] 29.4% match-e [67] 28.4% for-loop [72] 16.6% mk-enode! [97] 8.4% update-leader! [82] 5.7% loop! [142] 5.4% substitute-e [84] 3.0% -------------------------------------------------------------------------------- option-on-expr [45] 100.0% [57] 2044(1.9%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [70] 100.0% -------------------------------------------------------------------------------- ??? [51] 100.0% [58] 1840(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [71] 100.0% -------------------------------------------------------------------------------- ??? [51] 100.0% [59] 846(0.8%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [73] 100.0% -------------------------------------------------------------------------------- for-loop [52] 100.0% [60] 422(0.4%) 422(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------------- for-loop [52] 100.0% [61] 404(0.4%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [74] 100.0% -------------------------------------------------------------------------------- option-on-expr [45] 100.0% [62] 360(0.3%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [75] 100.0% -------------------------------------------------------------------------------- ??? [51] 100.0% [63] 206(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [76] 100.0% -------------------------------------------------------------------------------- for-loop [52] 100.0% [64] 202(0.2%) 202(0.2%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------------- run-improve58 [2] 3.0% ??? [53] 97.0% [65] 43858(40.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [77] 55.7% make-exacts* [92] 29.6% loop [94] 14.3% for-loop [87] 0.5% -------------------------------------------------------------------------------- sort-context-on-expr [54] 100.0% [66] 23552(21.8%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [78] 75.0% loop [93] 25.0% -------------------------------------------------------------------------------- for-loop [96] 8.6% apply-match [56] 14.7% for-loop [47] 76.7% [67] 12230(11.3%) 6378(5.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [80] 39.4% for-loop [96] 4.3% list-cartesian-product [99] 3.6% loop [131] 2.8% constant? [188] 2.0% -------------------------------------------------------------------------------- taylor-alt [55] 100.0% [68] 7456(6.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [79] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [69] 4.6% apply-match [56] 95.4% [69] 2168(2.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [82] 62.2% loop! [142] 14.8% enode-merge! [90] 9.2% for-loop [91] 9.2% merge-egraph-nodes! [69] 4.6% -------------------------------------------------------------------------------- pick-errors [57] 100.0% [70] 2044(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [118] 100.0% -------------------------------------------------------------------------------- for-loop [58] 100.0% [71] 1840(1.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [81] 100.0% -------------------------------------------------------------------------------- apply-match [56] 100.0% [72] 1226(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 mk-enode! [97] 34.6% loop! [142] 32.8% substitute-e [84] 32.6% -------------------------------------------------------------------------------- split-atab [59] 100.0% [73] 846(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [83] 75.7% for-loop [88] 24.3% -------------------------------------------------------------------------------- argmin [61] 100.0% [74] 404(0.4%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [85] 100.0% -------------------------------------------------------------------------------- err-lsts->split-indices [62] 100.0% [75] 360(0.3%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [86] 100.0% -------------------------------------------------------------------------------- atab-pick-alt8 [63] 100.0% [76] 206(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [89] 100.0% -------------------------------------------------------------------------------- loop [65] 100.0% [77] 24420(22.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [92] 45.0% loop [94] 28.5% eval-prog [118] 26.5% -------------------------------------------------------------------------------- sort [66] 43.9% copying-mergesort [78] 56.1% [78] 17672(16.4%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [78] 56.1% loop [93] 31.7% jloop [5] 12.2% -------------------------------------------------------------------------------- location-do [79] 32.5% for-loop [68] 67.5% [79] 7456(6.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [95] 67.5% location-do [79] 32.5% -------------------------------------------------------------------------------- match-e [67] 100.0% [80] 5128(4.7%) 2760(2.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [96] 24.6% list-cartesian-product [99] 10.5% loop [131] 8.5% curry* [101] 4.7% foldl [143] 2.1% -------------------------------------------------------------------------------- atab-add-altn [71] 100.0% [81] 1840(1.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [115] 100.0% -------------------------------------------------------------------------------- apply-match [56] 23.8% merge-egraph-nodes! [69] 76.2% [82] 1770(1.6%) 242(0.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [98] 74.9% custom-set-union! [104] 11.4% -------------------------------------------------------------------------------- for-loop [73] 100.0% [83] 640(0.6%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [100] 100.0% -------------------------------------------------------------------------------- apply-match [56] 35.3% for-loop [72] 64.7% [84] 618(0.6%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [97] 100.0% -------------------------------------------------------------------------------- expression-cost [74] 100.0% [85] 404(0.4%) 204(0.2%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [139] 49.5% -------------------------------------------------------------------------------- add-splitpoint [75] 100.0% [86] 360(0.3%) 360(0.3%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 -------------------------------------------------------------------------------- loop [65] 100.0% [87] 214(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [102] 100.0% -------------------------------------------------------------------------------- for-loop [73] 100.0% [88] 206(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:76:45 ??? [108] 100.0% -------------------------------------------------------------------------------- ??? [76] 100.0% [89] 206(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [103] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [90] 200(0.2%) 200(0.2%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 -------------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [91] 200(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [154] 100.0% -------------------------------------------------------------------------------- loop [77] 45.9% loop [65] 54.1% [92] 23956(22.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [123] 41.0% loop [131] 36.6% eval-prog [118] 22.4% -------------------------------------------------------------------------------- sort [66] 39.4% copying-mergesort [78] 60.6% [93] 14908(13.8%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [105] 98.5% ??? [140] 1.5% -------------------------------------------------------------------------------- loop [65] 47.3% loop [77] 52.7% [94] 13208(12.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [123] 100.0% -------------------------------------------------------------------------------- location-do [79] 100.0% [95] 7456(6.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [106] 83.8% f94 [119] 11.1% taylor-quotient [109] 5.2% -------------------------------------------------------------------------------- match-e [67] 33.3% for-loop [80] 66.7% [96] 2538(2.4%) 424(0.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [67] 83.3% -------------------------------------------------------------------------------- for-loop [72] 25.5% substitute-e [84] 37.1% apply-match [56] 37.4% [97] 1664(1.5%) 1464(1.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [113] 12.0% -------------------------------------------------------------------------------- update-leader! [82] 100.0% [98] 1326(1.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [107] 100.0% -------------------------------------------------------------------------------- list-cartesian-product [99] 9.2% match-e [67] 40.9% for-loop [80] 49.9% [99] 1082(1.0%) 1082(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [99] 9.2% -------------------------------------------------------------------------------- for-loop [83] 100.0% [100] 640(0.6%) 0(0.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [108] 100.0% -------------------------------------------------------------------------------- for-loop [80] 100.0% [101] 240(0.2%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [110] 100.0% -------------------------------------------------------------------------------- for-loop [87] 100.0% [102] 214(0.2%) 214(0.2%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 -------------------------------------------------------------------------------- best-alt [89] 100.0% [103] 206(0.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [111] 100.0% -------------------------------------------------------------------------------- update-leader! [82] 100.0% [104] 202(0.2%) 0(0.0%) custom-set-union! ...t/private/set-types.rkt:246:0 for-loop [112] 100.0% -------------------------------------------------------------------------------- jloop [5] 36.5% loop [93] 63.5% [105] 23114(21.4%) 202(0.2%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [118] 99.1% -------------------------------------------------------------------------------- approximate9 [95] 100.0% [106] 6246(5.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [139] 100.0% -------------------------------------------------------------------------------- for-loop [98] 100.0% [107] 1326(1.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [116] 100.0% -------------------------------------------------------------------------------- for-loop [88] 24.3% loop [100] 75.7% [108] 846(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/regimes.rkt:291:8 eval-prog [118] 75.7% ??? [140] 24.3% -------------------------------------------------------------------------------- f94 [119] 34.2% approximate9 [95] 65.8% [109] 584(0.5%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [114] 65.8% first-nonzero-exp [117] 34.2% -------------------------------------------------------------------------------- curry* [101] 100.0% [110] 240(0.2%) 240(0.2%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------------- loop [103] 100.0% [111] 206(0.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [115] 100.0% -------------------------------------------------------------------------------- custom-set-union! [104] 100.0% [112] 202(0.2%) 202(0.2%) for-loop ...cts/racket/private/set-types.rkt:254:4 -------------------------------------------------------------------------------- mk-enode! [97] 100.0% [113] 200(0.2%) 200(0.2%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------------- taylor-exp [15] 3.5% loop [131] 3.8% taylor-quotient [109] 6.6% for-loop [22] 7.4% for-loop [24] 7.5% hash-ref! [139] 71.2% [114] 5816(5.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [119] 47.2% parse-loop50 [149] 21.4% debug-print [163] 17.5% debug7 [122] 13.8% -------------------------------------------------------------------------------- loop [131] 8.1% composed [111] 8.4% run-improve58 [2] 8.8% best-and-tied-at-points [81] 74.7% [115] 2464(2.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [120] 83.0% eval-prog [118] 17.0% -------------------------------------------------------------------------------- for-loop [107] 100.0% [116] 1326(1.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [121] 100.0% -------------------------------------------------------------------------------- taylor-quotient [109] 49.8% taylor-invert [14] 50.2% [117] 402(0.4%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [139] 100.0% -------------------------------------------------------------------------------- errors [115] 1.1% ??? [108] 1.7% for-loop [70] 5.4% make-exacts* [92] 14.2% loop [77] 17.1% ??? [105] 60.5% [118] 37868(35.1%) 3774(3.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [139] 87.7% ??? [125] 1.1% go [128] 0.6% -------------------------------------------------------------------------------- ??? [13] 0.7% simplify-node [132] 0.8% for-loop [170] 2.1% loop [131] 2.3% approximate9 [95] 7.4% hash-ref! [139] 10.0% parse-loop50 [149] 12.9% map [123] 14.7% f94 [119] 20.1% simplify [114] 29.1% [119] 5236(4.8%) 1468(1.4%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [123] 52.3% f94 [119] 20.1% combine-mterms [129] 2.1% taylor-quotient [109] 1.9% taylor [151] 1.7% append-map [49] 0.8% taylor-invert [14] 0.4% taylor-exp [15] 0.2% -------------------------------------------------------------------------------- errors [115] 100.0% [120] 2046(1.9%) 424(0.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [140] 69.2% ->flonum [152] 10.1% -------------------------------------------------------------------------------- hash-update! [116] 100.0% [121] 1326(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [124] 81.7% make-sequence [127] 18.3% -------------------------------------------------------------------------------- simplify [114] 100.0% [122] 804(0.7%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [126] 47.8% ??? [130] 27.4% ??? [51] 24.9% -------------------------------------------------------------------------------- parse-loop50 [149] 0.2% ??? [13] 0.8% f94 [119] 13.1% make-exacts* [92] 36.7% loop [94] 49.3% [123] 26782(24.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [131] 86.7% f94 [119] 4.5% parse-loop50 [149] 3.7% ??? [13] 1.2% simplify-node [132] 1.1% make-addition-node [134] 0.9% taylor [151] 0.8% ->flonum [152] 0.8% make-multiplication-node [167] 0.4% ??? [168] 0.1% -------------------------------------------------------------------------------- ??? [121] 100.0% [124] 1084(1.0%) 864(0.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [154] 20.3% -------------------------------------------------------------------------------- eval-prog [118] 100.0% [125] 428(0.4%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [136] 51.4% gen [138] 48.6% -------------------------------------------------------------------------------- debug7 [122] 100.0% [126] 384(0.4%) 384(0.4%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 -------------------------------------------------------------------------------- ??? [121] 100.0% [127] 242(0.2%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [133] 100.0% -------------------------------------------------------------------------------- eval-prog [118] 100.0% [128] 220(0.2%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [135] 100.0% -------------------------------------------------------------------------------- f94 [119] 100.0% [129] 220(0.2%) 0(0.0%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [137] 100.0% -------------------------------------------------------------------------------- debug7 [122] 100.0% [130] 220(0.2%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [181] 100.0% -------------------------------------------------------------------------------- make-exacts* [92] 0.1% option-on-expr [45] 0.1% map-enodes [42] 0.1% taylor [151] 0.3% loop! [142] 0.3% for-loop [80] 0.4% post-process [30] 0.5% match-e [67] 0.6% append-map [49] 0.9% map [123] 0.9% extract-alt [34] 1.0% parse-loop50 [149] 1.4% infer-splitpoints4 [35] 1.5% ??? [3] 37.6% loop [131] 54.3% [131] 70956(65.7%) 846(0.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [131] 54.3% hash-ref! [139] 37.6% option-on-expr [45] 1.5% simplify [4] 1.0% ??? [140] 1.0% taylor-alt [55] 0.9% parse-loop50 [149] 0.7% f94 [119] 0.6% completely-simplify-alt [11] 0.4% simplify [114] 0.3% loop! [142] 0.3% for-loop [141] 0.1% errors [115] 0.1% foldl [143] 0.1% ??? [13] 0.1% ->flonum [152] 0.0% localize-error [44] 0.0% bfcube [145] 0.0% -------------------------------------------------------------------------------- map [123] 100.0% [132] 422(0.4%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [49] 52.1% f94 [119] 47.9% -------------------------------------------------------------------------------- make-sequence [127] 100.0% [133] 242(0.2%) 242(0.2%) ??? ...acket/collects/racket/private/for.rkt:428:7 -------------------------------------------------------------------------------- map [123] 100.0% [134] 232(0.2%) 0(0.0%) make-addition-node ...ie/src/core/reduce.rkt:199:0 partition [144] 100.0% -------------------------------------------------------------------------------- go [128] 33.3% loop [135] 66.7% [135] 220(0.2%) 220(0.2%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [135] 66.7% -------------------------------------------------------------------------------- ??? [125] 100.0% [136] 220(0.2%) 220(0.2%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 -------------------------------------------------------------------------------- combine-mterms [129] 100.0% [137] 220(0.2%) 220(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 -------------------------------------------------------------------------------- ??? [125] 100.0% [138] 208(0.2%) 208(0.2%) gen ...ollects/racket/private/qq-and-or.rkt:185:13 -------------------------------------------------------------------------------- compile [85] 0.1% for-loop [26] 0.1% ??? [12] 0.3% localize-error [44] 0.4% ??? [3] 0.4% for-loop [32] 0.5% for-loop [24] 0.5% ??? [6] 0.6% first-nonzero-exp [117] 0.6% ??? [13] 0.6% for-loop [22] 0.8% for-loop [23] 2.2% ??? [31] 3.1% loop [106] 3.2% ??? [148] 4.0% eval-prog [118] 34.1% loop [131] 48.4% [139] 40276(37.3%) 200(0.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [3] 48.8% bigfloat-hash [146] 34.1% ??? [148] 4.0% ??? [7] 2.9% ??? [8] 2.2% simplify [114] 1.9% ??? [6] 1.7% f94 [119] 1.3% parse-loop50 [149] 0.8% ??? [9] 0.7% ??? [10] 0.5% ??? [12] 0.4% taylor [151] 0.4% -------------------------------------------------------------------------------- ??? [108] 0.6% loop [93] 0.7% for-loop [120] 4.3% loop [131] 94.4% [140] 33214(30.8%) 888(0.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [147] 88.0% real->bigfloat [150] 6.2% ->flonum [152] 1.8% ??? [181] 0.7% -------------------------------------------------------------------------------- loop [131] 100.0% [141] 1288(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [153] 67.1% compose [157] 17.2% eval-const-expr [158] 15.7% -------------------------------------------------------------------------------- loop [131] 16.4% apply-match [56] 24.5% for-loop [72] 24.6% merge-egraph-nodes! [69] 34.4% [142] 1222(1.1%) 200(0.2%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [155] 50.7% loop [131] 32.8% update-en-expr [154] 8.3% -------------------------------------------------------------------------------- for-loop [80] 49.8% loop [131] 50.2% [143] 442(0.4%) 220(0.2%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [156] 50.2% -------------------------------------------------------------------------------- make-addition-node [134] 100.0% [144] 232(0.2%) 232(0.2%) partition ...racket/collects/racket/list.rkt:547:0 -------------------------------------------------------------------------------- loop [131] 100.0% [145] 202(0.2%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [160] 100.0% -------------------------------------------------------------------------------- hash-ref! [139] 100.0% [146] 33226(30.8%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [159] 93.2% sig+exp->bigfloat [162] 6.8% -------------------------------------------------------------------------------- ??? [140] 100.0% [147] 29244(27.1%) 1516(1.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [172] 55.7% bf* [160] 21.4% ...higher-order.rkt:373:33 [161] 14.0% bf<= [165] 2.3% ??? [164] 0.7% -------------------------------------------------------------------------------- hash-ref! [139] 100.0% [148] 4178(3.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [139] 100.0% -------------------------------------------------------------------------------- loop [131] 7.2% append-map [49] 8.9% hash-ref! [139] 11.5% parse-loop50 [149] 17.8% simplify [114] 20.5% map [123] 34.1% [149] 3518(3.3%) 1670(1.5%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [131] 30.0% f94 [119] 17.9% parse-loop50 [149] 17.8% make-multiplication-node [167] 5.7% for-loop [170] 3.1% map [123] 2.9% ??? [168] 1.4% -------------------------------------------------------------------------------- ??? [140] 100.0% [150] 2044(1.9%) 2044(1.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 -------------------------------------------------------------------------------- map [123] 13.9% hash-ref! [139] 27.0% ??? [13] 28.9% f94 [119] 30.2% [151] 1458(1.4%) 392(0.4%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [163] 58.0% loop [131] 15.1% -------------------------------------------------------------------------------- map [123] 13.9% for-loop [120] 14.2% jloop [5] 14.9% loop [131] 15.2% ??? [140] 41.8% [152] 1450(1.3%) 220(0.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [164] 70.9% ??? [186] 13.9% -------------------------------------------------------------------------------- for-loop [141] 100.0% [153] 864(0.8%) 642(0.6%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [169] 25.7% -------------------------------------------------------------------------------- for-loop [91] 32.2% loop! [142] 32.5% for-loop [124] 35.4% [154] 622(0.6%) 622(0.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------------- loop! [142] 100.0% [155] 620(0.6%) 200(0.2%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [166] 67.7% -------------------------------------------------------------------------------- foldl [143] 100.0% [156] 222(0.2%) 222(0.2%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------------- for-loop [141] 100.0% [157] 222(0.2%) 222(0.2%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------------- for-loop [141] 100.0% [158] 202(0.2%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [171] 100.0% -------------------------------------------------------------------------------- bigfloat-hash [146] 100.0% [159] 30956(28.7%) 30734(28.5%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [177] 0.7% -------------------------------------------------------------------------------- bfcube [145] 3.1% ??? [147] 96.9% [160] 6462(6.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [172] 100.0% -------------------------------------------------------------------------------- ??? [147] 100.0% [161] 4090(3.8%) 256(0.2%) ...higher-order.rkt:373:33 (unknown source) ??? [173] 75.8% ??? [181] 17.9% -------------------------------------------------------------------------------- bigfloat-hash [146] 100.0% [162] 2270(2.1%) 2060(1.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [187] 9.3% -------------------------------------------------------------------------------- taylor [151] 45.3% simplify [114] 54.7% [163] 1866(1.7%) 616(0.6%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [174] 67.0% -------------------------------------------------------------------------------- ??? [147] 16.2% ->flonum [152] 83.8% [164] 1226(1.1%) 1226(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------------- ??? [147] 100.0% [165] 686(0.6%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [186] 100.0% -------------------------------------------------------------------------------- custom-set-union [155] 100.0% [166] 420(0.4%) 220(0.2%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [179] 47.6% -------------------------------------------------------------------------------- map [123] 49.8% parse-loop50 [149] 50.2% [167] 402(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [175] 100.0% -------------------------------------------------------------------------------- map [123] 49.8% parse-loop50 [149] 50.2% [168] 402(0.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [176] 100.0% -------------------------------------------------------------------------------- setfindf [153] 100.0% [169] 222(0.2%) 222(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------------- parse-loop50 [149] 100.0% [170] 220(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f94 [119] 100.0% -------------------------------------------------------------------------------- eval-const-expr [158] 100.0% [171] 202(0.2%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [178] 100.0% -------------------------------------------------------------------------------- bf* [160] 28.4% ??? [147] 71.6% [172] 22758(21.1%) 4604(4.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [180] 59.7% bfsqr [182] 11.3% ??? [186] 8.8% -------------------------------------------------------------------------------- ...higher-order.rkt:373:33 [161] 100.0% [173] 3100(2.9%) 680(0.6%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [181] 78.1% -------------------------------------------------------------------------------- debug-print [163] 100.0% [174] 1250(1.2%) 1250(1.2%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------------- make-multiplication-node [167] 100.0% [175] 402(0.4%) 200(0.2%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [184] 50.2% -------------------------------------------------------------------------------- ??? [168] 100.0% [176] 402(0.4%) 200(0.2%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [185] 50.2% -------------------------------------------------------------------------------- bfcanonicalize [159] 100.0% [177] 222(0.2%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 size+limbs->integer [183] 100.0% -------------------------------------------------------------------------------- inductor [178] 50.0% expression-induct31 [171] 50.0% [178] 202(0.2%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [178] 50.0% ??? [181] 50.0% -------------------------------------------------------------------------------- for-loop [166] 100.0% [179] 200(0.2%) 200(0.2%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------------- ??? [172] 100.0% [180] 13578(12.6%) 9176(8.5%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [187] 32.4% -------------------------------------------------------------------------------- inductor [178] 5.3% ??? [130] 5.8% ??? [140] 5.9% ...higher-order.rkt:373:33 [161] 19.3% ??? [173] 63.7% [181] 3800(3.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [186] 94.2% dict? [189] 5.8% -------------------------------------------------------------------------------- ??? [172] 100.0% [182] 2580(2.4%) 2120(2.0%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [187] 17.8% -------------------------------------------------------------------------------- bigfloat->sig+exp [177] 100.0% [183] 222(0.2%) 222(0.2%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 -------------------------------------------------------------------------------- make-multiplication-subnode [175] 100.0% [184] 202(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 make-multiplication-subsubsubnode [190]100.0% -------------------------------------------------------------------------------- for-loop [176] 100.0% [185] 202(0.2%) 0(0.0%) pattern-match .../herbie/src/core/matcher.rkt:47:0 constant? [188] 100.0% -------------------------------------------------------------------------------- ->flonum [152] 3.1% bf<= [165] 10.6% ??? [172] 30.9% ??? [181] 55.4% [186] 6464(6.0%) 2576(2.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [191] 56.7% ??? [192] 3.5% -------------------------------------------------------------------------------- sig+exp->bigfloat [162] 4.1% bfsqr [182] 9.1% bfmul [180] 86.8% [187] 5072(4.7%) 5072(4.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------------- pattern-match [185] 45.5% match-e [67] 54.5% [188] 444(0.4%) 444(0.4%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------------- ??? [181] 100.0% [189] 220(0.2%) 220(0.2%) dict? ...ollects/racket/private/generic.rkt:146:11 -------------------------------------------------------------------------------- make-multiplication-subsubsubnode [190] 50.0% for-loop [184] 50.0% [190] 202(0.2%) 202(0.2%) make-multiplication-subsubsubnode ...uce.rkt:253:0 make-multiplication-subsubsubnode [190] 50.0% -------------------------------------------------------------------------------- ??? [186] 100.0% [191] 3664(3.4%) 2470(2.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [193] 32.6% -------------------------------------------------------------------------------- ??? [186] 100.0% [192] 224(0.2%) 224(0.2%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -------------------------------------------------------------------------------- ??? [191] 100.0% [193] 1194(1.1%) 1194(1.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------------