Profiling results ----------------- Total cpu time observed: 28324ms (out of 28808ms) Number of samples taken: 121 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 94 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [40] 100.0% [1] 27730(97.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ---------------------------------------------------------------------- ??? [40] 100.0% [2] 7000(24.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 85.1% loop [45] 12.1% get-final-combination [14] 2.8% ---------------------------------------------------------------------- loop [68] 3.8% ??? [40] 96.2% [3] 5188(18.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [20] 45.0% simplify-expr [11] 34.9% for-loop [12] 12.1% loop [13] 7.9% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [4] 1718(6.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [68] 76.0% hash-ref! [73] 24.0% ---------------------------------------------------------------------- location-do [55] 100.0% [5] 378(1.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [15] 51.9% taylor-sqrt [18] 48.1% ---------------------------------------------------------------------- loop [68] 50.0% map [64] 50.0% [6] 202(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [73] 50.0% map [64] 50.0% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [7] 196(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [17] 100.0% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [8] 196(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [16] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 27730(97.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [40] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 5956(21.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [11] 1810(6.4%) 198(0.7%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [20] 89.1% ---------------------------------------------------------------------- simplify [3] 100.0% [12] 630(2.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [20] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [13] 412(1.5%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 198(0.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [23] 100.0% ---------------------------------------------------------------------- approximate9 [5] 100.0% [15] 196(0.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [73] 100.0% ---------------------------------------------------------------------- ??? [8] 100.0% [16] 196(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop427 [24] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [17] 196(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [73] 100.0% ---------------------------------------------------------------------- approximate9 [5] 100.0% [18] 182(0.6%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [22] 100.0% ---------------------------------------------------------------------- for-loop [10] 100.0% [19] 5956(21.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [25] 83.8% finalize-iter! [28] 6.5% gen-series! [29] 6.3% localize-error [30] 3.4% ---------------------------------------------------------------------- for-loop [12] 13.8% simplify-expr [11] 35.2% simplify [3] 51.0% [20] 4578(16.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [26] 100.0% ---------------------------------------------------------------------- loop [13] 100.0% [21] 412(1.5%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [27] 100.0% ---------------------------------------------------------------------- taylor-sqrt [18] 48.1% hash-ref! [73] 51.9% [22] 378(1.3%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [78] 100.0% ---------------------------------------------------------------------- get-final-combination [14] 100.0% [23] 198(0.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [68] 100.0% ---------------------------------------------------------------------- for-loop [16] 100.0% [24] 196(0.7%) 0(0.0%) parse-loop427 .../racket/match/compiler.rkt:410:15 for-loop [31] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [25] 4990(17.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [32] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [20] 100.0% [26] 4578(16.2%) 388(1.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [33] 60.9% loop [34] 17.0% apply-match [41] 8.7% loop [37] 4.8% ---------------------------------------------------------------------- pass [21] 100.0% [27] 412(1.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [38] 53.4% argmin [39] 46.6% ---------------------------------------------------------------------- run-iter! [19] 100.0% [28] 386(1.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [35] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [29] 378(1.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [36] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [30] 202(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [73] 100.0% ---------------------------------------------------------------------- parse-loop427 [24] 100.0% [31] 196(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [73] 100.0% ---------------------------------------------------------------------- simplify! [25] 100.0% [32] 4990(17.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [40] 100.0% ---------------------------------------------------------------------- for-loop [33] 50.0% one-iter [26] 50.0% [33] 2790(9.9%) 592(2.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [33] 50.0% match-e [46] 39.4% ---------------------------------------------------------------------- one-iter [26] 100.0% [34] 780(2.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [41] 100.0% ---------------------------------------------------------------------- finalize-iter! [28] 100.0% [35] 386(1.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [43] 100.0% ---------------------------------------------------------------------- gen-series! [29] 100.0% [36] 378(1.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [44] 100.0% ---------------------------------------------------------------------- one-iter [26] 100.0% [37] 220(0.8%) 220(0.8%) loop ...ket/collects/racket/private/list.rkt:264:4 ---------------------------------------------------------------------- for-loop [27] 100.0% [38] 220(0.8%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [42] 100.0% ---------------------------------------------------------------------- for-loop [27] 100.0% [39] 192(0.7%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [42] 100.0% ---------------------------------------------------------------------- for-loop [32] 6.1% run [9] 46.2% [40] 28324(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.2% loop [45] 37.6% run-improve58 [2] 10.0% simplify [3] 6.1% ---------------------------------------------------------------------- one-iter [26] 33.9% loop [34] 66.1% [41] 1180(4.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [46] 69.5% substitute-e [50] 15.6% reduce-to-single! [51] 14.9% ---------------------------------------------------------------------- argmin [39] 46.6% loop [38] 53.4% [42] 412(1.5%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [47] 100.0% ---------------------------------------------------------------------- ??? [35] 100.0% [43] 386(1.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [48] 100.0% ---------------------------------------------------------------------- for-loop [36] 100.0% [44] 378(1.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [49] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 3.8% ??? [40] 96.2% [45] 22170(78.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [52] 51.6% make-exacts* [59] 37.0% loop [60] 11.4% ---------------------------------------------------------------------- for-loop [61] 16.9% apply-match [41] 20.1% for-loop [33] 63.0% [46] 3018(10.7%) 1024(3.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [53] 56.6% for-loop [61] 13.1% constant? [56] 6.8% ---------------------------------------------------------------------- expression-cost [42] 100.0% [47] 412(1.5%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [73] 100.0% ---------------------------------------------------------------------- for-loop [43] 100.0% [48] 386(1.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [54] 100.0% ---------------------------------------------------------------------- taylor-alt [44] 100.0% [49] 378(1.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [55] 100.0% ---------------------------------------------------------------------- apply-match [41] 100.0% [50] 184(0.6%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [57] 100.0% ---------------------------------------------------------------------- apply-match [41] 100.0% [51] 176(0.6%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 make-sequence [58] 100.0% ---------------------------------------------------------------------- loop [45] 100.0% [52] 11444(40.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [60] 46.4% make-exacts* [59] 46.1% eval-prog [65] 7.5% ---------------------------------------------------------------------- match-e [46] 100.0% [53] 2024(7.1%) 784(2.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [61] 56.0% list-cartesian-product [63] 9.7% ---------------------------------------------------------------------- atab-add-altn [48] 100.0% [54] 386(1.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [62] 100.0% ---------------------------------------------------------------------- for-loop [49] 38.0% location-do [55] 62.0% [55] 378(1.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [55] 62.0% approximate9 [5] 38.0% ---------------------------------------------------------------------- match-e [46] 100.0% [56] 206(0.7%) 206(0.7%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- substitute-e [50] 100.0% [57] 184(0.6%) 184(0.6%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- reduce-to-single! [51] 100.0% [58] 176(0.6%) 176(0.6%) make-sequence ...ects/racket/private/for.rkt:508:2 ---------------------------------------------------------------------- loop [52] 39.1% loop [45] 60.9% [59] 13482(47.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [64] 58.9% loop [68] 36.2% eval-prog [65] 4.9% ---------------------------------------------------------------------- loop [45] 32.2% loop [52] 67.8% [60] 7826(27.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [64] 100.0% ---------------------------------------------------------------------- match-e [46] 24.5% for-loop [53] 75.5% [61] 1618(5.7%) 412(1.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [46] 56.6% ??? [66] 24.5% ---------------------------------------------------------------------- best-and-tied-at-points [54] 100.0% [62] 386(1.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [67] 51.8% eval-prog [65] 48.2% ---------------------------------------------------------------------- for-loop [53] 100.0% [63] 196(0.7%) 196(0.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- ??? [6] 0.4% f37 [78] 0.8% loop [60] 49.0% make-exacts* [59] 49.7% [64] 15970(56.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [68] 99.2% ??? [6] 0.4% ->flonum [74] 0.4% ---------------------------------------------------------------------- errors [62] 10.9% make-exacts* [59] 38.6% loop [52] 50.5% [65] 1708(6.0%) 402(1.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [73] 76.5% ---------------------------------------------------------------------- for-loop [61] 100.0% [66] 396(1.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 custom-in-set [69] 52.0% for-loop [71] 48.0% ---------------------------------------------------------------------- errors [62] 100.0% [67] 200(0.7%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [70] 100.0% ---------------------------------------------------------------------- make-exacts* [59] 0.6% extract-alt [23] 0.9% map [64] 1.8% ??? [4] 5.8% loop [68] 91.0% [68] 22354(78.9%) 218(0.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [68] 91.0% hash-ref! [73] 5.8% ??? [72] 2.0% simplify [3] 0.9% ->flonum [74] 0.3% ??? [6] 0.0% ---------------------------------------------------------------------- ??? [66] 100.0% [69] 206(0.7%) 206(0.7%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- for-loop [67] 100.0% [70] 200(0.7%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [79] 100.0% ---------------------------------------------------------------------- ??? [66] 100.0% [71] 190(0.7%) 190(0.7%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- loop [68] 100.0% [72] 18574(65.6%) 432(1.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [75] 75.3% real->bigfloat [76] 15.7% ??? [90] 5.6% ---------------------------------------------------------------------- for-loop [17] 2.3% for-loop [31] 2.3% ??? [80] 2.3% loop [15] 2.3% ??? [6] 4.8% localize-error [30] 4.8% compile [47] 6.7% ??? [4] 12.8% eval-prog [65] 20.6% loop [68] 41.1% [73] 2116(7.5%) 412(1.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 53.9% bigfloat-hash [77] 20.6% f37 [78] 9.5% ??? [80] 2.3% ??? [8] 2.3% ??? [7] 2.3% simplify [22] 2.3% ---------------------------------------------------------------------- map [64] 9.8% loop [68] 90.2% [74] 2058(7.3%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [91] 90.3% ??? [79] 9.7% ---------------------------------------------------------------------- ??? [72] 100.0% [75] 13984(49.4%) 194(0.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [81] 82.7% ...higher-order.rkt:373:33 [82] 15.9% ---------------------------------------------------------------------- ??? [72] 100.0% [76] 2912(10.3%) 1610(5.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [89] 44.7% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [77] 1306(4.6%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [83] 65.5% bigfloat->sig+exp [84] 17.5% sig+exp->bigfloat [85] 17.0% ---------------------------------------------------------------------- hash-ref! [73] 34.8% simplify [22] 65.2% [78] 580(2.0%) 378(1.3%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [64] 34.8% ---------------------------------------------------------------------- ulp-difference [70] 50.0% ->flonum [74] 50.0% [79] 400(1.4%) 400(1.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- hash-ref! [73] 100.0% [80] 196(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [73] 100.0% ---------------------------------------------------------------------- ??? [75] 100.0% [81] 11566(40.8%) 1538(5.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [86] 48.5% bfneg [87] 30.9% ??? [91] 7.3% ---------------------------------------------------------------------- ??? [75] 100.0% [82] 2224(7.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [88] 61.7% ??? [90] 38.3% ---------------------------------------------------------------------- bigfloat-hash [77] 100.0% [83] 856(3.0%) 856(3.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [77] 100.0% [84] 228(0.8%) 228(0.8%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 ---------------------------------------------------------------------- bigfloat-hash [77] 100.0% [85] 222(0.8%) 222(0.8%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ??? [81] 100.0% [86] 5610(19.8%) 3458(12.2%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [89] 38.4% ---------------------------------------------------------------------- ??? [81] 100.0% [87] 3576(12.6%) 2374(8.4%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [89] 33.6% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [82]100.0% [88] 1372(4.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [90] 100.0% ---------------------------------------------------------------------- bfneg [87] 25.8% real->bigfloat [76] 28.0% bfsub [86] 46.2% [89] 4656(16.4%) 4656(16.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [82] 26.2% ??? [72] 31.7% ??? [88] 42.1% [90] 3258(11.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [91] 100.0% ---------------------------------------------------------------------- ??? [81] 14.1% ->flonum [74] 31.2% ??? [90] 54.7% [91] 5958(21.0%) 3540(12.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [92] 40.6% ---------------------------------------------------------------------- ??? [91] 100.0% [92] 2418(8.5%) 1238(4.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 48.8% ---------------------------------------------------------------------- ??? [92] 100.0% [93] 1180(4.2%) 1180(4.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------