Profiling results ----------------- Total cpu time observed: 24582ms (out of 25132ms) Number of samples taken: 106 (once every 232ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [28] 100.0% [1] 24120(98.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% --------------------------------------------------------------------- ??? [28] 100.0% [2] 10440(42.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 93.2% loop [33] 4.6% get-final-combination [11] 2.1% --------------------------------------------------------------------- ??? [28] 100.0% [3] 7874(32.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 49.3% for-loop [10] 27.2% iterate-egraph!5 [14] 23.5% --------------------------------------------------------------------- hash-ref! [65] 100.0% [4] 408(1.7%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [57] 100.0% --------------------------------------------------------------------- loop [72] 100.0% [5] 408(1.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [65] 100.0% --------------------------------------------------------------------- location-do [46] 100.0% [6] 204(0.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 taylor-sqrt [12] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 24120(98.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 9734(39.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [9] 3882(15.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [10] 2140(8.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 222(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% --------------------------------------------------------------------- approximate9 [6] 100.0% [12] 204(0.8%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [16] 100.0% --------------------------------------------------------------------- for-loop [8] 100.0% [13] 9734(39.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 80.9% finalize-iter! [19] 10.5% localize-error [20] 4.2% choose-best-alt! [21] 2.3% gen-series! [22] 2.1% --------------------------------------------------------------------- simplify [3] 23.5% for-loop [10] 27.2% simplify-expr [9] 49.3% [14] 7874(32.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 100.0% --------------------------------------------------------------------- get-final-combination [11] 100.0% [15] 222(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [55] 100.0% --------------------------------------------------------------------- taylor-sqrt [12] 100.0% [16] 204(0.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [70] 100.0% --------------------------------------------------------------------- run-iter! [13] 100.0% [17] 7874(32.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 7874(32.0%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 65.9% loop [25] 31.2% apply-match [29] 2.8% --------------------------------------------------------------------- run-iter! [13] 100.0% [19] 1026(4.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% --------------------------------------------------------------------- run-iter! [13] 100.0% [20] 408(1.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [65] 100.0% --------------------------------------------------------------------- run-iter! [13] 100.0% [21] 222(0.9%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [26] 100.0% --------------------------------------------------------------------- run-iter! [13] 100.0% [22] 204(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% --------------------------------------------------------------------- simplify! [17] 100.0% [23] 7874(32.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 100.0% --------------------------------------------------------------------- for-loop [24] 46.0% one-iter [18] 54.0% [24] 5192(21.1%) 1688(6.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 46.0% match-e [34] 33.7% --------------------------------------------------------------------- one-iter [18] 100.0% [25] 2460(10.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [29] 100.0% --------------------------------------------------------------------- choose-best-alt! [21] 17.8% finalize-iter! [19] 82.2% [26] 1248(5.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [30] 82.2% atab-pick-alt8 [31] 17.8% --------------------------------------------------------------------- gen-series! [22] 100.0% [27] 204(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% --------------------------------------------------------------------- for-loop [23] 10.9% run [7] 44.3% [28] 24340(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.3% loop [33] 28.6% run-improve58 [2] 16.2% simplify [3] 10.9% --------------------------------------------------------------------- one-iter [18] 8.3% loop [25] 91.7% [29] 2682(10.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 update-leader! [43] 30.5% substitute-e [44] 23.2% merge-egraph-nodes! [36] 22.5% loop! [77] 8.3% match-e [34] 8.2% for-loop [39] 7.3% --------------------------------------------------------------------- ??? [26] 100.0% [30] 1026(4.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [35] 100.0% --------------------------------------------------------------------- ??? [26] 100.0% [31] 222(0.9%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [37] 100.0% --------------------------------------------------------------------- for-loop [27] 100.0% [32] 204(0.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% --------------------------------------------------------------------- run-improve58 [2] 3.4% ??? [28] 96.6% [33] 14384(58.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [40] 41.6% make-exacts* [50] 36.8% loop [51] 21.7% --------------------------------------------------------------------- apply-match [29] 3.0% for-loop [53] 6.5% for-loop [24] 90.5% [34] 3724(15.1%) 2446(10.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [41] 24.8% for-loop [53] 7.8% constant? [48] 5.4% --------------------------------------------------------------------- for-loop [30] 100.0% [35] 1026(4.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [42] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [36] 16.7% apply-match [29] 83.3% [36] 604(2.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [43] 33.4% for-loop [49] 33.1% merge-egraph-nodes! [36] 16.7% for-loop [47] 16.7% --------------------------------------------------------------------- atab-pick-alt8 [31] 100.0% [37] 222(0.9%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [45] 100.0% --------------------------------------------------------------------- taylor-alt [32] 100.0% [38] 204(0.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% --------------------------------------------------------------------- apply-match [29] 100.0% [39] 196(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 substitute-e [44] 100.0% --------------------------------------------------------------------- loop [33] 100.0% [40] 5980(24.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [51] 58.9% make-exacts* [50] 33.8% eval-prog [62] 7.3% --------------------------------------------------------------------- match-e [34] 100.0% [41] 1056(4.3%) 856(3.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [53] 29.4% --------------------------------------------------------------------- atab-add-altn [35] 100.0% [42] 1026(4.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [60] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [36] 19.8% apply-match [29] 80.2% [43] 1020(4.1%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [52] 80.6% update-en-expr [56] 19.4% --------------------------------------------------------------------- substitute-e [44] 12.0% for-loop [39] 12.0% apply-match [29] 76.0% [44] 818(3.3%) 196(0.8%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [54] 76.0% substitute-e [44] 12.0% --------------------------------------------------------------------- ??? [37] 100.0% [45] 222(0.9%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [55] 100.0% --------------------------------------------------------------------- for-loop [38] 16.7% location-do [46] 83.3% [46] 204(0.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [46] 83.3% approximate9 [6] 16.7% --------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [47] 202(0.8%) 202(0.8%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 --------------------------------------------------------------------- match-e [34] 100.0% [48] 200(0.8%) 200(0.8%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 --------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [49] 200(0.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [56] 100.0% --------------------------------------------------------------------- loop [40] 27.7% loop [33] 72.3% [50] 7310(29.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [57] 51.8% loop [72] 41.9% eval-prog [62] 6.3% --------------------------------------------------------------------- loop [33] 46.9% loop [40] 53.1% [51] 6640(27.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [57] 100.0% --------------------------------------------------------------------- update-leader! [43] 100.0% [52] 822(3.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [58] 100.0% --------------------------------------------------------------------- for-loop [41] 49.8% match-e [34] 50.2% [53] 642(2.6%) 222(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 65.4% --------------------------------------------------------------------- substitute-e [44] 100.0% [54] 622(2.5%) 622(2.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 --------------------------------------------------------------------- best-alt [45] 50.0% extract-alt [15] 50.0% [55] 444(1.8%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [59] 100.0% --------------------------------------------------------------------- update-leader! [43] 49.7% for-loop [49] 50.3% [56] 398(1.6%) 398(1.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- f6 [4] 3.8% make-exacts* [50] 35.0% loop [51] 61.3% [57] 10838(44.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [72] 93.8% ??? [75] 6.2% --------------------------------------------------------------------- for-loop [52] 100.0% [58] 822(3.3%) 202(0.8%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [61] 75.4% --------------------------------------------------------------------- loop [55] 100.0% [59] 444(1.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [60] 100.0% --------------------------------------------------------------------- composed [59] 30.2% best-and-tied-at-points [42] 69.8% [60] 1470(6.0%) 220(0.9%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 69.9% eval-prog [62] 15.1% --------------------------------------------------------------------- for-loop [58] 100.0% [61] 620(2.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [64] 100.0% --------------------------------------------------------------------- errors [60] 19.9% loop [40] 39.0% make-exacts* [50] 41.1% [62] 1114(4.5%) 222(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [65] 80.1% --------------------------------------------------------------------- errors [60] 100.0% [63] 1028(4.2%) 424(1.7%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [75] 39.3% ->flonum [67] 19.5% --------------------------------------------------------------------- hash-update! [61] 100.0% [64] 620(2.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [66] 100.0% --------------------------------------------------------------------- ??? [5] 15.7% localize-error [20] 15.7% eval-prog [62] 16.4% loop [72] 52.2% [65] 1300(5.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [69] 52.2% bigfloat-hash [68] 16.4% parse-loop12 [70] 15.7% f6 [4] 15.7% --------------------------------------------------------------------- ??? [64] 100.0% [66] 620(2.5%) 620(2.5%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- for-loop [63] 100.0% [67] 200(0.8%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [71] 100.0% --------------------------------------------------------------------- hash-ref! [65] 100.0% [68] 892(3.6%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [73] 76.2% sig+exp->bigfloat [74] 23.8% --------------------------------------------------------------------- hash-ref! [65] 100.0% [69] 892(3.6%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [72] 100.0% --------------------------------------------------------------------- simplify [16] 33.3% hash-ref! [65] 66.7% [70] 612(2.5%) 204(0.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [72] 66.7% --------------------------------------------------------------------- ->flonum [67] 100.0% [71] 200(0.8%) 200(0.8%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- make-exacts* [50] 0.1% parse-loop12 [70] 0.1% loop! [77] 0.8% map [57] 1.2% ??? [69] 6.1% loop [72] 91.8% [72] 14586(59.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [72] 91.8% hash-ref! [65] 6.1% ??? [75] 1.1% loop! [77] 0.8% ??? [5] 0.1% ??? [82] 0.1% --------------------------------------------------------------------- bigfloat-hash [68] 100.0% [73] 680(2.8%) 450(1.8%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [76] 33.8% --------------------------------------------------------------------- bigfloat-hash [68] 100.0% [74] 212(0.9%) 212(0.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- for-loop [63] 2.9% map [57] 4.7% loop [72] 92.4% [75] 14138(57.5%) 238(1.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 68.6% real->bigfloat [79] 28.1% ??? [88] 1.6% --------------------------------------------------------------------- bfcanonicalize [73] 100.0% [76] 230(0.9%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [80] 100.0% --------------------------------------------------------------------- loop [72] 50.0% apply-match [29] 50.0% [77] 222(0.9%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [72] 50.0% set [81] 50.0% --------------------------------------------------------------------- ??? [75] 100.0% [78] 9702(39.5%) 404(1.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [82] 81.3% ...higher-order.rkt:373:33 [83] 14.5% --------------------------------------------------------------------- ??? [75] 100.0% [79] 3966(16.1%) 3736(15.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [87] 5.8% --------------------------------------------------------------------- bigfloat->sig+exp [76] 100.0% [80] 230(0.9%) 230(0.9%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 --------------------------------------------------------------------- loop! [77] 100.0% [81] 222(0.9%) 222(0.9%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- loop [72] 4.9% ??? [78] 95.1% [82] 8296(33.7%) 4282(17.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [84] 22.1% bfsqr [85] 21.1% ??? [89] 5.2% --------------------------------------------------------------------- ??? [78] 100.0% [83] 1410(5.7%) 232(0.9%) ...higher-order.rkt:373:33 (unknown source) ??? [86] 83.5% --------------------------------------------------------------------- ??? [82] 100.0% [84] 1832(7.5%) 912(3.7%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [87] 50.2% --------------------------------------------------------------------- ??? [82] 100.0% [85] 1748(7.1%) 1008(4.1%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [87] 42.3% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [83]100.0% [86] 1178(4.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [88] 100.0% --------------------------------------------------------------------- real->bigfloat [79] 12.2% bfsqr [85] 39.2% bfsub [84] 48.7% [87] 1890(7.7%) 1890(7.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [75] 16.5% ??? [86] 83.5% [88] 1410(5.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% --------------------------------------------------------------------- ??? [82] 23.5% ??? [88] 76.5% [89] 1844(7.5%) 718(2.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [90] 61.1% --------------------------------------------------------------------- ??? [89] 100.0% [90] 1126(4.6%) 216(0.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [91] 80.8% --------------------------------------------------------------------- ??? [90] 100.0% [91] 910(3.7%) 910(3.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------