Profiling results ----------------- Total cpu time observed: 17482ms (out of 17916ms) Number of samples taken: 73 (once every 239ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 102 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [35] 100.0% [1] 17050(97.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ------------------------------------------------------------------------ ??? [35] 100.0% [2] 8754(50.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [9] 57.0% for-loop [11] 40.7% get-final-combination [14] 2.3% ------------------------------------------------------------------------ loop [64] 100.0% [3] 2718(15.5%) 200(1.1%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 92.6% ------------------------------------------------------------------------ loop [64] 8.7% ??? [35] 91.3% [4] 2308(13.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 64.2% iterate-egraph!5 [16] 26.2% for-loop [12] 9.6% ------------------------------------------------------------------------ loop [64] 100.0% [5] 422(2.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [65] 73.2% map [60] 26.8% ------------------------------------------------------------------------ hash-ref! [65] 100.0% [6] 400(2.3%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [67] 100.0% ------------------------------------------------------------------------ hash-ref! [65] 100.0% [7] 202(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [13] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 98.7% [8] 17280(98.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [35] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [9] 4990(28.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% ------------------------------------------------------------------------ simplify [4] 37.0% completely-simplify-alt [3] 63.0% [10] 4000(22.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 89.5% loop [18] 10.5% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [11] 3564(20.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% ------------------------------------------------------------------------ simplify [4] 100.0% [12] 222(1.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ------------------------------------------------------------------------ ??? [7] 100.0% [13] 202(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [65] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [14] 200(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [19] 100.0% ------------------------------------------------------------------------ finalize-table! [9] 100.0% [15] 4990(28.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [64] 63.4% for-loop [23] 20.5% ??? [29] 16.1% ------------------------------------------------------------------------ for-loop [12] 5.0% simplify [4] 13.7% simplify-expr [10] 81.3% [16] 4406(25.2%) 326(1.9%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 92.6% ------------------------------------------------------------------------ for-loop [11] 100.0% [17] 3564(20.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 59.1% finalize-iter! [22] 29.7% gen-series! [26] 5.7% localize-error [24] 5.5% ------------------------------------------------------------------------ simplify-expr [10] 100.0% [18] 420(2.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [25] 100.0% ------------------------------------------------------------------------ get-final-combination [14] 100.0% [19] 200(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [64] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [16] 100.0% [20] 4080(23.3%) 420(2.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [27] 68.6% loop [31] 15.7% loop [33] 5.4% ------------------------------------------------------------------------ run-iter! [17] 100.0% [21] 2108(12.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% ------------------------------------------------------------------------ run-iter! [17] 100.0% [22] 1058(6.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ------------------------------------------------------------------------ post-process [15] 100.0% [23] 1022(5.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [30] 100.0% ------------------------------------------------------------------------ run-iter! [17] 30.5% loop [64] 69.5% [24] 642(3.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [65] 100.0% ------------------------------------------------------------------------ loop [18] 100.0% [25] 420(2.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [32] 100.0% ------------------------------------------------------------------------ run-iter! [17] 100.0% [26] 202(1.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [34] 100.0% ------------------------------------------------------------------------ for-loop [27] 46.4% one-iter [20] 53.6% [27] 2798(16.0%) 1350(7.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [27] 46.4% match-e [37] 25.9% ------------------------------------------------------------------------ simplify! [21] 100.0% [28] 2108(12.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [35] 100.0% ------------------------------------------------------------------------ post-process [15] 43.2% finalize-iter! [22] 56.8% [29] 1862(10.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 100.0% ------------------------------------------------------------------------ f66 [74] 16.5% for-loop [23] 83.5% [30] 1224(7.0%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [38] 83.5% f66 [74] 12.4% free-variables [41] 4.1% ------------------------------------------------------------------------ one-iter [20] 100.0% [31] 640(3.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [39] 100.0% ------------------------------------------------------------------------ pass [25] 100.0% [32] 420(2.4%) 202(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [40] 51.9% ------------------------------------------------------------------------ one-iter [20] 100.0% [33] 222(1.3%) 222(1.3%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------------ gen-series! [26] 100.0% [34] 202(1.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [38] 100.0% ------------------------------------------------------------------------ for-loop [28] 4.0% run [8] 48.1% [35] 17482(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.8% loop [42] 25.6% run-improve58 [2] 23.6% simplify [4] 4.0% ------------------------------------------------------------------------ ??? [29] 100.0% [36] 1862(10.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [43] 100.0% ------------------------------------------------------------------------ for-loop [27] 100.0% [37] 1448(8.3%) 1246(7.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [46] 14.0% ------------------------------------------------------------------------ for-loop [34] 16.5% append-map [30] 83.5% [38] 1224(7.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [44] 100.0% ------------------------------------------------------------------------ loop [31] 100.0% [39] 640(3.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [69] 69.1% mk-enode! [48] 30.9% ------------------------------------------------------------------------ for-loop [32] 100.0% [40] 218(1.2%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [45] 100.0% ------------------------------------------------------------------------ append-map [30] 100.0% [41] 202(1.2%) 0(0.0%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [47] 100.0% ------------------------------------------------------------------------ ??? [35] 100.0% [42] 8728(49.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [54] 59.2% loop [49] 38.2% for-loop [52] 2.6% ------------------------------------------------------------------------ for-loop [36] 100.0% [43] 1862(10.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [50] 100.0% ------------------------------------------------------------------------ taylor-alt [38] 100.0% [44] 1224(7.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [51] 100.0% ------------------------------------------------------------------------ argmin [40] 100.0% [45] 218(1.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [53] 100.0% ------------------------------------------------------------------------ match-e [37] 100.0% [46] 202(1.2%) 202(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 ------------------------------------------------------------------------ free-variables [41] 100.0% [47] 202(1.2%) 202(1.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------ apply-match [39] 100.0% [48] 198(1.1%) 198(1.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------ loop [42] 100.0% [49] 3334(19.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [55] 65.6% make-exacts* [54] 34.4% ------------------------------------------------------------------------ atab-add-altn [43] 100.0% [50] 1862(10.7%) 202(1.2%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [56] 77.3% for-loop [59] 11.8% ------------------------------------------------------------------------ location-do [51] 19.1% for-loop [44] 80.9% [51] 1224(7.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [57] 80.9% location-do [51] 19.1% ------------------------------------------------------------------------ loop [42] 100.0% [52] 230(1.3%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [58] 100.0% ------------------------------------------------------------------------ expression-cost [45] 100.0% [53] 218(1.2%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [65] 100.0% ------------------------------------------------------------------------ loop [49] 18.2% loop [42] 81.8% [54] 6312(36.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [64] 56.7% map [60] 43.3% ------------------------------------------------------------------------ loop [49] 100.0% [55] 2186(12.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [60] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [50] 100.0% [56] 1440(8.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [61] 71.1% eval-prog [63] 28.9% ------------------------------------------------------------------------ location-do [51] 100.0% [57] 1224(7.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 67.3% f66 [74] 32.7% ------------------------------------------------------------------------ for-loop [52] 100.0% [58] 230(1.3%) 230(1.3%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 ------------------------------------------------------------------------ best-and-tied-at-points [50] 100.0% [59] 220(1.3%) 220(1.3%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------ f66 [74] 3.8% ??? [5] 4.2% loop [55] 40.9% make-exacts* [54] 51.1% [60] 5348(30.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [64] 92.0% ->flonum [75] 4.2% f66 [74] 3.8% ------------------------------------------------------------------------ errors [56] 100.0% [61] 1024(5.9%) 200(1.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [66] 80.5% ------------------------------------------------------------------------ approximate9 [57] 100.0% [62] 824(4.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [65] 100.0% ------------------------------------------------------------------------ errors [56] 100.0% [63] 416(2.4%) 416(2.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ loop! [69] 0.0% ??? [66] 0.0% make-exacts* [54] 0.0% extract-alt [19] 0.3% parse-loop12 [73] 1.7% taylor [70] 1.8% post-process [15] 1.9% map [60] 2.7% f66 [74] 3.2% loop [64] 88.4% [64] 12680(72.5%) 256(1.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [64] 88.4% simplify [67] 4.9% ??? [66] 2.8% completely-simplify-alt [3] 1.8% ??? [5] 0.9% bffma [80] 0.8% simplify [4] 0.3% localize-error [24] 0.1% loop! [69] 0.0% real->bigfloat [72] 0.0% ...higher-order.rkt:373:33 [82] 0.0% ------------------------------------------------------------------------ for-loop [13] 2.0% ??? [5] 12.5% compile [53] 12.9% loop [62] 18.5% localize-error [24] 25.6% ??? [68] 26.4% [65] 1684(9.6%) 218(1.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [73] 38.1% ??? [68] 26.4% taylor-quotient [6] 9.9% taylor [70] 6.6% ??? [7] 2.0% simplify [67] 2.0% ------------------------------------------------------------------------ for-loop [61] 8.8% loop [64] 91.2% [66] 9322(53.3%) 252(1.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [71] 51.3% real->bigfloat [72] 20.9% loop [64] 16.0% ??? [96] 6.8% ->flonum [75] 2.4% ------------------------------------------------------------------------ hash-ref! [65] 16.5% taylor-quotient [6] 32.7% loop [64] 50.8% [67] 1224(7.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [76] 34.5% f66 [74] 32.8% debug-print [79] 16.3% parse-loop12 [73] 16.3% ------------------------------------------------------------------------ hash-ref! [65] 100.0% [68] 824(4.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [65] 100.0% ------------------------------------------------------------------------ loop [64] 22.6% apply-match [39] 77.4% [69] 442(2.5%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [77] 54.8% loop [64] 22.6% set [78] 22.6% ------------------------------------------------------------------------ hash-ref! [65] 100.0% [70] 222(1.3%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [64] 100.0% ------------------------------------------------------------------------ ??? [66] 100.0% [71] 4780(27.3%) 400(2.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bffma [80] 38.2% ??? [92] 28.9% bf* [89] 11.1% ??? [81] 8.4% ...higher-order.rkt:373:33 [82] 5.1% ------------------------------------------------------------------------ loop [64] 38.9% ??? [66] 61.1% [72] 3182(18.2%) 3182(18.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ------------------------------------------------------------------------ simplify [67] 23.8% hash-ref! [65] 76.2% [73] 842(4.8%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [64] 76.2% make-multiplication-node [88] 23.8% ------------------------------------------------------------------------ composed [85] 4.2% map [60] 4.2% f66 [74] 12.5% append-map [30] 12.6% simplify [67] 29.1% approximate9 [57] 37.4% [74] 802(4.6%) 0(0.0%) f66 ...t/collects/racket/match/compiler.rkt:499:40 loop [64] 37.4% gather-multiplicative-terms [86] 24.9% append-map [30] 16.8% f66 [74] 12.5% map [60] 4.2% composed [85] 4.2% ------------------------------------------------------------------------ ??? [66] 49.6% map [60] 50.4% [75] 448(2.6%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [83] 50.4% ??? [81] 49.6% ------------------------------------------------------------------------ simplify [67] 100.0% [76] 422(2.4%) 200(1.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [84] 52.6% ------------------------------------------------------------------------ loop! [69] 100.0% [77] 242(1.4%) 242(1.4%) custom-set-union ...et/private/set-types.rkt:168:0 ------------------------------------------------------------------------ loop! [69] 100.0% [78] 200(1.1%) 200(1.1%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ simplify [67] 100.0% [79] 200(1.1%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [87] 100.0% ------------------------------------------------------------------------ loop [64] 9.7% ??? [71] 90.3% [80] 2022(11.6%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [89] 86.7% ...ow-val-first.rkt:357:18 [90] 13.3% ------------------------------------------------------------------------ ->flonum [75] 35.6% ??? [71] 64.4% [81] 624(3.6%) 624(3.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ loop [64] 47.6% ??? [71] 52.4% [82] 462(2.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% ------------------------------------------------------------------------ ->flonum [75] 100.0% [83] 226(1.3%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [99] 100.0% ------------------------------------------------------------------------ debug7 [76] 100.0% [84] 222(1.3%) 222(1.3%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ------------------------------------------------------------------------ f66 [74] 100.0% [85] 202(1.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f66 [74] 100.0% ------------------------------------------------------------------------ f66 [74] 100.0% [86] 200(1.1%) 200(1.1%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ------------------------------------------------------------------------ debug-print [79] 100.0% [87] 200(1.1%) 200(1.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------ parse-loop12 [73] 100.0% [88] 200(1.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [91]100.0% ------------------------------------------------------------------------ ??? [71] 23.2% bffma [80] 76.8% [89] 2284(13.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ------------------------------------------------------------------------ bffma [80] 100.0% [90] 268(1.5%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [93] 100.0% ------------------------------------------------------------------------ make-multiplication-node [88] 100.0% [91] 200(1.1%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [94] 100.0% ------------------------------------------------------------------------ ??? [71] 37.7% bf* [89] 62.3% [92] 3664(21.0%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [95] 93.1% ??? [98] 6.9% ------------------------------------------------------------------------ ...ow-val-first.rkt:357:18 [90] 36.7% ...higher-order.rkt:373:33 [82] 63.3% [93] 730(4.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ------------------------------------------------------------------------ make-multiplication-subnode [91]100.0% [94] 200(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 partition [97] 100.0% ------------------------------------------------------------------------ ??? [92] 100.0% [95] 3410(19.5%) 2420(13.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 29.0% ------------------------------------------------------------------------ ??? [66] 46.3% ??? [93] 53.7% [96] 1360(7.8%) 268(1.5%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 80.3% ------------------------------------------------------------------------ for-loop [94] 100.0% [97] 200(1.1%) 200(1.1%) partition ...racket/collects/racket/list.rkt:547:0 ------------------------------------------------------------------------ ??? [92] 18.9% ??? [96] 81.1% [98] 1346(7.7%) 192(1.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [100] 85.7% ------------------------------------------------------------------------ ??? [83] 18.6% bfmul [95] 81.4% [99] 1216(7.0%) 1216(7.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [98] 100.0% [100] 1154(6.6%) 212(1.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [101] 81.6% ------------------------------------------------------------------------ ??? [100] 100.0% [101] 942(5.4%) 942(5.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------