Profiling results ----------------- Total cpu time observed: 27500ms (out of 27944ms) Number of samples taken: 120 (once every 229ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 100 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [21] 100.0% [1] 26676(97.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% --------------------------------------------------------------------- ??? [21] 100.0% [2] 16252(59.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 90.9% get-final-combination [6] 3.8% setup-prog [7] 2.8% loop [27] 2.5% --------------------------------------------------------------------- f16 [47] 100.0% [3] 206(0.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [8] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 26676(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [21] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 14770(53.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 624(2.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [10] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 456(1.7%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [11] 100.0% --------------------------------------------------------------------- taylor-invert [3] 100.0% [8] 206(0.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [47] 100.0% --------------------------------------------------------------------- for-loop [5] 100.0% [9] 14770(53.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 95.9% gen-series! [14] 2.8% finalize-iter! [15] 1.4% --------------------------------------------------------------------- get-final-combination [6] 100.0% [10] 624(2.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [56] 100.0% --------------------------------------------------------------------- setup-prog [7] 100.0% [11] 456(1.7%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [12] 100.0% --------------------------------------------------------------------- simplify-alt [11] 3.0% loop [56] 4.1% ??? [21] 92.9% [12] 15240(55.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 71.6% for-loop [18] 15.8% iterate-egraph!5 [22] 11.2% loop [23] 1.4% --------------------------------------------------------------------- run-iter! [9] 100.0% [13] 14160(51.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [16] 100.0% --------------------------------------------------------------------- run-iter! [9] 100.0% [14] 410(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [19] 100.0% --------------------------------------------------------------------- run-iter! [9] 100.0% [15] 200(0.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [20] 100.0% --------------------------------------------------------------------- simplify! [13] 100.0% [16] 14160(51.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [21] 100.0% --------------------------------------------------------------------- simplify [12] 100.0% [17] 10912(39.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [22] 98.0% loop [23] 2.0% --------------------------------------------------------------------- simplify [12] 100.0% [18] 2410(8.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [22] 100.0% --------------------------------------------------------------------- gen-series! [14] 100.0% [19] 410(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [24] 100.0% --------------------------------------------------------------------- finalize-iter! [15] 100.0% [20] 200(0.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [25] 100.0% --------------------------------------------------------------------- for-loop [16] 17.7% run [4] 40.6% [21] 27280(99.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.6% run-improve58 [2] 21.5% loop [27] 20.2% simplify [12] 17.7% --------------------------------------------------------------------- simplify [12] 11.5% for-loop [18] 16.3% simplify-expr [17] 72.2% [22] 14802(53.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [26] 97.0% map-enodes [28] 3.0% --------------------------------------------------------------------- simplify [12] 49.8% simplify-expr [17] 50.2% [23] 438(1.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [29] 100.0% --------------------------------------------------------------------- for-loop [19] 100.0% [24] 410(1.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [30] 100.0% --------------------------------------------------------------------- ??? [20] 100.0% [25] 200(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [31] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [26] 14362(52.2%) 228(0.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [32] 55.7% loop [33] 42.7% --------------------------------------------------------------------- run-improve58 [2] 3.5% ??? [21] 96.5% [27] 11430(41.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [34] 47.2% make-exacts* [39] 37.0% loop [40] 15.8% --------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [28] 440(1.6%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [56] 100.0% --------------------------------------------------------------------- loop [23] 100.0% [29] 438(1.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [35] 100.0% --------------------------------------------------------------------- taylor-alt [24] 100.0% [30] 410(1.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [36] 100.0% --------------------------------------------------------------------- for-loop [25] 100.0% [31] 200(0.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [37] 100.0% --------------------------------------------------------------------- for-loop [32] 50.0% one-iter [26] 50.0% [32] 8000(29.1%) 1202(4.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 50.0% match-e [45] 42.5% --------------------------------------------------------------------- one-iter [26] 100.0% [33] 6134(22.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% --------------------------------------------------------------------- loop [27] 100.0% [34] 5396(19.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [40] 69.6% make-exacts* [39] 30.4% --------------------------------------------------------------------- pass [29] 100.0% [35] 438(1.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [42] 50.2% for-loop [43] 49.8% --------------------------------------------------------------------- for-loop [30] 100.0% [36] 410(1.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [41] 100.0% --------------------------------------------------------------------- atab-add-altn [31] 100.0% [37] 200(0.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [44] 100.0% --------------------------------------------------------------------- loop [33] 100.0% [38] 6134(22.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [66] 23.5% match-e [45] 22.8% merge-egraph-nodes! [52] 20.2% mk-enode! [58] 13.5% for-loop [46] 10.2% substitute-e [53] 9.7% --------------------------------------------------------------------- loop [34] 27.9% loop [27] 72.1% [39] 5870(21.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [56] 52.2% map [50] 47.8% --------------------------------------------------------------------- loop [27] 32.4% loop [34] 67.6% [40] 5560(20.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [50] 100.0% --------------------------------------------------------------------- location-do [36] 100.0% [41] 410(1.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f16 [47] 100.0% --------------------------------------------------------------------- for-loop [35] 100.0% [42] 220(0.8%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [48] 100.0% --------------------------------------------------------------------- for-loop [35] 100.0% [43] 218(0.8%) 218(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 --------------------------------------------------------------------- best-and-tied-at-points [37] 100.0% [44] 200(0.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [49] 100.0% --------------------------------------------------------------------- apply-match [38] 13.4% for-loop [57] 15.8% for-loop [32] 70.8% [45] 8198(29.8%) 3702(13.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [51] 44.5% for-loop [57] 13.7% loop [56] 2.4% list-cartesian-product [60] 1.4% --------------------------------------------------------------------- apply-match [38] 100.0% [46] 626(2.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [66] 35.5% substitute-e [53] 32.3% merge-egraph-nodes! [52] 32.3% --------------------------------------------------------------------- map [50] 12.4% f16 [47] 24.9% simplify [8] 25.1% approximate9 [41] 37.6% [47] 410(1.5%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [50] 37.6% taylor-invert [3] 25.1% f16 [47] 24.9% taylor [55] 12.4% --------------------------------------------------------------------- argmin [42] 100.0% [48] 220(0.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [54] 100.0% --------------------------------------------------------------------- errors [44] 100.0% [49] 200(0.7%) 200(0.7%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 --------------------------------------------------------------------- f16 [47] 4.7% make-exacts* [39] 32.0% loop [40] 63.4% [50] 8776(31.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [56] 95.3% simplify-node [63] 2.3% f16 [47] 2.3% --------------------------------------------------------------------- match-e [45] 100.0% [51] 4458(16.2%) 2412(8.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [57] 34.3% list-cartesian-product [60] 11.2% loop [56] 4.9% --------------------------------------------------------------------- merge-egraph-nodes! [52] 6.9% for-loop [62] 7.6% for-loop [46] 14.0% apply-match [38] 71.5% [52] 1442(5.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [59] 63.3% loop! [66] 22.2% for-loop [62] 7.6% merge-egraph-nodes! [52] 6.9% --------------------------------------------------------------------- substitute-e [53] 12.5% for-loop [46] 25.2% apply-match [38] 62.2% [53] 800(2.9%) 200(0.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [58] 75.0% substitute-e [53] 12.5% --------------------------------------------------------------------- expression-cost [48] 100.0% [54] 220(0.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [61] 100.0% --------------------------------------------------------------------- f16 [47] 100.0% [55] 204(0.7%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [64] 100.0% --------------------------------------------------------------------- ??? [65] 0.1% make-exacts* [39] 0.4% map [50] 0.8% match-e [45] 1.4% map-enodes [28] 1.5% for-loop [51] 1.6% extract-alt [10] 3.8% loop! [66] 5.4% loop [56] 85.1% [56] 13934(50.7%) 440(1.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [56] 85.1% loop! [66] 5.4% simplify [12] 3.8% for-loop [74] 1.4% ??? [65] 0.7% ->flonum [67] 0.5% real->bigfloat [75] 0.1% --------------------------------------------------------------------- match-e [45] 47.5% for-loop [51] 52.5% [57] 3302(12.0%) 640(2.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 74.5% ??? [71] 6.1% --------------------------------------------------------------------- substitute-e [53] 42.1% apply-match [38] 57.9% [58] 1426(5.2%) 824(3.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [69] 28.1% new-enode [72] 14.2% --------------------------------------------------------------------- merge-egraph-nodes! [52] 100.0% [59] 1022(3.7%) 420(1.5%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [68] 39.3% update-en-expr [73] 19.6% --------------------------------------------------------------------- list-cartesian-product [60] 12.3% match-e [45] 27.0% for-loop [51] 60.7% [60] 822(3.0%) 822(3.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [60] 12.3% --------------------------------------------------------------------- compile [54] 33.3% ??? [70] 66.7% [61] 220(0.8%) 220(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [70] 66.7% --------------------------------------------------------------------- merge-egraph-nodes! [52] 100.0% [62] 218(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [52] 100.0% --------------------------------------------------------------------- map [50] 100.0% [63] 206(0.7%) 206(0.7%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 --------------------------------------------------------------------- taylor [55] 100.0% [64] 204(0.7%) 204(0.7%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 --------------------------------------------------------------------- loop [56] 100.0% [65] 10798(39.3%) 1628(5.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [76] 38.8% real->bigfloat [75] 20.4% loop [56] 19.6% ??? [92] 6.1% --------------------------------------------------------------------- merge-egraph-nodes! [52] 10.1% for-loop [46] 10.6% loop [56] 24.4% apply-match [38] 54.8% [66] 2086(7.6%) 622(2.3%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [77] 40.6% loop [56] 24.4% set [78] 14.8% --------------------------------------------------------------------- loop [56] 100.0% [67] 632(2.3%) 202(0.7%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [94] 36.4% ??? [82] 31.6% --------------------------------------------------------------------- update-leader! [59] 100.0% [68] 402(1.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [79] 100.0% --------------------------------------------------------------------- mk-enode! [58] 100.0% [69] 400(1.5%) 400(1.5%) hash-has-key? ...et/private/more-scheme.rkt:368:13 --------------------------------------------------------------------- hash-ref! [61] 100.0% [70] 220(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [61] 100.0% --------------------------------------------------------------------- for-loop [57] 100.0% [71] 202(0.7%) 202(0.7%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 --------------------------------------------------------------------- mk-enode! [58] 100.0% [72] 202(0.7%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [80] 100.0% --------------------------------------------------------------------- update-leader! [59] 100.0% [73] 200(0.7%) 200(0.7%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- loop [56] 100.0% [74] 200(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [81] 100.0% --------------------------------------------------------------------- loop [56] 49.0% ??? [65] 51.0% [75] 4322(15.7%) 3828(13.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 11.4% --------------------------------------------------------------------- ??? [65] 100.0% [76] 4186(15.2%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 67.1% ...higher-order.rkt:373:33 [83] 19.0% bf* [85] 13.9% --------------------------------------------------------------------- loop! [66] 100.0% [77] 846(3.1%) 202(0.7%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [84] 76.1% --------------------------------------------------------------------- loop! [66] 100.0% [78] 618(2.2%) 618(2.2%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- for-loop [68] 100.0% [79] 402(1.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [86] 100.0% --------------------------------------------------------------------- new-enode [72] 100.0% [80] 202(0.7%) 202(0.7%) mutable-set ...racket/private/set-types.rkt:1000:0 --------------------------------------------------------------------- for-loop [74] 100.0% [81] 200(0.7%) 200(0.7%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 --------------------------------------------------------------------- ->flonum [67] 100.0% [82] 200(0.7%) 200(0.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- ??? [76] 100.0% [83] 796(2.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [88] 65.3% ??? [92] 34.7% --------------------------------------------------------------------- custom-set-union [77] 100.0% [84] 644(2.3%) 220(0.8%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [89] 65.8% --------------------------------------------------------------------- ??? [76] 100.0% [85] 582(2.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [87] 100.0% --------------------------------------------------------------------- for-loop [79] 100.0% [86] 402(1.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [90] 100.0% --------------------------------------------------------------------- bf* [85] 17.2% ??? [76] 82.8% [87] 3390(12.3%) 288(1.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [91] 64.1% ??? [94] 27.4% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [83]100.0% [88] 520(1.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% --------------------------------------------------------------------- for-loop [84] 100.0% [89] 424(1.5%) 424(1.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------- hash-update! [86] 100.0% [90] 402(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [93] 100.0% --------------------------------------------------------------------- ??? [87] 100.0% [91] 2174(7.9%) 1406(5.1%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 35.3% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [83] 18.9% ??? [88] 35.7% ??? [65] 45.4% [92] 1458(5.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% --------------------------------------------------------------------- ??? [90] 100.0% [93] 402(1.5%) 402(1.5%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- ->flonum [67] 8.8% ??? [87] 35.5% ??? [92] 55.7% [94] 2616(9.5%) 1156(4.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 47.0% ??? [97] 8.8% --------------------------------------------------------------------- real->bigfloat [75] 39.1% bfadd [91] 60.9% [95] 1262(4.6%) 1262(4.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [94] 100.0% [96] 1230(4.5%) 728(2.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 40.8% --------------------------------------------------------------------- ??? [94] 100.0% [97] 230(0.8%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [99] 100.0% --------------------------------------------------------------------- ??? [96] 100.0% [98] 502(1.8%) 502(1.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------- ??? [97] 100.0% [99] 230(0.8%) 230(0.8%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ---------------------------------------------------------------------