Profiling results ----------------- Total cpu time observed: 21228ms (out of 21676ms) Number of samples taken: 91 (once every 233ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [32] 100.0% [1] 20774(97.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [2] 9568(45.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 75.0% finalize-table! [10] 20.8% loop [38] 4.2% ----------------------------------------------------------------------- ??? [32] 100.0% [3] 4850(22.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 78.8% iterate-egraph!5 [14] 17.0% for-loop [12] 4.2% ----------------------------------------------------------------------- post-process [15] 20.6% loop [77] 79.4% [4] 1086(5.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [9] 100.0% ----------------------------------------------------------------------- f6 [5] 25.0% hash-ref! [70] 75.0% [5] 480(2.3%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [61] 50.0% f6 [5] 25.0% loop [77] 25.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [6] 202(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 98.9% [7] 21004(98.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 7178(33.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [4] 22.1% simplify [3] 77.9% [9] 4908(23.1%) 422(2.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 78.3% loop [16] 8.6% debug7 [86] 4.5% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 1988(9.4%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [11] 202(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [70] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [12] 202(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- for-loop [8] 100.0% [13] 7178(33.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 67.6% finalize-iter! [19] 20.6% choose-best-alt! [22] 5.6% localize-error [20] 3.4% gen-series! [24] 2.8% ----------------------------------------------------------------------- for-loop [12] 4.1% simplify [3] 17.0% simplify-expr [9] 78.9% [14] 4870(22.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 100.0% ----------------------------------------------------------------------- finalize-table! [10] 100.0% [15] 1988(9.4%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [77] 43.4% ??? [27] 21.2% for-loop [23] 12.1% localize-error [20] 12.1% completely-simplify-alt [4] 11.3% ----------------------------------------------------------------------- simplify-expr [9] 100.0% [16] 422(2.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [17] 4870(22.9%) 424(2.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 82.3% loop [30] 4.9% apply-match [35] 4.1% ----------------------------------------------------------------------- run-iter! [13] 100.0% [18] 4850(22.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [19] 1482(7.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ----------------------------------------------------------------------- post-process [15] 49.8% run-iter! [13] 50.2% [20] 482(2.3%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [70] 100.0% ----------------------------------------------------------------------- loop [16] 100.0% [21] 422(2.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [28] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [22] 402(1.9%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [27] 100.0% ----------------------------------------------------------------------- post-process [15] 100.0% [23] 240(1.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [29] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [24] 202(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ----------------------------------------------------------------------- simplify! [18] 100.0% [25] 4850(22.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ----------------------------------------------------------------------- for-loop [26] 50.0% one-iter [17] 50.0% [26] 4006(18.9%) 1912(9.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [39] 26.1% ----------------------------------------------------------------------- choose-best-alt! [22] 17.4% post-process [15] 18.3% finalize-iter! [19] 64.3% [27] 2306(10.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [33] 82.6% atab-pick-alt8 [37] 17.4% ----------------------------------------------------------------------- pass [21] 100.0% [28] 422(2.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [36] 100.0% ----------------------------------------------------------------------- for-loop [23] 100.0% [29] 240(1.1%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [34] 100.0% ----------------------------------------------------------------------- one-iter [17] 100.0% [30] 240(1.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 100.0% ----------------------------------------------------------------------- gen-series! [24] 100.0% [31] 202(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [34] 100.0% ----------------------------------------------------------------------- for-loop [25] 7.6% run [7] 46.2% [32] 21228(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.1% loop [38] 28.5% run-improve58 [2] 18.7% simplify [3] 7.6% ----------------------------------------------------------------------- ??? [27] 100.0% [33] 1904(9.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% ----------------------------------------------------------------------- for-loop [31] 45.7% append-map [29] 54.3% [34] 442(2.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [41] 100.0% ----------------------------------------------------------------------- one-iter [17] 45.5% loop [30] 54.5% [35] 440(2.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [39] 54.5% substitute-e [44] 45.5% ----------------------------------------------------------------------- for-loop [28] 100.0% [36] 422(2.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [42] 100.0% ----------------------------------------------------------------------- ??? [27] 100.0% [37] 402(1.9%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [43] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 3.3% ??? [32] 96.7% [38] 12062(56.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [45] 39.2% make-exacts* [54] 28.9% loop [55] 28.3% filter-points [52] 1.9% for-loop [53] 1.7% ----------------------------------------------------------------------- for-loop [60] 4.3% apply-match [35] 10.3% for-loop [26] 85.4% [39] 2334(11.0%) 1470(6.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [47] 22.5% constant? [51] 10.3% loop [77] 4.3% ----------------------------------------------------------------------- for-loop [33] 100.0% [40] 1904(9.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [46] 100.0% ----------------------------------------------------------------------- taylor-alt [34] 100.0% [41] 442(2.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [48] 100.0% ----------------------------------------------------------------------- argmin [36] 100.0% [42] 422(2.0%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [49] 100.0% ----------------------------------------------------------------------- atab-pick-alt8 [37] 100.0% [43] 402(1.9%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [50] 100.0% ----------------------------------------------------------------------- substitute-e [44] 50.0% apply-match [35] 50.0% [44] 200(0.9%) 200(0.9%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [44] 50.0% ----------------------------------------------------------------------- loop [38] 100.0% [45] 4732(22.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [54] 51.7% loop [55] 43.6% eval-prog [69] 4.7% ----------------------------------------------------------------------- atab-add-altn [40] 100.0% [46] 1904(9.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [66] 88.3% for-loop [58] 11.7% ----------------------------------------------------------------------- match-e [39] 100.0% [47] 624(2.9%) 424(2.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [60] 32.1% ----------------------------------------------------------------------- location-do [48] 50.0% for-loop [41] 50.0% [48] 442(2.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [48] 50.0% approximate9 [56] 50.0% ----------------------------------------------------------------------- expression-cost [42] 100.0% [49] 422(2.0%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [70] 100.0% ----------------------------------------------------------------------- ??? [43] 100.0% [50] 402(1.9%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [57] 100.0% ----------------------------------------------------------------------- match-e [39] 100.0% [51] 240(1.1%) 240(1.1%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- loop [38] 100.0% [52] 230(1.1%) 230(1.1%) filter-points ...tlock/herbie/src/points.rkt:101:0 ----------------------------------------------------------------------- loop [38] 100.0% [53] 202(1.0%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [59] 100.0% ----------------------------------------------------------------------- loop [45] 41.2% loop [38] 58.8% [54] 5934(28.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [61] 54.3% loop [77] 42.3% eval-prog [69] 3.4% ----------------------------------------------------------------------- loop [45] 37.7% loop [38] 62.3% [55] 5472(25.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [61] 100.0% ----------------------------------------------------------------------- location-do [48] 100.0% [56] 442(2.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 100.0% ----------------------------------------------------------------------- best-alt [50] 100.0% [57] 402(1.9%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [63] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [46] 100.0% [58] 222(1.0%) 0(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [64] 100.0% ----------------------------------------------------------------------- for-loop [53] 100.0% [59] 202(1.0%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [65] 100.0% ----------------------------------------------------------------------- for-loop [47] 100.0% [60] 200(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [39] 100.0% ----------------------------------------------------------------------- f6 [5] 2.7% make-exacts* [54] 36.1% loop [55] 61.2% [61] 8934(42.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [77] 95.1% ??? [67] 2.7% ??? [80] 2.2% ----------------------------------------------------------------------- approximate9 [56] 100.0% [62] 442(2.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ----------------------------------------------------------------------- argmins [57] 100.0% [63] 402(1.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [66] 100.0% ----------------------------------------------------------------------- for-loop [58] 100.0% [64] 222(1.0%) 222(1.0%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ----------------------------------------------------------------------- for-loop [59] 100.0% [65] 202(1.0%) 0(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [90] 100.0% ----------------------------------------------------------------------- composed [63] 19.3% best-and-tied-at-points [46] 80.7% [66] 2084(9.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [68] 77.9% eval-prog [69] 22.1% ----------------------------------------------------------------------- map [61] 50.0% loop [77] 50.0% [67] 240(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [70] 100.0% ----------------------------------------------------------------------- errors [66] 100.0% [68] 1624(7.7%) 402(1.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [80] 62.9% ulp-difference [71] 12.3% ----------------------------------------------------------------------- make-exacts* [54] 22.8% loop [45] 25.3% errors [66] 51.9% [69] 886(4.2%) 460(2.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [70] 48.1% ----------------------------------------------------------------------- ??? [76] 2.3% for-loop [11] 4.6% eval-prog [69] 8.6% ??? [67] 9.0% ??? [74] 9.1% loop [62] 9.1% compile [49] 10.0% ??? [72] 13.8% loop [77] 15.4% localize-error [20] 18.2% [70] 1772(8.3%) 422(2.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [72] 29.2% parse-loop12 [73] 22.7% f6 [5] 11.3% ??? [74] 9.1% bigfloat-hash [75] 8.6% ??? [6] 4.6% ??? [76] 2.3% simplify [81] 2.3% ----------------------------------------------------------------------- for-loop [68] 100.0% [71] 200(0.9%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [90] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [72] 848(4.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [77] 50.2% hash-ref! [70] 49.8% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [73] 482(2.3%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [79] 50.2% loop [77] 49.8% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [74] 442(2.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [75] 426(2.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [78] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [76] 202(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ----------------------------------------------------------------------- make-exacts* [54] 0.1% parse-loop12 [73] 0.1% post-process [15] 1.0% match-e [39] 1.5% map [61] 1.6% f6 [5] 1.9% ??? [72] 3.3% loop [77] 90.5% [77] 12972(61.1%) 220(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [77] 90.5% hash-ref! [70] 3.3% simplify [81] 1.9% ??? [80] 1.7% foldl [83] 1.5% completely-simplify-alt [4] 1.0% ??? [67] 0.0% ...higher-order.rkt:373:33 [91] 0.0% ->flonum [82] 0.0% ----------------------------------------------------------------------- bigfloat-hash [75] 100.0% [78] 426(2.0%) 426(2.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- parse-loop12 [73] 1.4% loop [79] 98.6% [79] 242(1.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [79] 98.6% ->flonum [82] 1.4% ----------------------------------------------------------------------- map [61] 1.7% for-loop [68] 8.7% loop [77] 89.7% [80] 11810(55.6%) 434(2.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [84] 56.5% real->bigfloat [85] 36.3% ??? [96] 3.5% ----------------------------------------------------------------------- hash-ref! [70] 45.7% loop [77] 54.3% [81] 442(2.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [87] 54.3% debug7 [86] 45.7% ----------------------------------------------------------------------- loop [77] 44.7% loop [79] 55.3% [82] 438(2.1%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [97] 55.3% ??? [90] 44.7% ----------------------------------------------------------------------- loop [77] 100.0% [83] 200(0.9%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [88] 100.0% ----------------------------------------------------------------------- ??? [80] 100.0% [84] 6670(31.4%) 602(2.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 57.8% bf* [89] 20.7% ??? [90] 9.3% ...higher-order.rkt:373:33 [91] 3.2% ----------------------------------------------------------------------- ??? [80] 100.0% [85] 4288(20.2%) 2968(14.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 30.8% ----------------------------------------------------------------------- simplify [81] 47.6% simplify-expr [9] 52.4% [86] 424(2.0%) 424(2.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ----------------------------------------------------------------------- simplify [81] 100.0% [87] 240(1.1%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [92] 100.0% ----------------------------------------------------------------------- foldl [83] 100.0% [88] 200(0.9%) 200(0.9%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------- ??? [84] 100.0% [89] 1382(6.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [93] 100.0% ----------------------------------------------------------------------- ->flonum [82] 16.1% ulp-difference [71] 16.4% sample-default [65] 16.6% ??? [84] 50.9% [90] 1218(5.7%) 1218(5.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ??? [84] 47.1% loop [77] 52.9% [91] 454(2.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% ----------------------------------------------------------------------- debug-print [87] 100.0% [92] 240(1.1%) 240(1.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- bf* [89] 26.4% ??? [84] 73.6% [93] 5234(24.7%) 2316(10.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 ??? [97] 38.8% bfhypot [95] 16.9% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [91]100.0% [94] 454(2.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ----------------------------------------------------------------------- ??? [93] 100.0% [95] 886(4.2%) 652(3.1%) bfhypot ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 26.4% ----------------------------------------------------------------------- ??? [80] 47.9% ??? [94] 52.1% [96] 872(4.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% ----------------------------------------------------------------------- ->flonum [82] 7.7% ??? [96] 27.7% ??? [93] 64.6% [97] 3146(14.8%) 1588(7.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 42.7% ??? [100] 6.8% ----------------------------------------------------------------------- bfhypot [95] 15.1% real->bigfloat [85] 84.9% [98] 1554(7.3%) 1554(7.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [97] 100.0% [99] 1344(6.3%) 652(3.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [101] 51.5% ----------------------------------------------------------------------- ??? [97] 100.0% [100] 214(1.0%) 214(1.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ----------------------------------------------------------------------- ??? [99] 100.0% [101] 692(3.3%) 692(3.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------