Profiling results ----------------- Total cpu time observed: 26920ms (out of 27588ms) Number of samples taken: 114 (once every 236ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 97 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [33] 100.0% [1] 26264(97.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [2] 9664(35.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 52.3% finalize-table! [12] 45.3% loop [38] 2.4% ----------------------------------------------------------------------- location-do [87] 100.0% [3] 6588(24.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [9] 90.8% taylor [16] 3.1% taylor-sqrt [14] 3.1% f16 [67] 3.1% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [4] 4580(17.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [5] 3934(14.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [6] 1064(4.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [31] 41.5% iterate-egraph!5 [34] 37.8% for-loop [15] 20.7% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [7] 200(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [17] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 98.3% [8] 26718(99.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% ----------------------------------------------------------------------- approximate9 [3] 100.0% [9] 5982(22.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [56] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 5052(18.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [18] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [11] 4580(17.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [56] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 4380(16.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [19] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [13] 3934(14.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [20] 100.0% ----------------------------------------------------------------------- f16 [67] 50.0% approximate9 [3] 50.0% [14] 404(1.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [56] 100.0% ----------------------------------------------------------------------- simplify [6] 100.0% [15] 220(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [34] 100.0% ----------------------------------------------------------------------- approximate9 [3] 100.0% [16] 202(0.8%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [21] 100.0% ----------------------------------------------------------------------- ??? [7] 100.0% [17] 200(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [74] 100.0% ----------------------------------------------------------------------- for-loop [10] 100.0% [18] 5052(18.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [23] 61.6% simplify! [24] 21.1% finalize-iter! [25] 12.7% localize-error [26] 4.7% ----------------------------------------------------------------------- finalize-table! [12] 100.0% [19] 4380(16.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [22] 79.4% ??? [32] 5.5% loop [77] 5.1% completely-simplify-alt [27] 5.1% localize-error [26] 5.0% ----------------------------------------------------------------------- for-loop [13] 100.0% [20] 3934(14.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [56] 100.0% ----------------------------------------------------------------------- taylor [16] 100.0% [21] 202(0.8%) 202(0.8%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ----------------------------------------------------------------------- post-process [19] 100.0% [22] 3476(12.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [28] 100.0% ----------------------------------------------------------------------- run-iter! [18] 100.0% [23] 3112(11.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ----------------------------------------------------------------------- run-iter! [18] 100.0% [24] 1064(4.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [30] 100.0% ----------------------------------------------------------------------- run-iter! [18] 100.0% [25] 640(2.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [32] 100.0% ----------------------------------------------------------------------- post-process [19] 48.2% run-iter! [18] 51.8% [26] 456(1.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [56] 100.0% ----------------------------------------------------------------------- post-process [19] 50.0% loop [77] 50.0% [27] 444(1.6%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [31] 100.0% ----------------------------------------------------------------------- for-loop [22] 100.0% [28] 3476(12.9%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [80] 70.6% loop [77] 29.4% ----------------------------------------------------------------------- gen-series! [23] 100.0% [29] 3112(11.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [80] 100.0% ----------------------------------------------------------------------- simplify! [24] 100.0% [30] 1064(4.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 100.0% ----------------------------------------------------------------------- simplify [6] 49.9% completely-simplify-alt [27] 50.1% [31] 886(3.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [34] 74.9% loop [37] 25.1% ----------------------------------------------------------------------- post-process [19] 27.3% finalize-iter! [25] 72.7% [32] 880(3.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [35] 72.7% atab-add-altns [36] 27.3% ----------------------------------------------------------------------- for-loop [30] 1.4% run [8] 49.9% [33] 26920(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.2% loop [38] 32.9% run-improve58 [2] 17.4% simplify [6] 1.4% ----------------------------------------------------------------------- for-loop [15] 17.1% simplify [6] 31.3% simplify-expr [31] 51.6% [34] 1286(4.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [39] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [35] 640(2.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [36] 240(0.9%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [40] 100.0% ----------------------------------------------------------------------- simplify-expr [31] 100.0% [37] 222(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [41] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 1.3% ??? [33] 98.7% [38] 17488(65.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [42] 51.8% make-exacts* [48] 34.6% loop [49] 11.0% for-loop [45] 2.6% ----------------------------------------------------------------------- iterate-egraph!5 [34] 100.0% [39] 1286(4.8%) 444(1.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [44] 49.8% loop [47] 15.7% ----------------------------------------------------------------------- atab-add-altns [36] 27.3% for-loop [35] 72.7% [40] 880(3.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [43] 100.0% ----------------------------------------------------------------------- loop [37] 100.0% [41] 222(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 loop [46] 100.0% ----------------------------------------------------------------------- loop [38] 100.0% [42] 9058(33.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [49] 58.6% make-exacts* [48] 36.1% eval-prog [53] 5.3% ----------------------------------------------------------------------- atab-add-altn [40] 100.0% [43] 880(3.3%) 240(0.9%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [50] 72.7% ----------------------------------------------------------------------- for-loop [44] 50.0% one-iter [39] 50.0% [44] 640(2.4%) 200(0.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [44] 50.0% match-e [54] 34.4% ----------------------------------------------------------------------- loop [38] 100.0% [45] 454(1.7%) 222(0.8%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [51] 51.1% ----------------------------------------------------------------------- pass [41] 100.0% [46] 222(0.8%) 222(0.8%) loop ...hare/racket/collects/racket/list.rkt:551:2 ----------------------------------------------------------------------- one-iter [39] 100.0% [47] 202(0.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [52] 100.0% ----------------------------------------------------------------------- loop [42] 35.1% loop [38] 64.9% [48] 9320(34.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [70] 49.5% loop [77] 45.4% eval-prog [53] 5.1% ----------------------------------------------------------------------- loop [38] 26.6% loop [42] 73.4% [49] 7232(26.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [70] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [43] 100.0% [50] 640(2.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [55] 65.6% eval-prog [53] 34.4% ----------------------------------------------------------------------- for-loop [45] 100.0% [51] 232(0.9%) 232(0.9%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 ----------------------------------------------------------------------- loop [47] 100.0% [52] 202(0.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [54] 100.0% ----------------------------------------------------------------------- errors [50] 18.7% make-exacts* [48] 40.4% loop [42] 40.9% [53] 1178(4.4%) 428(1.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ??? [58] 23.4% hash-ref! [56] 21.6% parse-app [59] 18.7% ----------------------------------------------------------------------- apply-match [52] 15.7% for-loop [63] 32.9% for-loop [44] 51.4% [54] 642(2.4%) 220(0.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [57] 82.9% ----------------------------------------------------------------------- errors [50] 100.0% [55] 420(1.6%) 220(0.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [79] 47.6% ----------------------------------------------------------------------- for-loop [78] 0.5% loop [77] 1.8% eval-prog [53] 1.8% taylor-sqrt [14] 3.8% localize-error [26] 6.4% ??? [62] 9.1% for-loop [20] 12.1% for-loop [11] 16.8% ??? [61] 22.4% loop [9] 25.2% [56] 7096(26.4%) 200(0.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [60] 26.2% ??? [61] 22.4% ??? [4] 16.8% ??? [5] 12.1% ??? [62] 9.1% parse-loop12 [74] 6.4% bigfloat-hash [65] 1.8% ??? [7] 0.5% ----------------------------------------------------------------------- match-e [54] 100.0% [57] 642(2.4%) 220(0.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [63] 50.0% list-cartesian-product [66] 15.7% ----------------------------------------------------------------------- eval-prog [53] 100.0% [58] 276(1.0%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [64] 100.0% ----------------------------------------------------------------------- eval-prog [53] 100.0% [59] 220(0.8%) 220(0.8%) parse-app .../collects/racket/private/kw.rkt:903:2 ----------------------------------------------------------------------- hash-ref! [56] 100.0% [60] 6186(23.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [74] 60.4% f16 [67] 32.8% debug-print [68] 6.8% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [61] 5782(21.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [56] 100.0% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [62] 2476(9.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [56] 100.0% ----------------------------------------------------------------------- for-loop [57] 100.0% [63] 422(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [54] 100.0% ----------------------------------------------------------------------- ??? [58] 100.0% [64] 276(1.0%) 276(1.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ----------------------------------------------------------------------- hash-ref! [56] 100.0% [65] 254(0.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [69] 100.0% ----------------------------------------------------------------------- list-cartesian-product [66] 50.0% for-loop [57] 50.0% [66] 202(0.8%) 202(0.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [66] 50.0% ----------------------------------------------------------------------- approximate9 [3] 2.6% map [70] 6.4% parse-loop12 [74] 30.7% simplify [60] 60.4% [67] 2636(9.8%) 806(3.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [70] 56.7% composed [72] 11.5% gather-multiplicative-terms [73] 3.8% taylor-sqrt [14] 2.6% ----------------------------------------------------------------------- simplify [60] 100.0% [68] 422(1.6%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [71] 100.0% ----------------------------------------------------------------------- bigfloat-hash [65] 100.0% [69] 254(0.9%) 254(0.9%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- parse-loop12 [74] 7.9% f16 [67] 11.1% make-exacts* [48] 30.9% loop [49] 48.5% [70] 14916(55.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [77] 82.0% parse-loop12 [74] 13.2% f16 [67] 1.8% ->flonum [85] 1.6% ??? [79] 1.5% ----------------------------------------------------------------------- debug-print [68] 100.0% [71] 422(1.6%) 422(1.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- f16 [67] 100.0% [72] 404(1.5%) 202(0.8%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [76] 50.0% ----------------------------------------------------------------------- f16 [67] 100.0% [73] 202(0.8%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:107:0 compose [75] 100.0% ----------------------------------------------------------------------- for-loop [17] 3.3% hash-ref! [56] 7.6% loop [77] 10.0% map [70] 17.9% simplify [60] 23.1% parse-loop12 [74] 38.2% [74] 6018(22.4%) 4152(15.4%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [74] 38.2% loop [77] 14.9% f16 [67] 8.4% map [70] 6.2% for-loop [78] 3.3% ----------------------------------------------------------------------- gather-multiplicative-terms [73]100.0% [75] 202(0.8%) 202(0.8%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------- composed [72] 100.0% [76] 202(0.8%) 202(0.8%) free-variables ...ock/herbie/src/programs.rkt:89:0 ----------------------------------------------------------------------- post-process [19] 0.1% make-exacts* [48] 0.3% append-map [28] 3.7% parse-loop12 [74] 6.2% map [70] 6.4% loop [77] 82.0% [77] 19642(73.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [77] 82.0% parse-loop12 [74] 9.3% taylor-alt [80] 3.7% ??? [79] 3.6% hash-ref! [56] 1.3% completely-simplify-alt [27] 0.1% ??? [86] 0.0% ----------------------------------------------------------------------- parse-loop12 [74] 100.0% [78] 200(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [56] 100.0% ----------------------------------------------------------------------- for-loop [55] 1.2% map [70] 1.3% loop [77] 97.4% [79] 16276(60.5%) 686(2.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 59.3% real->bigfloat [83] 25.3% ??? [84] 9.9% ->flonum [85] 1.2% ----------------------------------------------------------------------- loop [77] 15.5% append-map [28] 37.2% for-loop [29] 47.2% [80] 6588(24.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [82] 100.0% ----------------------------------------------------------------------- ??? [79] 100.0% [81] 9654(35.9%) 830(3.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [86] 91.4% ----------------------------------------------------------------------- taylor-alt [80] 100.0% [82] 6588(24.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [87] 100.0% ----------------------------------------------------------------------- ??? [79] 100.0% [83] 4120(15.3%) 2474(9.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [92] 40.0% ----------------------------------------------------------------------- ??? [79] 100.0% [84] 1616(6.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [91] 100.0% ----------------------------------------------------------------------- ??? [79] 45.9% map [70] 54.1% [85] 436(1.6%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [91] 54.1% ??? [88] 45.9% ----------------------------------------------------------------------- loop [77] 2.4% ??? [81] 97.6% [86] 9044(33.6%) 2674(9.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqrt [89] 35.6% bfexpt [90] 29.5% ??? [91] 5.3% ----------------------------------------------------------------------- for-loop [82] 38.6% location-do [87] 61.4% [87] 6588(24.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [87] 61.4% approximate9 [3] 38.6% ----------------------------------------------------------------------- ->flonum [85] 100.0% [88] 200(0.7%) 200(0.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ??? [86] 100.0% [89] 3224(12.0%) 2982(11.1%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [92] 7.5% ----------------------------------------------------------------------- ??? [86] 100.0% [90] 2670(9.9%) 1424(5.3%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [92] 46.7% ----------------------------------------------------------------------- ->flonum [85] 10.1% ??? [86] 20.4% ??? [84] 69.4% [91] 2328(8.6%) 1184(4.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [93] 49.1% ----------------------------------------------------------------------- bfsqrt [89] 7.7% bfexpt [90] 39.8% real->bigfloat [83] 52.5% [92] 3134(11.6%) 3134(11.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [91] 100.0% [93] 1144(4.2%) 684(2.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [94] 40.2% ----------------------------------------------------------------------- ??? [93] 100.0% [94] 460(1.7%) 460(1.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------