Profiling results ----------------- Total cpu time observed: 21070ms (out of 21304ms) Number of samples taken: 92 (once every 229ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [24] 100.0% [1] 20248(96.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ----------------------------------------------------------------------- ??? [24] 100.0% [2] 14398(68.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 94.4% get-final-combination [8] 4.2% setup-prog [11] 1.4% ----------------------------------------------------------------------- hash-ref! [65] 100.0% [3] 210(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [62] 100.0% ----------------------------------------------------------------------- hash-ref! [65] 100.0% [4] 210(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [10] 100.0% ----------------------------------------------------------------------- hash-ref! [65] 100.0% [5] 210(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [9] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 98.9% [6] 20470(97.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [24] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 13592(64.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [12] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 610(2.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [13] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [9] 210(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [65] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [10] 210(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [65] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 196(0.9%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [14] 100.0% ----------------------------------------------------------------------- for-loop [7] 100.0% [12] 13592(64.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 92.5% finalize-iter! [17] 4.4% gen-series! [18] 3.0% ----------------------------------------------------------------------- get-final-combination [8] 100.0% [13] 610(2.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [71] 100.0% ----------------------------------------------------------------------- setup-prog [11] 100.0% [14] 196(0.9%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [15] 100.0% ----------------------------------------------------------------------- simplify-alt [14] 1.5% loop [71] 4.6% ??? [24] 94.0% [15] 13384(63.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [20] 71.1% for-loop [21] 21.2% iterate-egraph!5 [25] 7.7% ----------------------------------------------------------------------- run-iter! [12] 100.0% [16] 12578(59.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [19] 100.0% ----------------------------------------------------------------------- run-iter! [12] 100.0% [17] 604(2.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [22] 100.0% ----------------------------------------------------------------------- run-iter! [12] 100.0% [18] 410(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [23] 100.0% ----------------------------------------------------------------------- simplify! [16] 100.0% [19] 12578(59.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [24] 100.0% ----------------------------------------------------------------------- simplify [15] 100.0% [20] 9518(45.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [25] 89.6% loop [26] 10.4% ----------------------------------------------------------------------- simplify [15] 100.0% [21] 2834(13.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [25] 85.8% loop [26] 14.2% ----------------------------------------------------------------------- finalize-iter! [17] 100.0% [22] 604(2.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [27] 100.0% ----------------------------------------------------------------------- gen-series! [18] 100.0% [23] 410(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [28] 100.0% ----------------------------------------------------------------------- for-loop [19] 20.4% run [6] 39.6% [24] 21070(100.0%) 232(1.1%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 38.6% run-improve58 [2] 24.7% simplify [15] 20.4% loop [30] 15.8% ----------------------------------------------------------------------- simplify [15] 8.6% for-loop [21] 20.3% simplify-expr [20] 71.1% [25] 11994(56.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [29] 96.5% map-enodes [33] 3.5% ----------------------------------------------------------------------- for-loop [21] 28.9% simplify-expr [20] 71.1% [26] 1390(6.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [31] 100.0% ----------------------------------------------------------------------- ??? [22] 100.0% [27] 604(2.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [32] 100.0% ----------------------------------------------------------------------- for-loop [23] 100.0% [28] 410(1.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [34] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [25] 100.0% [29] 11580(55.0%) 416(2.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [35] 52.5% loop [36] 40.5% apply-match [43] 3.5% ----------------------------------------------------------------------- ??? [24] 100.0% [30] 6440(30.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [44] 56.8% loop [37] 39.8% for-loop [41] 3.4% ----------------------------------------------------------------------- loop [26] 100.0% [31] 1390(6.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [38] 100.0% ----------------------------------------------------------------------- for-loop [27] 100.0% [32] 604(2.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [40] 66.6% override-at-pnts [42] 33.4% ----------------------------------------------------------------------- iterate-egraph!5 [25] 100.0% [33] 414(2.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [71] 100.0% ----------------------------------------------------------------------- taylor-alt [28] 100.0% [34] 410(1.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [39] 100.0% ----------------------------------------------------------------------- for-loop [35] 46.7% one-iter [29] 53.3% [35] 6076(28.8%) 1408(6.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [35] 46.7% match-e [52] 38.4% ----------------------------------------------------------------------- one-iter [29] 100.0% [36] 4686(22.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [43] 100.0% ----------------------------------------------------------------------- loop [30] 100.0% [37] 2562(12.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [45] 59.3% make-exacts* [44] 40.7% ----------------------------------------------------------------------- pass [31] 100.0% [38] 1390(6.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [46] 71.1% for-loop [49] 28.9% ----------------------------------------------------------------------- location-do [39] 24.4% for-loop [34] 75.6% [39] 410(1.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [47] 75.6% location-do [39] 24.4% ----------------------------------------------------------------------- atab-add-altn [32] 100.0% [40] 402(1.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [48] 50.2% for-loop [51] 49.8% ----------------------------------------------------------------------- loop [30] 100.0% [41] 222(1.1%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [50] 100.0% ----------------------------------------------------------------------- atab-add-altn [32] 100.0% [42] 202(1.0%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [48] 100.0% ----------------------------------------------------------------------- one-iter [29] 7.9% loop [36] 92.1% [43] 5088(24.1%) 408(1.9%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [59] 32.3% for-loop [55] 16.0% match-e [52] 15.7% substitute-e [60] 15.7% mk-enode! [64] 12.2% ----------------------------------------------------------------------- loop [37] 22.2% loop [30] 77.8% [44] 4698(22.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [71] 53.2% map [53] 46.8% ----------------------------------------------------------------------- loop [37] 100.0% [45] 1520(7.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [53] 100.0% ----------------------------------------------------------------------- for-loop [38] 100.0% [46] 988(4.7%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [54] 100.0% ----------------------------------------------------------------------- location-do [39] 100.0% [47] 410(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [57] 51.2% f37 [62] 48.8% ----------------------------------------------------------------------- override-at-pnts [42] 50.0% best-and-tied-at-points [40] 50.0% [48] 404(1.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [56] 100.0% ----------------------------------------------------------------------- for-loop [38] 100.0% [49] 402(1.9%) 402(1.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ----------------------------------------------------------------------- for-loop [41] 100.0% [50] 222(1.1%) 222(1.1%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 ----------------------------------------------------------------------- best-and-tied-at-points [40] 100.0% [51] 200(0.9%) 200(0.9%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- apply-match [43] 6.7% for-loop [63] 19.1% for-loop [35] 74.2% [52] 5468(26.0%) 3212(15.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [58] 36.4% loop [71] 9.8% for-loop [63] 5.1% ----------------------------------------------------------------------- f37 [62] 5.1% loop [45] 38.8% make-exacts* [44] 56.1% [53] 3920(18.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [71] 94.9% f37 [62] 5.1% ----------------------------------------------------------------------- argmin [46] 100.0% [54] 988(4.7%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [61] 100.0% ----------------------------------------------------------------------- apply-match [43] 100.0% [55] 814(3.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [66] 48.4% substitute-e [60] 27.0% merge-egraph-nodes! [59] 24.6% ----------------------------------------------------------------------- errors [48] 100.0% [56] 404(1.9%) 202(1.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [79] 50.0% ----------------------------------------------------------------------- approximate9 [47] 100.0% [57] 210(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [65] 100.0% ----------------------------------------------------------------------- match-e [52] 100.0% [58] 2424(11.5%) 1020(4.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [63] 57.9% list-cartesian-product [69] 12.4% ----------------------------------------------------------------------- for-loop [55] 10.8% merge-egraph-nodes! [59] 11.4% apply-match [43] 77.7% [59] 1844(8.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [67] 44.5% loop! [66] 22.3% for-loop [68] 21.8% merge-egraph-nodes! [59] 11.4% ----------------------------------------------------------------------- substitute-e [60] 19.5% for-loop [55] 21.6% apply-match [43] 58.9% [60] 1020(4.8%) 398(1.9%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [64] 61.0% substitute-e [60] 19.5% ----------------------------------------------------------------------- expression-cost [54] 100.0% [61] 988(4.7%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [65] 100.0% ----------------------------------------------------------------------- approximate9 [47] 16.3% map [53] 32.5% simplify [3] 51.2% [62] 410(1.9%) 210(1.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [53] 32.5% taylor [70] 16.3% ----------------------------------------------------------------------- match-e [52] 23.4% for-loop [58] 76.6% [63] 2224(10.6%) 202(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [52] 90.9% ----------------------------------------------------------------------- substitute-e [60] 50.0% apply-match [43] 50.0% [64] 1244(5.9%) 622(3.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [73] 50.0% ----------------------------------------------------------------------- for-loop [10] 4.4% ??? [9] 4.4% ??? [76] 4.4% loop [57] 4.4% compile [61] 38.4% ??? [72] 44.0% [65] 1198(5.7%) 988(4.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [72] 44.0% ??? [76] 4.4% ??? [5] 4.4% ??? [4] 4.4% simplify [3] 4.4% ----------------------------------------------------------------------- for-loop [55] 19.4% loop [71] 29.2% merge-egraph-nodes! [59] 51.4% [66] 1016(4.8%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [71] 48.9% custom-set-union [75] 21.9% set [81] 19.4% update-en-expr [100] 9.8% ----------------------------------------------------------------------- merge-egraph-nodes! [59] 100.0% [67] 820(3.9%) 202(1.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [74] 75.4% ----------------------------------------------------------------------- merge-egraph-nodes! [59] 100.0% [68] 402(1.9%) 402(1.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ----------------------------------------------------------------------- list-cartesian-product [69] 25.0% for-loop [58] 75.0% [69] 400(1.9%) 200(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [78] 50.0% list-cartesian-product [69] 25.0% ----------------------------------------------------------------------- f37 [62] 100.0% [70] 200(0.9%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [77] 100.0% ----------------------------------------------------------------------- ??? [79] 0.1% make-exacts* [44] 0.1% map [53] 0.2% map-enodes [33] 0.3% loop! [66] 2.0% extract-alt [13] 4.3% match-e [52] 5.7% loop [71] 87.5% [71] 8670(41.1%) 1090(5.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [71] 87.5% simplify [15] 4.3% foldl [83] 2.6% loop! [66] 1.4% for-loop [82] 0.3% ??? [79] 0.2% real->bigfloat [86] 0.1% ----------------------------------------------------------------------- hash-ref! [65] 100.0% [72] 988(4.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [65] 100.0% ----------------------------------------------------------------------- mk-enode! [64] 100.0% [73] 622(3.0%) 198(0.9%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [81] 35.7% mutable-set [85] 32.5% ----------------------------------------------------------------------- update-leader! [67] 100.0% [74] 618(2.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [80] 100.0% ----------------------------------------------------------------------- loop! [66] 100.0% [75] 222(1.1%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [84] 100.0% ----------------------------------------------------------------------- hash-ref! [65] 100.0% [76] 210(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [65] 100.0% ----------------------------------------------------------------------- taylor [70] 100.0% [77] 200(0.9%) 200(0.9%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- list-cartesian-product [69] 100.0% [78] 200(0.9%) 200(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- for-loop [56] 3.3% loop [71] 96.7% [79] 6184(29.3%) 202(1.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [87] 40.9% real->bigfloat [86] 27.6% loop [71] 24.1% ??? [98] 4.1% ----------------------------------------------------------------------- for-loop [74] 100.0% [80] 618(2.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [88] 100.0% ----------------------------------------------------------------------- new-enode [73] 36.0% loop! [66] 64.0% [81] 616(2.9%) 616(2.9%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- loop [71] 100.0% [82] 414(2.0%) 192(0.9%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [90] 53.6% ----------------------------------------------------------------------- loop [71] 100.0% [83] 222(1.1%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [89] 100.0% ----------------------------------------------------------------------- custom-set-union [75] 100.0% [84] 222(1.1%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [91] 100.0% ----------------------------------------------------------------------- new-enode [73] 100.0% [85] 202(1.0%) 202(1.0%) mutable-set ...racket/private/set-types.rkt:1000:0 ----------------------------------------------------------------------- loop [71] 42.3% ??? [79] 57.7% [86] 2954(14.0%) 2470(11.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [99] 16.4% ----------------------------------------------------------------------- ??? [79] 100.0% [87] 2532(12.0%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 79.9% ...higher-order.rkt:373:33 [94] 20.1% ----------------------------------------------------------------------- for-loop [80] 100.0% [88] 618(2.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [93] 100.0% ----------------------------------------------------------------------- foldl [83] 100.0% [89] 222(1.1%) 222(1.1%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------- for-loop [82] 100.0% [90] 222(1.1%) 222(1.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ----------------------------------------------------------------------- for-loop [84] 100.0% [91] 222(1.1%) 222(1.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- ??? [87] 100.0% [92] 2024(9.6%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [95] 100.0% ----------------------------------------------------------------------- hash-update! [88] 100.0% [93] 618(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [96] 100.0% ----------------------------------------------------------------------- ??? [87] 100.0% [94] 508(2.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [97] 100.0% ----------------------------------------------------------------------- ??? [92] 100.0% [95] 2024(9.6%) 1762(8.4%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 12.9% ----------------------------------------------------------------------- ??? [93] 100.0% [96] 618(2.9%) 418(2.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [100] 32.4% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [94]100.0% [97] 508(2.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [98] 100.0% ----------------------------------------------------------------------- ??? [79] 33.3% ??? [97] 66.7% [98] 762(3.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [101] 100.0% ----------------------------------------------------------------------- bfadd [95] 35.1% real->bigfloat [86] 64.9% [99] 746(3.5%) 746(3.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- for-loop [96] 50.0% loop! [66] 50.0% [100] 400(1.9%) 400(1.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- ??? [98] 100.0% [101] 762(3.6%) 502(2.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [102] 34.1% ----------------------------------------------------------------------- ??? [101] 100.0% [102] 260(1.2%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [103] 100.0% ----------------------------------------------------------------------- ??? [102] 100.0% [103] 260(1.2%) 260(1.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------