Profiling results ----------------- Total cpu time observed: 18258ms (out of 18776ms) Number of samples taken: 99 (once every 184ms) ========================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================= ??? [35] 100.0% [1] 17940(98.3%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ------------------------------------------------------------------------- ??? [35] 100.0% [2] 3364(18.4%) 0(0.0%) run-improve50 ...ock/herbie/src/mainloop.rkt:234:0 for-loop [9] 91.8% loop [42] 8.2% ------------------------------------------------------------------------- ??? [35] 100.0% [3] 2298(12.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 85.6% for-loop [12] 14.4% ------------------------------------------------------------------------- match-e [43] 100.0% [4] 324(1.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [11] 100.0% ------------------------------------------------------------------------- hash-ref! [100] 100.0% [5] 132(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:318:33 for-loop [15] 100.0% ------------------------------------------------------------------------- hash-ref! [100] 100.0% [6] 132(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:291:23 for-loop [14] 100.0% ------------------------------------------------------------------------- hash-ref! [100] 100.0% [7] 132(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:281:26 for-loop [13] 100.0% ------------------------------------------------------------------------- profile-thunk16 [1] 99.1% [8] 18094(99.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [35] 100.0% ------------------------------------------------------------------------- run-improve50 [2] 100.0% [9] 3088(16.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:245:8 run-iter! [16] 100.0% ------------------------------------------------------------------------- simplify [3] 100.0% [10] 1966(10.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 83.2% loop [18] 16.8% ------------------------------------------------------------------------- match-e [43] 23.9% for-loop [4] 76.1% [11] 426(2.3%) 164(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [43] 80.8% ------------------------------------------------------------------------- simplify [3] 100.0% [12] 332(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% ------------------------------------------------------------------------- ??? [7] 100.0% [13] 132(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:281:52 hash-ref! [100] 100.0% ------------------------------------------------------------------------- ??? [6] 100.0% [14] 132(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:294:27 hash-ref! [100] 100.0% ------------------------------------------------------------------------- ??? [5] 100.0% [15] 132(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:320:46 simplify [19] 100.0% ------------------------------------------------------------------------- for-loop [9] 100.0% [16] 3088(16.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:215:0 simplify! [20] 74.4% finalize-iter! [23] 10.4% choose-best-alt! [24] 6.9% gen-series! [25] 4.3% localize-error [27] 4.1% ------------------------------------------------------------------------- for-loop [12] 16.9% simplify-expr [10] 83.1% [17] 1968(10.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [21] 100.0% ------------------------------------------------------------------------- simplify-expr [10] 100.0% [18] 330(1.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [22] 100.0% ------------------------------------------------------------------------- for-loop [15] 100.0% [19] 132(0.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:15:0 simplify* [26] 100.0% ------------------------------------------------------------------------- run-iter! [16] 100.0% [20] 2298(12.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:155:0 for-loop [28] 100.0% ------------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [21] 1968(10.8%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [29] 58.6% loop [30] 36.8% apply-match [36] 4.6% ------------------------------------------------------------------------- loop [18] 100.0% [22] 330(1.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [32] 100.0% ------------------------------------------------------------------------- run-iter! [16] 100.0% [23] 320(1.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:169:0 ??? [31] 100.0% ------------------------------------------------------------------------- run-iter! [16] 100.0% [24] 212(1.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:115:0 ??? [31] 100.0% ------------------------------------------------------------------------- run-iter! [16] 100.0% [25] 132(0.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:129:0 for-loop [33] 100.0% ------------------------------------------------------------------------- simplify [19] 100.0% [26] 132(0.7%) 0(0.0%) simplify* ...tlock/herbie/src/core/reduce.rkt:20:0 hash-ref! [100] 100.0% ------------------------------------------------------------------------- run-iter! [16] 100.0% [27] 126(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 for-loop [34] 100.0% ------------------------------------------------------------------------- simplify! [20] 100.0% [28] 2298(12.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:159:6 ??? [35] 100.0% ------------------------------------------------------------------------- for-loop [29] 50.0% one-iter [21] 50.0% [29] 1154(6.3%) 444(2.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [29] 50.0% match-e [43] 30.8% ------------------------------------------------------------------------- one-iter [21] 100.0% [30] 724(4.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [36] 100.0% ------------------------------------------------------------------------- match-e [43] 16.1% choose-best-alt! [24] 33.4% finalize-iter! [23] 50.5% [31] 634(3.5%) 102(0.6%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [38] 50.5% ??? [39] 33.4% ------------------------------------------------------------------------- pass [22] 100.0% [32] 330(1.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [37] 100.0% ------------------------------------------------------------------------- gen-series! [25] 100.0% [33] 132(0.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:135:7 taylor-alt [40] 100.0% ------------------------------------------------------------------------- localize-error [27] 100.0% [34] 126(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:61:10 loop [41] 100.0% ------------------------------------------------------------------------- for-loop [28] 4.3% run [8] 48.0% [35] 18258(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 47.2% loop [42] 41.2% run-improve50 [2] 7.3% simplify [3] 4.3% ------------------------------------------------------------------------- one-iter [21] 11.1% loop [30] 88.9% [36] 814(4.5%) 120(0.7%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [46] 20.9% for-loop [47] 20.9% match-e [43] 20.1% loop! [76] 12.3% mk-enode! [49] 11.1% ------------------------------------------------------------------------- for-loop [32] 100.0% [37] 330(1.8%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [44] 100.0% ------------------------------------------------------------------------- ??? [31] 100.0% [38] 320(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [45] 100.0% ------------------------------------------------------------------------- ??? [31] 100.0% [39] 212(1.2%) 0(0.0%) ??? ...ztatlock/herbie/src/core/alt-table.rkt:54:0 ??? [74] 100.0% ------------------------------------------------------------------------- for-loop [33] 100.0% [40] 132(0.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:141:0 for-loop [48] 100.0% ------------------------------------------------------------------------- for-loop [34] 100.0% [41] 126(0.7%) 126(0.7%) loop ...ket/collects/racket/private/map.rkt:112:23 ------------------------------------------------------------------------- run-improve50 [2] 1.8% ??? [35] 98.2% [42] 15170(83.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:159:2 make-exacts* [55] 56.8% loop [50] 36.5% for-loop [51] 5.6% loop [56] 1.2% ------------------------------------------------------------------------- apply-match [36] 9.4% for-loop [11] 24.4% for-loop [29] 66.2% [43] 874(4.8%) 608(3.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [4] 27.9% for-loop [11] 5.8% ??? [31] 5.8% ------------------------------------------------------------------------- argmin [37] 100.0% [44] 330(1.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/programs.rkt:197:2 ...erbie/src/common.rkt:46:2 [53] 56.4% location-do [81] 43.6% ------------------------------------------------------------------------- for-loop [38] 100.0% [45] 320(1.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [52] 100.0% ------------------------------------------------------------------------- apply-match [36] 100.0% [46] 170(0.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [54] 100.0% ------------------------------------------------------------------------- apply-match [36] 100.0% [47] 170(0.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [76] 100.0% ------------------------------------------------------------------------- taylor-alt [40] 100.0% [48] 132(0.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:143:2 ??? [74] 100.0% ------------------------------------------------------------------------- apply-match [36] 100.0% [49] 90(0.5%) 90(0.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------- loop [42] 100.0% [50] 5534(30.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:119:2 loop [56] 61.2% make-exacts* [55] 36.3% eval-prog [64] 2.5% ------------------------------------------------------------------------- loop [42] 100.0% [51] 842(4.6%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:166:24 for-loop [57] 81.7% ??? [61] 18.3% ------------------------------------------------------------------------- atab-add-altn [45] 100.0% [52] 320(1.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [58] 100.0% ------------------------------------------------------------------------- for-loop [44] 100.0% [53] 186(1.0%) 0(0.0%) ...erbie/src/common.rkt:46:2 ...e/arr-i.rkt:906:19 ??? [59] 100.0% ------------------------------------------------------------------------- merge-egraph-nodes! [46] 100.0% [54] 170(0.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [60] 100.0% ------------------------------------------------------------------------- loop [50] 18.9% loop [42] 81.1% [55] 10618(58.2%) 0(0.0%) make-exacts* ...atlock/herbie/src/points.rkt:106:0 map [62] 59.1% loop [68] 38.8% eval-prog [64] 2.1% ------------------------------------------------------------------------- loop [42] 5.2% loop [50] 94.8% [56] 3572(19.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:109:4 map [62] 100.0% ------------------------------------------------------------------------- for-loop [51] 100.0% [57] 688(3.8%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:167:26 ??? [63] 100.0% ------------------------------------------------------------------------- composed [98] 39.8% best-and-tied-at-points [52] 60.2% [58] 532(2.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:184:0 for-loop [65] 71.8% eval-prog [64] 28.2% ------------------------------------------------------------------------- ...erbie/src/common.rkt:46:2 [53]100.0% [59] 186(1.0%) 0(0.0%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 assoc-ref [66] 100.0% ------------------------------------------------------------------------- update-leader! [54] 100.0% [60] 170(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [67] 100.0% ------------------------------------------------------------------------- for-loop [51] 100.0% [61] 154(0.8%) 154(0.8%) ??? ...tract/private/arrow-higher-order.rkt:346:33 ------------------------------------------------------------------------- loop [56] 36.3% make-exacts* [55] 63.7% [62] 9846(53.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 loop [68] 98.6% ??? [73] 1.4% ------------------------------------------------------------------------- for-loop [57] 100.0% [63] 688(3.8%) 304(1.7%) ??? /home/ztatlock/herbie/src/points.rkt:156:9 random-exp [70] 35.8% ??? [74] 20.1% ------------------------------------------------------------------------- loop [50] 26.7% errors [58] 29.1% make-exacts* [55] 44.2% [64] 516(2.8%) 150(0.8%) eval-prog ...tatlock/herbie/src/programs.rkt:146:0 f134 [69] 70.9% ------------------------------------------------------------------------- errors [58] 100.0% [65] 382(2.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:187:4 ulp-difference [71] 55.5% ??? [73] 44.5% ------------------------------------------------------------------------- ??? [59] 100.0% [66] 186(1.0%) 186(1.0%) assoc-ref ...collects/racket/private/dict.rkt:56:0 ------------------------------------------------------------------------- for-loop [60] 100.0% [67] 170(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [72] 100.0% ------------------------------------------------------------------------- ??? [73] 0.1% loop! [76] 0.7% map [62] 0.8% make-exacts* [55] 1.7% loop [68] 96.7% [68] 13926(76.3%) 158(0.9%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [68] 96.7% ??? [73] 2.5% loop! [76] 0.7% ??? [78] 0.1% ->flonum [75] 0.0% ------------------------------------------------------------------------- f134 [69] 31.1% eval-prog [64] 68.9% [69] 366(2.0%) 0(0.0%) f134 .../collects/racket/match/compiler.rkt:507:40 ??? [74] 68.9% f134 [69] 31.1% ------------------------------------------------------------------------- ??? [63] 100.0% [70] 246(1.3%) 246(1.3%) random-exp ...ztatlock/herbie/src/common.rkt:222:0 ------------------------------------------------------------------------- for-loop [65] 100.0% [71] 212(1.2%) 212(1.2%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ------------------------------------------------------------------------- for-loop [67] 100.0% [72] 170(0.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [77] 100.0% ------------------------------------------------------------------------- map [62] 1.0% for-loop [65] 1.3% loop [68] 97.7% [73] 13518(74.0%) 1128(6.2%) ??? /home/ztatlock/herbie/src/programs.rkt:152:4 ??? [78] 56.3% ??? [79] 25.0% loop [68] 8.6% ??? [82] 1.8% ------------------------------------------------------------------------- location-do [81] 7.8% for-loop [48] 7.8% ??? [63] 16.3% ??? [39] 25.0% f134 [69] 43.2% [74] 848(4.6%) 138(0.8%) ??? ...tract/private/arrow-higher-order.rkt:342:33 location-do [81] 34.7% best-alt [83] 25.0% ??? [86] 16.3% approximate9 [87] 7.8% ------------------------------------------------------------------------- loop [68] 100.0% [75] 614(3.4%) 0(0.0%) ->flonum .../ztatlock/herbie/src/programs.rkt:34:0 ??? [80] 100.0% ------------------------------------------------------------------------- loop [68] 18.5% apply-match [36] 18.5% for-loop [47] 63.0% [76] 270(1.5%) 100(0.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [85] 63.0% loop [68] 18.5% ------------------------------------------------------------------------- hash-update! [72] 100.0% [77] 170(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [84] 100.0% ------------------------------------------------------------------------- loop [68] 11.7% ??? [73] 88.3% [78] 8618(47.2%) 448(2.5%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [88] 94.8% ------------------------------------------------------------------------- ??? [73] 100.0% [79] 3376(18.5%) 1162(6.4%) ??? ...acket/collects/racket/private/kw.rkt:444:14 bf* [89] 32.1% ??? [96] 25.8% ...higher-order.rkt:346:33 [91] 7.6% ------------------------------------------------------------------------- ->flonum [75] 100.0% [80] 614(3.4%) 450(2.5%) ??? /home/ztatlock/herbie/src/config.rkt:48:0 return/no-unsupplied [90] 26.7% ------------------------------------------------------------------------- for-loop [44] 28.6% ??? [74] 71.4% [81] 504(2.8%) 0(0.0%) location-do ...acket/private/norm-define.rkt:53:83 return/no-unsupplied [90] 45.2% ??? [94] 28.6% ??? [74] 26.2% ------------------------------------------------------------------------- ??? [73] 100.0% [82] 238(1.3%) 238(1.3%) ??? ...tract/private/arrow-higher-order.rkt:145:21 ------------------------------------------------------------------------- ??? [74] 100.0% [83] 212(1.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:78:0 argmins [92] 100.0% ------------------------------------------------------------------------- ??? [77] 100.0% [84] 170(0.9%) 170(0.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ------------------------------------------------------------------------- loop! [76] 100.0% [85] 170(0.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [93] 100.0% ------------------------------------------------------------------------- ??? [74] 100.0% [86] 138(0.8%) 138(0.8%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ------------------------------------------------------------------------- ??? [74] 100.0% [87] 132(0.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:12:0 loop [95] 100.0% ------------------------------------------------------------------------- ??? [78] 100.0% [88] 8170(44.7%) 5836(32.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [104] 28.6% ------------------------------------------------------------------------- ??? [79] 100.0% [89] 1084(5.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [96] 100.0% ------------------------------------------------------------------------- ??? [80] 41.8% location-do [81] 58.2% [90] 392(2.1%) 392(2.1%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 ------------------------------------------------------------------------- ??? [79] 100.0% [91] 258(1.4%) 0(0.0%) ...higher-order.rkt:346:33 (unknown source) ??? [97] 100.0% ------------------------------------------------------------------------- best-alt [83] 100.0% [92] 212(1.2%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:134:0 composed [98] 100.0% ------------------------------------------------------------------------- custom-set-union [85] 100.0% [93] 170(0.9%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [99] 100.0% ------------------------------------------------------------------------- location-do [81] 100.0% [94] 144(0.8%) 144(0.8%) ??? ...ects/racket/contract/private/list.rkt:737:4 ------------------------------------------------------------------------- approximate9 [87] 100.0% [95] 132(0.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:83:4 hash-ref! [100] 100.0% ------------------------------------------------------------------------- ??? [79] 44.6% bf* [89] 55.4% [96] 1956(10.7%) 408(2.2%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [101] 79.1% ------------------------------------------------------------------------- ...higher-order.rkt:346:33 [91] 100.0% [97] 258(1.4%) 258(1.4%) ??? ...cts/racket/contract/private/list.rkt:187:10 ------------------------------------------------------------------------- argmins [92] 100.0% [98] 212(1.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [58] 100.0% ------------------------------------------------------------------------- for-loop [93] 100.0% [99] 170(0.9%) 170(0.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------- simplify* [26] 12.5% for-loop [14] 12.5% for-loop [13] 12.5% ??? [102] 12.5% loop [95] 12.5% ??? [103] 37.5% [100] 132(0.7%) 132(0.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [103] 37.5% ??? [102] 12.5% ??? [7] 12.5% ??? [6] 12.5% ??? [5] 12.5% ------------------------------------------------------------------------- ??? [96] 100.0% [101] 1548(8.5%) 762(4.2%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [104] 50.8% ------------------------------------------------------------------------- hash-ref! [100] 100.0% [102] 132(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:43:15 hash-ref! [100] 100.0% ------------------------------------------------------------------------- hash-ref! [100] 100.0% [103] 132(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:64:15 hash-ref! [100] 100.0% ------------------------------------------------------------------------- bfmul [101] 25.2% real->bigfloat [88] 74.8% [104] 3120(17.1%) 3120(17.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------