Profiling results ----------------- Total cpu time observed: 13064ms (out of 13360ms) Number of samples taken: 53 (once every 246ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [31] 100.0% [1] 13064(100.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [31] 100.0% [2] 4000(30.6%) 240(1.8%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 88.3% loop [37] 5.7% ---------------------------------------------------------------------- ??? [31] 100.0% [3] 3128(23.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 53.4% iterate-egraph!5 [16] 39.0% for-loop [12] 7.6% ---------------------------------------------------------------------- hash-ref! [61] 100.0% [4] 1454(11.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [58] 83.5% hash-ref! [61] 16.5% ---------------------------------------------------------------------- match-e [33] 100.0% [5] 400(3.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [11] 100.0% ---------------------------------------------------------------------- location-do [49] 100.0% [6] 202(1.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [14] 100.0% ---------------------------------------------------------------------- hash-ref! [61] 100.0% [7] 202(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 13064(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 3532(27.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [10] 1670(12.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 85.6% loop [17] 14.4% ---------------------------------------------------------------------- match-e [33] 33.6% for-loop [5] 66.4% [11] 602(4.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [33] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [12] 238(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [13] 202(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [61] 100.0% ---------------------------------------------------------------------- approximate9 [6] 100.0% [14] 202(1.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [61] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [15] 3532(27.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 88.6% gen-series! [23] 5.7% finalize-iter! [22] 5.7% ---------------------------------------------------------------------- for-loop [12] 8.2% simplify [3] 42.2% simplify-expr [10] 49.5% [16] 2888(22.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 91.8% map-enodes [21] 8.2% ---------------------------------------------------------------------- simplify-expr [10] 100.0% [17] 240(1.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [20] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [18] 3128(23.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [19] 2650(20.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 40.2% loop [26] 35.5% apply-match [32] 15.2% loop [27] 9.1% ---------------------------------------------------------------------- loop [17] 100.0% [20] 240(1.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [28] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [21] 238(1.8%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [58] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [22] 202(1.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [23] 202(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% ---------------------------------------------------------------------- simplify! [18] 100.0% [24] 3128(23.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% ---------------------------------------------------------------------- for-loop [25] 50.0% one-iter [19] 50.0% [25] 1064(8.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 50.0% match-e [33] 50.0% ---------------------------------------------------------------------- one-iter [19] 100.0% [26] 940(7.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 100.0% ---------------------------------------------------------------------- one-iter [19] 100.0% [27] 242(1.9%) 242(1.9%) loop ...ket/collects/racket/private/list.rkt:264:4 ---------------------------------------------------------------------- pass [20] 100.0% [28] 240(1.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [34] 100.0% ---------------------------------------------------------------------- finalize-iter! [22] 100.0% [29] 202(1.5%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [35] 100.0% ---------------------------------------------------------------------- gen-series! [23] 100.0% [30] 202(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [36] 100.0% ---------------------------------------------------------------------- for-loop [24] 8.0% run [8] 46.0% [31] 13064(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.0% loop [37] 34.7% run-improve58 [2] 11.3% simplify [3] 8.0% ---------------------------------------------------------------------- one-iter [19] 30.1% loop [26] 69.9% [32] 1344(10.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [38] 33.0% loop! [62] 31.0% substitute-e [39] 18.0% mk-enode! [44] 18.0% ---------------------------------------------------------------------- for-loop [11] 28.3% for-loop [25] 71.7% [33] 1064(8.1%) 864(6.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [5] 18.8% for-loop [11] 9.5% loop [58] 9.4% ---------------------------------------------------------------------- for-loop [28] 100.0% [34] 240(1.8%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [40] 100.0% ---------------------------------------------------------------------- ??? [29] 100.0% [35] 202(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [41] 100.0% ---------------------------------------------------------------------- for-loop [30] 100.0% [36] 202(1.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [42] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 2.5% ??? [31] 97.5% [37] 9292(71.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [43] 59.3% make-exacts* [50] 28.0% loop [51] 12.7% ---------------------------------------------------------------------- merge-egraph-nodes! [38] 27.3% apply-match [32] 72.7% [38] 444(3.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [47] 45.5% merge-egraph-nodes! [38] 27.3% update-leader! [45] 27.3% ---------------------------------------------------------------------- apply-match [32] 100.0% [39] 242(1.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [44] 100.0% ---------------------------------------------------------------------- argmin [34] 100.0% [40] 240(1.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [46] 100.0% ---------------------------------------------------------------------- for-loop [35] 100.0% [41] 202(1.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [48] 100.0% ---------------------------------------------------------------------- taylor-alt [36] 100.0% [42] 202(1.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% ---------------------------------------------------------------------- loop [37] 100.0% [43] 5508(42.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [51] 46.0% make-exacts* [50] 45.8% eval-prog [55] 8.3% ---------------------------------------------------------------------- apply-match [32] 50.0% substitute-e [39] 50.0% [44] 484(3.7%) 484(3.7%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [45] 242(1.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [52] 100.0% ---------------------------------------------------------------------- expression-cost [40] 100.0% [46] 240(1.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [61] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [47] 202(1.5%) 202(1.5%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ---------------------------------------------------------------------- atab-add-altn [41] 100.0% [48] 202(1.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [53] 100.0% ---------------------------------------------------------------------- for-loop [42] 33.3% location-do [49] 66.7% [49] 202(1.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [49] 66.7% approximate9 [6] 33.3% ---------------------------------------------------------------------- loop [43] 49.2% loop [37] 50.8% [50] 5122(39.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [58] 40.8% map [54] 40.0% eval-prog [55] 19.3% ---------------------------------------------------------------------- loop [37] 31.8% loop [43] 68.2% [51] 3714(28.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [54] 100.0% ---------------------------------------------------------------------- update-leader! [45] 100.0% [52] 242(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [56] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [48] 100.0% [53] 202(1.5%) 0(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [57] 100.0% ---------------------------------------------------------------------- make-exacts* [50] 35.5% loop [51] 64.5% [54] 5762(44.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [58] 100.0% ---------------------------------------------------------------------- loop [43] 31.6% make-exacts* [50] 68.4% [55] 1442(11.0%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [61] 84.2% inductor [84] 15.8% ---------------------------------------------------------------------- for-loop [52] 100.0% [56] 242(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [59] 100.0% ---------------------------------------------------------------------- for-loop [53] 100.0% [57] 202(1.5%) 202(1.5%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ---------------------------------------------------------------------- make-exacts* [50] 0.3% map-enodes [21] 1.2% match-e [33] 2.0% loop! [62] 2.4% map [54] 2.7% ??? [4] 12.2% loop [58] 79.0% [58] 9918(75.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [58] 79.0% hash-ref! [61] 12.2% ??? [60] 3.1% loop! [62] 2.4% foldl [65] 2.0% for-loop [64] 1.2% ---------------------------------------------------------------------- for-loop [56] 100.0% [59] 242(1.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [63] 100.0% ---------------------------------------------------------------------- loop [58] 100.0% [60] 7850(60.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [66] 79.2% real->bigfloat [67] 17.7% ??? [86] 3.1% ---------------------------------------------------------------------- compile [46] 3.6% for-loop [13] 4.1% ??? [73] 4.1% loop [14] 4.1% ??? [4] 10.9% eval-prog [55] 23.2% loop [58] 50.1% [61] 1656(12.7%) 240(1.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 61.0% bigfloat-hash [68] 23.2% ??? [73] 4.1% ??? [7] 4.1% simplify [72] 4.1% ---------------------------------------------------------------------- loop [58] 50.0% apply-match [32] 50.0% [62] 416(3.2%) 214(1.6%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [58] 50.0% set [71] 24.3% ---------------------------------------------------------------------- hash-update! [59] 100.0% [63] 242(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [69] 100.0% ---------------------------------------------------------------------- loop [58] 100.0% [64] 238(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [70] 100.0% ---------------------------------------------------------------------- loop [58] 100.0% [65] 200(1.5%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [74] 100.0% ---------------------------------------------------------------------- ??? [60] 100.0% [66] 6218(47.6%) 246(1.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [82] 58.7% bf* [75] 18.3% ...higher-order.rkt:373:33 [77] 15.0% ...higher-order.rkt:369:33 [78] 4.1% ---------------------------------------------------------------------- ??? [60] 100.0% [67] 1388(10.6%) 948(7.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [89] 31.7% ---------------------------------------------------------------------- hash-ref! [61] 100.0% [68] 1214(9.3%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [76] 80.1% bfcanonicalize [79] 19.9% ---------------------------------------------------------------------- ??? [63] 100.0% [69] 242(1.9%) 242(1.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- for-loop [64] 100.0% [70] 238(1.8%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [80] 100.0% ---------------------------------------------------------------------- loop! [62] 100.0% [71] 202(1.5%) 202(1.5%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- hash-ref! [61] 100.0% [72] 202(1.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [81] 100.0% ---------------------------------------------------------------------- hash-ref! [61] 100.0% [73] 202(1.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [61] 100.0% ---------------------------------------------------------------------- foldl [65] 100.0% [74] 200(1.5%) 200(1.5%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- ??? [66] 100.0% [75] 1136(8.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [82] 100.0% ---------------------------------------------------------------------- bigfloat-hash [68] 100.0% [76] 972(7.4%) 228(1.7%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [89] 76.5% ---------------------------------------------------------------------- ??? [66] 100.0% [77] 934(7.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [83] 100.0% ---------------------------------------------------------------------- ??? [66] 100.0% [78] 254(1.9%) 254(1.9%) ...higher-order.rkt:369:33 (unknown source) ---------------------------------------------------------------------- bigfloat-hash [68] 100.0% [79] 242(1.9%) 242(1.9%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- eval-const-expr [70] 100.0% [80] 238(1.8%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [84] 100.0% ---------------------------------------------------------------------- simplify [72] 100.0% [81] 202(1.5%) 202(1.5%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 ---------------------------------------------------------------------- bf* [75] 23.7% ??? [66] 76.3% [82] 4784(36.6%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [85] 62.4% ??? [90] 19.6% bfsqr [87] 18.1% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [77]100.0% [83] 934(7.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [86] 100.0% ---------------------------------------------------------------------- eval-prog [55] 9.8% expression-induct31 [80] 25.5% inductor [84] 64.7% [84] 466(3.6%) 228(1.7%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [84] 64.7% loop [88] 25.5% ---------------------------------------------------------------------- ??? [82] 100.0% [85] 2984(22.8%) 1840(14.1%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [89] 38.3% ---------------------------------------------------------------------- ??? [60] 20.7% ??? [83] 79.3% [86] 1178(9.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [90] 100.0% ---------------------------------------------------------------------- ??? [82] 100.0% [87] 864(6.6%) 620(4.7%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [89] 28.2% ---------------------------------------------------------------------- inductor [84] 100.0% [88] 238(1.8%) 238(1.8%) loop ...h-lib/math/private/bigfloat/mpfr.rkt:435:9 ---------------------------------------------------------------------- bfsqr [87] 9.5% real->bigfloat [67] 17.1% sig+exp->bigfloat [76] 28.9% bfmul [85] 44.5% [89] 2572(19.7%) 2572(19.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [82] 44.3% ??? [86] 55.7% [90] 2114(16.2%) 938(7.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [91] 55.6% ---------------------------------------------------------------------- ??? [90] 100.0% [91] 1176(9.0%) 688(5.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [92] 41.5% ---------------------------------------------------------------------- ??? [91] 100.0% [92] 488(3.7%) 488(3.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------