Profiling results ----------------- Total cpu time observed: 16058ms (out of 16468ms) Number of samples taken: 71 (once every 226ms) ============================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ============================================================================ ??? [30] 100.0% [1] 15454(96.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ---------------------------------------------------------------------------- ??? [30] 100.0% [2] 7536(46.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 95.1% get-final-combination [10] 4.9% ---------------------------------------------------------------------------- loop [62] 5.6% ??? [30] 94.4% [3] 6558(40.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 74.0% for-loop [9] 23.1% iterate-egraph!5 [13] 2.9% ---------------------------------------------------------------------------- loop [62] 100.0% [4] 212(1.3%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [64] 100.0% ---------------------------------------------------------------------------- hash-ref! [64] 100.0% [5] 188(1.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [11] 100.0% ---------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 15454(96.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ---------------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 7166(44.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [12] 100.0% ---------------------------------------------------------------------------- simplify [3] 100.0% [8] 4852(30.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [13] 95.2% loop [15] 4.8% ---------------------------------------------------------------------------- simplify [3] 100.0% [9] 1516(9.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [13] 100.0% ---------------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 370(2.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [14] 100.0% ---------------------------------------------------------------------------- taylor-invert [5] 100.0% [11] 188(1.2%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [64] 100.0% ---------------------------------------------------------------------------- for-loop [7] 100.0% [12] 7166(44.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 86.4% gen-series! [19] 5.3% localize-error [21] 3.0% choose-best-alt! [22] 2.7% finalize-iter! [23] 2.7% ---------------------------------------------------------------------------- simplify [3] 3.0% for-loop [9] 24.0% simplify-expr [8] 73.0% [13] 6326(39.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 93.9% map-enodes [18] 6.1% ---------------------------------------------------------------------------- get-final-combination [10] 100.0% [14] 370(2.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [62] 100.0% ---------------------------------------------------------------------------- simplify-expr [8] 100.0% [15] 232(1.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [20] 100.0% ---------------------------------------------------------------------------- run-iter! [12] 100.0% [16] 6188(38.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ---------------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [17] 5940(37.0%) 236(1.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [25] 49.7% for-loop [26] 43.1% apply-match [31] 3.3% ---------------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [18] 386(2.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [62] 100.0% ---------------------------------------------------------------------------- run-iter! [12] 100.0% [19] 382(2.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ---------------------------------------------------------------------------- loop [15] 100.0% [20] 232(1.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [29] 100.0% ---------------------------------------------------------------------------- run-iter! [12] 100.0% [21] 212(1.3%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [64] 100.0% ---------------------------------------------------------------------------- run-iter! [12] 100.0% [22] 192(1.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [27] 100.0% ---------------------------------------------------------------------------- run-iter! [12] 100.0% [23] 192(1.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ---------------------------------------------------------------------------- simplify! [16] 100.0% [24] 6188(38.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ---------------------------------------------------------------------------- one-iter [17] 100.0% [25] 2950(18.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% ---------------------------------------------------------------------------- for-loop [26] 50.0% one-iter [17] 50.0% [26] 2558(15.9%) 210(1.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [37] 45.9% ---------------------------------------------------------------------------- finalize-iter! [23] 50.0% choose-best-alt! [22] 50.0% [27] 384(2.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 atab-pick-alt8 [34] 50.0% for-loop [35] 50.0% ---------------------------------------------------------------------------- gen-series! [19] 100.0% [28] 382(2.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ---------------------------------------------------------------------------- pass [20] 100.0% [29] 232(1.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [33] 100.0% ---------------------------------------------------------------------------- for-loop [24] 13.2% run [6] 42.8% [30] 15632(97.3%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.8% loop [36] 26.5% run-improve58 [2] 17.5% simplify [3] 13.2% ---------------------------------------------------------------------------- one-iter [17] 6.2% loop [25] 93.8% [31] 3146(19.6%) 178(1.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [38] 44.8% match-e [37] 23.6% loop! [68] 13.2% for-loop [40] 6.5% substitute-e [41] 6.2% ---------------------------------------------------------------------------- for-loop [28] 100.0% [32] 382(2.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ---------------------------------------------------------------------------- for-loop [29] 100.0% [33] 232(1.4%) 232(1.4%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------------- ??? [27] 100.0% [34] 192(1.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [65] 100.0% ---------------------------------------------------------------------------- ??? [27] 100.0% [35] 192(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [42] 100.0% ---------------------------------------------------------------------------- ??? [30] 100.0% [36] 8096(50.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [51] 61.9% loop [43] 38.1% ---------------------------------------------------------------------------- for-loop [53] 14.8% apply-match [31] 18.3% for-loop [26] 66.8% [37] 3092(19.3%) 1130(7.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [44] 38.7% for-loop [53] 11.7% list-cartesian-product [55] 6.7% loop [62] 6.3% curry* [50] 5.9% ---------------------------------------------------------------------------- merge-egraph-nodes! [38] 6.4% apply-match [31] 93.6% [38] 1408(8.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [45] 51.8% loop! [68] 27.8% enode-merge! [48] 13.9% merge-egraph-nodes! [38] 6.4% ---------------------------------------------------------------------------- taylor-alt [32] 100.0% [39] 382(2.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% ---------------------------------------------------------------------------- apply-match [31] 100.0% [40] 204(1.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 mk-enode! [46] 100.0% ---------------------------------------------------------------------------- apply-match [31] 100.0% [41] 196(1.2%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [46] 100.0% ---------------------------------------------------------------------------- for-loop [35] 100.0% [42] 192(1.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [49] 100.0% ---------------------------------------------------------------------------- loop [36] 100.0% [43] 3088(19.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 72.7% make-exacts* [51] 27.3% ---------------------------------------------------------------------------- match-e [37] 100.0% [44] 1376(8.6%) 828(5.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [53] 19.7% foldl [71] 13.2% list-cartesian-product [55] 6.9% ---------------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [45] 820(5.1%) 196(1.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [54] 76.1% ---------------------------------------------------------------------------- substitute-e [41] 49.0% for-loop [40] 51.0% [46] 400(2.5%) 400(2.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------------- location-do [47] 50.0% for-loop [39] 50.0% [47] 382(2.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [47] 50.0% approximate9 [57] 50.0% ---------------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [48] 196(1.2%) 196(1.2%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 ---------------------------------------------------------------------------- atab-add-altn [42] 100.0% [49] 192(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [56] 100.0% ---------------------------------------------------------------------------- match-e [37] 100.0% [50] 182(1.1%) 182(1.1%) curry* ...racket/collects/racket/function.rkt:44:2 ---------------------------------------------------------------------------- loop [43] 14.4% loop [36] 85.6% [51] 5850(36.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [62] 58.5% map [58] 41.5% ---------------------------------------------------------------------------- loop [43] 100.0% [52] 2246(14.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [58] 100.0% ---------------------------------------------------------------------------- for-loop [44] 30.3% match-e [37] 69.7% [53] 916(5.7%) 176(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [37] 90.4% ---------------------------------------------------------------------------- update-leader! [45] 100.0% [54] 624(3.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [59] 100.0% ---------------------------------------------------------------------------- for-loop [44] 47.7% match-e [37] 52.3% [55] 398(2.5%) 398(2.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------------- best-and-tied-at-points [49] 50.0% composed [88] 50.0% [56] 384(2.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [60] 100.0% ---------------------------------------------------------------------------- location-do [47] 100.0% [57] 382(2.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [61] 100.0% ---------------------------------------------------------------------------- loop [52] 48.0% make-exacts* [51] 52.0% [58] 4676(29.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [62] 100.0% ---------------------------------------------------------------------------- for-loop [54] 100.0% [59] 624(3.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [63] 100.0% ---------------------------------------------------------------------------- errors [56] 100.0% [60] 384(2.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [67] 50.0% ??? [65] 50.0% ---------------------------------------------------------------------------- approximate9 [57] 100.0% [61] 382(2.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 iterate-diagonal [66] 50.8% hash-ref! [64] 49.2% ---------------------------------------------------------------------------- make-exacts* [51] 0.1% parse-loop12 [72] 0.1% ??? [67] 0.1% map-enodes [18] 0.4% extract-alt [14] 0.7% map [58] 0.8% match-e [37] 2.0% loop! [68] 5.2% loop [62] 90.7% [62] 9924(61.8%) 230(1.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [62] 90.7% loop! [68] 5.2% foldl [71] 2.0% ??? [67] 0.9% simplify [3] 0.7% for-loop [70] 0.4% ??? [4] 0.1% ??? [91] 0.0% bf* [86] 0.0% real->bigfloat [76] 0.0% ...e/case-arrow.rkt:150:50 [80] 0.0% ---------------------------------------------------------------------------- for-loop [59] 100.0% [63] 624(3.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [69] 100.0% ---------------------------------------------------------------------------- first-nonzero-exp [11] 9.4% loop [61] 9.4% localize-error [21] 17.7% ??? [75] 28.2% ??? [4] 35.3% [64] 400(2.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [72] 53.0% ??? [75] 28.2% taylor-invert [5] 9.4% simplify [74] 9.4% ---------------------------------------------------------------------------- for-loop [60] 50.0% atab-pick-alt8 [34] 50.0% [65] 384(2.4%) 192(1.2%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [73] 50.0% ---------------------------------------------------------------------------- loop [61] 100.0% [66] 194(1.2%) 194(1.2%) iterate-diagonal ...rbie/src/core/taylor.rkt:150:0 ---------------------------------------------------------------------------- for-loop [60] 2.3% loop [62] 97.7% [67] 8514(53.0%) 634(3.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [76] 43.2% ??? [77] 30.7% loop [62] 10.4% ??? [91] 5.1% ...e/case-arrow.rkt:150:50 [80] 3.2% ---------------------------------------------------------------------------- merge-egraph-nodes! [38] 24.3% apply-match [31] 25.7% loop [62] 50.0% [68] 808(5.0%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [62] 50.0% set [78] 39.1% update-en-expr [85] 10.9% ---------------------------------------------------------------------------- hash-update! [63] 100.0% [69] 624(3.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [79] 100.0% ---------------------------------------------------------------------------- loop [62] 100.0% [70] 386(2.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [81] 100.0% ---------------------------------------------------------------------------- for-loop [44] 48.1% loop [62] 51.9% [71] 378(2.4%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [82] 100.0% ---------------------------------------------------------------------------- hash-ref! [64] 100.0% [72] 212(1.3%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [62] 100.0% ---------------------------------------------------------------------------- ??? [65] 100.0% [73] 192(1.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [83] 100.0% ---------------------------------------------------------------------------- hash-ref! [64] 100.0% [74] 188(1.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 make-multiplication-node [84] 100.0% ---------------------------------------------------------------------------- hash-ref! [64] 100.0% [75] 188(1.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [64] 100.0% ---------------------------------------------------------------------------- loop [62] 6.4% ??? [67] 93.6% [76] 3928(24.5%) 3928(24.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ---------------------------------------------------------------------------- ??? [67] 100.0% [77] 2614(16.3%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [86] 65.0% ??? [90] 27.6% ...higher-order.rkt:373:33 [87] 7.3% ---------------------------------------------------------------------------- loop! [68] 100.0% [78] 632(3.9%) 632(3.9%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------------- ??? [69] 100.0% [79] 624(3.9%) 624(3.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------------- loop [62] 45.0% ??? [67] 55.0% [80] 498(3.1%) 498(3.1%) ...e/case-arrow.rkt:150:50 (unknown source) ---------------------------------------------------------------------------- for-loop [70] 100.0% [81] 386(2.4%) 386(2.4%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------------- foldl [71] 100.0% [82] 378(2.4%) 378(2.4%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------------- best-alt [73] 100.0% [83] 192(1.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [88] 100.0% ---------------------------------------------------------------------------- simplify [74] 100.0% [84] 188(1.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [89] 100.0% ---------------------------------------------------------------------------- loop! [68] 100.0% [85] 176(1.1%) 176(1.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------------- loop [62] 11.1% ??? [77] 88.9% [86] 1912(11.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ---------------------------------------------------------------------------- ??? [77] 100.0% [87] 192(1.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% ---------------------------------------------------------------------------- loop [83] 100.0% [88] 192(1.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [56] 100.0% ---------------------------------------------------------------------------- make-multiplication-node [84] 100.0% [89] 188(1.2%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [92] 100.0% ---------------------------------------------------------------------------- ??? [77] 27.4% bf* [86] 72.6% [90] 2634(16.4%) 256(1.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [93] 72.7% ??? [94] 17.5% ---------------------------------------------------------------------------- loop [62] 22.4% ...higher-order.rkt:373:33 [87] 23.9% ??? [67] 53.6% [91] 802(5.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% ---------------------------------------------------------------------------- make-multiplication-subnode [89] 100.0% [92] 188(1.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 make-multiplication-subsubsubnode [95]100.0% ---------------------------------------------------------------------------- ??? [90] 100.0% [93] 1916(11.9%) 908(5.7%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 52.6% ---------------------------------------------------------------------------- ??? [90] 36.6% ??? [91] 63.4% [94] 1264(7.9%) 404(2.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 68.0% ---------------------------------------------------------------------------- for-loop [92] 100.0% [95] 188(1.2%) 188(1.2%) make-multiplication-subsubsubnode ...uce.rkt:253:0 ---------------------------------------------------------------------------- bfmul [93] 100.0% [96] 1008(6.3%) 1008(6.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------------- ??? [94] 100.0% [97] 860(5.4%) 248(1.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 71.2% ---------------------------------------------------------------------------- ??? [97] 100.0% [98] 612(3.8%) 612(3.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------------