Profiling results ----------------- Total cpu time observed: 21502ms (out of 21836ms) Number of samples taken: 94 (once every 229ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 97 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [8] 100.0% [1] 21300(99.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ----------------------------------------------------------------------- hash-ref! [42] 100.0% [2] 1410(6.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [6] 100.0% ----------------------------------------------------------------------- hash-ref! [42] 100.0% [3] 202(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [7] 100.0% ----------------------------------------------------------------------- loop [56] 100.0% [4] 200(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [42] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 21300(99.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [8] 100.0% ----------------------------------------------------------------------- ??? [2] 100.0% [6] 1410(6.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [9] 100.0% ----------------------------------------------------------------------- ??? [3] 100.0% [7] 202(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [42] 100.0% ----------------------------------------------------------------------- for-loop [28] 1.0% run [5] 49.1% [8] 21502(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.1% loop [10] 40.0% run-improve58 [11] 9.9% simplify [22] 1.0% ----------------------------------------------------------------------- for-loop [6] 100.0% [9] 1410(6.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [42] 100.0% ----------------------------------------------------------------------- ??? [8] 100.0% [10] 17220(80.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [16] 40.5% loop [12] 38.7% loop [17] 20.8% ----------------------------------------------------------------------- ??? [8] 100.0% [11] 4282(19.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [13] 56.8% for-loop [14] 37.9% setup-prog [15] 5.3% ----------------------------------------------------------------------- loop [10] 100.0% [12] 6664(31.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [17] 58.7% make-exacts* [16] 41.3% ----------------------------------------------------------------------- run-improve58 [11] 100.0% [13] 2432(11.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [18] 100.0% ----------------------------------------------------------------------- run-improve58 [11] 100.0% [14] 1622(7.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ----------------------------------------------------------------------- run-improve58 [11] 100.0% [15] 228(1.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [20] 100.0% ----------------------------------------------------------------------- loop [12] 28.3% loop [10] 71.7% [16] 9732(45.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [56] 51.7% map [50] 48.3% ----------------------------------------------------------------------- loop [10] 47.8% loop [12] 52.2% [17] 7488(34.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [50] 100.0% ----------------------------------------------------------------------- finalize-table! [13] 100.0% [18] 2432(11.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [21] 66.2% loop [56] 25.6% localize-error [26] 8.2% ----------------------------------------------------------------------- for-loop [14] 100.0% [19] 1622(7.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [23] 38.0% gen-series! [24] 37.2% finalize-iter! [25] 24.8% ----------------------------------------------------------------------- setup-prog [15] 100.0% [20] 228(1.1%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [22] 100.0% ----------------------------------------------------------------------- post-process [18] 100.0% [21] 1610(7.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [27] 100.0% ----------------------------------------------------------------------- simplify-alt [20] 27.0% ??? [8] 73.0% [22] 844(3.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [66] 73.0% iterate-egraph!5 [72] 27.0% ----------------------------------------------------------------------- run-iter! [19] 100.0% [23] 616(2.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% ----------------------------------------------------------------------- run-iter! [19] 100.0% [24] 604(2.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ----------------------------------------------------------------------- run-iter! [19] 100.0% [25] 402(1.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ----------------------------------------------------------------------- post-process [18] 100.0% [26] 200(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [42] 100.0% ----------------------------------------------------------------------- f16 [47] 5.6% simplify-node [57] 11.0% for-loop [21] 83.4% [27] 1810(8.4%) 202(0.9%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [31] 77.8% parse-loop50 [46] 11.0% loop [56] 5.6% ----------------------------------------------------------------------- simplify! [23] 100.0% [28] 616(2.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [8] 100.0% ----------------------------------------------------------------------- gen-series! [24] 100.0% [29] 604(2.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [31] 100.0% ----------------------------------------------------------------------- finalize-iter! [25] 100.0% [30] 402(1.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 100.0% ----------------------------------------------------------------------- loop [56] 9.1% for-loop [29] 27.3% append-map [27] 63.6% [31] 2214(10.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [33] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [32] 402(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [34] 100.0% ----------------------------------------------------------------------- taylor-alt [31] 100.0% [33] 2214(10.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [35] 100.0% ----------------------------------------------------------------------- for-loop [32] 100.0% [34] 402(1.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [36] 100.0% ----------------------------------------------------------------------- location-do [35] 36.3% for-loop [33] 63.7% [35] 2214(10.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [37] 54.6% location-do [35] 36.3% simplify [43] 9.0% ----------------------------------------------------------------------- atab-add-altn [34] 100.0% [36] 402(1.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [38] 100.0% ----------------------------------------------------------------------- location-do [35] 100.0% [37] 2014(9.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [39] 90.1% f16 [47] 9.9% ----------------------------------------------------------------------- best-and-tied-at-points [36] 100.0% [38] 402(1.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [40] 50.2% eval-prog [41] 49.8% ----------------------------------------------------------------------- approximate9 [37] 100.0% [39] 1814(8.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [42] 100.0% ----------------------------------------------------------------------- errors [38] 100.0% [40] 202(0.9%) 202(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ----------------------------------------------------------------------- errors [38] 100.0% [41] 200(0.9%) 200(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- for-loop [7] 1.7% for-loop [52] 1.7% ??? [4] 5.0% localize-error [26] 5.0% ??? [9] 21.7% ??? [44] 31.7% loop [39] 31.7% [42] 2014(9.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [44] 31.7% simplify [43] 26.7% ??? [2] 21.7% ??? [45] 6.7% parse-loop50 [46] 5.0% f16 [47] 5.0% ??? [3] 1.7% ----------------------------------------------------------------------- location-do [35] 9.9% taylor-sqrt [60] 9.9% hash-ref! [42] 80.1% [43] 2012(9.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [46] 80.0% f16 [47] 20.0% ----------------------------------------------------------------------- hash-ref! [42] 100.0% [44] 1814(8.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [42] 100.0% ----------------------------------------------------------------------- hash-ref! [42] 100.0% [45] 404(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 partition-list [48] 50.0% for-loop [49] 50.0% ----------------------------------------------------------------------- loop [56] 5.8% append-map [27] 10.0% hash-ref! [42] 10.0% parse-loop50 [46] 22.5% simplify [43] 51.7% [46] 2010(9.3%) 1208(5.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [46] 22.5% loop [56] 20.8% simplify-node [57] 10.0% make-multiplication-node [55] 10.0% ----------------------------------------------------------------------- composed [53] 5.0% f16 [47] 10.0% approximate9 [37] 10.0% map [50] 10.1% hash-ref! [42] 20.0% loop [56] 20.0% simplify [43] 25.0% [47] 1002(4.7%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [50] 60.0% compose [54] 20.0% f16 [47] 10.0% composed [53] 5.0% append-map [27] 5.0% ----------------------------------------------------------------------- ??? [45] 100.0% [48] 202(0.9%) 0(0.0%) partition-list ...herbie/src/core/taylor.rkt:376:0 rle [51] 100.0% ----------------------------------------------------------------------- ??? [45] 100.0% [49] 202(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [52] 100.0% ----------------------------------------------------------------------- f16 [47] 6.2% make-exacts* [16] 36.2% loop [17] 57.7% [50] 12988(60.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [56] 95.4% f16 [47] 1.6% taylor-sqrt [60] 1.5% simplify-node [57] 1.5% ----------------------------------------------------------------------- partition-list [48] 100.0% [51] 202(0.9%) 0(0.0%) rle ...e/ztatlock/herbie/src/core/taylor.rkt:372:0 group-by68 [58] 100.0% ----------------------------------------------------------------------- for-loop [49] 100.0% [52] 202(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [42] 100.0% ----------------------------------------------------------------------- f16 [47] 100.0% [53] 202(0.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f16 [47] 100.0% ----------------------------------------------------------------------- f16 [47] 100.0% [54] 200(0.9%) 200(0.9%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------- parse-loop50 [46] 100.0% [55] 200(0.9%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [59]100.0% ----------------------------------------------------------------------- append-map [27] 1.1% post-process [18] 1.3% make-exacts* [16] 2.4% parse-loop50 [46] 2.6% map [50] 3.6% loop [56] 89.0% [56] 18846(87.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [56] 89.0% ??? [61] 5.9% parse-loop50 [46] 1.4% completely-simplify-alt [63] 1.3% taylor-alt [31] 1.1% f16 [47] 1.1% ??? [4] 0.1% ??? [71] 0.1% ->flonum [62] 0.0% ----------------------------------------------------------------------- map [50] 49.8% parse-loop50 [46] 50.2% [57] 402(1.9%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 combine-aterms [64] 50.2% append-map [27] 49.8% ----------------------------------------------------------------------- rle [51] 100.0% [58] 202(0.9%) 202(0.9%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------- make-multiplication-node [55] 100.0% [59] 200(0.9%) 200(0.9%) make-multiplication-subnode ...re/reduce.rkt:231:0 ----------------------------------------------------------------------- map [50] 100.0% [60] 200(0.9%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [43] 100.0% ----------------------------------------------------------------------- loop [56] 100.0% [61] 16354(76.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [65] 89.3% ??? [80] 4.8% real->bigfloat [67] 4.6% ...e/case-arrow.rkt:150:50 [69] 1.3% ----------------------------------------------------------------------- loop [56] 100.0% [62] 866(4.0%) 226(1.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [84] 46.7% ??? [68] 27.3% ----------------------------------------------------------------------- loop [56] 100.0% [63] 622(2.9%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [66] 100.0% ----------------------------------------------------------------------- simplify-node [57] 100.0% [64] 202(0.9%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [70] 100.0% ----------------------------------------------------------------------- ??? [61] 100.0% [65] 14596(67.9%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [71] 95.5% ...higher-order.rkt:373:33 [73] 4.5% ----------------------------------------------------------------------- simplify [22] 49.8% completely-simplify-alt [63] 50.2% [66] 1238(5.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [72] 100.0% ----------------------------------------------------------------------- ??? [61] 100.0% [67] 750(3.5%) 278(1.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [79] 62.9% ----------------------------------------------------------------------- ->flonum [62] 100.0% [68] 236(1.1%) 236(1.1%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ----------------------------------------------------------------------- ??? [61] 100.0% [69] 220(1.0%) 220(1.0%) ...e/case-arrow.rkt:150:50 (unknown source) ----------------------------------------------------------------------- combine-aterms [64] 100.0% [70] 202(0.9%) 202(0.9%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 ----------------------------------------------------------------------- loop [56] 1.4% ??? [65] 98.6% [71] 14142(65.8%) 9460(44.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqr [74] 15.0% bfsub [75] 14.8% ??? [84] 3.3% ----------------------------------------------------------------------- simplify [22] 15.6% simplify-expr [66] 84.4% [72] 1466(6.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [76] 70.8% map-enodes [78] 29.2% ----------------------------------------------------------------------- ??? [65] 100.0% [73] 654(3.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [77] 67.3% ??? [80] 32.7% ----------------------------------------------------------------------- ??? [71] 100.0% [74] 2120(9.9%) 1406(6.5%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [79] 33.7% ----------------------------------------------------------------------- ??? [71] 100.0% [75] 2096(9.7%) 1424(6.6%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [79] 32.1% ----------------------------------------------------------------------- iterate-egraph!5 [72] 100.0% [76] 1038(4.8%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [81] 80.5% apply-match [83] 19.5% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [73] 100.0% [77] 440(2.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [80] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [72] 100.0% [78] 428(2.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [82] 100.0% ----------------------------------------------------------------------- real->bigfloat [67] 25.4% bfsub [75] 36.2% bfsqr [74] 38.4% [79] 1858(8.6%) 1858(8.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [73] 14.8% ??? [77] 30.5% ??? [61] 54.6% [80] 1442(6.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [84] 100.0% ----------------------------------------------------------------------- for-loop [81] 50.0% one-iter [76] 50.0% [81] 836(3.9%) 214(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [81] 50.0% match-e [85] 37.2% ----------------------------------------------------------------------- map-enodes [78] 100.0% [82] 428(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [86] 53.3% setfindf [88] 46.7% ----------------------------------------------------------------------- one-iter [76] 100.0% [83] 202(0.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [87] 100.0% ----------------------------------------------------------------------- ->flonum [62] 17.5% ??? [71] 20.2% ??? [80] 62.4% [84] 2312(10.8%) 1658(7.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [89] 28.3% ----------------------------------------------------------------------- for-loop [81] 100.0% [85] 622(2.9%) 420(2.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [92] 32.5% ----------------------------------------------------------------------- for-loop [82] 100.0% [86] 228(1.1%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [90] 100.0% ----------------------------------------------------------------------- apply-match [83] 100.0% [87] 202(0.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [91] 100.0% ----------------------------------------------------------------------- for-loop [82] 100.0% [88] 200(0.9%) 200(0.9%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ----------------------------------------------------------------------- ??? [84] 100.0% [89] 654(3.0%) 218(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 66.7% ----------------------------------------------------------------------- eval-const-expr [86] 100.0% [90] 228(1.1%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [94] 100.0% ----------------------------------------------------------------------- substitute-e [87] 100.0% [91] 202(0.9%) 202(0.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- match-e [85] 100.0% [92] 202(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [95] 100.0% ----------------------------------------------------------------------- ??? [89] 100.0% [93] 436(2.0%) 436(2.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------- inductor [94] 50.0% expression-induct31 [90] 50.0% [94] 228(1.1%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [94] 50.0% integer->bigfloat [96] 50.0% ----------------------------------------------------------------------- for-loop [92] 100.0% [95] 202(0.9%) 202(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 ----------------------------------------------------------------------- inductor [94] 100.0% [96] 228(1.1%) 228(1.1%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 -----------------------------------------------------------------------