Profiling results ----------------- Total cpu time observed: 22526ms (out of 22716ms) Number of samples taken: 104 (once every 217ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 104 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [21] 100.0% [1] 20684(91.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ----------------------------------------------------------------------- ??? [21] 100.0% [2] 16494(73.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 97.5% get-final-combination [6] 1.5% setup-prog [8] 1.1% ----------------------------------------------------------------------- location-do [34] 100.0% [3] 242(1.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [7] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 98.9% [4] 20912(92.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [21] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 16076(71.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 242(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [10] 100.0% ----------------------------------------------------------------------- approximate9 [3] 100.0% [7] 242(1.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [63] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 176(0.8%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [11] 100.0% ----------------------------------------------------------------------- for-loop [5] 100.0% [9] 16076(71.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 95.9% finalize-iter! [14] 2.6% gen-series! [15] 1.5% ----------------------------------------------------------------------- get-final-combination [6] 100.0% [10] 242(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [51] 100.0% ----------------------------------------------------------------------- setup-prog [8] 100.0% [11] 176(0.8%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [12] 100.0% ----------------------------------------------------------------------- simplify-alt [11] 1.1% loop [51] 1.5% ??? [21] 97.4% [12] 15828(70.3%) 304(1.3%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 56.7% for-loop [18] 24.6% iterate-egraph!5 [22] 16.8% ----------------------------------------------------------------------- run-iter! [9] 100.0% [13] 15410(68.4%) 202(0.9%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [16] 98.7% ----------------------------------------------------------------------- run-iter! [9] 100.0% [14] 424(1.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [19] 100.0% ----------------------------------------------------------------------- run-iter! [9] 100.0% [15] 242(1.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [20] 100.0% ----------------------------------------------------------------------- simplify! [13] 98.7% [16] 15410(68.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [21] 100.0% ----------------------------------------------------------------------- simplify [12] 100.0% [17] 8974(39.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [22] 97.9% loop [25] 2.1% ----------------------------------------------------------------------- simplify [12] 100.0% [18] 3892(17.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [22] 100.0% ----------------------------------------------------------------------- finalize-iter! [14] 100.0% [19] 424(1.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [23] 100.0% ----------------------------------------------------------------------- gen-series! [15] 100.0% [20] 242(1.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [24] 100.0% ----------------------------------------------------------------------- for-loop [16] 24.4% run [4] 36.7% [21] 22526(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 35.7% run-improve58 [2] 26.4% simplify [12] 24.4% loop [27] 13.4% ----------------------------------------------------------------------- simplify [12] 17.3% for-loop [18] 25.4% simplify-expr [17] 57.3% [22] 15336(68.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [26] 98.6% ----------------------------------------------------------------------- ??? [19] 100.0% [23] 424(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [28] 100.0% ----------------------------------------------------------------------- for-loop [20] 100.0% [24] 242(1.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [29] 100.0% ----------------------------------------------------------------------- simplify-expr [17] 100.0% [25] 188(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [30] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [26] 15116(67.1%) 642(2.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [31] 49.6% for-loop [32] 39.5% apply-match [39] 5.3% ----------------------------------------------------------------------- ??? [21] 100.0% [27] 5830(25.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [40] 53.9% loop [33] 42.2% filter-points [35] 3.9% ----------------------------------------------------------------------- for-loop [23] 100.0% [28] 424(1.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 loop [36] 52.4% best-and-tied-at-points [37] 47.6% ----------------------------------------------------------------------- taylor-alt [24] 100.0% [29] 242(1.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [34] 100.0% ----------------------------------------------------------------------- loop [25] 100.0% [30] 188(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [38] 100.0% ----------------------------------------------------------------------- one-iter [26] 100.0% [31] 7504(33.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [39] 100.0% ----------------------------------------------------------------------- for-loop [32] 50.0% one-iter [26] 50.0% [32] 5972(26.5%) 1058(4.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 50.0% match-e [45] 41.1% ----------------------------------------------------------------------- loop [27] 100.0% [33] 2462(10.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [41] 62.6% make-exacts* [40] 37.4% ----------------------------------------------------------------------- for-loop [29] 25.0% location-do [34] 75.0% [34] 242(1.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [34] 75.0% approximate9 [3] 25.0% ----------------------------------------------------------------------- loop [27] 100.0% [35] 228(1.0%) 0(0.0%) filter-points ...tlock/herbie/src/points.rkt:101:0 for-loop [42] 100.0% ----------------------------------------------------------------------- atab-add-altn [28] 100.0% [36] 222(1.0%) 222(1.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 ----------------------------------------------------------------------- atab-add-altn [28] 100.0% [37] 202(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [43] 100.0% ----------------------------------------------------------------------- pass [30] 100.0% [38] 188(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [44] 100.0% ----------------------------------------------------------------------- one-iter [26] 9.6% loop [31] 90.4% [39] 8302(36.9%) 200(0.9%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [53] 29.5% for-loop [47] 26.4% substitute-e [54] 11.9% loop! [71] 10.0% match-e [45] 9.7% mk-enode! [59] 4.9% update-leader! [60] 2.9% reduce-to-single! [49] 2.4% ----------------------------------------------------------------------- loop [33] 22.7% loop [27] 77.3% [40] 4062(18.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [51] 50.8% map [46] 49.2% ----------------------------------------------------------------------- loop [33] 100.0% [41] 1540(6.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [46] 100.0% ----------------------------------------------------------------------- filter-points [35] 100.0% [42] 228(1.0%) 228(1.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:104:4 ----------------------------------------------------------------------- best-and-tied-at-points [37] 100.0% [43] 202(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [48] 100.0% ----------------------------------------------------------------------- for-loop [38] 100.0% [44] 188(0.8%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [50] 100.0% ----------------------------------------------------------------------- apply-match [39] 7.0% for-loop [58] 17.8% for-loop [32] 75.2% [45] 5718(25.4%) 2564(11.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [52] 43.9% for-loop [58] 7.3% loop [51] 5.6% list-cartesian-product [62] 5.5% ----------------------------------------------------------------------- loop [41] 43.5% make-exacts* [40] 56.5% [46] 3540(15.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [51] 100.0% ----------------------------------------------------------------------- apply-match [39] 100.0% [47] 2190(9.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 substitute-e [54] 35.0% loop! [71] 28.2% merge-egraph-nodes! [53] 27.6% mk-enode! [59] 9.2% ----------------------------------------------------------------------- errors [43] 100.0% [48] 202(0.9%) 202(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- apply-match [39] 100.0% [49] 200(0.9%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [55] 100.0% ----------------------------------------------------------------------- argmin [44] 100.0% [50] 188(0.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [56] 100.0% ----------------------------------------------------------------------- ??? [57] 0.0% make-exacts* [40] 0.0% map [46] 0.2% extract-alt [10] 3.2% match-e [45] 5.5% loop! [71] 7.2% loop [51] 83.7% [51] 7532(33.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [51] 83.7% loop! [71] 7.2% simplify [12] 3.2% foldl [67] 2.9% curried [69] 2.7% ??? [57] 0.2% for-loop [66] 0.1% ->flonum [64] 0.0% real->bigfloat [70] 0.0% ----------------------------------------------------------------------- match-e [45] 100.0% [52] 3056(13.6%) 1288(5.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [58] 57.8% list-cartesian-product [62] 3.3% ----------------------------------------------------------------------- for-loop [47] 19.8% apply-match [39] 80.2% [53] 3052(13.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [60] 53.3% for-loop [61] 32.8% for-loop [65] 7.3% enode-merge! [68] 6.6% ----------------------------------------------------------------------- substitute-e [54] 5.3% for-loop [47] 43.7% apply-match [39] 51.0% [54] 1752(7.8%) 380(1.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [59] 78.3% substitute-e [54] 5.3% ----------------------------------------------------------------------- reduce-to-single! [49] 100.0% [55] 200(0.9%) 200(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ----------------------------------------------------------------------- expression-cost [50] 100.0% [56] 188(0.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [63] 100.0% ----------------------------------------------------------------------- loop [51] 100.0% [57] 5364(23.8%) 516(2.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [70] 46.5% ??? [73] 29.4% ??? [98] 9.4% loop [51] 5.0% ----------------------------------------------------------------------- match-e [45] 17.6% for-loop [52] 82.4% [58] 2388(10.6%) 604(2.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 74.0% ??? [74] 9.2% ----------------------------------------------------------------------- for-loop [47] 10.2% apply-match [39] 20.4% substitute-e [54] 69.4% [59] 1978(8.8%) 1600(7.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 mutable-set [77] 10.2% hash-has-key? [81] 8.9% ----------------------------------------------------------------------- apply-match [39] 13.0% merge-egraph-nodes! [53] 87.0% [60] 1868(8.3%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [72] 89.2% custom-set-union! [78] 10.8% ----------------------------------------------------------------------- merge-egraph-nodes! [53] 100.0% [61] 1002(4.4%) 602(2.7%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [84] 39.9% ----------------------------------------------------------------------- for-loop [52] 16.2% list-cartesian-product [62] 33.8% match-e [45] 50.0% [62] 624(2.8%) 624(2.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [62] 33.8% ----------------------------------------------------------------------- compile [56] 14.6% ??? [80] 29.1% loop [7] 56.3% [63] 430(1.9%) 430(1.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [80] 29.1% ----------------------------------------------------------------------- loop [51] 100.0% [64] 238(1.1%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [101] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [53] 100.0% [65] 222(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [71] 100.0% ----------------------------------------------------------------------- loop [51] 100.0% [66] 220(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [75] 100.0% ----------------------------------------------------------------------- loop [51] 100.0% [67] 218(1.0%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [76] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [53] 100.0% [68] 202(0.9%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [79] 100.0% ----------------------------------------------------------------------- loop [51] 100.0% [69] 200(0.9%) 200(0.9%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------- loop [51] 9.7% ??? [57] 90.3% [70] 2764(12.3%) 2252(10.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [86] 18.5% ----------------------------------------------------------------------- for-loop [65] 6.7% for-loop [47] 30.4% loop [51] 31.5% apply-match [39] 31.5% [71] 1668(7.4%) 222(1.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [83] 36.5% loop [51] 31.5% update-en-expr [84] 12.1% set [88] 6.7% ----------------------------------------------------------------------- update-leader! [60] 100.0% [72] 1666(7.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [82] 100.0% ----------------------------------------------------------------------- ??? [57] 100.0% [73] 1578(7.0%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 49.7% bf* [85] 33.5% ...higher-order.rkt:373:33 [87] 16.9% ----------------------------------------------------------------------- for-loop [58] 100.0% [74] 220(1.0%) 220(1.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ----------------------------------------------------------------------- for-loop [66] 100.0% [75] 220(1.0%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [89] 100.0% ----------------------------------------------------------------------- foldl [67] 100.0% [76] 218(1.0%) 218(1.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------- mk-enode! [59] 100.0% [77] 202(0.9%) 202(0.9%) mutable-set ...racket/private/set-types.rkt:1000:0 ----------------------------------------------------------------------- update-leader! [60] 100.0% [78] 202(0.9%) 0(0.0%) custom-set-union! ...t/private/set-types.rkt:246:0 for-loop [90] 100.0% ----------------------------------------------------------------------- enode-merge! [68] 100.0% [79] 202(0.9%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [83] 100.0% ----------------------------------------------------------------------- hash-ref! [63] 100.0% [80] 188(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [63] 100.0% ----------------------------------------------------------------------- mk-enode! [59] 100.0% [81] 176(0.8%) 176(0.8%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ----------------------------------------------------------------------- for-loop [72] 100.0% [82] 1666(7.4%) 202(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [91] 87.9% ----------------------------------------------------------------------- adopt-enode! [79] 19.8% loop! [71] 80.2% [83] 1022(4.5%) 404(1.8%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [93] 38.7% for-loop [95] 21.7% ----------------------------------------------------------------------- for-loop [61] 49.8% loop! [71] 50.2% [84] 804(3.6%) 804(3.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- ??? [73] 100.0% [85] 528(2.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ----------------------------------------------------------------------- real->bigfloat [70] 100.0% [86] 512(2.3%) 512(2.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [73] 100.0% [87] 266(1.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% ----------------------------------------------------------------------- loop! [71] 100.0% [88] 222(1.0%) 222(1.0%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- setfindf [75] 100.0% [89] 220(1.0%) 220(1.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ----------------------------------------------------------------------- custom-set-union! [78] 100.0% [90] 202(0.9%) 202(0.9%) for-loop ...cts/racket/private/set-types.rkt:254:4 ----------------------------------------------------------------------- for-loop [82] 100.0% [91] 1464(6.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [96] 100.0% ----------------------------------------------------------------------- bf* [85] 40.2% ??? [73] 59.8% [92] 1312(5.8%) 268(1.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [97] 79.6% ----------------------------------------------------------------------- custom-set-union [83] 100.0% [93] 396(1.8%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [99] 100.0% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [87]100.0% [94] 266(1.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [98] 100.0% ----------------------------------------------------------------------- custom-set-union [83] 100.0% [95] 222(1.0%) 222(1.0%) for-loop ...cts/racket/private/set-types.rkt:152:2 ----------------------------------------------------------------------- hash-update! [91] 100.0% [96] 1464(6.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [100] 100.0% ----------------------------------------------------------------------- ??? [92] 100.0% [97] 1044(4.6%) 1044(4.6%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ----------------------------------------------------------------------- ??? [94] 34.5% ??? [57] 65.5% [98] 772(3.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [101] 100.0% ----------------------------------------------------------------------- for-loop [93] 100.0% [99] 396(1.8%) 396(1.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- ??? [96] 100.0% [100] 1464(6.5%) 1464(6.5%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- ->flonum [64] 23.6% ??? [98] 76.4% [101] 1010(4.5%) 744(3.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [102] 26.3% ----------------------------------------------------------------------- ??? [101] 100.0% [102] 266(1.2%) 266(1.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 -----------------------------------------------------------------------