Profiling results ----------------- Total cpu time observed: 10874ms (out of 11032ms) Number of samples taken: 46 (once every 236ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [37] 100.0% [1] 10472(96.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- ??? [37] 100.0% [2] 6268(57.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 51.2% finalize-table! [11] 42.4% get-final-combination [17] 6.3% ----------------------------------------------------------------------- loop [73] 7.1% ??? [37] 92.9% [3] 2808(25.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 64.2% for-loop [14] 28.7% iterate-egraph!5 [18] 7.1% ----------------------------------------------------------------------- loop [73] 100.0% [4] 842(7.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [12] 100.0% ----------------------------------------------------------------------- hash-ref! [61] 100.0% [5] 810(7.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ----------------------------------------------------------------------- hash-ref! [61] 100.0% [6] 606(5.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [15] 100.0% ----------------------------------------------------------------------- hash-ref! [61] 100.0% [7] 406(3.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [16] 100.0% ----------------------------------------------------------------------- loop [73] 100.0% [8] 202(1.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [61] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 10472(96.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [37] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 3212(29.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 2658(24.4%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [20] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [4] 31.8% simplify [3] 68.2% [12] 2644(24.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [13] 810(7.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [61] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [14] 806(7.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [15] 606(5.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [61] 66.7% ??? [23] 33.3% ----------------------------------------------------------------------- ??? [7] 100.0% [16] 406(3.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [21] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 398(3.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [22] 100.0% ----------------------------------------------------------------------- simplify [3] 5.5% for-loop [14] 22.1% simplify-expr [12] 72.4% [18] 3650(33.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 88.5% map-enodes [27] 11.5% ----------------------------------------------------------------------- for-loop [10] 100.0% [19] 3212(29.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [25] 81.2% finalize-iter! [28] 12.5% gen-series! [29] 6.3% ----------------------------------------------------------------------- finalize-table! [11] 100.0% [20] 2658(24.4%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [26] 53.1% loop [73] 39.3% ??? [75] 7.6% ----------------------------------------------------------------------- for-loop [16] 100.0% [21] 406(3.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [61] 100.0% ----------------------------------------------------------------------- get-final-combination [17] 100.0% [22] 398(3.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [73] 50.3% loop [30] 49.7% ----------------------------------------------------------------------- for-loop [15] 100.0% [23] 202(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [61] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [24] 3230(29.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [31] 81.3% loop [34] 18.7% ----------------------------------------------------------------------- run-iter! [19] 100.0% [25] 2608(24.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [32] 100.0% ----------------------------------------------------------------------- post-process [20] 100.0% [26] 1412(13.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [33] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [27] 420(3.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [35] 51.9% loop [73] 48.1% ----------------------------------------------------------------------- run-iter! [19] 100.0% [28] 402(3.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [75] 100.0% ----------------------------------------------------------------------- run-iter! [19] 100.0% [29] 202(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [36] 100.0% ----------------------------------------------------------------------- extract-alt [22] 100.0% [30] 198(1.8%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [77] 100.0% ----------------------------------------------------------------------- for-loop [31] 50.0% one-iter [24] 50.0% [31] 2626(24.1%) 622(5.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [31] 50.0% match-e [42] 38.2% ----------------------------------------------------------------------- simplify! [25] 100.0% [32] 2608(24.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [37] 100.0% ----------------------------------------------------------------------- for-loop [26] 100.0% [33] 1412(13.0%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [38] 85.7% loop [73] 14.3% ----------------------------------------------------------------------- one-iter [24] 100.0% [34] 604(5.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [39] 100.0% ----------------------------------------------------------------------- map-enodes [27] 100.0% [35] 218(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [40] 100.0% ----------------------------------------------------------------------- gen-series! [29] 100.0% [36] 202(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [38] 100.0% ----------------------------------------------------------------------- for-loop [32] 8.6% run [9] 44.8% [37] 10874(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.8% run-improve58 [2] 25.4% loop [41] 21.2% simplify [3] 8.6% ----------------------------------------------------------------------- for-loop [36] 12.5% loop [73] 12.5% append-map [33] 75.0% [38] 1614(14.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% ----------------------------------------------------------------------- loop [34] 100.0% [39] 604(5.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [44] 66.9% match-e [42] 33.1% ----------------------------------------------------------------------- for-loop [35] 100.0% [40] 218(2.0%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 constant? [67] 100.0% ----------------------------------------------------------------------- ??? [37] 100.0% [41] 4606(42.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [45] 55.9% make-exacts* [49] 44.1% ----------------------------------------------------------------------- apply-match [39] 9.1% for-loop [52] 13.7% for-loop [31] 77.2% [42] 2204(20.3%) 802(7.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [47] 31.8% for-loop [52] 27.3% list-cartesian-product [53] 9.1% ----------------------------------------------------------------------- taylor-alt [38] 100.0% [43] 1614(14.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% ----------------------------------------------------------------------- apply-match [39] 100.0% [44] 404(3.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [48] 100.0% ----------------------------------------------------------------------- loop [41] 100.0% [45] 2574(23.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [49] 53.8% loop [51] 46.2% ----------------------------------------------------------------------- location-do [46] 41.9% for-loop [43] 58.1% [46] 1614(14.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [50] 58.1% location-do [46] 41.9% ----------------------------------------------------------------------- match-e [42] 100.0% [47] 802(7.4%) 400(3.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [53] 37.7% for-loop [52] 12.5% ----------------------------------------------------------------------- merge-egraph-nodes! [44] 100.0% [48] 404(3.7%) 202(1.9%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [54] 50.0% ----------------------------------------------------------------------- loop [45] 40.5% loop [41] 59.5% [49] 3416(31.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [55] 49.9% loop [73] 42.9% eval-prog [59] 7.2% ----------------------------------------------------------------------- location-do [46] 100.0% [50] 1614(14.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [56] 62.6% f6 [74] 24.9% taylor-sqrt [57] 12.5% ----------------------------------------------------------------------- loop [45] 100.0% [51] 1190(10.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [55] 100.0% ----------------------------------------------------------------------- for-loop [47] 19.9% match-e [42] 80.1% [52] 1004(9.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [42] 60.2% ??? [58] 39.8% ----------------------------------------------------------------------- match-e [42] 16.6% list-cartesian-product [53] 33.4% for-loop [47] 50.0% [53] 602(5.5%) 402(3.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [53] 33.4% for-loop [60] 16.6% ----------------------------------------------------------------------- update-leader! [48] 100.0% [54] 202(1.9%) 202(1.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 ----------------------------------------------------------------------- ??? [62] 2.6% f6 [74] 23.2% loop [51] 30.5% make-exacts* [49] 43.7% [55] 3904(35.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [73] 70.6% f6 [74] 10.3% ??? [86] 6.1% parse-loop12 [70] 5.2% ??? [62] 5.1% ->flonum [64] 2.6% ----------------------------------------------------------------------- approximate9 [50] 100.0% [56] 1010(9.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [61] 100.0% ----------------------------------------------------------------------- f6 [74] 50.0% approximate9 [50] 50.0% [57] 404(3.7%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [61] 100.0% ----------------------------------------------------------------------- for-loop [52] 100.0% [58] 400(3.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [63] 100.0% ----------------------------------------------------------------------- make-exacts* [49] 100.0% [59] 246(2.3%) 246(2.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- list-cartesian-product [53] 100.0% [60] 200(1.8%) 200(1.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- for-loop [15] 6.2% ??? [62] 6.2% localize-error [8] 6.2% ??? [23] 6.2% for-loop [21] 6.3% taylor-sqrt [57] 9.4% ??? [66] 12.4% ??? [65] 13.6% for-loop [13] 13.6% loop [56] 19.8% [61] 1616(14.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [69] 22.9% ??? [5] 13.6% ??? [65] 13.6% ??? [6] 12.5% f6 [74] 12.4% ??? [66] 12.4% ??? [7] 6.3% parse-loop12 [70] 6.2% ----------------------------------------------------------------------- map [55] 49.8% loop [73] 50.2% [62] 402(3.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 taylor-invert [68] 49.8% hash-ref! [61] 25.1% map [55] 25.1% ----------------------------------------------------------------------- ??? [58] 100.0% [63] 400(3.7%) 198(1.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 constant? [67] 50.5% ----------------------------------------------------------------------- map [55] 100.0% [64] 202(1.9%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [98] 100.0% ----------------------------------------------------------------------- hash-ref! [61] 100.0% [65] 810(7.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [61] 100.0% ----------------------------------------------------------------------- hash-ref! [61] 100.0% [66] 604(5.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [61] 100.0% ----------------------------------------------------------------------- for-loop [63] 48.1% setfindf [40] 51.9% [67] 420(3.9%) 420(3.9%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- f6 [74] 50.0% ??? [62] 50.0% [68] 400(3.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [69] 100.0% ----------------------------------------------------------------------- taylor-invert [68] 24.8% hash-ref! [61] 75.2% [69] 1614(14.8%) 200(1.8%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [70] 37.7% f6 [74] 25.0% debug-print [71] 12.5% debug7 [72] 12.4% ----------------------------------------------------------------------- map [55] 6.2% hash-ref! [61] 24.9% parse-loop12 [70] 25.1% simplify [69] 43.8% [70] 810(7.4%) 608(5.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [70] 25.1% loop [73] 24.9% f6 [74] 6.2% ----------------------------------------------------------------------- simplify [69] 100.0% [71] 202(1.9%) 202(1.9%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- simplify [69] 100.0% [72] 200(1.8%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [75] 100.0% ----------------------------------------------------------------------- make-exacts* [49] 0.1% map-enodes [27] 0.2% parse-loop12 [70] 0.3% extract-alt [22] 3.6% append-map [33] 3.6% post-process [20] 5.4% map [55] 13.0% loop [73] 73.8% [73] 5566(51.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [73] 73.8% ??? [86] 12.8% completely-simplify-alt [4] 5.0% taylor-alt [38] 3.6% simplify [3] 3.6% ??? [62] 0.7% localize-error [8] 0.3% set-precompute! [78] 0.2% ----------------------------------------------------------------------- approximate9 [50] 12.5% simplify [69] 12.5% f6 [74] 16.6% map [55] 16.7% parse-loop12 [70] 16.7% hash-ref! [61] 25.0% [74] 1208(11.1%) 202(1.9%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [55] 58.4% f6 [74] 16.6% composed [77] 8.4% taylor-invert [68] 8.3% taylor-sqrt [57] 4.2% ----------------------------------------------------------------------- debug7 [72] 24.9% post-process [20] 25.1% finalize-iter! [28] 50.0% [75] 804(7.4%) 200(1.8%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [76] 75.1% ----------------------------------------------------------------------- ??? [75] 100.0% [76] 604(5.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [79] 100.0% ----------------------------------------------------------------------- loop [30] 49.5% f6 [74] 50.5% [77] 400(3.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [81] 50.5% errors [84] 49.5% ----------------------------------------------------------------------- loop [73] 100.0% [78] 202(1.9%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [80] 100.0% ----------------------------------------------------------------------- for-loop [76] 100.0% [79] 604(5.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [82] 66.6% override-at-pnts [83] 33.4% ----------------------------------------------------------------------- set-precompute! [78] 100.0% [80] 202(1.9%) 202(1.9%) make-sequence ...ects/racket/private/for.rkt:508:2 ----------------------------------------------------------------------- composed [77] 100.0% [81] 202(1.9%) 202(1.9%) free-variables ...ock/herbie/src/programs.rkt:89:0 ----------------------------------------------------------------------- atab-add-altn [79] 100.0% [82] 402(3.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [84] 100.0% ----------------------------------------------------------------------- atab-add-altn [79] 100.0% [83] 202(1.9%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [84] 100.0% ----------------------------------------------------------------------- composed [77] 24.7% override-at-pnts [83] 25.2% best-and-tied-at-points [82] 50.1% [84] 802(7.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [85] 100.0% ----------------------------------------------------------------------- errors [84] 100.0% [85] 802(7.4%) 202(1.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [86] 49.6% ulp-difference [87] 25.2% ----------------------------------------------------------------------- map [55] 5.0% for-loop [85] 8.4% loop [73] 86.6% [86] 4758(43.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [88] 49.2% ??? [89] 46.0% ??? [97] 4.8% ----------------------------------------------------------------------- for-loop [85] 100.0% [87] 202(1.9%) 202(1.9%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ----------------------------------------------------------------------- ??? [86] 100.0% [88] 2340(21.5%) 2090(19.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [99] 10.7% ----------------------------------------------------------------------- ??? [86] 100.0% [89] 2188(20.1%) 200(1.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 34.7% bf* [90] 34.6% ...higher-order.rkt:373:33 [91] 12.4% ??? [92] 9.0% ----------------------------------------------------------------------- ??? [89] 100.0% [90] 758(7.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [93] 100.0% ----------------------------------------------------------------------- ??? [89] 100.0% [91] 272(2.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% ----------------------------------------------------------------------- ??? [89] 100.0% [92] 198(1.8%) 198(1.8%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- bf* [90] 49.9% ??? [89] 50.1% [93] 1518(14.0%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqrt [95] 50.1% bfmul [96] 49.9% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [91]100.0% [94] 272(2.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [97] 100.0% ----------------------------------------------------------------------- ??? [93] 100.0% [95] 760(7.0%) 540(5.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 28.9% ----------------------------------------------------------------------- ??? [93] 100.0% [96] 758(7.0%) 758(7.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ----------------------------------------------------------------------- ??? [86] 45.8% ??? [94] 54.2% [97] 502(4.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ----------------------------------------------------------------------- ->flonum [64] 28.7% ??? [97] 71.3% [98] 704(6.5%) 230(2.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [100] 67.3% ----------------------------------------------------------------------- bfsqrt [95] 46.8% real->bigfloat [88] 53.2% [99] 470(4.3%) 470(4.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [98] 100.0% [100] 474(4.4%) 474(4.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 -----------------------------------------------------------------------