Profiling results ----------------- Total cpu time observed: 23856ms (out of 24228ms) Number of samples taken: 101 (once every 236ms) (Hiding functions with self<1.0% and local<2.0%: 4 of 101 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [30] 100.0% [1] 22528(94.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% --------------------------------------------------------------------- ??? [30] 100.0% [2] 13840(58.0%) 298(1.2%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 92.0% get-final-combination [10] 4.4% loop [37] 1.5% --------------------------------------------------------------------- loop [67] 5.2% ??? [30] 94.8% [3] 11710(49.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 57.8% for-loop [9] 31.6% iterate-egraph!5 [13] 10.6% --------------------------------------------------------------------- hash-ref! [77] 100.0% [4] 402(1.7%) 200(0.8%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [11] 50.2% --------------------------------------------------------------------- hash-ref! [77] 100.0% [5] 220(0.9%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [67] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 22528(94.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 12734(53.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [12] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [8] 6766(28.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [13] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [9] 3700(15.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [13] 89.0% loop [15] 11.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 604(2.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [14] 100.0% --------------------------------------------------------------------- simplify [4] 47.9% hash-ref! [77] 52.1% [11] 422(1.8%) 202(0.8%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [62] 52.1% --------------------------------------------------------------------- for-loop [7] 100.0% [12] 12734(53.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 87.2% finalize-iter! [18] 6.3% gen-series! [20] 3.2% localize-error [21] 1.7% choose-best-alt! [22] 1.6% --------------------------------------------------------------------- simplify [3] 11.0% for-loop [9] 29.1% simplify-expr [8] 59.9% [13] 11304(47.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 98.1% --------------------------------------------------------------------- get-final-combination [10] 100.0% [14] 604(2.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [67] 100.0% --------------------------------------------------------------------- for-loop [9] 100.0% [15] 406(1.7%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [19] 100.0% --------------------------------------------------------------------- run-iter! [12] 100.0% [16] 11106(46.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [17] 11094(46.5%) 402(1.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 66.4% loop [25] 24.6% hash-keys [28] 3.6% --------------------------------------------------------------------- run-iter! [12] 100.0% [18] 806(3.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% --------------------------------------------------------------------- loop [15] 100.0% [19] 406(1.7%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [27] 100.0% --------------------------------------------------------------------- run-iter! [12] 100.0% [20] 402(1.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% --------------------------------------------------------------------- run-iter! [12] 100.0% [21] 220(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [77] 100.0% --------------------------------------------------------------------- run-iter! [12] 100.0% [22] 200(0.8%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [26] 100.0% --------------------------------------------------------------------- simplify! [16] 100.0% [23] 11106(46.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% --------------------------------------------------------------------- for-loop [24] 48.6% one-iter [17] 51.4% [24] 7362(30.9%) 1432(6.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 48.6% match-e [38] 40.3% --------------------------------------------------------------------- one-iter [17] 100.0% [25] 2728(11.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% --------------------------------------------------------------------- choose-best-alt! [22] 19.9% finalize-iter! [18] 80.1% [26] 1006(4.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 80.1% atab-pick-alt8 [36] 19.9% --------------------------------------------------------------------- pass [19] 100.0% [27] 406(1.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [33] 100.0% --------------------------------------------------------------------- one-iter [17] 100.0% [28] 402(1.7%) 0(0.0%) hash-keys .../collects/racket/private/hash.rkt:2:2 loop [34] 100.0% --------------------------------------------------------------------- gen-series! [20] 100.0% [29] 402(1.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% --------------------------------------------------------------------- for-loop [23] 16.1% run [6] 40.4% [30] 23558(98.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.4% run-improve58 [2] 22.8% loop [37] 20.6% simplify [3] 16.1% --------------------------------------------------------------------- loop [25] 100.0% [31] 2728(11.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [38] 55.1% merge-egraph-nodes! [40] 22.1% substitute-e [42] 14.7% loop! [70] 8.1% --------------------------------------------------------------------- ??? [26] 100.0% [32] 806(3.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% --------------------------------------------------------------------- for-loop [27] 100.0% [33] 406(1.7%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [41] 100.0% --------------------------------------------------------------------- loop [34] 50.0% hash-keys [28] 50.0% [34] 402(1.7%) 402(1.7%) loop ...acket/collects/racket/private/hash.rkt:3:4 loop [34] 50.0% --------------------------------------------------------------------- for-loop [29] 100.0% [35] 402(1.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% --------------------------------------------------------------------- ??? [26] 100.0% [36] 200(0.8%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [44] 100.0% --------------------------------------------------------------------- run-improve58 [2] 2.1% ??? [30] 97.9% [37] 9922(41.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [54] 55.9% loop [45] 40.2% loop [56] 4.0% --------------------------------------------------------------------- apply-match [31] 14.4% for-loop [55] 17.2% for-loop [24] 68.4% [38] 7434(31.2%) 3884(16.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [46] 38.9% for-loop [55] 6.4% list-cartesian-product [58] 5.4% loop [67] 2.9% --------------------------------------------------------------------- for-loop [32] 100.0% [39] 806(3.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [40] 16.6% for-loop [53] 16.6% apply-match [31] 66.8% [40] 602(2.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 33.6% for-loop [53] 33.2% merge-egraph-nodes! [40] 16.6% loop! [70] 16.6% --------------------------------------------------------------------- argmin [33] 100.0% [41] 406(1.7%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [48] 100.0% --------------------------------------------------------------------- substitute-e [42] 33.2% apply-match [31] 66.8% [42] 402(1.7%) 200(0.8%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [51] 50.2% substitute-e [42] 33.2% --------------------------------------------------------------------- taylor-alt [35] 100.0% [43] 402(1.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% --------------------------------------------------------------------- atab-pick-alt8 [36] 100.0% [44] 200(0.8%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [52] 100.0% --------------------------------------------------------------------- loop [37] 100.0% [45] 3988(16.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [56] 49.2% make-exacts* [54] 43.4% loop [60] 7.4% --------------------------------------------------------------------- match-e [38] 100.0% [46] 3336(14.0%) 1506(6.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [55] 43.8% loop [67] 15.1% list-cartesian-product [58] 6.0% --------------------------------------------------------------------- atab-add-altn [39] 100.0% [47] 806(3.4%) 202(0.8%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [57] 74.9% --------------------------------------------------------------------- expression-cost [41] 100.0% [48] 406(1.7%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [77] 100.0% --------------------------------------------------------------------- for-loop [43] 100.0% [49] 402(1.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [59] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [40] 100.0% [50] 202(0.8%) 202(0.8%) update-leader! ...herbie/src/core/egraph.rkt:217:0 --------------------------------------------------------------------- substitute-e [42] 100.0% [51] 202(0.8%) 202(0.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 --------------------------------------------------------------------- ??? [44] 100.0% [52] 200(0.8%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [61] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [40] 100.0% [53] 200(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [40] 50.0% loop! [70] 50.0% --------------------------------------------------------------------- loop [45] 23.8% loop [37] 76.2% [54] 7274(30.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [62] 62.1% loop [67] 37.9% --------------------------------------------------------------------- match-e [38] 32.6% for-loop [46] 67.4% [55] 2496(10.5%) 422(1.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 91.5% --------------------------------------------------------------------- loop [37] 16.7% loop [45] 83.3% [56] 2354(9.9%) 200(0.8%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [62] 91.5% --------------------------------------------------------------------- best-and-tied-at-points [47] 100.0% [57] 604(2.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 66.9% eval-prog [66] 33.1% --------------------------------------------------------------------- for-loop [46] 33.3% match-e [38] 66.7% [58] 600(2.5%) 600(2.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 --------------------------------------------------------------------- location-do [49] 100.0% [59] 402(1.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [64] 100.0% --------------------------------------------------------------------- loop [45] 0.1% loop [60] 99.9% [60] 294(1.2%) 294(1.2%) loop /home/ztatlock/herbie/src/points.rkt:72:2 loop [60] 99.9% --------------------------------------------------------------------- best-alt [52] 100.0% [61] 200(0.8%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 errors-score [65] 100.0% --------------------------------------------------------------------- f37 [11] 3.2% loop [56] 31.3% make-exacts* [54] 65.5% [62] 6888(28.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 93.8% loop [68] 3.2% ??? [69] 3.0% --------------------------------------------------------------------- errors [57] 100.0% [63] 404(1.7%) 202(0.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [69] 50.0% --------------------------------------------------------------------- approximate9 [59] 100.0% [64] 402(1.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [77] 100.0% --------------------------------------------------------------------- loop [61] 100.0% [65] 200(0.8%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [67] 100.0% --------------------------------------------------------------------- errors [57] 100.0% [66] 200(0.8%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [77] 100.0% --------------------------------------------------------------------- errors-score [65] 0.0% ??? [69] 0.0% map [62] 0.3% match-e [38] 0.3% make-exacts* [54] 0.7% loop! [70] 1.0% extract-alt [14] 1.3% ??? [84] 1.7% parse-loop12 [5] 1.9% for-loop [46] 3.0% loop [67] 89.7% [67] 11498(48.2%) 604(2.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 89.7% ??? [72] 1.9% hash-ref! [77] 1.7% simplify [3] 1.3% loop! [70] 1.0% ??? [69] 0.9% foldl [73] 0.3% for-loop [74] 0.1% ->flonum [78] 0.1% real->bigfloat [76] 0.0% ??? [91] 0.0% --------------------------------------------------------------------- map [62] 5.9% loop [68] 94.1% [68] 220(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [68] 94.1% ??? [71] 5.9% --------------------------------------------------------------------- for-loop [63] 2.2% map [62] 2.2% loop [67] 95.7% [69] 9382(39.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [75] 47.8% real->bigfloat [76] 33.8% loop [67] 13.3% ??? [91] 5.1% --------------------------------------------------------------------- loop [67] 17.7% apply-match [31] 17.7% merge-egraph-nodes! [40] 32.3% for-loop [53] 32.3% [70] 620(2.6%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [79] 64.5% loop [67] 17.7% set [80] 17.7% --------------------------------------------------------------------- loop [68] 100.0% [71] 220(0.9%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [78] 100.0% --------------------------------------------------------------------- loop [67] 100.0% [72] 220(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [77] 100.0% --------------------------------------------------------------------- loop [67] 100.0% [73] 218(0.9%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [81] 100.0% --------------------------------------------------------------------- loop [67] 100.0% [74] 210(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [82] 100.0% --------------------------------------------------------------------- ??? [69] 100.0% [75] 4486(18.8%) 202(0.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [83] 59.5% ??? [90] 29.7% ...higher-order.rkt:373:33 [88] 6.3% --------------------------------------------------------------------- loop [67] 23.2% ??? [69] 76.8% [76] 4132(17.3%) 3492(14.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 15.5% --------------------------------------------------------------------- eval-prog [66] 5.4% ??? [86] 8.2% loop [64] 8.2% ??? [72] 9.0% localize-error [21] 9.0% loop [67] 10.9% compile [48] 11.0% ??? [85] 16.4% ??? [84] 22.0% [77] 1228(5.1%) 606(2.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [84] 32.9% ??? [85] 16.4% parse-loop12 [5] 9.0% f37 [11] 9.0% ??? [86] 8.2% simplify [4] 8.2% --------------------------------------------------------------------- ??? [71] 47.0% loop [67] 53.0% [78] 468(2.0%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [89] 53.0% ??? [94] 47.0% --------------------------------------------------------------------- loop! [70] 100.0% [79] 400(1.7%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [87] 100.0% --------------------------------------------------------------------- loop! [70] 100.0% [80] 220(0.9%) 220(0.9%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- foldl [73] 100.0% [81] 218(0.9%) 218(0.9%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 --------------------------------------------------------------------- for-loop [74] 100.0% [82] 210(0.9%) 210(0.9%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 --------------------------------------------------------------------- ??? [75] 100.0% [83] 2668(11.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% --------------------------------------------------------------------- hash-ref! [77] 100.0% [84] 606(2.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [77] 67.0% loop [67] 33.0% --------------------------------------------------------------------- hash-ref! [77] 100.0% [85] 402(1.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [77] 100.0% --------------------------------------------------------------------- hash-ref! [77] 100.0% [86] 402(1.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [77] 100.0% --------------------------------------------------------------------- custom-set-union [79] 100.0% [87] 400(1.7%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [92] 100.0% --------------------------------------------------------------------- ??? [75] 100.0% [88] 284(1.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% --------------------------------------------------------------------- ->flonum [78] 100.0% [89] 248(1.0%) 248(1.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- ??? [75] 33.3% bf* [83] 66.7% [90] 4000(16.8%) 554(2.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [93] 80.2% ??? [94] 6.0% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [88] 27.1% loop [67] 27.7% ??? [69] 45.2% [91] 1048(4.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% --------------------------------------------------------------------- for-loop [87] 100.0% [92] 400(1.7%) 400(1.7%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------- ??? [90] 100.0% [93] 3206(13.4%) 2488(10.4%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 22.4% --------------------------------------------------------------------- ->flonum [78] 14.6% ??? [90] 15.9% ??? [91] 69.5% [94] 1508(6.3%) 714(3.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 52.7% --------------------------------------------------------------------- real->bigfloat [76] 47.1% bfmul [93] 52.9% [95] 1358(5.7%) 1358(5.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [94] 100.0% [96] 794(3.3%) 510(2.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 35.8% --------------------------------------------------------------------- ??? [96] 100.0% [97] 284(1.2%) 284(1.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------