Profiling results ----------------- Total cpu time observed: 23570ms (out of 24132ms) Number of samples taken: 101 (once every 233ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 102 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [37] 100.0% [1] 23174(98.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% ---------------------------------------------------------------------- ??? [37] 100.0% [2] 11768(49.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 96.6% get-final-combination [18] 1.7% loop [43] 1.7% ---------------------------------------------------------------------- loop [83] 2.5% ??? [37] 97.5% [3] 7964(33.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 51.1% for-loop [13] 30.8% iterate-egraph!5 [21] 18.1% ---------------------------------------------------------------------- hash-ref! [69] 100.0% [4] 2210(9.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ---------------------------------------------------------------------- hash-ref! [69] 100.0% [5] 2210(9.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [22] 91.0% hash-ref! [69] 9.0% ---------------------------------------------------------------------- hash-ref! [69] 100.0% [6] 2010(8.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [15] 100.0% ---------------------------------------------------------------------- hash-ref! [69] 100.0% [7] 2008(8.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [16] 100.0% ---------------------------------------------------------------------- hash-ref! [69] 100.0% [8] 1406(6.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [17] 100.0% ---------------------------------------------------------------------- hash-ref! [69] 100.0% [9] 200(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [19] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [10] 23174(98.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [37] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 11368(48.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [12] 4068(17.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [21] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [13] 2456(10.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [21] 91.9% loop [24] 8.1% ---------------------------------------------------------------------- ??? [4] 100.0% [14] 2210(9.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [69] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [15] 2010(8.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [69] 90.0% simplify [71] 10.0% ---------------------------------------------------------------------- ??? [7] 100.0% [16] 2008(8.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [69] 71.7% ??? [22] 28.3% ---------------------------------------------------------------------- ??? [8] 100.0% [17] 1406(6.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [23] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 200(0.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [25] 100.0% ---------------------------------------------------------------------- ??? [9] 100.0% [19] 200(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [69] 100.0% ---------------------------------------------------------------------- for-loop [11] 100.0% [20] 11368(48.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [26] 68.3% gen-series! [28] 24.6% finalize-iter! [29] 7.1% ---------------------------------------------------------------------- simplify [3] 18.5% for-loop [13] 29.1% simplify-expr [12] 52.4% [21] 7764(32.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [27] 100.0% ---------------------------------------------------------------------- for-loop [16] 33.3% ??? [5] 66.7% [22] 2010(8.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [69] 100.0% ---------------------------------------------------------------------- for-loop [17] 100.0% [23] 1406(6.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [69] 100.0% ---------------------------------------------------------------------- for-loop [13] 100.0% [24] 200(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [30] 100.0% ---------------------------------------------------------------------- get-final-combination [18] 100.0% [25] 200(0.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [83] 100.0% ---------------------------------------------------------------------- run-iter! [20] 100.0% [26] 7764(32.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [31] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [21] 100.0% [27] 7764(32.9%) 1040(4.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [32] 65.5% loop [34] 18.5% apply-match [40] 2.6% ---------------------------------------------------------------------- run-iter! [20] 100.0% [28] 2800(11.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [33] 100.0% ---------------------------------------------------------------------- run-iter! [20] 100.0% [29] 804(3.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [35] 100.0% ---------------------------------------------------------------------- loop [24] 100.0% [30] 200(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [36] 100.0% ---------------------------------------------------------------------- simplify! [26] 100.0% [31] 7764(32.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [37] 100.0% ---------------------------------------------------------------------- for-loop [32] 50.0% one-iter [27] 50.0% [32] 5086(21.6%) 1004(4.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 50.0% match-e [38] 40.1% ---------------------------------------------------------------------- gen-series! [28] 100.0% [33] 2800(11.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [39] 100.0% ---------------------------------------------------------------------- one-iter [27] 100.0% [34] 1438(6.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [40] 100.0% ---------------------------------------------------------------------- finalize-iter! [29] 100.0% [35] 804(3.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [41] 100.0% ---------------------------------------------------------------------- pass [30] 100.0% [36] 200(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [42] 100.0% ---------------------------------------------------------------------- for-loop [31] 11.1% run [10] 43.8% [37] 23570(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.8% loop [43] 25.0% run-improve58 [2] 20.0% simplify [3] 11.1% ---------------------------------------------------------------------- for-loop [51] 19.4% for-loop [32] 80.6% [38] 4082(17.3%) 2640(11.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [45] 41.7% ---------------------------------------------------------------------- for-loop [33] 100.0% [39] 2800(11.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [44] 100.0% ---------------------------------------------------------------------- one-iter [27] 12.2% loop [34] 87.8% [40] 1638(6.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [46] 63.5% substitute-e [54] 12.2% for-loop [48] 12.2% update-leader! [52] 12.1% ---------------------------------------------------------------------- ??? [35] 100.0% [41] 804(3.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [47] 100.0% ---------------------------------------------------------------------- for-loop [36] 100.0% [42] 200(0.8%) 200(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- run-improve58 [2] 1.7% ??? [37] 98.3% [43] 12002(50.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [49] 42.8% make-exacts* [57] 41.0% loop [58] 16.2% ---------------------------------------------------------------------- taylor-alt [39] 100.0% [44] 2800(11.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [50] 100.0% ---------------------------------------------------------------------- match-e [38] 100.0% [45] 2044(8.7%) 1222(5.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [51] 55.4% ---------------------------------------------------------------------- apply-match [40] 100.0% [46] 1040(4.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [52] 80.8% for-loop [56] 19.2% ---------------------------------------------------------------------- for-loop [41] 100.0% [47] 804(3.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 override-at-pnts [53] 50.2% best-and-tied-at-points [55] 49.8% ---------------------------------------------------------------------- apply-match [40] 100.0% [48] 200(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 substitute-e [54] 100.0% ---------------------------------------------------------------------- loop [43] 100.0% [49] 5136(21.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [57] 51.7% loop [58] 48.3% ---------------------------------------------------------------------- location-do [50] 33.1% for-loop [44] 66.9% [50] 2800(11.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [59] 66.9% location-do [50] 33.1% ---------------------------------------------------------------------- for-loop [45] 100.0% [51] 1444(6.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 100.0% ---------------------------------------------------------------------- apply-match [40] 19.1% merge-egraph-nodes! [46] 80.9% [52] 1038(4.4%) 202(0.9%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [61] 59.3% make-sequence [62] 21.2% ---------------------------------------------------------------------- atab-add-altn [47] 100.0% [53] 404(1.7%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [60] 100.0% ---------------------------------------------------------------------- for-loop [48] 16.7% substitute-e [54] 33.3% apply-match [40] 50.0% [54] 400(1.7%) 400(1.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [54] 33.3% ---------------------------------------------------------------------- atab-add-altn [47] 100.0% [55] 400(1.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [60] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [46] 100.0% [56] 200(0.8%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 update-en-expr [63] 100.0% ---------------------------------------------------------------------- loop [49] 35.1% loop [43] 64.9% [57] 7570(32.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [83] 60.1% map [78] 39.9% ---------------------------------------------------------------------- loop [43] 44.0% loop [49] 56.0% [58] 4432(18.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [78] 100.0% ---------------------------------------------------------------------- location-do [50] 100.0% [59] 2800(11.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [64] 85.9% taylor-sqrt [68] 7.1% f94 [74] 6.9% ---------------------------------------------------------------------- best-and-tied-at-points [55] 49.8% override-at-pnts [53] 50.2% [60] 804(3.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [66] 74.9% eval-prog [67] 25.1% ---------------------------------------------------------------------- update-leader! [52] 100.0% [61] 616(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [65] 100.0% ---------------------------------------------------------------------- update-leader! [52] 100.0% [62] 220(0.9%) 220(0.9%) make-sequence ...ects/racket/private/for.rkt:508:2 ---------------------------------------------------------------------- for-loop [56] 100.0% [63] 200(0.8%) 200(0.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- approximate9 [59] 100.0% [64] 2406(10.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [69] 100.0% ---------------------------------------------------------------------- for-loop [61] 100.0% [65] 616(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [70] 100.0% ---------------------------------------------------------------------- errors [60] 100.0% [66] 602(2.6%) 602(2.6%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ---------------------------------------------------------------------- errors [60] 100.0% [67] 202(0.9%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [69] 100.0% ---------------------------------------------------------------------- approximate9 [59] 100.0% [68] 200(0.8%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [71] 100.0% ---------------------------------------------------------------------- for-loop [19] 0.9% ??? [5] 0.9% for-loop [23] 5.3% ??? [72] 5.4% eval-prog [67] 7.7% for-loop [15] 8.2% for-loop [16] 12.8% ??? [22] 16.4% loop [64] 18.1% for-loop [14] 23.5% [69] 2608(11.1%) 202(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 23.5% ??? [7] 19.5% simplify [71] 17.2% ??? [5] 10.6% ??? [6] 9.0% ??? [72] 5.4% ??? [8] 5.3% ??? [9] 0.9% ---------------------------------------------------------------------- for-loop [65] 100.0% [70] 616(2.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [73] 100.0% ---------------------------------------------------------------------- taylor-invert [80] 6.9% taylor-sqrt [68] 7.1% for-loop [15] 7.1% hash-ref! [69] 78.8% [71] 2800(11.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [74] 50.3% parse-loop50 [81] 35.6% debug7 [76] 7.1% debug-print [77] 7.0% ---------------------------------------------------------------------- hash-ref! [69] 100.0% [72] 806(3.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [69] 100.0% ---------------------------------------------------------------------- hash-update! [70] 100.0% [73] 616(2.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [75] 100.0% ---------------------------------------------------------------------- parse-loop50 [81] 1.8% loop [83] 4.2% f94 [74] 6.1% approximate9 [59] 6.1% append-map [79] 7.2% map [78] 14.9% simplify [71] 58.0% [74] 1602(6.8%) 400(1.7%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [78] 62.8% append-map [79] 9.0% f94 [74] 6.1% taylor-invert [80] 6.1% ---------------------------------------------------------------------- ??? [73] 100.0% [75] 616(2.6%) 616(2.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- simplify [71] 100.0% [76] 200(0.8%) 200(0.8%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ---------------------------------------------------------------------- simplify [71] 100.0% [77] 196(0.8%) 196(0.8%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- parse-loop50 [81] 3.4% f94 [74] 12.5% make-exacts* [57] 34.1% loop [58] 50.0% [78] 8858(37.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [83] 81.8% parse-loop50 [81] 11.0% f94 [74] 4.9% ??? [86] 2.3% ---------------------------------------------------------------------- f94 [74] 100.0% [79] 202(0.9%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 f94 [74] 80.0% free-variables [82] 20.0% ---------------------------------------------------------------------- f94 [74] 100.0% [80] 194(0.8%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [71] 100.0% ---------------------------------------------------------------------- loop [83] 6.2% simplify [71] 21.5% parse-loop50 [81] 26.8% map [78] 45.5% [81] 2002(8.5%) 1398(5.9%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [81] 26.8% f94 [74] 10.0% loop [83] 9.6% map [78] 5.4% parse-app [84] 3.4% simplify* [85] 3.4% ---------------------------------------------------------------------- append-map [79] 100.0% [82] 202(0.9%) 202(0.9%) free-variables ...ock/herbie/src/programs.rkt:89:0 ---------------------------------------------------------------------- make-exacts* [57] 0.3% extract-alt [25] 0.5% map [78] 1.0% parse-loop50 [81] 2.4% loop [83] 95.7% [83] 12404(52.6%) 246(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [83] 95.7% parse-loop50 [81] 1.6% ??? [86] 1.2% f94 [74] 0.8% simplify [3] 0.5% ---------------------------------------------------------------------- parse-loop50 [81] 100.0% [84] 202(0.9%) 202(0.9%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- parse-loop50 [81] 100.0% [85] 202(0.9%) 202(0.9%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 ---------------------------------------------------------------------- map [78] 1.7% loop [83] 98.3% [86] 11756(49.9%) 696(3.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [87] 60.5% real->bigfloat [88] 29.3% ??? [94] 4.3% ---------------------------------------------------------------------- ??? [86] 100.0% [87] 7110(30.2%) 244(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 72.1% ...higher-order.rkt:373:33 [89] 14.7% bf* [90] 9.8% ---------------------------------------------------------------------- ??? [86] 100.0% [88] 3448(14.6%) 1952(8.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [96] 43.4% ---------------------------------------------------------------------- ??? [87] 100.0% [89] 1044(4.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 77.0% ??? [92] 23.0% ---------------------------------------------------------------------- ??? [87] 100.0% [90] 696(3.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% ---------------------------------------------------------------------- bf* [90] 12.0% ??? [87] 88.0% [91] 5822(24.7%) 1422(6.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [93] 45.9% ??? [97] 16.4% bfsqrt [95] 13.3% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [89]100.0% [92] 240(1.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ---------------------------------------------------------------------- ??? [91] 100.0% [93] 2670(11.3%) 1338(5.7%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 49.9% ---------------------------------------------------------------------- ??? [92] 15.5% ??? [86] 32.5% ...higher-order.rkt:373:33 [89] 52.0% [94] 1546(6.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% ---------------------------------------------------------------------- ??? [91] 100.0% [95] 774(3.3%) 494(2.1%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 36.2% ---------------------------------------------------------------------- bfsqrt [95] 9.0% bfmul [93] 42.9% real->bigfloat [88] 48.1% [96] 3108(13.2%) 3108(13.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [91] 38.2% ??? [94] 61.8% [97] 2502(10.6%) 998(4.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 60.1% ---------------------------------------------------------------------- ??? [97] 100.0% [98] 1504(6.4%) 528(2.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 64.9% ---------------------------------------------------------------------- ??? [98] 100.0% [99] 976(4.1%) 976(4.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------