Profiling results ----------------- Total cpu time observed: 16472ms (out of 16864ms) Number of samples taken: 79 (once every 209ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [34] 100.0% [1] 15498(94.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% --------------------------------------------------------------------- ??? [34] 100.0% [2] 9626(58.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 96.7% get-final-combination [15] 3.3% --------------------------------------------------------------------- loop [78] 3.8% ??? [34] 96.2% [3] 8302(50.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 59.4% iterate-egraph!5 [17] 24.1% for-loop [11] 16.5% --------------------------------------------------------------------- hash-ref! [71] 100.0% [4] 398(2.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [13] 100.0% --------------------------------------------------------------------- hash-ref! [71] 100.0% [5] 398(2.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% --------------------------------------------------------------------- location-do [52] 100.0% [6] 398(2.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [14] 100.0% --------------------------------------------------------------------- loop [78] 100.0% [7] 196(1.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [71] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 15498(94.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [34] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 9310(56.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [10] 4934(30.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 95.9% loop [19] 4.1% --------------------------------------------------------------------- simplify [3] 100.0% [11] 1368(8.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [12] 398(2.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [71] 100.0% --------------------------------------------------------------------- simplify [4] 100.0% [13] 398(2.4%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [65] 100.0% --------------------------------------------------------------------- approximate9 [6] 100.0% [14] 398(2.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [71] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 316(1.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% --------------------------------------------------------------------- for-loop [9] 100.0% [16] 9310(56.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 89.6% gen-series! [23] 4.3% finalize-iter! [24] 4.0% localize-error [26] 2.1% --------------------------------------------------------------------- for-loop [11] 16.9% simplify [3] 24.7% simplify-expr [10] 58.4% [17] 8102(49.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [21] 92.2% map-enodes [22] 7.8% --------------------------------------------------------------------- get-final-combination [15] 100.0% [18] 316(1.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [78] 100.0% --------------------------------------------------------------------- simplify-expr [10] 100.0% [19] 200(1.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [25] 100.0% --------------------------------------------------------------------- run-iter! [16] 100.0% [20] 8344(50.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [21] 7468(45.3%) 422(2.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 52.3% loop [29] 33.8% apply-match [35] 5.6% loop [32] 2.7% --------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [22] 634(3.8%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [78] 100.0% --------------------------------------------------------------------- run-iter! [16] 100.0% [23] 398(2.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% --------------------------------------------------------------------- run-iter! [16] 100.0% [24] 372(2.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [31] 100.0% --------------------------------------------------------------------- loop [19] 100.0% [25] 200(1.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [33] 100.0% --------------------------------------------------------------------- run-iter! [16] 100.0% [26] 196(1.2%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [71] 100.0% --------------------------------------------------------------------- simplify! [20] 100.0% [27] 8344(50.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [34] 95.7% debug-print [37] 4.3% --------------------------------------------------------------------- for-loop [28] 50.0% one-iter [21] 50.0% [28] 3904(23.7%) 1412(8.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [42] 31.9% --------------------------------------------------------------------- one-iter [21] 100.0% [29] 2522(15.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 100.0% --------------------------------------------------------------------- gen-series! [23] 100.0% [30] 398(2.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [36] 100.0% --------------------------------------------------------------------- finalize-iter! [24] 100.0% [31] 372(2.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 atab-add-altns [39] 52.7% for-loop [40] 47.3% --------------------------------------------------------------------- one-iter [21] 100.0% [32] 200(1.2%) 200(1.2%) loop ...ket/collects/racket/private/list.rkt:264:4 --------------------------------------------------------------------- pass [25] 100.0% [33] 200(1.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [38] 100.0% --------------------------------------------------------------------- for-loop [27] 17.0% run [8] 40.0% [34] 16278(98.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.0% run-improve58 [2] 22.5% loop [41] 20.4% simplify [3] 17.0% --------------------------------------------------------------------- one-iter [21] 14.3% loop [29] 85.7% [35] 2942(17.9%) 202(1.2%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [42] 41.9% merge-egraph-nodes! [43] 25.5% for-loop [44] 15.0% substitute-e [51] 10.7% --------------------------------------------------------------------- for-loop [30] 100.0% [36] 398(2.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [45] 100.0% --------------------------------------------------------------------- for-loop [27] 100.0% [37] 358(2.2%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [47] 100.0% --------------------------------------------------------------------- for-loop [33] 100.0% [38] 200(1.2%) 200(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 --------------------------------------------------------------------- ??? [31] 100.0% [39] 196(1.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [46] 100.0% --------------------------------------------------------------------- ??? [31] 100.0% [40] 176(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [46] 100.0% --------------------------------------------------------------------- ??? [34] 100.0% [41] 6652(40.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [48] 53.5% make-exacts* [56] 46.5% --------------------------------------------------------------------- for-loop [57] 21.9% apply-match [35] 22.7% for-loop [28] 55.4% [42] 3726(22.6%) 1436(8.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [49] 45.0% for-loop [57] 19.9% list-cartesian-product [59] 5.4% --------------------------------------------------------------------- apply-match [35] 100.0% [43] 750(4.6%) 174(1.1%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 76.8% --------------------------------------------------------------------- apply-match [35] 100.0% [44] 440(2.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [53] 50.0% substitute-e [51] 50.0% --------------------------------------------------------------------- taylor-alt [36] 100.0% [45] 398(2.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [52] 100.0% --------------------------------------------------------------------- for-loop [40] 47.3% atab-add-altns [39] 52.7% [46] 372(2.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 override-at-pnts [54] 52.7% best-and-tied-at-points [55] 47.3% --------------------------------------------------------------------- debug-print [37] 100.0% [47] 358(2.2%) 358(2.2%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- loop [41] 100.0% [48] 3556(21.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [56] 62.1% loop [58] 31.7% eval-prog [66] 6.2% --------------------------------------------------------------------- match-e [42] 100.0% [49] 2090(12.7%) 1046(6.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [57] 35.2% loop [78] 19.4% list-cartesian-product [59] 4.7% --------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [50] 576(3.5%) 218(1.3%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [61] 62.2% --------------------------------------------------------------------- substitute-e [51] 14.7% for-loop [44] 41.0% apply-match [35] 44.2% [51] 536(3.3%) 158(1.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [63] 41.0% constant? [64] 29.5% substitute-e [51] 14.7% --------------------------------------------------------------------- for-loop [45] 25.0% location-do [52] 75.0% [52] 398(2.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [52] 75.0% approximate9 [6] 25.0% --------------------------------------------------------------------- loop [78] 50.0% for-loop [44] 50.0% [53] 220(1.3%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [78] 50.0% set [62] 50.0% --------------------------------------------------------------------- atab-add-altn [46] 100.0% [54] 196(1.2%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [60] 100.0% --------------------------------------------------------------------- atab-add-altn [46] 100.0% [55] 176(1.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [60] 100.0% --------------------------------------------------------------------- loop [48] 41.7% loop [41] 58.3% [56] 5306(32.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [65] 56.2% loop [78] 43.8% --------------------------------------------------------------------- for-loop [49] 49.7% match-e [42] 50.3% [57] 2072(12.6%) 438(2.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [42] 78.9% --------------------------------------------------------------------- loop [48] 100.0% [58] 1126(6.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [65] 100.0% --------------------------------------------------------------------- list-cartesian-product [59] 24.8% for-loop [49] 24.8% match-e [42] 50.5% [59] 400(2.4%) 198(1.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [69] 50.5% list-cartesian-product [59] 24.8% --------------------------------------------------------------------- best-and-tied-at-points [55] 47.3% override-at-pnts [54] 52.7% [60] 372(2.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [70] 52.7% eval-prog [66] 47.3% --------------------------------------------------------------------- update-leader! [50] 100.0% [61] 358(2.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [67] 100.0% --------------------------------------------------------------------- loop! [53] 100.0% [62] 220(1.3%) 220(1.3%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- substitute-e [51] 100.0% [63] 220(1.3%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [68] 100.0% --------------------------------------------------------------------- substitute-e [51] 100.0% [64] 158(1.0%) 158(1.0%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 --------------------------------------------------------------------- parse-loop12 [73] 2.2% f16 [13] 6.6% loop [58] 25.0% make-exacts* [56] 66.2% [65] 4504(27.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [78] 93.4% parse-loop12 [73] 6.6% --------------------------------------------------------------------- errors [60] 44.4% loop [48] 55.6% [66] 396(2.4%) 176(1.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [71] 55.6% --------------------------------------------------------------------- for-loop [61] 100.0% [67] 358(2.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [72] 100.0% --------------------------------------------------------------------- mk-enode! [63] 100.0% [68] 220(1.3%) 220(1.3%) hash-has-key? ...et/private/more-scheme.rkt:368:13 --------------------------------------------------------------------- list-cartesian-product [59] 100.0% [69] 202(1.2%) 202(1.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 --------------------------------------------------------------------- errors [60] 100.0% [70] 196(1.2%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [81] 100.0% --------------------------------------------------------------------- localize-error [26] 4.8% eval-prog [66] 5.4% for-loop [12] 16.3% ??? [74] 16.3% loop [14] 16.3% ??? [7] 19.3% loop [78] 21.6% [71] 814(4.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [73] 24.1% ??? [77] 21.6% ??? [74] 16.3% ??? [5] 16.3% simplify [4] 16.3% bigfloat-hash [76] 5.4% --------------------------------------------------------------------- for-loop [67] 100.0% [72] 358(2.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [75] 100.0% --------------------------------------------------------------------- loop [78] 19.6% map [65] 19.6% parse-loop12 [73] 27.9% hash-ref! [71] 33.0% [73] 594(3.6%) 398(2.4%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [78] 41.3% parse-loop12 [73] 27.9% map [65] 11.2% --------------------------------------------------------------------- hash-ref! [71] 100.0% [74] 398(2.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [71] 100.0% --------------------------------------------------------------------- hash-update! [72] 100.0% [75] 358(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [79] 100.0% --------------------------------------------------------------------- hash-ref! [71] 100.0% [76] 220(1.3%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [80] 100.0% --------------------------------------------------------------------- hash-ref! [71] 100.0% [77] 220(1.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [78] 100.0% --------------------------------------------------------------------- loop! [53] 0.3% map-enodes [22] 0.7% make-exacts* [56] 0.8% extract-alt [18] 2.3% ??? [77] 2.4% parse-loop12 [73] 2.4% map [65] 2.8% for-loop [49] 4.5% loop [78] 83.6% [78] 9016(54.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [78] 83.6% parse-loop12 [73] 4.4% hash-ref! [71] 2.4% foldl [83] 2.4% simplify [3] 2.3% curried [84] 2.1% ??? [81] 1.4% for-loop [82] 0.7% loop! [53] 0.3% ??? [7] 0.2% ??? [91] 0.0% --------------------------------------------------------------------- ??? [75] 100.0% [79] 358(2.2%) 358(2.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- bigfloat-hash [76] 100.0% [80] 220(1.3%) 220(1.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------- for-loop [70] 2.9% loop [78] 97.1% [81] 6822(41.4%) 408(2.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 77.8% real->bigfloat [86] 16.2% --------------------------------------------------------------------- loop [78] 100.0% [82] 634(3.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [87] 100.0% --------------------------------------------------------------------- loop [78] 100.0% [83] 220(1.3%) 220(1.3%) foldl ...et/collects/racket/private/list.rkt:229:4 --------------------------------------------------------------------- loop [78] 100.0% [84] 186(1.1%) 186(1.1%) curried ...cket/collects/racket/function.rkt:71:18 --------------------------------------------------------------------- ??? [81] 100.0% [85] 5310(32.2%) 196(1.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 64.6% ...higher-order.rkt:373:33 [88] 21.5% bf* [89] 10.3% --------------------------------------------------------------------- ??? [81] 100.0% [86] 1104(6.7%) 1104(6.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 --------------------------------------------------------------------- for-loop [82] 100.0% [87] 634(3.8%) 412(2.5%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [90] 35.0% --------------------------------------------------------------------- ??? [85] 100.0% [88] 1140(6.9%) 574(3.5%) ...higher-order.rkt:373:33 (unknown source) ??? [92] 49.6% --------------------------------------------------------------------- ??? [85] 100.0% [89] 546(3.3%) 172(1.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 68.5% --------------------------------------------------------------------- setfindf [87] 100.0% [90] 222(1.3%) 222(1.3%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 --------------------------------------------------------------------- loop [78] 4.9% bf* [89] 9.4% ??? [85] 85.7% [91] 3998(24.3%) 1058(6.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqr [93] 32.2% bfexpt [94] 27.8% ??? [96] 13.6% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [88]100.0% [92] 566(3.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [95] 100.0% --------------------------------------------------------------------- ??? [91] 100.0% [93] 1286(7.8%) 760(4.6%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 40.9% --------------------------------------------------------------------- ??? [91] 100.0% [94] 1112(6.8%) 548(3.3%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 50.7% --------------------------------------------------------------------- ??? [92] 100.0% [95] 566(3.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% --------------------------------------------------------------------- ??? [91] 48.9% ??? [95] 51.1% [96] 1108(6.7%) 354(2.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 52.5% ??? [99] 15.5% --------------------------------------------------------------------- bfsqr [93] 48.3% bfexpt [94] 51.7% [97] 1090(6.6%) 1090(6.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [96] 100.0% [98] 582(3.5%) 172(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 70.4% --------------------------------------------------------------------- ??? [96] 100.0% [99] 172(1.0%) 172(1.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 --------------------------------------------------------------------- ??? [98] 100.0% [100] 410(2.5%) 410(2.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------