Profiling results ----------------- Total cpu time observed: 23288ms (out of 23616ms) Number of samples taken: 100 (once every 233ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [25] 100.0% [1] 22866(98.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [25] 100.0% [2] 8010(34.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 91.2% loop [29] 6.1% get-final-combination [14] 2.7% ---------------------------------------------------------------------- hash-ref! [57] 100.0% [3] 1006(4.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [57] 100.0% [4] 806(3.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [12] 100.0% ---------------------------------------------------------------------- hash-ref! [57] 100.0% [5] 402(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [13] 100.0% ---------------------------------------------------------------------- hash-ref! [57] 100.0% [6] 260(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [53] 100.0% ---------------------------------------------------------------------- f37 [43] 100.0% [7] 198(0.9%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [10] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 99.1% [8] 23068(99.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [25] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 7304(31.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ---------------------------------------------------------------------- taylor-invert [7] 9.9% hash-ref! [57] 90.1% [10] 2006(8.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [43] 60.1% parse-loop25 [51] 39.9% ---------------------------------------------------------------------- ??? [3] 100.0% [11] 1006(4.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [57] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [12] 806(3.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [16] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [13] 402(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop25 [51] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 220(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [15] 7304(31.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 53.4% gen-series! [19] 27.5% finalize-iter! [20] 16.4% choose-best-alt! [21] 2.7% ---------------------------------------------------------------------- for-loop [12] 100.0% [16] 806(3.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [57] 100.0% ---------------------------------------------------------------------- get-final-combination [14] 100.0% [17] 220(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [53] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [18] 3902(16.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [22] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [19] 2006(8.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [23] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [20] 1200(5.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [21] 196(0.8%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [24] 100.0% ---------------------------------------------------------------------- simplify! [18] 100.0% [22] 3902(16.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [25] 100.0% ---------------------------------------------------------------------- gen-series! [19] 100.0% [23] 2006(8.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [26] 100.0% ---------------------------------------------------------------------- choose-best-alt! [21] 14.0% finalize-iter! [20] 86.0% [24] 1396(6.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [27] 86.0% atab-pick-alt8 [28] 14.0% ---------------------------------------------------------------------- for-loop [22] 5.6% run [8] 47.6% [25] 23068(99.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.7% loop [29] 33.1% run-improve58 [2] 14.5% simplify [56] 5.6% ---------------------------------------------------------------------- for-loop [23] 100.0% [26] 2006(8.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [30] 100.0% ---------------------------------------------------------------------- ??? [24] 100.0% [27] 1200(5.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [31] 100.0% ---------------------------------------------------------------------- ??? [24] 100.0% [28] 196(0.8%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [32] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 3.1% ??? [25] 96.9% [29] 15544(66.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [38] 57.1% loop [33] 41.5% loop [39] 1.5% ---------------------------------------------------------------------- taylor-alt [26] 100.0% [30] 2006(8.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [34] 100.0% ---------------------------------------------------------------------- for-loop [27] 100.0% [31] 1200(5.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [35] 83.3% loop [36] 16.7% ---------------------------------------------------------------------- atab-pick-alt8 [28] 100.0% [32] 196(0.8%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [37] 100.0% ---------------------------------------------------------------------- loop [29] 100.0% [33] 6450(27.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [39] 58.6% make-exacts* [38] 41.4% ---------------------------------------------------------------------- for-loop [30] 42.5% location-do [34] 57.5% [34] 2006(8.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [34] 57.5% approximate9 [40] 42.5% ---------------------------------------------------------------------- atab-add-altn [31] 100.0% [35] 1000(4.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [41] 60.2% errors [48] 39.8% ---------------------------------------------------------------------- atab-add-altn [31] 100.0% [36] 200(0.9%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [53] 100.0% ---------------------------------------------------------------------- ??? [32] 100.0% [37] 196(0.8%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [42] 100.0% ---------------------------------------------------------------------- loop [33] 23.1% loop [29] 76.9% [38] 11536(49.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [47] 51.2% loop [53] 46.6% eval-prog [45] 2.3% ---------------------------------------------------------------------- loop [29] 5.6% loop [33] 94.4% [39] 4008(17.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [47] 100.0% ---------------------------------------------------------------------- location-do [34] 100.0% [40] 2006(8.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [44] 80.2% f37 [43] 19.8% ---------------------------------------------------------------------- best-and-tied-at-points [35] 100.0% [41] 602(2.6%) 602(2.6%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- best-alt [37] 100.0% [42] 196(0.8%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [46] 100.0% ---------------------------------------------------------------------- loop [53] 3.7% f37 [43] 9.1% parse-loop25 [51] 11.1% map [47] 12.7% approximate9 [40] 12.9% simplify [10] 50.4% [43] 1804(7.7%) 402(1.7%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [47] 66.4% loop [50] 11.1% f37 [43] 9.1% gather-multiplicative-terms [49] 3.7% taylor-invert [7] 1.8% ---------------------------------------------------------------------- approximate9 [40] 100.0% [44] 1608(6.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [57] 100.0% ---------------------------------------------------------------------- make-exacts* [38] 100.0% [45] 260(1.1%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [57] 100.0% ---------------------------------------------------------------------- argmins [42] 100.0% [46] 196(0.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [48] 100.0% ---------------------------------------------------------------------- f37 [43] 12.4% loop [39] 35.4% make-exacts* [38] 52.2% [47] 11316(48.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [53] 85.8% parse-loop25 [51] 9.7% f37 [43] 2.7% ??? [55] 1.8% ---------------------------------------------------------------------- composed [46] 33.0% best-and-tied-at-points [35] 67.0% [48] 594(2.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [52] 100.0% ---------------------------------------------------------------------- f37 [43] 100.0% [49] 202(0.9%) 202(0.9%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ---------------------------------------------------------------------- f37 [43] 100.0% [50] 200(0.9%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [57] 100.0% ---------------------------------------------------------------------- for-loop [13] 4.4% loop [53] 14.5% parse-loop25 [51] 20.3% simplify [10] 26.4% map [47] 34.4% [51] 1804(7.7%) 1402(6.0%) parse-loop25 ...s/racket/match/compiler.rkt:410:15 loop [53] 25.7% parse-loop25 [51] 20.3% f37 [43] 5.5% for-loop [54] 4.4% ---------------------------------------------------------------------- errors [48] 100.0% [52] 594(2.6%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [55] 100.0% ---------------------------------------------------------------------- loop [36] 0.0% make-exacts* [38] 0.0% extract-alt [17] 0.4% map [47] 0.7% ??? [6] 1.6% parse-loop25 [51] 4.6% loop [53] 92.7% [53] 16766(72.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [53] 92.7% parse-loop25 [51] 4.0% hash-ref! [57] 1.6% ??? [55] 0.8% f37 [43] 0.6% simplify [56] 0.4% loop [59] 0.0% ->flonum [58] 0.0% ---------------------------------------------------------------------- parse-loop25 [51] 100.0% [54] 402(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [57] 100.0% ---------------------------------------------------------------------- map [47] 1.3% for-loop [52] 3.8% loop [53] 94.9% [55] 15640(67.2%) 934(4.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [60] 86.0% real->bigfloat [63] 8.0% ---------------------------------------------------------------------- loop [53] 5.3% ??? [25] 94.7% [56] 4122(17.7%) 202(0.9%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [61] 44.4% iterate-egraph!5 [67] 40.9% for-loop [65] 9.8% ---------------------------------------------------------------------- eval-prog [45] 2.1% for-loop [54] 3.0% loop [50] 4.8% for-loop [16] 6.9% loop [53] 10.5% ??? [64] 11.8% for-loop [11] 14.8% ??? [62] 23.1% loop [44] 23.1% [57] 2068(8.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [10] 27.9% ??? [62] 23.1% ??? [3] 14.8% ??? [64] 11.8% ??? [6] 10.5% ??? [4] 6.9% ??? [5] 3.0% bigfloat-hash [66] 2.1% ---------------------------------------------------------------------- loop [53] 100.0% [58] 238(1.0%) 238(1.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ---------------------------------------------------------------------- loop [53] 20.0% loop [59] 80.0% [59] 200(0.9%) 200(0.9%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [59] 80.0% ---------------------------------------------------------------------- ??? [55] 100.0% [60] 13452(57.8%) 594(2.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [72] 68.1% bf* [68] 11.8% ...higher-order.rkt:373:33 [69] 8.9% bffma [70] 4.7% ...ow-val-first.rkt:357:18 [74] 2.0% ---------------------------------------------------------------------- simplify [56] 100.0% [61] 1832(7.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [67] 100.0% ---------------------------------------------------------------------- hash-ref! [57] 100.0% [62] 1608(6.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [57] 100.0% ---------------------------------------------------------------------- ??? [55] 100.0% [63] 1254(5.4%) 760(3.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [81] 39.4% ---------------------------------------------------------------------- hash-ref! [57] 100.0% [64] 1006(4.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [57] 100.0% ---------------------------------------------------------------------- simplify [56] 100.0% [65] 402(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [67] 100.0% ---------------------------------------------------------------------- hash-ref! [57] 100.0% [66] 260(1.1%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [71] 100.0% ---------------------------------------------------------------------- for-loop [65] 10.3% simplify [56] 43.0% simplify-expr [61] 46.7% [67] 3920(16.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [73] 100.0% ---------------------------------------------------------------------- ??? [60] 100.0% [68] 1592(6.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [72] 100.0% ---------------------------------------------------------------------- ??? [60] 100.0% [69] 1198(5.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [78] 59.9% ??? [83] 40.1% ---------------------------------------------------------------------- ??? [60] 100.0% [70] 636(2.7%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 ...ow-val-first.rkt:357:18 [74] 100.0% ---------------------------------------------------------------------- bigfloat-hash [66] 100.0% [71] 260(1.1%) 260(1.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- bf* [68] 14.8% ??? [60] 85.2% [72] 10758(46.2%) 5654(24.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [76] 26.0% bfcos [77] 17.5% ??? [85] 3.9% ---------------------------------------------------------------------- iterate-egraph!5 [67] 100.0% [73] 3920(16.8%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [75] 84.4% apply-match [84] 5.3% loop [79] 5.2% loop [80] 5.2% ---------------------------------------------------------------------- ??? [60] 29.5% bffma [70] 70.5% [74] 902(3.9%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [78] 100.0% ---------------------------------------------------------------------- for-loop [75] 47.0% one-iter [73] 53.0% [75] 3310(14.2%) 1446(6.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [75] 47.0% match-e [82] 28.2% ---------------------------------------------------------------------- ??? [72] 100.0% [76] 2800(12.0%) 1610(6.9%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [81] 42.5% ---------------------------------------------------------------------- ??? [72] 100.0% [77] 1888(8.1%) 986(4.2%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [81] 47.8% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [69] 44.3% ...ow-val-first.rkt:357:18 [74] 55.7% [78] 1620(7.0%) 236(1.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [83] 85.4% ---------------------------------------------------------------------- one-iter [73] 100.0% [79] 202(0.9%) 202(0.9%) loop ...ket/collects/racket/private/list.rkt:264:4 ---------------------------------------------------------------------- one-iter [73] 100.0% [80] 202(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [84] 100.0% ---------------------------------------------------------------------- real->bigfloat [63] 19.1% bfcos [77] 34.9% bfmul [76] 46.0% [81] 2586(11.1%) 2586(11.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- for-loop [75] 100.0% [82] 1864(8.0%) 1260(5.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 constant? [87] 10.8% for-loop [88] 10.8% custom-in-set [90] 10.7% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [69] 25.8% ??? [78] 74.2% [83] 1864(8.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [85] 100.0% ---------------------------------------------------------------------- loop [80] 49.5% one-iter [73] 50.5% [84] 408(1.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [86] 50.5% loop! [89] 49.5% ---------------------------------------------------------------------- ??? [72] 18.2% ??? [83] 81.8% [85] 2280(9.8%) 950(4.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [91] 58.3% ---------------------------------------------------------------------- apply-match [84] 100.0% [86] 206(0.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [92] 100.0% ---------------------------------------------------------------------- match-e [82] 100.0% [87] 202(0.9%) 202(0.9%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- match-e [82] 100.0% [88] 202(0.9%) 202(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ---------------------------------------------------------------------- apply-match [84] 100.0% [89] 202(0.9%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [93] 100.0% ---------------------------------------------------------------------- match-e [82] 100.0% [90] 200(0.9%) 200(0.9%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- ??? [85] 100.0% [91] 1330(5.7%) 240(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [94] 82.0% ---------------------------------------------------------------------- substitute-e [86] 100.0% [92] 206(0.9%) 206(0.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- loop! [89] 100.0% [93] 202(0.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [95] 100.0% ---------------------------------------------------------------------- ??? [91] 100.0% [94] 1090(4.7%) 1090(4.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- custom-set-union [93] 100.0% [95] 202(0.9%) 202(0.9%) for-loop ...cts/racket/private/set-types.rkt:152:2 ----------------------------------------------------------------------