Profiling results ----------------- Total cpu time observed: 20914ms (out of 21324ms) Number of samples taken: 88 (once every 238ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [32] 100.0% [1] 19798(94.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [2] 10722(51.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 86.4% loop [38] 9.3% get-final-combination [11] 4.3% ----------------------------------------------------------------------- loop [72] 3.0% ??? [32] 97.0% [3] 8058(38.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [14] 48.0% simplify-expr [9] 38.4% for-loop [10] 11.2% loop [12] 2.5% ----------------------------------------------------------------------- hash-ref! [77] 100.0% [4] 1262(6.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [72] 100.0% ----------------------------------------------------------------------- f6 [65] 100.0% [5] 200(1.0%) 0(0.0%) taylor-exp ...ock/herbie/src/core/taylor.rkt:386:0 simplify [56] 100.0% ----------------------------------------------------------------------- loop [72] 100.0% [6] 198(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [77] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 97.8% [7] 20250(96.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 9260(44.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [9] 3094(14.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [10] 900(4.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 462(2.2%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [12] 200(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [16] 100.0% ----------------------------------------------------------------------- for-loop [8] 100.0% [13] 9260(44.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 84.4% gen-series! [19] 6.5% finalize-iter! [20] 4.8% localize-error [21] 4.3% ----------------------------------------------------------------------- for-loop [10] 11.5% simplify-expr [9] 39.4% simplify [3] 49.2% [14] 7858(37.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 94.9% map-enodes [23] 2.6% debug7 [24] 2.5% ----------------------------------------------------------------------- get-final-combination [11] 100.0% [15] 462(2.2%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [72] 51.9% loop [22] 48.1% ----------------------------------------------------------------------- loop [12] 100.0% [16] 200(1.0%) 200(1.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 ----------------------------------------------------------------------- run-iter! [13] 100.0% [17] 7818(37.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 7456(35.7%) 460(2.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 54.2% loop [27] 39.7% ----------------------------------------------------------------------- run-iter! [13] 100.0% [19] 598(2.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [20] 444(2.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [21] 400(1.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [77] 100.0% ----------------------------------------------------------------------- extract-alt [15] 100.0% [22] 222(1.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [30] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [23] 202(1.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [31] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [24] 200(1.0%) 200(1.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ----------------------------------------------------------------------- simplify! [17] 100.0% [25] 7818(37.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ----------------------------------------------------------------------- for-loop [26] 50.0% one-iter [18] 50.0% [26] 4038(19.3%) 786(3.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [39] 40.3% ----------------------------------------------------------------------- one-iter [18] 100.0% [27] 2958(14.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ----------------------------------------------------------------------- gen-series! [19] 100.0% [28] 598(2.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [34] 100.0% ----------------------------------------------------------------------- finalize-iter! [20] 100.0% [29] 444(2.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 atab-add-altns [35] 50.0% for-loop [36] 50.0% ----------------------------------------------------------------------- loop [22] 100.0% [30] 222(1.1%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [57] 100.0% ----------------------------------------------------------------------- map-enodes [23] 100.0% [31] 202(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [37] 100.0% ----------------------------------------------------------------------- for-loop [25] 13.0% run [7] 43.8% [32] 20914(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.6% loop [38] 25.4% run-improve58 [2] 19.9% simplify [3] 13.0% ----------------------------------------------------------------------- loop [27] 100.0% [33] 2958(14.1%) 662(3.2%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [46] 22.4% substitute-e [47] 19.8% match-e [39] 14.3% for-loop [42] 14.3% update-leader! [55] 6.8% ----------------------------------------------------------------------- for-loop [28] 100.0% [34] 598(2.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [40] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [35] 222(1.1%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [41] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [36] 222(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [41] 100.0% ----------------------------------------------------------------------- for-loop [31] 100.0% [37] 202(1.0%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [43] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 8.9% ??? [32] 91.1% [38] 11192(53.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [44] 42.8% make-exacts* [52] 41.7% loop [53] 13.5% filter-points [49] 2.1% ----------------------------------------------------------------------- apply-match [33] 5.7% for-loop [54] 20.4% for-loop [26] 73.8% [39] 3674(17.6%) 1106(5.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [45] 61.5% for-loop [54] 9.0% loop [72] 5.4% ----------------------------------------------------------------------- taylor-alt [34] 100.0% [40] 598(2.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [48] 100.0% ----------------------------------------------------------------------- for-loop [36] 50.0% atab-add-altns [35] 50.0% [41] 444(2.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 loop [50] 50.0% best-and-tied-at-points [51] 50.0% ----------------------------------------------------------------------- apply-match [33] 100.0% [42] 422(2.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [46] 52.1% substitute-e [47] 47.9% ----------------------------------------------------------------------- setfindf [37] 100.0% [43] 202(1.0%) 202(1.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ----------------------------------------------------------------------- loop [38] 100.0% [44] 4786(22.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [52] 46.4% loop [53] 35.8% eval-prog [63] 17.8% ----------------------------------------------------------------------- match-e [39] 100.0% [45] 2368(11.3%) 1724(8.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [54] 31.3% curry* [61] 9.4% ----------------------------------------------------------------------- for-loop [42] 24.9% apply-match [33] 75.1% [46] 884(4.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [55] 75.1% for-loop [62] 24.9% ----------------------------------------------------------------------- for-loop [42] 25.6% apply-match [33] 74.4% [47] 788(3.8%) 788(3.8%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 ----------------------------------------------------------------------- for-loop [40] 36.1% location-do [48] 63.9% [48] 598(2.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [48] 63.9% approximate9 [58] 27.7% simplify [56] 8.4% ----------------------------------------------------------------------- loop [38] 100.0% [49] 230(1.1%) 0(0.0%) filter-points ...tlock/herbie/src/points.rkt:101:0 for-loop [59] 100.0% ----------------------------------------------------------------------- atab-add-altn [41] 100.0% [50] 222(1.1%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [60] 100.0% ----------------------------------------------------------------------- atab-add-altn [41] 100.0% [51] 222(1.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [57] 100.0% ----------------------------------------------------------------------- loop [44] 32.3% loop [38] 67.7% [52] 6886(32.9%) 222(1.1%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [72] 48.5% map [69] 39.0% eval-prog [63] 9.2% ----------------------------------------------------------------------- loop [38] 46.9% loop [44] 53.1% [53] 3226(15.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [69] 100.0% ----------------------------------------------------------------------- match-e [39] 36.6% for-loop [45] 63.4% [54] 1502(7.2%) 422(2.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [39] 86.0% ----------------------------------------------------------------------- apply-match [33] 23.3% merge-egraph-nodes! [46] 76.7% [55] 866(4.1%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [64] 100.0% ----------------------------------------------------------------------- hash-ref! [77] 33.1% taylor-exp [5] 33.4% location-do [48] 33.4% [56] 598(2.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [65] 66.9% parse-loop12 [84] 33.1% ----------------------------------------------------------------------- best-and-tied-at-points [51] 50.0% composed [30] 50.0% [57] 444(2.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [66] 100.0% ----------------------------------------------------------------------- location-do [48] 100.0% [58] 398(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [65] 50.3% loop [68] 49.7% ----------------------------------------------------------------------- filter-points [49] 100.0% [59] 230(1.1%) 230(1.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:104:4 ----------------------------------------------------------------------- loop [50] 3.2% loop [60] 96.8% [60] 222(1.1%) 222(1.1%) loop ...are/racket/collects/racket/list.rkt:431:28 loop [60] 96.8% ----------------------------------------------------------------------- for-loop [45] 100.0% [61] 222(1.1%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [67] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [46] 100.0% [62] 220(1.1%) 220(1.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ----------------------------------------------------------------------- make-exacts* [52] 42.7% loop [44] 57.3% [63] 1484(7.1%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [77] 85.0% inductor [71] 15.0% ----------------------------------------------------------------------- update-leader! [55] 100.0% [64] 866(4.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [70] 100.0% ----------------------------------------------------------------------- approximate9 [58] 12.5% simplify [56] 37.5% hash-ref! [77] 50.0% [65] 800(3.8%) 200(1.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [69] 75.0% taylor-exp [5] 12.5% ----------------------------------------------------------------------- errors [57] 100.0% [66] 444(2.1%) 444(2.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ----------------------------------------------------------------------- curry* [61] 100.0% [67] 222(1.1%) 222(1.1%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------- approximate9 [58] 100.0% [68] 198(0.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [77] 100.0% ----------------------------------------------------------------------- f6 [65] 9.2% make-exacts* [52] 41.3% loop [53] 49.5% [69] 6514(31.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [72] 96.9% make-multiplication-node [75] 3.1% ----------------------------------------------------------------------- for-loop [64] 100.0% [70] 866(4.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [73] 100.0% ----------------------------------------------------------------------- eval-prog [63] 25.0% inductor [71] 75.0% [71] 222(1.1%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [71] 75.0% loop [74] 25.0% ----------------------------------------------------------------------- make-exacts* [52] 0.3% match-e [39] 0.9% parse-loop12 [84] 1.8% extract-alt [15] 2.1% map [69] 2.4% ??? [4] 10.9% loop [72] 81.7% [72] 11556(55.3%) 200(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [72] 81.7% hash-ref! [77] 10.9% ??? [76] 2.5% simplify [3] 2.1% parse-loop12 [84] 1.7% ??? [93] 0.1% ??? [6] 0.1% ----------------------------------------------------------------------- for-loop [70] 100.0% [73] 866(4.1%) 202(1.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [78] 76.7% ----------------------------------------------------------------------- inductor [71] 100.0% [74] 222(1.1%) 222(1.1%) loop ...h-lib/math/private/bigfloat/mpfr.rkt:435:9 ----------------------------------------------------------------------- map [69] 100.0% [75] 200(1.0%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [79]100.0% ----------------------------------------------------------------------- loop [72] 100.0% [76] 9256(44.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [80] 79.3% real->bigfloat [81] 16.1% ??? [95] 4.6% ----------------------------------------------------------------------- ??? [6] 5.3% ??? [86] 5.3% loop [68] 5.3% localize-error [21] 16.2% eval-prog [63] 20.6% loop [72] 47.2% [77] 1860(8.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 47.2% bigfloat-hash [82] 20.6% f6 [65] 16.2% ??? [86] 5.3% simplify [56] 5.3% parse-loop12 [84] 5.3% ----------------------------------------------------------------------- hash-update! [73] 100.0% [78] 664(3.2%) 224(1.1%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [83] 66.3% ----------------------------------------------------------------------- make-multiplication-node [75] 100.0% [79] 200(1.0%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [85] 100.0% ----------------------------------------------------------------------- ??? [76] 100.0% [80] 7344(35.1%) 222(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 47.5% ...higher-order.rkt:369:33 [87] 21.9% bf* [89] 12.7% ...higher-order.rkt:373:33 [90] 11.7% bf< [91] 3.2% ----------------------------------------------------------------------- ??? [76] 100.0% [81] 1488(7.1%) 1272(6.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [99] 14.5% ----------------------------------------------------------------------- hash-ref! [77] 100.0% [82] 1262(6.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [88] 84.2% sig+exp->bigfloat [92] 15.8% ----------------------------------------------------------------------- ??? [78] 100.0% [83] 440(2.1%) 440(2.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- loop [72] 12.5% simplify [56] 12.5% parse-loop12 [84] 25.0% hash-ref! [77] 50.0% [84] 396(1.9%) 198(0.9%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [72] 62.5% parse-loop12 [84] 25.0% ----------------------------------------------------------------------- make-multiplication-subnode [79]100.0% [85] 200(1.0%) 200(1.0%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------- hash-ref! [77] 100.0% [86] 198(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [77] 100.0% ----------------------------------------------------------------------- ??? [80] 100.0% [87] 1610(7.7%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [95] 53.3% ??? [94] 46.7% ----------------------------------------------------------------------- bigfloat-hash [82] 100.0% [88] 1062(5.1%) 1062(5.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- ??? [80] 100.0% [89] 930(4.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [93] 100.0% ----------------------------------------------------------------------- ??? [80] 100.0% [90] 860(4.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [95] 53.7% ??? [94] 46.3% ----------------------------------------------------------------------- ??? [80] 100.0% [91] 232(1.1%) 0(0.0%) bf< ...th/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [98] 100.0% ----------------------------------------------------------------------- bigfloat-hash [82] 100.0% [92] 200(1.0%) 0(0.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [99] 100.0% ----------------------------------------------------------------------- loop [72] 8.3% bf* [89] 19.3% ??? [80] 72.4% [93] 4820(23.0%) 1668(8.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [96] 38.5% ??? [98] 13.5% bfneg [97] 13.4% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [90] 34.6% ...higher-order.rkt:369:33 [87] 65.4% [94] 1150(5.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [95] 100.0% ----------------------------------------------------------------------- ??? [76] 14.7% ...higher-order.rkt:373:33 [90] 16.0% ...higher-order.rkt:369:33 [87] 29.6% ??? [94] 39.7% [95] 2894(13.8%) 432(2.1%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 85.1% ----------------------------------------------------------------------- ??? [93] 100.0% [96] 1856(8.9%) 1618(7.7%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 12.8% ----------------------------------------------------------------------- ??? [93] 100.0% [97] 644(3.1%) 644(3.1%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ----------------------------------------------------------------------- bf< [91] 6.9% ??? [93] 19.5% ??? [95] 73.6% [98] 3346(16.0%) 1514(7.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [100] 47.9% ??? [101] 6.8% ----------------------------------------------------------------------- sig+exp->bigfloat [92] 30.6% real->bigfloat [81] 33.0% bfmul [96] 36.4% [99] 654(3.1%) 654(3.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [98] 100.0% [100] 1604(7.7%) 1604(7.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 ----------------------------------------------------------------------- ??? [98] 100.0% [101] 228(1.1%) 228(1.1%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -----------------------------------------------------------------------