Profiling results ----------------- Total cpu time observed: 13018ms (out of 13420ms) Number of samples taken: 52 (once every 250ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [16] 100.0% [1] 12396(95.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% --------------------------------------------------------------------- ??? [16] 100.0% [2] 1240(9.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 66.3% iterate-egraph!5 [17] 17.6% for-loop [15] 16.1% --------------------------------------------------------------------- hash-ref! [80] 100.0% [3] 452(3.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [50] 100.0% --------------------------------------------------------------------- hash-ref! [80] 100.0% [4] 424(3.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [11] 100.0% --------------------------------------------------------------------- match-e [30] 100.0% [5] 402(3.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [12] 100.0% --------------------------------------------------------------------- loop [50] 100.0% [6] 400(3.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% --------------------------------------------------------------------- hash-ref! [80] 100.0% [7] 222(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% --------------------------------------------------------------------- hash-ref! [80] 100.0% [8] 222(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [14] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 12396(95.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [16] 100.0% --------------------------------------------------------------------- completely-simplify-alt [6] 32.7% simplify [2] 67.3% [10] 1222(9.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 100.0% --------------------------------------------------------------------- ??? [4] 100.0% [11] 424(3.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [80] 100.0% --------------------------------------------------------------------- for-loop [5] 100.0% [12] 402(3.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [30] 100.0% --------------------------------------------------------------------- ??? [7] 100.0% [13] 222(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [80] 100.0% --------------------------------------------------------------------- ??? [8] 100.0% [14] 222(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [84] 100.0% --------------------------------------------------------------------- simplify [2] 100.0% [15] 200(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% --------------------------------------------------------------------- for-loop [43] 3.2% run [9] 46.8% [16] 12798(98.3%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.8% loop [18] 34.7% run-improve58 [19] 15.2% simplify [2] 3.2% --------------------------------------------------------------------- for-loop [15] 12.2% simplify [2] 13.3% simplify-expr [10] 74.5% [17] 1640(12.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 100.0% --------------------------------------------------------------------- ??? [16] 100.0% [18] 8890(68.3%) 222(1.7%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [21] 42.9% make-exacts* [26] 34.5% loop [27] 20.1% --------------------------------------------------------------------- ??? [16] 100.0% [19] 3908(30.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [22] 58.2% for-loop [23] 41.8% --------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [20] 1640(12.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 74.5% loop [25] 25.5% --------------------------------------------------------------------- loop [18] 100.0% [21] 3812(29.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [26] 50.7% loop [27] 42.7% eval-prog [35] 6.6% --------------------------------------------------------------------- run-improve58 [19] 100.0% [22] 2274(17.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [28] 100.0% --------------------------------------------------------------------- run-improve58 [19] 100.0% [23] 1634(12.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [29] 100.0% --------------------------------------------------------------------- for-loop [24] 50.0% one-iter [20] 50.0% [24] 1222(9.4%) 620(4.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 50.0% match-e [30] 24.6% --------------------------------------------------------------------- one-iter [20] 100.0% [25] 418(3.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% --------------------------------------------------------------------- loop [21] 38.7% loop [18] 61.3% [26] 5000(38.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [50] 51.0% map [32] 45.0% eval-prog [35] 4.0% --------------------------------------------------------------------- loop [21] 47.6% loop [18] 52.4% [27] 3418(26.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [32] 100.0% --------------------------------------------------------------------- finalize-table! [22] 100.0% [28] 2274(17.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [33] 54.9% loop [50] 26.5% localize-error [36] 9.8% ??? [44] 8.9% --------------------------------------------------------------------- for-loop [23] 100.0% [29] 1634(12.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [34] 75.9% choose-best-alt! [40] 12.1% gen-series! [41] 12.0% --------------------------------------------------------------------- for-loop [12] 33.4% for-loop [24] 66.6% [30] 602(4.6%) 402(3.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [5] 33.4% list-cartesian-product [38] 33.2% --------------------------------------------------------------------- loop [25] 100.0% [31] 418(3.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [37] 52.2% merge-egraph-nodes! [39] 47.8% --------------------------------------------------------------------- f94 [88] 12.7% make-exacts* [26] 34.6% loop [27] 52.6% [32] 6492(49.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [50] 88.8% f94 [88] 3.4% parse-loop50 [89] 3.1% taylor-sqrt [45] 3.1% ??? [47] 1.6% --------------------------------------------------------------------- post-process [28] 100.0% [33] 1248(9.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [42] 100.0% --------------------------------------------------------------------- run-iter! [29] 100.0% [34] 1240(9.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [43] 100.0% --------------------------------------------------------------------- make-exacts* [26] 44.7% loop [21] 55.3% [35] 452(3.5%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [80] 100.0% --------------------------------------------------------------------- loop [50] 47.6% post-process [28] 52.4% [36] 424(3.3%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 for-loop [46] 52.4% hash-ref! [80] 47.6% --------------------------------------------------------------------- substitute-e [37] 50.0% apply-match [31] 50.0% [37] 218(1.7%) 218(1.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [37] 50.0% --------------------------------------------------------------------- list-cartesian-product [38] 50.0% match-e [30] 50.0% [38] 200(1.5%) 200(1.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [38] 50.0% --------------------------------------------------------------------- apply-match [31] 100.0% [39] 200(1.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 loop! [48] 100.0% --------------------------------------------------------------------- run-iter! [29] 100.0% [40] 198(1.5%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [44] 100.0% --------------------------------------------------------------------- run-iter! [29] 100.0% [41] 196(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [49] 100.0% --------------------------------------------------------------------- f94 [88] 11.9% for-loop [33] 88.1% [42] 1248(9.6%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [51] 72.0% loop [50] 16.2% f94 [88] 5.9% free-variables [52] 5.9% --------------------------------------------------------------------- simplify! [34] 100.0% [43] 1240(9.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [16] 100.0% --------------------------------------------------------------------- choose-best-alt! [40] 49.5% post-process [28] 50.5% [44] 400(3.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [54] 50.5% atab-pick-alt8 [56] 49.5% --------------------------------------------------------------------- f94 [88] 49.5% map [32] 50.5% [45] 396(3.0%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [84] 50.5% first-nonzero-exp [57] 49.5% --------------------------------------------------------------------- localize-error [36] 100.0% [46] 222(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:61:10 loop [53] 100.0% --------------------------------------------------------------------- map [32] 100.0% [47] 202(1.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [80] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [39] 100.0% [48] 200(1.5%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [55] 100.0% --------------------------------------------------------------------- gen-series! [41] 100.0% [49] 196(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [51] 100.0% --------------------------------------------------------------------- make-exacts* [26] 0.7% post-process [28] 1.4% append-map [42] 2.1% map [32] 2.1% ??? [3] 4.8% loop [50] 88.9% [50] 9472(72.8%) 202(1.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [50] 88.9% hash-ref! [80] 4.8% taylor-alt [51] 2.1% ??? [58] 1.9% completely-simplify-alt [6] 1.1% ->flonum [61] 0.7% localize-error [36] 0.2% --------------------------------------------------------------------- for-loop [49] 13.6% loop [50] 14.0% append-map [42] 72.4% [51] 1444(11.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [59] 100.0% --------------------------------------------------------------------- append-map [42] 100.0% [52] 222(1.7%) 222(1.7%) free-variables ...ock/herbie/src/programs.rkt:89:0 --------------------------------------------------------------------- for-loop [46] 100.0% [53] 222(1.7%) 0(0.0%) loop ...ket/collects/racket/private/map.rkt:113:23 curried [60] 100.0% --------------------------------------------------------------------- ??? [44] 100.0% [54] 202(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [62] 100.0% --------------------------------------------------------------------- loop! [48] 100.0% [55] 200(1.5%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [63] 100.0% --------------------------------------------------------------------- ??? [44] 100.0% [56] 198(1.5%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [64] 100.0% --------------------------------------------------------------------- taylor-sqrt [45] 100.0% [57] 196(1.5%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [80] 100.0% --------------------------------------------------------------------- loop [50] 100.0% [58] 8012(61.5%) 1440(11.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [65] 57.4% real->bigfloat [66] 18.3% ??? [81] 6.4% --------------------------------------------------------------------- taylor-alt [51] 100.0% [59] 1444(11.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [67] 100.0% --------------------------------------------------------------------- loop [53] 100.0% [60] 222(1.7%) 222(1.7%) curried ...cket/collects/racket/function.rkt:71:18 --------------------------------------------------------------------- loop [50] 100.0% [61] 204(1.6%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [83] 100.0% --------------------------------------------------------------------- for-loop [54] 100.0% [62] 202(1.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [68] 100.0% --------------------------------------------------------------------- custom-set-union [55] 100.0% [63] 200(1.5%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [69] 100.0% --------------------------------------------------------------------- atab-pick-alt8 [56] 100.0% [64] 198(1.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [70] 100.0% --------------------------------------------------------------------- ??? [58] 100.0% [65] 4596(35.3%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [71] 89.8% ...higher-order.rkt:373:33 [73] 10.2% --------------------------------------------------------------------- ??? [58] 100.0% [66] 1464(11.2%) 1464(11.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 --------------------------------------------------------------------- location-do [67] 25.2% for-loop [59] 74.8% [67] 1444(11.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [72] 74.8% location-do [67] 25.2% --------------------------------------------------------------------- atab-add-altn [62] 100.0% [68] 202(1.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [95] 100.0% --------------------------------------------------------------------- for-loop [63] 100.0% [69] 200(1.5%) 200(1.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------- ??? [64] 100.0% [70] 198(1.5%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [74] 100.0% --------------------------------------------------------------------- ??? [65] 100.0% [71] 4128(31.7%) 246(1.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [75] 37.5% bfsqrt [76] 37.4% ??? [83] 19.2% --------------------------------------------------------------------- location-do [67] 100.0% [72] 1444(11.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [77] 58.7% f94 [88] 27.4% debug-print [79] 13.9% --------------------------------------------------------------------- ??? [65] 100.0% [73] 468(3.6%) 220(1.7%) ...higher-order.rkt:373:33 (unknown source) ??? [78] 53.0% --------------------------------------------------------------------- best-alt [70] 100.0% [74] 198(1.5%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [94] 100.0% --------------------------------------------------------------------- ??? [71] 100.0% [75] 1546(11.9%) 1546(11.9%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 --------------------------------------------------------------------- ??? [71] 100.0% [76] 1544(11.9%) 992(7.6%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [82] 35.8% --------------------------------------------------------------------- approximate9 [72] 100.0% [77] 848(6.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [80] 100.0% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [73]100.0% [78] 248(1.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [81] 100.0% --------------------------------------------------------------------- approximate9 [72] 100.0% [79] 200(1.5%) 200(1.5%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 --------------------------------------------------------------------- for-loop [13] 5.2% ??? [47] 5.9% localize-error [36] 5.9% for-loop [11] 6.6% first-nonzero-exp [57] 11.5% ??? [85] 13.1% loop [50] 13.3% eval-prog [35] 13.3% loop [77] 25.0% [80] 1698(13.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [84] 33.9% ??? [3] 13.3% bigfloat-hash [86] 13.3% ??? [85] 13.1% f94 [88] 11.9% ??? [4] 6.6% ??? [7] 5.2% ??? [8] 2.6% --------------------------------------------------------------------- ??? [78] 32.6% ??? [58] 67.4% [81] 760(5.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [83] 100.0% --------------------------------------------------------------------- bfsqrt [76] 100.0% [82] 552(4.2%) 552(4.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ->flonum [61] 11.6% ??? [81] 43.3% ??? [71] 45.1% [83] 1756(13.5%) 204(1.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [87] 88.4% --------------------------------------------------------------------- taylor-sqrt [45] 16.1% for-loop [14] 17.8% hash-ref! [80] 66.1% [84] 1244(9.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [88] 51.9% parse-loop50 [89] 32.3% debug7 [92] 15.8% --------------------------------------------------------------------- hash-ref! [80] 100.0% [85] 646(5.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [80] 100.0% --------------------------------------------------------------------- hash-ref! [80] 100.0% [86] 452(3.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [90] 55.3% bfcanonicalize [91] 44.7% --------------------------------------------------------------------- ??? [83] 100.0% [87] 1552(11.9%) 782(6.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 49.6% --------------------------------------------------------------------- append-map [42] 3.6% composed [94] 3.6% map [32] 7.1% f94 [88] 12.1% hash-ref! [80] 16.2% approximate9 [72] 19.8% simplify [84] 37.7% [88] 1244(9.6%) 222(1.7%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [32] 43.6% taylor-sqrt [45] 15.8% f94 [88] 12.1% append-map [42] 7.1% composed [94] 3.6% --------------------------------------------------------------------- map [32] 33.4% simplify [84] 66.6% [89] 604(4.6%) 604(4.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 --------------------------------------------------------------------- bigfloat-hash [86] 100.0% [90] 250(1.9%) 250(1.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- bigfloat-hash [86] 100.0% [91] 202(1.6%) 202(1.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------- simplify [84] 100.0% [92] 196(1.5%) 196(1.5%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 --------------------------------------------------------------------- ??? [87] 100.0% [93] 770(5.9%) 770(5.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------- loop [74] 47.1% f94 [88] 52.9% [94] 420(3.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f94 [88] 52.9% errors [95] 47.1% --------------------------------------------------------------------- composed [94] 49.5% best-and-tied-at-points [68] 50.5% [95] 400(3.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [96] 100.0% --------------------------------------------------------------------- errors [95] 100.0% [96] 400(3.1%) 400(3.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ---------------------------------------------------------------------