Profiling results ----------------- Total cpu time observed: 22208ms (out of 22656ms) Number of samples taken: 94 (once every 236ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [32] 100.0% [1] 21794(98.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [32] 100.0% [2] 6126(27.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 92.8% loop [37] 7.2% ---------------------------------------------------------------------- ??? [32] 100.0% [3] 4318(19.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 75.5% for-loop [11] 15.1% iterate-egraph!5 [16] 9.4% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [4] 710(3.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [65] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [5] 560(2.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [6] 560(2.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [12] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [7] 364(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 21794(98.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 5686(25.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [10] 3258(14.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 87.2% loop [18] 6.6% debug7 [85] 6.2% ---------------------------------------------------------------------- simplify [3] 100.0% [11] 654(2.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [12] 560(2.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [17] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [13] 560(2.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [71] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [14] 364(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [71] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [15] 5686(25.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 75.9% gen-series! [21] 13.6% finalize-iter! [22] 6.9% gen-rewrites! [24] 3.5% ---------------------------------------------------------------------- simplify [3] 10.4% for-loop [11] 16.8% simplify-expr [10] 72.8% [16] 3900(17.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 100.0% ---------------------------------------------------------------------- for-loop [12] 100.0% [17] 560(2.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [71] 100.0% ---------------------------------------------------------------------- simplify-expr [10] 100.0% [18] 216(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [23] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [19] 4318(19.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [20] 3900(17.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 52.2% loop [27] 47.8% ---------------------------------------------------------------------- run-iter! [15] 100.0% [21] 774(3.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [22] 394(1.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ---------------------------------------------------------------------- loop [18] 100.0% [23] 216(1.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [30] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [24] 200(0.9%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [31] 100.0% ---------------------------------------------------------------------- simplify! [19] 100.0% [25] 4318(19.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ---------------------------------------------------------------------- for-loop [26] 45.1% one-iter [20] 54.9% [26] 2036(9.2%) 624(2.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 45.1% match-e [38] 34.7% ---------------------------------------------------------------------- one-iter [20] 100.0% [27] 1864(8.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ---------------------------------------------------------------------- gen-series! [21] 100.0% [28] 774(3.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [34] 100.0% ---------------------------------------------------------------------- finalize-iter! [22] 100.0% [29] 394(1.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [35] 100.0% ---------------------------------------------------------------------- pass [23] 100.0% [30] 216(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [36] 100.0% ---------------------------------------------------------------------- gen-rewrites! [24] 100.0% [31] 200(0.9%) 200(0.9%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ---------------------------------------------------------------------- for-loop [25] 6.7% run [8] 46.4% [32] 22010(99.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.4% loop [37] 36.1% run-improve58 [2] 10.8% simplify [3] 6.7% ---------------------------------------------------------------------- loop [27] 100.0% [33] 1864(8.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [38] 66.1% merge-egraph-nodes! [40] 22.5% mk-enode! [42] 11.4% ---------------------------------------------------------------------- for-loop [28] 100.0% [34] 774(3.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ---------------------------------------------------------------------- ??? [29] 100.0% [35] 394(1.8%) 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] 216(1.0%) 216(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- run-improve58 [2] 2.7% ??? [32] 97.3% [37] 16324(73.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [43] 53.4% make-exacts* [49] 39.4% loop [50] 7.2% ---------------------------------------------------------------------- for-loop [52] 11.3% apply-match [33] 35.2% for-loop [26] 53.4% [38] 2644(11.9%) 1410(6.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [44] 54.2% ---------------------------------------------------------------------- taylor-alt [34] 100.0% [39] 774(3.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [40] 26.2% apply-match [33] 73.8% [40] 420(1.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [46] 73.8% merge-egraph-nodes! [40] 26.2% ---------------------------------------------------------------------- for-loop [35] 100.0% [41] 394(1.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 100.0% ---------------------------------------------------------------------- apply-match [33] 100.0% [42] 212(1.0%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [48] 100.0% ---------------------------------------------------------------------- loop [37] 100.0% [43] 8710(39.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [50] 49.3% make-exacts* [49] 37.2% eval-prog [51] 13.4% ---------------------------------------------------------------------- match-e [38] 100.0% [44] 1634(7.4%) 632(2.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [52] 43.0% list-cartesian-product [56] 12.2% foldl [57] 6.1% ---------------------------------------------------------------------- location-do [45] 12.7% for-loop [39] 87.3% [45] 774(3.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [53] 87.3% location-do [45] 12.7% ---------------------------------------------------------------------- merge-egraph-nodes! [40] 100.0% [46] 420(1.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [54] 100.0% ---------------------------------------------------------------------- atab-add-altn [41] 100.0% [47] 394(1.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [55] 100.0% ---------------------------------------------------------------------- mk-enode! [42] 100.0% [48] 212(1.0%) 212(1.0%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- loop [43] 33.5% loop [37] 66.5% [49] 9678(43.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [58] 54.1% loop [65] 45.9% ---------------------------------------------------------------------- loop [37] 21.5% loop [43] 78.5% [50] 5478(24.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [58] 100.0% ---------------------------------------------------------------------- loop [43] 100.0% [51] 1168(5.3%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [71] 60.8% inductor [60] 39.2% ---------------------------------------------------------------------- for-loop [44] 100.0% [52] 802(3.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 74.8% ??? [64] 25.2% ---------------------------------------------------------------------- location-do [45] 100.0% [53] 774(3.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [59] 72.4% taylor-quotient [63] 27.6% ---------------------------------------------------------------------- update-leader! [46] 100.0% [54] 420(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [61] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [47] 100.0% [55] 394(1.8%) 0(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [62] 100.0% ---------------------------------------------------------------------- list-cartesian-product [56] 50.0% for-loop [44] 50.0% [56] 200(0.9%) 200(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [56] 50.0% ---------------------------------------------------------------------- for-loop [44] 100.0% [57] 200(0.9%) 200(0.9%) foldl ...et/collects/racket/private/list.rkt:229:4 ---------------------------------------------------------------------- make-exacts* [49] 48.9% loop [50] 51.1% [58] 10710(48.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [65] 96.2% ??? [69] 3.8% ---------------------------------------------------------------------- approximate9 [53] 100.0% [59] 560(2.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [71] 100.0% ---------------------------------------------------------------------- eval-prog [51] 33.3% inductor [60] 66.7% [60] 458(2.1%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [60] 66.7% integer->bigfloat [66] 33.3% ---------------------------------------------------------------------- for-loop [54] 100.0% [61] 420(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [67] 100.0% ---------------------------------------------------------------------- for-loop [55] 100.0% [62] 394(1.8%) 394(1.8%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ---------------------------------------------------------------------- approximate9 [53] 100.0% [63] 214(1.0%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [75] 100.0% ---------------------------------------------------------------------- for-loop [52] 100.0% [64] 202(0.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [68] 100.0% ---------------------------------------------------------------------- make-exacts* [49] 0.6% parse-loop50 [83] 1.8% ??? [4] 4.4% map [58] 6.0% loop [65] 87.2% [65] 16038(72.2%) 214(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [65] 87.2% ??? [69] 6.5% hash-ref! [71] 4.4% parse-loop50 [83] 1.8% ->flonum [70] 0.0% ---------------------------------------------------------------------- inductor [60] 100.0% [66] 458(2.1%) 458(2.1%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ---------------------------------------------------------------------- for-loop [61] 100.0% [67] 420(1.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [72] 100.0% ---------------------------------------------------------------------- ??? [64] 100.0% [68] 202(0.9%) 202(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- map [58] 2.9% loop [65] 97.1% [69] 13862(62.4%) 450(2.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [73] 60.8% real->bigfloat [74] 34.6% ??? [94] 1.4% ---------------------------------------------------------------------- loop [65] 100.0% [70] 1278(5.8%) 264(1.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [97] 56.8% ??? [79] 22.5% ---------------------------------------------------------------------- for-loop [14] 5.7% for-loop [13] 9.6% for-loop [17] 9.6% ??? [77] 9.6% loop [59] 9.6% eval-prog [51] 22.0% loop [65] 33.9% [71] 1270(5.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 33.9% bigfloat-hash [76] 22.0% ??? [77] 9.6% ??? [6] 9.6% ??? [5] 9.6% simplify [75] 9.6% ??? [7] 5.7% ---------------------------------------------------------------------- hash-update! [67] 100.0% [72] 420(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [78] 100.0% ---------------------------------------------------------------------- ??? [69] 100.0% [73] 8422(37.9%) 244(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [80] 68.6% ...higher-order.rkt:373:33 [81] 16.9% ...higher-order.rkt:369:33 [82] 6.9% bf<= [86] 4.7% ---------------------------------------------------------------------- ??? [69] 100.0% [74] 4790(21.6%) 3444(15.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 28.1% ---------------------------------------------------------------------- taylor-quotient [63] 27.6% hash-ref! [71] 72.4% [75] 774(3.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [83] 72.4% debug7 [85] 27.6% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [76] 710(3.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [84] 64.2% sig+exp->bigfloat [87] 35.8% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [77] 560(2.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [71] 100.0% ---------------------------------------------------------------------- ??? [72] 100.0% [78] 420(1.9%) 420(1.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- ->flonum [70] 100.0% [79] 288(1.3%) 288(1.3%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ---------------------------------------------------------------------- ??? [73] 100.0% [80] 5776(26.0%) 1242(5.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexpt [88] 54.1% ??? [97] 16.3% bfsqr [90] 8.0% ---------------------------------------------------------------------- ??? [73] 100.0% [81] 1426(6.4%) 218(1.0%) ...higher-order.rkt:373:33 (unknown source) ??? [89] 84.7% ---------------------------------------------------------------------- ??? [73] 100.0% [82] 580(2.6%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [89] 100.0% ---------------------------------------------------------------------- append-map [95] 8.3% loop [65] 17.1% simplify [75] 22.4% parse-loop50 [83] 52.3% [83] 560(2.5%) 178(0.8%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [83] 52.3% loop [65] 17.1% f66 [91] 17.1% append-map [95] 8.3% ---------------------------------------------------------------------- bigfloat-hash [76] 100.0% [84] 456(2.1%) 456(2.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- simplify-expr [10] 48.6% simplify [75] 51.4% [85] 416(1.9%) 202(0.9%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [92] 51.4% ---------------------------------------------------------------------- ??? [73] 100.0% [86] 396(1.8%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [97] 100.0% ---------------------------------------------------------------------- bigfloat-hash [76] 100.0% [87] 254(1.1%) 254(1.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ??? [80] 100.0% [88] 3126(14.1%) 2660(12.0%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 14.9% ---------------------------------------------------------------------- ...higher-order.rkt:369:33 [82] 32.4% ...higher-order.rkt:373:33 [81] 67.6% [89] 1788(8.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ---------------------------------------------------------------------- ??? [80] 100.0% [90] 464(2.1%) 0(0.0%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [93] 100.0% ---------------------------------------------------------------------- composed [96] 24.3% parse-loop50 [83] 75.7% [91] 382(1.7%) 196(0.9%) f66 ...t/collects/racket/match/compiler.rkt:499:40 composed [96] 24.3% append-map [95] 24.3% ---------------------------------------------------------------------- debug7 [85] 100.0% [92] 214(1.0%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [94] 100.0% ---------------------------------------------------------------------- bfsqr [90] 20.4% bfexpt [88] 20.5% real->bigfloat [74] 59.1% [93] 2276(10.2%) 2276(10.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [69] 9.1% ??? [92] 9.7% ??? [89] 81.2% [94] 2202(9.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 90.3% dict? [98] 9.7% ---------------------------------------------------------------------- parse-loop50 [83] 50.0% f66 [91] 50.0% [95] 186(0.8%) 186(0.8%) append-map ...acket/collects/racket/list.rkt:565:2 parse-loop50 [83] 50.0% ---------------------------------------------------------------------- f66 [91] 100.0% [96] 186(0.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f66 [91] 100.0% ---------------------------------------------------------------------- bf<= [86] 9.8% ->flonum [70] 17.9% ??? [80] 23.3% ??? [94] 49.0% [97] 4054(18.3%) 2038(9.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 49.7% ---------------------------------------------------------------------- ??? [94] 100.0% [98] 214(1.0%) 214(1.0%) dict? ...ollects/racket/private/generic.rkt:146:11 ---------------------------------------------------------------------- ??? [97] 100.0% [99] 2016(9.1%) 1378(6.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 31.6% ---------------------------------------------------------------------- ??? [99] 100.0% [100] 638(2.9%) 638(2.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------