Profiling results ----------------- Total cpu time observed: 20098ms (out of 20764ms) Number of samples taken: 81 (once every 248ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [25] 100.0% [1] 19854(98.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ---------------------------------------------------------------------- ??? [25] 100.0% [2] 3590(17.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 49.0% finalize-table! [9] 40.2% loop [28] 10.8% ---------------------------------------------------------------------- hash-ref! [44] 100.0% [3] 1110(5.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [10] 100.0% ---------------------------------------------------------------------- hash-ref! [44] 100.0% [4] 848(4.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [44] 100.0% [5] 654(3.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [12] 100.0% ---------------------------------------------------------------------- hash-ref! [44] 100.0% [6] 214(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [13] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 19854(98.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [25] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 1758(8.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1444(7.2%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% ---------------------------------------------------------------------- ??? [3] 100.0% [10] 1110(5.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [44] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [11] 848(4.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [44] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [12] 654(3.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [16] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [13] 214(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [46] 100.0% ---------------------------------------------------------------------- for-loop [8] 100.0% [14] 1758(8.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 48.9% gen-series! [18] 39.2% finalize-iter! [20] 11.8% ---------------------------------------------------------------------- finalize-table! [9] 100.0% [15] 1444(7.2%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [52] 43.1% for-loop [19] 42.9% ??? [24] 14.0% ---------------------------------------------------------------------- for-loop [12] 100.0% [16] 654(3.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [44] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [17] 860(4.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [21] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [18] 690(3.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [22] 100.0% ---------------------------------------------------------------------- post-process [15] 100.0% [19] 620(3.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [23] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [20] 208(1.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ---------------------------------------------------------------------- simplify! [17] 100.0% [21] 860(4.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [25] 100.0% ---------------------------------------------------------------------- gen-series! [18] 100.0% [22] 690(3.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [26] 100.0% ---------------------------------------------------------------------- for-loop [19] 100.0% [23] 620(3.1%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [26] 100.0% ---------------------------------------------------------------------- post-process [15] 49.3% finalize-iter! [20] 50.7% [24] 410(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [27] 100.0% ---------------------------------------------------------------------- for-loop [21] 1.4% run [7] 48.7% [25] 20098(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.7% loop [28] 41.7% run-improve58 [2] 8.2% simplify [30] 1.4% ---------------------------------------------------------------------- append-map [23] 47.3% for-loop [22] 52.7% [26] 1310(6.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [29] 100.0% ---------------------------------------------------------------------- ??? [24] 100.0% [27] 410(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [31] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 2.3% ??? [25] 97.7% [28] 16896(84.1%) 220(1.1%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [32] 43.3% make-exacts* [36] 43.0% loop [37] 12.5% ---------------------------------------------------------------------- taylor-alt [26] 100.0% [29] 1310(6.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [33] 100.0% ---------------------------------------------------------------------- ??? [25] 100.0% [30] 860(4.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [62] 74.4% for-loop [35] 25.6% ---------------------------------------------------------------------- for-loop [27] 100.0% [31] 410(2.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [34] 100.0% ---------------------------------------------------------------------- loop [28] 100.0% [32] 7308(36.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [37] 53.0% make-exacts* [36] 41.5% eval-prog [40] 5.5% ---------------------------------------------------------------------- for-loop [29] 100.0% [33] 1310(6.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [38] 100.0% ---------------------------------------------------------------------- atab-add-altn [31] 100.0% [34] 410(2.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [39] 100.0% ---------------------------------------------------------------------- simplify [30] 100.0% [35] 220(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [65] 100.0% ---------------------------------------------------------------------- loop [32] 29.5% loop [28] 70.5% [36] 10294(51.2%) 246(1.2%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [52] 56.2% map [41] 41.4% ---------------------------------------------------------------------- loop [28] 35.3% loop [32] 64.7% [37] 5980(29.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [41] 100.0% ---------------------------------------------------------------------- location-do [33] 100.0% [38] 1310(6.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [42] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [34] 100.0% [39] 410(2.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [43] 100.0% ---------------------------------------------------------------------- loop [32] 100.0% [40] 402(2.0%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [44] 100.0% ---------------------------------------------------------------------- f37 [57] 4.3% make-exacts* [36] 39.8% loop [37] 55.9% [41] 10700(53.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [52] 95.7% parse-loop50 [49] 2.7% f37 [57] 1.6% ---------------------------------------------------------------------- approximate9 [38] 100.0% [42] 1310(6.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [44] 100.0% ---------------------------------------------------------------------- errors [39] 100.0% [43] 410(2.0%) 410(2.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ---------------------------------------------------------------------- eval-prog [40] 7.8% for-loop [16] 8.3% for-loop [11] 12.1% loop [52] 15.7% for-loop [10] 16.1% ??? [45] 20.0% loop [42] 20.0% [44] 1712(8.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [45] 20.0% simplify [46] 16.9% ??? [3] 16.1% ??? [48] 15.7% ??? [4] 12.1% ??? [5] 8.3% bigfloat-hash [47] 7.8% ??? [6] 3.1% ---------------------------------------------------------------------- hash-ref! [44] 100.0% [45] 1310(6.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [44] 100.0% ---------------------------------------------------------------------- for-loop [13] 16.3% hash-ref! [44] 83.7% [46] 1310(6.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [57] 51.6% parse-loop50 [49] 33.1% debug-print [51] 15.3% ---------------------------------------------------------------------- hash-ref! [44] 100.0% [47] 402(2.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [50] 100.0% ---------------------------------------------------------------------- hash-ref! [44] 100.0% [48] 402(2.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [52] 100.0% ---------------------------------------------------------------------- loop [52] 7.4% simplify [46] 16.8% parse-loop50 [49] 24.2% map [41] 51.6% [49] 896(4.5%) 654(3.3%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [52] 34.4% parse-loop50 [49] 24.2% ---------------------------------------------------------------------- bigfloat-hash [47] 100.0% [50] 402(2.0%) 210(1.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [54] 47.8% ---------------------------------------------------------------------- simplify [46] 100.0% [51] 200(1.0%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [53] 100.0% ---------------------------------------------------------------------- post-process [15] 0.9% make-exacts* [36] 1.8% ??? [48] 2.3% parse-loop50 [49] 2.5% map [41] 2.8% loop [52] 89.6% [52] 17494(87.0%) 300(1.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [52] 89.6% ??? [55] 4.5% hash-ref! [44] 2.3% f37 [57] 1.4% parse-loop50 [49] 1.1% completely-simplify-alt [58] 0.9% ->flonum [56] 0.1% ---------------------------------------------------------------------- debug-print [51] 100.0% [53] 200(1.0%) 200(1.0%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- bfcanonicalize [50] 100.0% [54] 192(1.0%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 size+limbs->integer [59] 100.0% ---------------------------------------------------------------------- loop [52] 100.0% [55] 14614(72.7%) 1188(5.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [60] 50.2% real->bigfloat [61] 33.6% ??? [73] 8.1% ---------------------------------------------------------------------- loop [52] 100.0% [56] 1114(5.5%) 234(1.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [77] 41.1% ??? [63] 37.9% ---------------------------------------------------------------------- loop [52] 17.9% map [41] 26.0% simplify [46] 56.1% [57] 676(3.4%) 456(2.3%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [41] 50.4% ---------------------------------------------------------------------- loop [52] 100.0% [58] 622(3.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [62] 100.0% ---------------------------------------------------------------------- bigfloat->sig+exp [54] 100.0% [59] 192(1.0%) 192(1.0%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 ---------------------------------------------------------------------- ??? [55] 100.0% [60] 7330(36.5%) 220(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [64] 78.6% ...higher-order.rkt:369:33 [66] 12.1% bf<= [67] 3.3% ...higher-order.rkt:373:33 [68] 2.9% ---------------------------------------------------------------------- ??? [55] 100.0% [61] 4916(24.5%) 4182(20.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [74] 14.9% ---------------------------------------------------------------------- completely-simplify-alt [58] 49.3% simplify [30] 50.7% [62] 1262(6.3%) 202(1.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [65] 84.0% ---------------------------------------------------------------------- ->flonum [56] 100.0% [63] 422(2.1%) 422(2.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ??? [60] 100.0% [64] 5764(28.7%) 988(4.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [69] 42.1% bfsqr [71] 20.4% ??? [77] 20.3% ---------------------------------------------------------------------- for-loop [35] 17.2% simplify-expr [62] 82.8% [65] 1280(6.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [70] 100.0% ---------------------------------------------------------------------- ??? [60] 100.0% [66] 886(4.4%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [72] 73.6% ??? [73] 26.4% ---------------------------------------------------------------------- ??? [60] 100.0% [67] 244(1.2%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [77] 100.0% ---------------------------------------------------------------------- ??? [60] 100.0% [68] 216(1.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [72] 100.0% ---------------------------------------------------------------------- ??? [64] 100.0% [69] 2428(12.1%) 1636(8.1%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [74] 32.6% ---------------------------------------------------------------------- iterate-egraph!5 [65] 100.0% [70] 1280(6.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [75] 51.6% for-loop [76] 48.4% ---------------------------------------------------------------------- ??? [64] 100.0% [71] 1178(5.9%) 690(3.4%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [74] 41.4% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [68] 24.9% ...higher-order.rkt:369:33 [66] 75.1% [72] 868(4.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [73] 100.0% ---------------------------------------------------------------------- ...higher-order.rkt:369:33 [66] 10.3% ??? [72] 38.0% ??? [55] 51.7% [73] 2282(11.4%) 234(1.2%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [77] 89.7% ---------------------------------------------------------------------- bfsqr [71] 24.2% real->bigfloat [61] 36.4% bfadd [69] 39.3% [74] 2014(10.0%) 2014(10.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- one-iter [70] 100.0% [75] 660(3.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [78] 100.0% ---------------------------------------------------------------------- for-loop [76] 50.0% one-iter [70] 50.0% [76] 620(3.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [76] 50.0% match-e [79] 50.0% ---------------------------------------------------------------------- bf<= [67] 6.2% ->flonum [56] 11.7% ??? [64] 29.8% ??? [73] 52.2% [77] 3920(19.5%) 942(4.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [80] 70.2% ??? [82] 5.8% ---------------------------------------------------------------------- loop [75] 100.0% [78] 660(3.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [84] 33.3% update-leader! [85] 33.3% reduce-to-single! [83] 33.3% ---------------------------------------------------------------------- for-loop [76] 100.0% [79] 620(3.1%) 200(1.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [81] 67.7% ---------------------------------------------------------------------- ??? [77] 100.0% [80] 2752(13.7%) 1410(7.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [86] 48.8% ---------------------------------------------------------------------- match-e [79] 100.0% [81] 420(2.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [87] 100.0% ---------------------------------------------------------------------- ??? [77] 100.0% [82] 226(1.1%) 226(1.1%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ---------------------------------------------------------------------- apply-match [78] 100.0% [83] 220(1.1%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [88] 100.0% ---------------------------------------------------------------------- apply-match [78] 100.0% [84] 220(1.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 loop! [89] 100.0% ---------------------------------------------------------------------- apply-match [78] 100.0% [85] 220(1.1%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [90] 100.0% ---------------------------------------------------------------------- ??? [80] 100.0% [86] 1342(6.7%) 1342(6.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- list-cartesian-product [87] 50.0% for-loop [81] 50.0% [87] 420(2.1%) 200(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [87] 50.0% for-loop [91] 26.2% ---------------------------------------------------------------------- reduce-to-single! [83] 100.0% [88] 220(1.1%) 220(1.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ---------------------------------------------------------------------- merge-egraph-nodes! [84] 100.0% [89] 220(1.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [92] 100.0% ---------------------------------------------------------------------- update-leader! [85] 100.0% [90] 220(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [93] 100.0% ---------------------------------------------------------------------- list-cartesian-product [87] 100.0% [91] 220(1.1%) 220(1.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- loop! [89] 100.0% [92] 220(1.1%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [94] 100.0% ---------------------------------------------------------------------- for-loop [90] 100.0% [93] 220(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [95] 100.0% ---------------------------------------------------------------------- custom-set-union [92] 100.0% [94] 220(1.1%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [96] 100.0% ---------------------------------------------------------------------- for-loop [93] 100.0% [95] 220(1.1%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [97] 100.0% ---------------------------------------------------------------------- for-loop [94] 100.0% [96] 220(1.1%) 220(1.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- hash-update! [95] 100.0% [97] 220(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [98] 100.0% ---------------------------------------------------------------------- ??? [97] 100.0% [98] 220(1.1%) 220(1.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------