Profiling results ----------------- Total cpu time observed: 41958ms (out of 42384ms) Number of samples taken: 179 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 97 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [27] 100.0% [1] 40862(97.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ----------------------------------------------------------------------- ??? [27] 100.0% [2] 10912(26.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 90.6% loop [33] 7.4% get-final-combination [9] 2.0% ----------------------------------------------------------------------- loop [81] 2.5% ??? [27] 97.5% [3] 8632(20.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 41.7% for-loop [8] 39.2% iterate-egraph!5 [11] 16.5% loop [12] 2.6% ----------------------------------------------------------------------- loop [81] 100.0% [4] 222(0.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [71] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 99.4% [5] 41094(97.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [27] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 9886(23.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [7] 3598(8.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 93.8% loop [12] 6.2% ----------------------------------------------------------------------- simplify [3] 100.0% [8] 3388(8.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 218(0.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [13] 100.0% ----------------------------------------------------------------------- for-loop [6] 100.0% [10] 9886(23.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 85.1% finalize-iter! [16] 6.3% gen-series! [18] 4.3% localize-error [19] 2.2% choose-best-alt! [20] 2.0% ----------------------------------------------------------------------- simplify [3] 17.4% simplify-expr [7] 41.2% for-loop [8] 41.4% [11] 8188(19.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [15] 100.0% ----------------------------------------------------------------------- simplify [3] 50.0% simplify-expr [7] 50.0% [12] 444(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [17] 100.0% ----------------------------------------------------------------------- get-final-combination [9] 100.0% [13] 218(0.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [81] 100.0% ----------------------------------------------------------------------- run-iter! [10] 100.0% [14] 8414(20.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [21] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [15] 8188(19.5%) 422(1.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [22] 50.5% loop [23] 41.9% apply-match [28] 2.4% ----------------------------------------------------------------------- run-iter! [10] 100.0% [16] 626(1.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ----------------------------------------------------------------------- loop [12] 100.0% [17] 444(1.1%) 222(0.5%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [26] 50.0% ----------------------------------------------------------------------- run-iter! [10] 100.0% [18] 422(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% ----------------------------------------------------------------------- run-iter! [10] 100.0% [19] 222(0.5%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [71] 100.0% ----------------------------------------------------------------------- run-iter! [10] 100.0% [20] 202(0.5%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [24] 100.0% ----------------------------------------------------------------------- simplify! [14] 100.0% [21] 8414(20.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [27] 100.0% ----------------------------------------------------------------------- for-loop [22] 50.0% one-iter [15] 50.0% [22] 4132(9.8%) 844(2.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [22] 50.0% match-e [34] 39.8% ----------------------------------------------------------------------- one-iter [15] 100.0% [23] 3434(8.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [28] 100.0% ----------------------------------------------------------------------- choose-best-alt! [20] 24.4% finalize-iter! [16] 75.6% [24] 828(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [29] 75.6% atab-pick-alt8 [32] 24.4% ----------------------------------------------------------------------- gen-series! [18] 100.0% [25] 422(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% ----------------------------------------------------------------------- pass [17] 100.0% [26] 222(0.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [31] 100.0% ----------------------------------------------------------------------- for-loop [21] 6.9% run [5] 46.2% [27] 41958(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.6% loop [33] 37.6% run-improve58 [2] 9.9% simplify [3] 6.9% ----------------------------------------------------------------------- one-iter [15] 5.5% loop [23] 94.5% [28] 3634(8.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [35] 64.1% update-leader! [41] 18.1% match-e [34] 11.1% loop! [83] 6.7% ----------------------------------------------------------------------- ??? [24] 100.0% [29] 626(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [36] 100.0% ----------------------------------------------------------------------- for-loop [25] 100.0% [30] 422(1.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% ----------------------------------------------------------------------- for-loop [26] 100.0% [31] 222(0.5%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [38] 100.0% ----------------------------------------------------------------------- ??? [24] 100.0% [32] 202(0.5%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [39] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.5% ??? [27] 97.5% [33] 31854(75.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [50] 56.4% loop [40] 41.0% loop [51] 1.9% filter-points [45] 0.7% ----------------------------------------------------------------------- apply-match [28] 8.2% for-loop [53] 14.0% for-loop [22] 77.8% [34] 3692(8.8%) 1982(4.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 40.9% for-loop [53] 5.6% list-cartesian-product [54] 5.5% ----------------------------------------------------------------------- apply-match [28] 100.0% [35] 2330(5.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [41] 81.9% for-loop [46] 9.5% enode-merge! [49] 8.6% ----------------------------------------------------------------------- for-loop [29] 100.0% [36] 626(1.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [43] 100.0% ----------------------------------------------------------------------- taylor-alt [30] 100.0% [37] 422(1.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% ----------------------------------------------------------------------- argmin [31] 100.0% [38] 222(0.5%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [47] 100.0% ----------------------------------------------------------------------- atab-pick-alt8 [32] 100.0% [39] 202(0.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [48] 100.0% ----------------------------------------------------------------------- loop [33] 100.0% [40] 13064(31.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [51] 64.9% make-exacts* [50] 35.1% ----------------------------------------------------------------------- apply-match [28] 25.6% merge-egraph-nodes! [35] 74.4% [41] 2566(6.1%) 400(1.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [52] 84.4% ----------------------------------------------------------------------- match-e [34] 100.0% [42] 1726(4.1%) 616(1.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [53] 36.4% list-cartesian-product [54] 33.8% ----------------------------------------------------------------------- atab-add-altn [36] 100.0% [43] 626(1.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [65] 68.1% for-loop [59] 31.9% ----------------------------------------------------------------------- location-do [44] 31.9% for-loop [37] 68.1% [44] 422(1.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [55] 68.1% location-do [44] 31.9% ----------------------------------------------------------------------- loop [33] 100.0% [45] 232(0.6%) 0(0.0%) filter-points ...tlock/herbie/src/points.rkt:101:0 for-loop [56] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [35] 100.0% [46] 222(0.5%) 222(0.5%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ----------------------------------------------------------------------- expression-cost [38] 100.0% [47] 222(0.5%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [71] 100.0% ----------------------------------------------------------------------- ??? [39] 100.0% [48] 202(0.5%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [57] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [35] 100.0% [49] 200(0.5%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [58] 100.0% ----------------------------------------------------------------------- loop [40] 20.3% loop [33] 79.7% [50] 22534(53.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [81] 51.9% map [79] 47.2% eval-prog [69] 1.0% ----------------------------------------------------------------------- loop [33] 6.6% loop [40] 93.4% [51] 9088(21.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [79] 100.0% ----------------------------------------------------------------------- update-leader! [41] 100.0% [52] 2166(5.2%) 202(0.5%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [60] 90.7% ----------------------------------------------------------------------- match-e [34] 33.3% for-loop [42] 66.7% [53] 1244(3.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 83.3% ??? [62] 16.7% ----------------------------------------------------------------------- match-e [34] 22.8% list-cartesian-product [54] 25.1% for-loop [42] 52.1% [54] 886(2.1%) 886(2.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [54] 25.1% ----------------------------------------------------------------------- location-do [44] 100.0% [55] 422(1.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [61] 100.0% ----------------------------------------------------------------------- filter-points [45] 100.0% [56] 232(0.6%) 232(0.6%) for-loop ...e/ztatlock/herbie/src/points.rkt:104:4 ----------------------------------------------------------------------- best-alt [48] 100.0% [57] 202(0.5%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [63] 100.0% ----------------------------------------------------------------------- enode-merge! [49] 100.0% [58] 200(0.5%) 200(0.5%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 ----------------------------------------------------------------------- best-and-tied-at-points [43] 100.0% [59] 200(0.5%) 200(0.5%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- for-loop [52] 100.0% [60] 1964(4.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [64] 100.0% ----------------------------------------------------------------------- approximate9 [55] 100.0% [61] 422(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [71] 100.0% ----------------------------------------------------------------------- for-loop [53] 100.0% [62] 208(0.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [66] 100.0% ----------------------------------------------------------------------- loop [57] 100.0% [63] 202(0.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [65] 100.0% ----------------------------------------------------------------------- for-loop [60] 100.0% [64] 1964(4.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [67] 100.0% ----------------------------------------------------------------------- composed [63] 32.2% best-and-tied-at-points [43] 67.8% [65] 628(1.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [68] 67.5% eval-prog [69] 32.5% ----------------------------------------------------------------------- ??? [62] 100.0% [66] 208(0.5%) 208(0.5%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------- hash-update! [64] 100.0% [67] 1964(4.7%) 200(0.5%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [70] 89.8% ----------------------------------------------------------------------- errors [65] 100.0% [68] 424(1.0%) 202(0.5%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [72] 52.4% ----------------------------------------------------------------------- errors [65] 48.6% make-exacts* [50] 51.4% [69] 420(1.0%) 204(0.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [71] 51.4% ----------------------------------------------------------------------- ??? [67] 100.0% [70] 1764(4.2%) 1764(4.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- compile [47] 6.8% ??? [4] 10.3% localize-error [19] 10.3% ??? [73] 13.7% eval-prog [69] 20.0% loop [61] 39.0% [71] 1082(2.6%) 222(0.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [76] 20.3% bigfloat-hash [77] 20.0% simplify [78] 18.7% ??? [73] 13.7% parse-loop12 [74] 10.3% f6 [75] 10.3% ----------------------------------------------------------------------- for-loop [68] 100.0% [72] 222(0.5%) 222(0.5%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ----------------------------------------------------------------------- hash-ref! [71] 100.0% [73] 222(0.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [71] 100.0% ----------------------------------------------------------------------- hash-ref! [71] 100.0% [74] 222(0.5%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [81] 100.0% ----------------------------------------------------------------------- hash-ref! [71] 100.0% [75] 222(0.5%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [79] 100.0% ----------------------------------------------------------------------- hash-ref! [71] 100.0% [76] 220(0.5%) 220(0.5%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 ----------------------------------------------------------------------- hash-ref! [71] 100.0% [77] 216(0.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [80] 100.0% ----------------------------------------------------------------------- hash-ref! [71] 100.0% [78] 202(0.5%) 202(0.5%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 ----------------------------------------------------------------------- f6 [75] 1.1% loop [51] 45.6% make-exacts* [50] 53.3% [79] 19940(47.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [81] 99.0% ??? [82] 1.0% ----------------------------------------------------------------------- bigfloat-hash [77] 100.0% [80] 216(0.5%) 216(0.5%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- parse-loop12 [74] 0.0% make-exacts* [50] 0.1% extract-alt [13] 0.7% map [79] 0.7% loop! [83] 0.8% loop [81] 97.7% [81] 31888(76.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [81] 97.7% loop! [83] 0.8% ??? [82] 0.7% simplify [3] 0.7% ??? [4] 0.0% ??? [87] 0.0% ----------------------------------------------------------------------- map [79] 0.6% loop [81] 99.4% [82] 31406(74.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [84] 97.1% real->bigfloat [85] 2.2% ??? [90] 0.6% ----------------------------------------------------------------------- loop [81] 50.0% apply-match [28] 50.0% [83] 242(0.6%) 242(0.6%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [81] 50.0% ----------------------------------------------------------------------- ??? [82] 100.0% [84] 30500(72.7%) 242(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 93.8% ...higher-order.rkt:373:33 [86] 3.0% ----------------------------------------------------------------------- ??? [82] 100.0% [85] 704(1.7%) 466(1.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 33.8% ----------------------------------------------------------------------- ??? [84] 100.0% [86] 922(2.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 73.8% ??? [88] 26.2% ----------------------------------------------------------------------- loop [81] 0.8% ??? [84] 97.6% [87] 29320(69.9%) 25704(61.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [89] 9.9% bfcos [91] 1.6% ??? [92] 0.8% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [86]100.0% [88] 242(0.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [90] 100.0% ----------------------------------------------------------------------- ??? [87] 100.0% [89] 2910(6.9%) 2434(5.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 16.4% ----------------------------------------------------------------------- ??? [82] 18.0% ??? [88] 21.5% ...higher-order.rkt:373:33 [86] 60.5% [90] 1124(2.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [92] 100.0% ----------------------------------------------------------------------- ??? [87] 100.0% [91] 458(1.1%) 216(0.5%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [93] 52.8% ----------------------------------------------------------------------- ??? [87] 18.1% ??? [90] 81.9% [92] 1372(3.3%) 668(1.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [94] 51.3% ----------------------------------------------------------------------- real->bigfloat [85] 24.9% bfcos [91] 25.3% bfmul [89] 49.8% [93] 956(2.3%) 956(2.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [92] 100.0% [94] 704(1.7%) 222(0.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [95] 68.5% ----------------------------------------------------------------------- ??? [94] 100.0% [95] 482(1.1%) 482(1.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------