Profiling results ----------------- Total cpu time observed: 28358ms (out of 28676ms) Number of samples taken: 126 (once every 225ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 100 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [17] 100.0% [1] 27922(98.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- hash-ref! [48] 100.0% [2] 6080(21.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [10] 100.0% ----------------------------------------------------------------------- hash-ref! [48] 100.0% [3] 5074(17.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [11] 100.0% ----------------------------------------------------------------------- hash-ref! [48] 100.0% [4] 1608(5.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% ----------------------------------------------------------------------- hash-ref! [48] 100.0% [5] 1204(4.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [13] 100.0% ----------------------------------------------------------------------- hash-ref! [48] 100.0% [6] 826(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [14] 100.0% ----------------------------------------------------------------------- parse-loop50 [52] 100.0% [7] 206(0.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [15] 100.0% ----------------------------------------------------------------------- map [36] 100.0% [8] 202(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 taylor-sqrt [16] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 99.2% [9] 28156(99.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [17] 100.0% ----------------------------------------------------------------------- ??? [2] 100.0% [10] 6080(21.4%) 202(0.7%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [48] 60.0% ??? [18] 36.7% ----------------------------------------------------------------------- ??? [3] 100.0% [11] 5074(17.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [52] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [12] 1608(5.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [48] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [13] 1204(4.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [48] 83.4% simplify [50] 16.6% ----------------------------------------------------------------------- ??? [6] 100.0% [14] 826(2.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [19] 100.0% ----------------------------------------------------------------------- for-loop [20] 50.0% ??? [7] 50.0% [15] 206(0.7%) 206(0.7%) pattern-match .../herbie/src/core/matcher.rkt:47:0 for-loop [20] 50.0% ----------------------------------------------------------------------- ??? [8] 100.0% [16] 202(0.7%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [48] 100.0% ----------------------------------------------------------------------- for-loop [39] 0.8% run [9] 49.7% [17] 28358(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.9% loop [23] 26.7% run-improve58 [21] 23.7% simplify [22] 0.8% ----------------------------------------------------------------------- for-loop [10] 100.0% [18] 2232(7.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [48] 100.0% ----------------------------------------------------------------------- for-loop [14] 100.0% [19] 826(2.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [48] 100.0% ----------------------------------------------------------------------- pattern-match [15] 100.0% [20] 206(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/matcher.rkt:65:9 pattern-match [15] 100.0% ----------------------------------------------------------------------- ??? [17] 100.0% [21] 13442(47.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [24] 70.9% for-loop [25] 27.6% loop [23] 1.5% ----------------------------------------------------------------------- ??? [17] 100.0% [22] 644(2.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [69] 68.9% simplify-expr [66] 31.1% ----------------------------------------------------------------------- run-improve58 [21] 1.3% ??? [17] 98.7% [23] 15120(53.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [27] 51.5% make-exacts* [31] 34.7% loop [32] 10.9% loop [29] 1.4% ----------------------------------------------------------------------- run-improve58 [21] 100.0% [24] 9532(33.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [26] 100.0% ----------------------------------------------------------------------- run-improve58 [21] 100.0% [25] 3706(13.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [28] 100.0% ----------------------------------------------------------------------- finalize-table! [24] 100.0% [26] 9532(33.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [30] 95.6% loop [55] 2.3% ??? [58] 2.1% ----------------------------------------------------------------------- loop [23] 100.0% [27] 7784(27.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [32] 59.1% make-exacts* [31] 40.9% ----------------------------------------------------------------------- for-loop [25] 100.0% [28] 3706(13.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [33] 71.3% simplify! [34] 17.4% finalize-iter! [35] 11.3% ----------------------------------------------------------------------- loop [23] 0.1% loop [29] 99.9% [29] 216(0.8%) 216(0.8%) loop ...hare/racket/collects/racket/list.rkt:154:2 loop [29] 99.9% ----------------------------------------------------------------------- post-process [26] 100.0% [30] 9110(32.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [37] 100.0% ----------------------------------------------------------------------- loop [27] 37.8% loop [23] 62.2% [31] 8424(29.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [55] 59.5% map [36] 38.2% eval-prog [40] 2.3% ----------------------------------------------------------------------- loop [23] 26.4% loop [27] 73.6% [32] 6246(22.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [36] 100.0% ----------------------------------------------------------------------- run-iter! [28] 100.0% [33] 2642(9.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [38] 100.0% ----------------------------------------------------------------------- run-iter! [28] 100.0% [34] 644(2.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [39] 100.0% ----------------------------------------------------------------------- run-iter! [28] 100.0% [35] 420(1.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [58] 100.0% ----------------------------------------------------------------------- gather-multiplicative-terms [65] 1.5% parse-loop50 [52] 9.9% f16 [60] 20.6% make-exacts* [31] 23.1% loop [32] 44.9% [36] 13902(49.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [55] 66.7% parse-loop50 [52] 16.6% f16 [60] 11.5% ??? [80] 3.3% gather-multiplicative-terms [65] 1.5% ??? [8] 0.5% ----------------------------------------------------------------------- f16 [60] 3.6% for-loop [30] 95.3% [37] 9312(32.8%) 202(0.7%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [41] 84.5% loop [55] 10.8% free-variables [42] 2.2% parse-loop50 [52] 1.1% f16 [60] 0.7% ----------------------------------------------------------------------- gen-series! [33] 100.0% [38] 2642(9.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [41] 100.0% ----------------------------------------------------------------------- simplify! [34] 100.0% [39] 644(2.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [17] 100.0% ----------------------------------------------------------------------- make-exacts* [31] 100.0% [40] 196(0.7%) 196(0.7%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- loop [55] 8.6% for-loop [38] 22.5% append-map [37] 68.9% [41] 11752(41.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% ----------------------------------------------------------------------- append-map [37] 100.0% [42] 202(0.7%) 0(0.0%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [44] 100.0% ----------------------------------------------------------------------- taylor-alt [41] 100.0% [43] 11752(41.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ----------------------------------------------------------------------- free-variables [42] 100.0% [44] 202(0.7%) 202(0.7%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- location-do [45] 32.3% for-loop [43] 67.7% [45] 11752(41.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [46] 67.7% location-do [45] 32.3% ----------------------------------------------------------------------- location-do [45] 100.0% [46] 11752(41.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [47] 96.6% f16 [60] 3.4% ----------------------------------------------------------------------- approximate9 [46] 100.0% [47] 11348(40.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [48] 100.0% ----------------------------------------------------------------------- taylor-sqrt [16] 0.9% for-loop [19] 1.6% for-loop [13] 2.6% for-loop [12] 2.6% ??? [18] 4.6% ??? [51] 5.0% for-loop [10] 7.6% for-loop [56] 11.4% ??? [49] 31.8% loop [47] 31.8% [48] 11550(40.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [49] 31.8% simplify [50] 31.0% ??? [2] 13.1% ??? [3] 11.4% ??? [51] 5.0% ??? [5] 3.5% ??? [4] 2.6% ??? [6] 1.6% ----------------------------------------------------------------------- hash-ref! [48] 100.0% [49] 11348(40.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [48] 100.0% ----------------------------------------------------------------------- for-loop [13] 1.8% hash-ref! [48] 98.2% [50] 11348(40.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [52] 70.0% f16 [60] 24.8% debug-print [53] 1.8% debug7 [54] 1.8% ----------------------------------------------------------------------- hash-ref! [48] 100.0% [51] 2812(9.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [48] 100.0% ----------------------------------------------------------------------- append-map [37] 1.9% loop [55] 7.9% for-loop [11] 14.7% map [36] 17.4% simplify [50] 21.0% parse-loop50 [52] 37.0% [52] 10546(37.2%) 7904(27.9%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [52] 37.0% for-loop [56] 14.7% loop [55] 10.2% map [36] 5.9% f16 [60] 5.2% parse-app [57] 3.6% ??? [7] 0.5% ----------------------------------------------------------------------- simplify [50] 100.0% [53] 200(0.7%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [59] 100.0% ----------------------------------------------------------------------- simplify [50] 100.0% [54] 200(0.7%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [58] 100.0% ----------------------------------------------------------------------- post-process [26] 0.1% make-exacts* [31] 0.4% map [36] 4.2% append-map [37] 5.1% parse-loop50 [52] 12.6% loop [55] 77.6% [55] 19684(69.4%) 430(1.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [55] 77.6% parse-loop50 [52] 11.3% taylor-alt [41] 5.1% f16 [60] 4.4% ??? [80] 1.1% ->flonum [61] 0.3% completely-simplify-alt [63] 0.1% ----------------------------------------------------------------------- parse-loop50 [52] 100.0% [56] 5074(17.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [48] 100.0% ----------------------------------------------------------------------- parse-loop50 [52] 100.0% [57] 826(2.9%) 826(2.9%) parse-app .../collects/racket/private/kw.rkt:903:2 ----------------------------------------------------------------------- debug7 [54] 24.4% post-process [26] 24.4% finalize-iter! [35] 51.2% [58] 820(2.9%) 200(0.7%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [62] 75.6% ----------------------------------------------------------------------- debug-print [53] 100.0% [59] 200(0.7%) 200(0.7%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- append-map [37] 1.0% composed [67] 3.5% approximate9 [46] 6.7% loop [55] 8.5% simplify [50] 20.2% parse-loop50 [52] 27.2% map [36] 33.0% [60] 4022(14.2%) 800(2.8%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [36] 65.6% gather-multiplicative-terms [65] 15.1% taylor-quotient [68] 5.0% append-map [37] 4.5% composed [67] 3.5% compose [71] 1.3% ----------------------------------------------------------------------- loop [55] 100.0% [61] 716(2.5%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [94] 100.0% ----------------------------------------------------------------------- ??? [58] 100.0% [62] 620(2.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [64] 100.0% ----------------------------------------------------------------------- loop [55] 100.0% [63] 222(0.8%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [66] 100.0% ----------------------------------------------------------------------- for-loop [62] 100.0% [64] 620(2.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [70] 100.0% ----------------------------------------------------------------------- map [36] 16.7% f16 [60] 83.3% [65] 606(2.1%) 404(1.4%) gather-multiplicative-terms ...re/reduce.rkt:107:0 compose [71] 33.3% map [36] 16.7% ----------------------------------------------------------------------- simplify [22] 47.4% completely-simplify-alt [63] 52.6% [66] 422(1.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [69] 52.6% loop [72] 47.4% ----------------------------------------------------------------------- f16 [60] 100.0% [67] 404(1.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f16 [60] 100.0% ----------------------------------------------------------------------- f16 [60] 100.0% [68] 202(0.7%) 202(0.7%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 ----------------------------------------------------------------------- simplify-expr [66] 33.3% simplify [22] 66.7% [69] 666(2.3%) 222(0.8%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [73] 66.7% ----------------------------------------------------------------------- atab-add-altn [64] 100.0% [70] 620(2.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [74] 64.5% for-loop [75] 35.5% ----------------------------------------------------------------------- gather-multiplicative-terms [65] 50.0% f16 [60] 50.0% [71] 404(1.4%) 404(1.4%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------- simplify-expr [66] 100.0% [72] 200(0.7%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [76] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [69] 100.0% [73] 444(1.6%) 222(0.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [78] 50.0% ----------------------------------------------------------------------- best-and-tied-at-points [70] 100.0% [74] 400(1.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [77] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [70] 100.0% [75] 220(0.8%) 220(0.8%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- loop [72] 100.0% [76] 200(0.7%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [79] 100.0% ----------------------------------------------------------------------- errors [74] 100.0% [77] 400(1.4%) 200(0.7%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [80] 50.0% ----------------------------------------------------------------------- for-loop [78] 50.0% one-iter [73] 50.0% [78] 222(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [78] 50.0% match-e [81] 50.0% ----------------------------------------------------------------------- pass [76] 100.0% [79] 200(0.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [82] 100.0% ----------------------------------------------------------------------- for-loop [77] 1.5% map [36] 3.3% loop [55] 95.2% [80] 13528(47.7%) 914(3.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [83] 47.5% real->bigfloat [84] 36.0% ??? [92] 9.8% ----------------------------------------------------------------------- for-loop [78] 100.0% [81] 222(0.8%) 222(0.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 ----------------------------------------------------------------------- for-loop [79] 100.0% [82] 200(0.7%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [85] 100.0% ----------------------------------------------------------------------- ??? [80] 100.0% [83] 6430(22.7%) 200(0.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [86] 79.0% ...higher-order.rkt:373:33 [87] 17.9% ----------------------------------------------------------------------- ??? [80] 100.0% [84] 4864(17.2%) 3204(11.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 34.1% ----------------------------------------------------------------------- argmin [82] 100.0% [85] 200(0.7%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [88] 100.0% ----------------------------------------------------------------------- ??? [83] 100.0% [86] 5082(17.9%) 2140(7.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bflog [89] 41.1% ??? [94] 8.7% bfdiv [91] 8.1% ----------------------------------------------------------------------- ??? [83] 100.0% [87] 1148(4.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 61.1% ??? [92] 38.9% ----------------------------------------------------------------------- expression-cost [85] 100.0% [88] 200(0.7%) 200(0.7%) compile .../ztatlock/herbie/src/programs.rkt:189:0 ----------------------------------------------------------------------- ??? [86] 100.0% [89] 2090(7.4%) 1628(5.7%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [93] 22.1% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [87] 100.0% [90] 702(2.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% ----------------------------------------------------------------------- ??? [86] 100.0% [91] 412(1.5%) 196(0.7%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 52.4% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [87] 18.1% ??? [90] 28.4% ??? [80] 53.5% [92] 2468(8.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% ----------------------------------------------------------------------- bfdiv [91] 9.2% bflog [89] 19.8% real->bigfloat [84] 71.0% [93] 2338(8.2%) 2338(8.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [86] 12.1% ->flonum [61] 19.8% ??? [92] 68.1% [94] 3624(12.8%) 1586(5.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 36.5% ??? [96] 19.8% ----------------------------------------------------------------------- ??? [94] 100.0% [95] 1322(4.7%) 638(2.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 51.7% ----------------------------------------------------------------------- ??? [94] 100.0% [96] 716(2.5%) 256(0.9%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [98] 64.2% ----------------------------------------------------------------------- ??? [95] 100.0% [97] 684(2.4%) 684(2.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------- ??? [96] 100.0% [98] 460(1.6%) 460(1.6%) ??? ...lects/racket/contract/private/orc.rkt:73:14 -----------------------------------------------------------------------